1547630241.569 * [misc]progress: [Phase 1 of 3] Setting up. 1547630241.569 * * * [misc]progress: [1/2] Preparing points 1547630241.569 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1547630241.637 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.637 * * * * [misc]points: Sampling 205 additional inputs, on iter 1 have 51 / 256 1547630241.694 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.694 * * * * [misc]points: Sampling 147 additional inputs, on iter 2 have 109 / 256 1547630241.716 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.716 * * * * [misc]points: Sampling 116 additional inputs, on iter 3 have 140 / 256 1547630241.775 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.775 * * * * [misc]points: Sampling 85 additional inputs, on iter 4 have 171 / 256 1547630241.805 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.806 * * * * [misc]points: Sampling 59 additional inputs, on iter 5 have 197 / 256 1547630241.826 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.827 * * * * [misc]points: Sampling 41 additional inputs, on iter 6 have 215 / 256 1547630241.843 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.843 * * * * [misc]points: Sampling 28 additional inputs, on iter 7 have 228 / 256 1547630241.856 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.856 * * * * [misc]points: Sampling 22 additional inputs, on iter 8 have 234 / 256 1547630241.868 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.868 * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 240 / 256 1547630241.878 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.878 * * * * [misc]points: Sampling 12 additional inputs, on iter 10 have 244 / 256 1547630241.887 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.887 * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 1547630241.896 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.896 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 253 / 256 1547630241.903 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.903 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 1547630241.910 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.910 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 254 / 256 1547630241.917 * * * * [misc]points: Filtering points with unrepresentable outputs 1547630241.917 * * * * [exit]points: Sampled 256 points with exact outputs 1547630241.917 * * * [misc]progress: [2/2] Setting up program. 1547630241.923 * [misc]progress: [Phase 2 of 3] Improving. 1547630241.923 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1547630241.923 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1547630241.923 * * [misc]simplify: iters left: 6 (13 enodes) 1547630241.928 * * [misc]simplify: iters left: 5 (28 enodes) 1547630241.936 * * [misc]simplify: iters left: 4 (44 enodes) 1547630241.948 * * [misc]simplify: iters left: 3 (54 enodes) 1547630241.979 * * [misc]simplify: iters left: 2 (57 enodes) 1547630241.986 * * [misc]simplify: iters left: 1 (65 enodes) 1547630241.994 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1547630241.994 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1547630242.001 * * [misc]progress: iteration 1 / 4 1547630242.001 * * * [misc]progress: picking best candidate 1547630242.006 * * * * [misc]pick: Picked # 1547630242.006 * * * [misc]progress: localizing error 1547630242.048 * * * [misc]progress: generating rewritten candidates 1547630242.048 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1547630242.051 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1547630242.053 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1547630242.062 * * * [misc]progress: generating series expansions 1547630242.062 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1547630242.062 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1547630242.062 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1547630242.062 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.062 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.062 * [misc]taylor: Taking taylor expansion of k in k 1547630242.062 * [misc]backup-simplify: Simplify 0 into 0 1547630242.062 * [misc]backup-simplify: Simplify 1 into 1 1547630242.062 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.062 * [misc]backup-simplify: Simplify 2 into 2 1547630242.062 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630242.062 * [misc]taylor: Taking taylor expansion of n in k 1547630242.062 * [misc]backup-simplify: Simplify n into n 1547630242.062 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.062 * [misc]backup-simplify: Simplify PI into PI 1547630242.062 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630242.062 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630242.062 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630242.063 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630242.063 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.063 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630242.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630242.063 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.063 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.063 * [misc]taylor: Taking taylor expansion of k in n 1547630242.063 * [misc]backup-simplify: Simplify k into k 1547630242.063 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.063 * [misc]backup-simplify: Simplify 2 into 2 1547630242.063 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.063 * [misc]taylor: Taking taylor expansion of n in n 1547630242.063 * [misc]backup-simplify: Simplify 0 into 0 1547630242.063 * [misc]backup-simplify: Simplify 1 into 1 1547630242.063 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.063 * [misc]backup-simplify: Simplify PI into PI 1547630242.064 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630242.064 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630242.064 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630242.065 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630242.065 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.065 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630242.065 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630242.065 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630242.065 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.066 * [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)))) 1547630242.066 * [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))))) 1547630242.066 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.066 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.066 * [misc]taylor: Taking taylor expansion of k in n 1547630242.066 * [misc]backup-simplify: Simplify k into k 1547630242.066 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.066 * [misc]backup-simplify: Simplify 2 into 2 1547630242.066 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.066 * [misc]taylor: Taking taylor expansion of n in n 1547630242.067 * [misc]backup-simplify: Simplify 0 into 0 1547630242.067 * [misc]backup-simplify: Simplify 1 into 1 1547630242.067 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.067 * [misc]backup-simplify: Simplify PI into PI 1547630242.067 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630242.067 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630242.067 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630242.068 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630242.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.068 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630242.068 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630242.068 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630242.068 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.069 * [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)))) 1547630242.069 * [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))))) 1547630242.069 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547630242.069 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547630242.069 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630242.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.069 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630242.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.070 * [misc]taylor: Taking taylor expansion of k in k 1547630242.070 * [misc]backup-simplify: Simplify 0 into 0 1547630242.070 * [misc]backup-simplify: Simplify 1 into 1 1547630242.070 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547630242.070 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.070 * [misc]taylor: Taking taylor expansion of n in k 1547630242.070 * [misc]backup-simplify: Simplify n into n 1547630242.070 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.070 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630242.070 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630242.070 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.070 * [misc]backup-simplify: Simplify 2 into 2 1547630242.070 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.070 * [misc]backup-simplify: Simplify PI into PI 1547630242.070 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.070 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.070 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630242.070 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.071 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.071 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.071 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547630242.072 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547630242.072 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547630242.073 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630242.073 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630242.079 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.080 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547630242.080 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.080 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.081 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547630242.082 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.082 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.082 * [misc]backup-simplify: Simplify 0 into 0 1547630242.082 * [misc]backup-simplify: Simplify 0 into 0 1547630242.082 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547630242.083 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630242.084 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.085 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630242.085 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.085 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547630242.086 * [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))))))) 1547630242.087 * [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))))))) 1547630242.089 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.090 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547630242.095 * [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 1547630242.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547630242.096 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.097 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.098 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630242.100 * [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 1547630242.100 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.100 * [misc]backup-simplify: Simplify 0 into 0 1547630242.100 * [misc]backup-simplify: Simplify 0 into 0 1547630242.100 * [misc]backup-simplify: Simplify 0 into 0 1547630242.102 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547630242.103 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.108 * [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 1547630242.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630242.109 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630242.112 * [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))))) 1547630242.115 * [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))))) 1547630242.120 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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))))) 1547630242.121 * [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)))) 1547630242.121 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547630242.121 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.121 * [misc]taylor: Taking taylor expansion of k in k 1547630242.121 * [misc]backup-simplify: Simplify 0 into 0 1547630242.121 * [misc]backup-simplify: Simplify 1 into 1 1547630242.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.121 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630242.122 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630242.122 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.122 * [misc]backup-simplify: Simplify 2 into 2 1547630242.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630242.122 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.122 * [misc]backup-simplify: Simplify PI into PI 1547630242.122 * [misc]taylor: Taking taylor expansion of n in k 1547630242.122 * [misc]backup-simplify: Simplify n into n 1547630242.122 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630242.122 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630242.122 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630242.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.122 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.123 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.123 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630242.123 * [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)))) 1547630242.123 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.123 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of k in n 1547630242.123 * [misc]backup-simplify: Simplify k into k 1547630242.123 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.123 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.123 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.124 * [misc]backup-simplify: Simplify 2 into 2 1547630242.124 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.124 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.124 * [misc]backup-simplify: Simplify PI into PI 1547630242.124 * [misc]taylor: Taking taylor expansion of n in n 1547630242.124 * [misc]backup-simplify: Simplify 0 into 0 1547630242.124 * [misc]backup-simplify: Simplify 1 into 1 1547630242.124 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.125 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.125 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.125 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630242.125 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630242.126 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.127 * [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))) 1547630242.127 * [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)))) 1547630242.127 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630242.127 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630242.127 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630242.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630242.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.128 * [misc]taylor: Taking taylor expansion of k in n 1547630242.128 * [misc]backup-simplify: Simplify k into k 1547630242.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630242.128 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.128 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.128 * [misc]backup-simplify: Simplify 2 into 2 1547630242.128 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.128 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.128 * [misc]backup-simplify: Simplify PI into PI 1547630242.128 * [misc]taylor: Taking taylor expansion of n in n 1547630242.128 * [misc]backup-simplify: Simplify 0 into 0 1547630242.128 * [misc]backup-simplify: Simplify 1 into 1 1547630242.128 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630242.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630242.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.131 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1547630242.131 * [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)))) 1547630242.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547630242.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547630242.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630242.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.132 * [misc]taylor: Taking taylor expansion of k in k 1547630242.132 * [misc]backup-simplify: Simplify 0 into 0 1547630242.132 * [misc]backup-simplify: Simplify 1 into 1 1547630242.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.132 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547630242.132 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630242.132 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630242.132 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.132 * [misc]backup-simplify: Simplify 2 into 2 1547630242.132 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.132 * [misc]backup-simplify: Simplify PI into PI 1547630242.132 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.133 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.133 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.133 * [misc]taylor: Taking taylor expansion of n in k 1547630242.133 * [misc]backup-simplify: Simplify n into n 1547630242.133 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.133 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.133 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.133 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.133 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630242.134 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547630242.134 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547630242.135 * [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)))) 1547630242.136 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1547630242.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630242.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.139 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630242.139 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.140 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547630242.141 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.141 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.141 * [misc]backup-simplify: Simplify 0 into 0 1547630242.141 * [misc]backup-simplify: Simplify 0 into 0 1547630242.142 * [misc]backup-simplify: Simplify 0 into 0 1547630242.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.143 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.146 * [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 1547630242.146 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630242.146 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.148 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547630242.149 * [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 1547630242.149 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.149 * [misc]backup-simplify: Simplify 0 into 0 1547630242.149 * [misc]backup-simplify: Simplify 0 into 0 1547630242.149 * [misc]backup-simplify: Simplify 0 into 0 1547630242.149 * [misc]backup-simplify: Simplify 0 into 0 1547630242.150 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.156 * [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 1547630242.157 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630242.157 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.159 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547630242.163 * [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 1547630242.163 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.164 * [misc]backup-simplify: Simplify 0 into 0 1547630242.164 * [misc]backup-simplify: Simplify 0 into 0 1547630242.164 * [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))))) 1547630242.165 * [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)) 1547630242.165 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547630242.165 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of k in k 1547630242.165 * [misc]backup-simplify: Simplify 0 into 0 1547630242.165 * [misc]backup-simplify: Simplify 1 into 1 1547630242.165 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.165 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of -2 in k 1547630242.165 * [misc]backup-simplify: Simplify -2 into -2 1547630242.165 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630242.165 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.165 * [misc]backup-simplify: Simplify PI into PI 1547630242.165 * [misc]taylor: Taking taylor expansion of n in k 1547630242.166 * [misc]backup-simplify: Simplify n into n 1547630242.166 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630242.166 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630242.166 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630242.166 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.166 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.166 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630242.166 * [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))) 1547630242.166 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of k in n 1547630242.167 * [misc]backup-simplify: Simplify k into k 1547630242.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.167 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.167 * [misc]backup-simplify: Simplify -2 into -2 1547630242.167 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.167 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.167 * [misc]backup-simplify: Simplify PI into PI 1547630242.167 * [misc]taylor: Taking taylor expansion of n in n 1547630242.167 * [misc]backup-simplify: Simplify 0 into 0 1547630242.167 * [misc]backup-simplify: Simplify 1 into 1 1547630242.168 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.168 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.168 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.168 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.169 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630242.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.170 * [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))) 1547630242.170 * [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)))) 1547630242.171 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.171 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of k in n 1547630242.171 * [misc]backup-simplify: Simplify k into k 1547630242.171 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.171 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.171 * [misc]backup-simplify: Simplify -2 into -2 1547630242.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.171 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.171 * [misc]backup-simplify: Simplify PI into PI 1547630242.171 * [misc]taylor: Taking taylor expansion of n in n 1547630242.171 * [misc]backup-simplify: Simplify 0 into 0 1547630242.171 * [misc]backup-simplify: Simplify 1 into 1 1547630242.172 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.172 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.172 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.172 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.172 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630242.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.174 * [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))) 1547630242.174 * [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)))) 1547630242.175 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of k in k 1547630242.175 * [misc]backup-simplify: Simplify 0 into 0 1547630242.175 * [misc]backup-simplify: Simplify 1 into 1 1547630242.175 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.175 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.175 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547630242.175 * [misc]taylor: Taking taylor expansion of -2 in k 1547630242.175 * [misc]backup-simplify: Simplify -2 into -2 1547630242.175 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.175 * [misc]backup-simplify: Simplify PI into PI 1547630242.176 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.176 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.176 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.176 * [misc]taylor: Taking taylor expansion of n in k 1547630242.176 * [misc]backup-simplify: Simplify n into n 1547630242.176 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.176 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.177 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.177 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630242.177 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547630242.178 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547630242.178 * [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)))) 1547630242.179 * [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)))) 1547630242.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.181 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630242.183 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547630242.184 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630242.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.185 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.185 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547630242.187 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.187 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.187 * [misc]backup-simplify: Simplify 0 into 0 1547630242.187 * [misc]backup-simplify: Simplify 0 into 0 1547630242.187 * [misc]backup-simplify: Simplify 0 into 0 1547630242.188 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.190 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.195 * [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 1547630242.195 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630242.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.196 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.197 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547630242.200 * [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 1547630242.200 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.200 * [misc]backup-simplify: Simplify 0 into 0 1547630242.200 * [misc]backup-simplify: Simplify 0 into 0 1547630242.200 * [misc]backup-simplify: Simplify 0 into 0 1547630242.200 * [misc]backup-simplify: Simplify 0 into 0 1547630242.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.203 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.211 * [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 1547630242.212 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.212 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630242.213 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.213 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.214 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1547630242.218 * [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 1547630242.218 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.218 * [misc]backup-simplify: Simplify 0 into 0 1547630242.218 * [misc]backup-simplify: Simplify 0 into 0 1547630242.219 * [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))))) 1547630242.219 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1547630242.219 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1547630242.219 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1547630242.220 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.220 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.220 * [misc]backup-simplify: Simplify 2 into 2 1547630242.220 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.220 * [misc]taylor: Taking taylor expansion of n in n 1547630242.220 * [misc]backup-simplify: Simplify 0 into 0 1547630242.220 * [misc]backup-simplify: Simplify 1 into 1 1547630242.220 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.220 * [misc]backup-simplify: Simplify PI into PI 1547630242.220 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.220 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.220 * [misc]backup-simplify: Simplify 2 into 2 1547630242.220 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.220 * [misc]taylor: Taking taylor expansion of n in n 1547630242.220 * [misc]backup-simplify: Simplify 0 into 0 1547630242.220 * [misc]backup-simplify: Simplify 1 into 1 1547630242.220 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.220 * [misc]backup-simplify: Simplify PI into PI 1547630242.220 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630242.220 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630242.221 * [misc]backup-simplify: Simplify 0 into 0 1547630242.221 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630242.222 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630242.222 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.223 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630242.224 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630242.224 * [misc]backup-simplify: Simplify 0 into 0 1547630242.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547630242.227 * [misc]backup-simplify: Simplify 0 into 0 1547630242.230 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630242.233 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547630242.234 * [misc]backup-simplify: Simplify 0 into 0 1547630242.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630242.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1547630242.239 * [misc]backup-simplify: Simplify 0 into 0 1547630242.243 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630242.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1547630242.246 * [misc]backup-simplify: Simplify 0 into 0 1547630242.250 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1547630242.255 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1547630242.255 * [misc]backup-simplify: Simplify 0 into 0 1547630242.255 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1547630242.255 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1547630242.255 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1547630242.255 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.255 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.255 * [misc]backup-simplify: Simplify 2 into 2 1547630242.255 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.255 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.255 * [misc]backup-simplify: Simplify PI into PI 1547630242.255 * [misc]taylor: Taking taylor expansion of n in n 1547630242.255 * [misc]backup-simplify: Simplify 0 into 0 1547630242.255 * [misc]backup-simplify: Simplify 1 into 1 1547630242.256 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.256 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.256 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.256 * [misc]backup-simplify: Simplify 2 into 2 1547630242.256 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.256 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.256 * [misc]backup-simplify: Simplify PI into PI 1547630242.256 * [misc]taylor: Taking taylor expansion of n in n 1547630242.256 * [misc]backup-simplify: Simplify 0 into 0 1547630242.256 * [misc]backup-simplify: Simplify 1 into 1 1547630242.256 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.257 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.257 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630242.259 * [misc]backup-simplify: Simplify 0 into 0 1547630242.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.261 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.261 * [misc]backup-simplify: Simplify 0 into 0 1547630242.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.265 * [misc]backup-simplify: Simplify 0 into 0 1547630242.267 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630242.269 * [misc]backup-simplify: Simplify 0 into 0 1547630242.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630242.274 * [misc]backup-simplify: Simplify 0 into 0 1547630242.277 * [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 1547630242.280 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630242.280 * [misc]backup-simplify: Simplify 0 into 0 1547630242.280 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1547630242.281 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1547630242.281 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1547630242.281 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.281 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.281 * [misc]backup-simplify: Simplify -2 into -2 1547630242.281 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.281 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.281 * [misc]backup-simplify: Simplify PI into PI 1547630242.281 * [misc]taylor: Taking taylor expansion of n in n 1547630242.281 * [misc]backup-simplify: Simplify 0 into 0 1547630242.281 * [misc]backup-simplify: Simplify 1 into 1 1547630242.281 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.281 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.281 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.281 * [misc]backup-simplify: Simplify -2 into -2 1547630242.282 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.282 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.282 * [misc]backup-simplify: Simplify PI into PI 1547630242.282 * [misc]taylor: Taking taylor expansion of n in n 1547630242.282 * [misc]backup-simplify: Simplify 0 into 0 1547630242.282 * [misc]backup-simplify: Simplify 1 into 1 1547630242.282 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.282 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.283 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.284 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630242.284 * [misc]backup-simplify: Simplify 0 into 0 1547630242.286 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.287 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.287 * [misc]backup-simplify: Simplify 0 into 0 1547630242.289 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.290 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.290 * [misc]backup-simplify: Simplify 0 into 0 1547630242.292 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.294 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630242.295 * [misc]backup-simplify: Simplify 0 into 0 1547630242.297 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.300 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630242.300 * [misc]backup-simplify: Simplify 0 into 0 1547630242.302 * [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 1547630242.306 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630242.306 * [misc]backup-simplify: Simplify 0 into 0 1547630242.306 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1547630242.306 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1547630242.306 * [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)))) 1547630242.306 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1547630242.306 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547630242.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630242.307 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.307 * [misc]taylor: Taking taylor expansion of k in k 1547630242.307 * [misc]backup-simplify: Simplify 0 into 0 1547630242.307 * [misc]backup-simplify: Simplify 1 into 1 1547630242.307 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.307 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.308 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630242.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.308 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.308 * [misc]taylor: Taking taylor expansion of k in k 1547630242.308 * [misc]backup-simplify: Simplify 0 into 0 1547630242.308 * [misc]backup-simplify: Simplify 1 into 1 1547630242.308 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.308 * [misc]backup-simplify: Simplify 2 into 2 1547630242.308 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630242.308 * [misc]taylor: Taking taylor expansion of n in k 1547630242.308 * [misc]backup-simplify: Simplify n into n 1547630242.308 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.308 * [misc]backup-simplify: Simplify PI into PI 1547630242.308 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630242.308 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630242.308 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630242.309 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630242.309 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.309 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.309 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630242.309 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630242.309 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547630242.309 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630242.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.309 * [misc]taylor: Taking taylor expansion of k in n 1547630242.309 * [misc]backup-simplify: Simplify k into k 1547630242.309 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.309 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630242.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.310 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630242.310 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.310 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.310 * [misc]taylor: Taking taylor expansion of k in n 1547630242.310 * [misc]backup-simplify: Simplify k into k 1547630242.310 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.310 * [misc]backup-simplify: Simplify 2 into 2 1547630242.310 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.310 * [misc]taylor: Taking taylor expansion of n in n 1547630242.310 * [misc]backup-simplify: Simplify 0 into 0 1547630242.310 * [misc]backup-simplify: Simplify 1 into 1 1547630242.310 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.310 * [misc]backup-simplify: Simplify PI into PI 1547630242.311 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630242.311 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630242.311 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630242.312 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630242.313 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.313 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630242.313 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630242.313 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630242.313 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.314 * [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)))) 1547630242.315 * [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))))) 1547630242.315 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of k in n 1547630242.315 * [misc]backup-simplify: Simplify k into k 1547630242.315 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.315 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630242.315 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.315 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630242.315 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.315 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630242.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.316 * [misc]taylor: Taking taylor expansion of k in n 1547630242.316 * [misc]backup-simplify: Simplify k into k 1547630242.316 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630242.316 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630242.316 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.316 * [misc]backup-simplify: Simplify 2 into 2 1547630242.316 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630242.316 * [misc]taylor: Taking taylor expansion of n in n 1547630242.316 * [misc]backup-simplify: Simplify 0 into 0 1547630242.316 * [misc]backup-simplify: Simplify 1 into 1 1547630242.316 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.316 * [misc]backup-simplify: Simplify PI into PI 1547630242.316 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630242.316 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630242.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630242.318 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630242.318 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.318 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630242.318 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630242.318 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630242.319 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.319 * [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)))) 1547630242.320 * [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))))) 1547630242.321 * [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))) 1547630242.321 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.321 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.321 * [misc]taylor: Taking taylor expansion of k in k 1547630242.321 * [misc]backup-simplify: Simplify 0 into 0 1547630242.321 * [misc]backup-simplify: Simplify 1 into 1 1547630242.321 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of n in k 1547630242.321 * [misc]backup-simplify: Simplify n into n 1547630242.321 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.321 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630242.321 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.321 * [misc]backup-simplify: Simplify 2 into 2 1547630242.322 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.322 * [misc]backup-simplify: Simplify PI into PI 1547630242.322 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.323 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.323 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630242.323 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.323 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.324 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.324 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547630242.325 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547630242.325 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630242.325 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.325 * [misc]taylor: Taking taylor expansion of k in k 1547630242.325 * [misc]backup-simplify: Simplify 0 into 0 1547630242.325 * [misc]backup-simplify: Simplify 1 into 1 1547630242.325 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.325 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.326 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630242.326 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1547630242.326 * [misc]backup-simplify: Simplify 0 into 0 1547630242.327 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630242.328 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630242.331 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547630242.332 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.332 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.332 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.333 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547630242.335 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.335 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1547630242.335 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.335 * [misc]backup-simplify: Simplify 0 into 0 1547630242.336 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547630242.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630242.340 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.340 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630242.341 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.341 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547630242.343 * [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))))))) 1547630242.345 * [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))))))) 1547630242.346 * [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))))))) 1547630242.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.349 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547630242.354 * [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 1547630242.355 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547630242.355 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.356 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.356 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630242.359 * [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 1547630242.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1547630242.360 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1547630242.361 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.361 * [misc]backup-simplify: Simplify 0 into 0 1547630242.361 * [misc]backup-simplify: Simplify 0 into 0 1547630242.361 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630242.362 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630242.363 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547630242.365 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.370 * [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 1547630242.370 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630242.370 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630242.375 * [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))))) 1547630242.379 * [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)))))))) 1547630242.382 * [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)))))))) 1547630242.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630242.387 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547630242.395 * [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 1547630242.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1547630242.397 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.398 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630242.399 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1547630242.403 * [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 1547630242.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.403 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1547630242.404 * [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 1547630242.404 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.404 * [misc]backup-simplify: Simplify 0 into 0 1547630242.405 * [misc]backup-simplify: Simplify 0 into 0 1547630242.405 * [misc]backup-simplify: Simplify 0 into 0 1547630242.405 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.406 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630242.409 * [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 1547630242.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.419 * [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 1547630242.419 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630242.420 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.421 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1547630242.425 * [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))))))) 1547630242.434 * [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)))))))))))))) 1547630242.441 * [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)))))))))))))) 1547630242.452 * [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)))))))))))))))))))))) 1547630242.453 * [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))))) 1547630242.453 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1547630242.453 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630242.453 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630242.453 * [misc]taylor: Taking taylor expansion of k in k 1547630242.453 * [misc]backup-simplify: Simplify 0 into 0 1547630242.453 * [misc]backup-simplify: Simplify 1 into 1 1547630242.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.454 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630242.454 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.454 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.454 * [misc]taylor: Taking taylor expansion of k in k 1547630242.454 * [misc]backup-simplify: Simplify 0 into 0 1547630242.454 * [misc]backup-simplify: Simplify 1 into 1 1547630242.454 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.454 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630242.455 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630242.455 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.455 * [misc]backup-simplify: Simplify 2 into 2 1547630242.455 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630242.455 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.455 * [misc]backup-simplify: Simplify PI into PI 1547630242.455 * [misc]taylor: Taking taylor expansion of n in k 1547630242.455 * [misc]backup-simplify: Simplify n into n 1547630242.455 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630242.455 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630242.455 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630242.455 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.455 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.456 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.456 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630242.456 * [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)))) 1547630242.456 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of k in n 1547630242.456 * [misc]backup-simplify: Simplify k into k 1547630242.456 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630242.456 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630242.456 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.456 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.456 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.456 * [misc]taylor: Taking taylor expansion of k in n 1547630242.456 * [misc]backup-simplify: Simplify k into k 1547630242.456 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.456 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630242.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.457 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.457 * [misc]backup-simplify: Simplify 2 into 2 1547630242.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.457 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.457 * [misc]backup-simplify: Simplify PI into PI 1547630242.457 * [misc]taylor: Taking taylor expansion of n in n 1547630242.457 * [misc]backup-simplify: Simplify 0 into 0 1547630242.457 * [misc]backup-simplify: Simplify 1 into 1 1547630242.457 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.457 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.458 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.458 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.458 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630242.458 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630242.459 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.459 * [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))) 1547630242.460 * [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)))) 1547630242.460 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of k in n 1547630242.460 * [misc]backup-simplify: Simplify k into k 1547630242.460 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630242.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630242.460 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.460 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.460 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of k in n 1547630242.460 * [misc]backup-simplify: Simplify k into k 1547630242.460 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.460 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630242.460 * [misc]taylor: Taking taylor expansion of 2 in n 1547630242.461 * [misc]backup-simplify: Simplify 2 into 2 1547630242.461 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.461 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.461 * [misc]backup-simplify: Simplify PI into PI 1547630242.461 * [misc]taylor: Taking taylor expansion of n in n 1547630242.461 * [misc]backup-simplify: Simplify 0 into 0 1547630242.461 * [misc]backup-simplify: Simplify 1 into 1 1547630242.461 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.461 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.462 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.462 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.462 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630242.462 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630242.463 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.463 * [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))) 1547630242.464 * [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)))) 1547630242.465 * [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)) 1547630242.465 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of k in k 1547630242.465 * [misc]backup-simplify: Simplify 0 into 0 1547630242.465 * [misc]backup-simplify: Simplify 1 into 1 1547630242.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.465 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630242.465 * [misc]taylor: Taking taylor expansion of 2 in k 1547630242.465 * [misc]backup-simplify: Simplify 2 into 2 1547630242.465 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.465 * [misc]backup-simplify: Simplify PI into PI 1547630242.465 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630242.466 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630242.466 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.466 * [misc]taylor: Taking taylor expansion of n in k 1547630242.466 * [misc]backup-simplify: Simplify n into n 1547630242.466 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.466 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.466 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630242.467 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630242.467 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630242.467 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547630242.468 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547630242.468 * [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)))) 1547630242.468 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630242.468 * [misc]taylor: Taking taylor expansion of k in k 1547630242.468 * [misc]backup-simplify: Simplify 0 into 0 1547630242.468 * [misc]backup-simplify: Simplify 1 into 1 1547630242.468 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.469 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630242.469 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1547630242.469 * [misc]backup-simplify: Simplify 0 into 0 1547630242.470 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.471 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630242.474 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630242.474 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630242.474 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.475 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.476 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547630242.477 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.478 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1547630242.478 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.478 * [misc]backup-simplify: Simplify 0 into 0 1547630242.478 * [misc]backup-simplify: Simplify 0 into 0 1547630242.479 * [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)))))) 1547630242.479 * [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)))))) 1547630242.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.487 * [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 1547630242.487 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.487 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630242.488 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.488 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.488 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.489 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547630242.492 * [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 1547630242.492 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1547630242.493 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1547630242.493 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.493 * [misc]backup-simplify: Simplify 0 into 0 1547630242.493 * [misc]backup-simplify: Simplify 0 into 0 1547630242.493 * [misc]backup-simplify: Simplify 0 into 0 1547630242.495 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630242.495 * [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)))))) 1547630242.496 * [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)))))) 1547630242.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.499 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630242.507 * [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 1547630242.507 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.507 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630242.508 * [misc]backup-simplify: Simplify (- 0) into 0 1547630242.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630242.509 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547630242.512 * [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 1547630242.513 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1547630242.513 * [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 1547630242.513 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.513 * [misc]backup-simplify: Simplify 0 into 0 1547630242.513 * [misc]backup-simplify: Simplify 0 into 0 1547630242.514 * [misc]backup-simplify: Simplify 0 into 0 1547630242.514 * [misc]backup-simplify: Simplify 0 into 0 1547630242.514 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630242.515 * [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)))))) 1547630242.515 * [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)))))) 1547630242.517 * [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)))))))) 1547630242.517 * [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))) 1547630242.517 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1547630242.517 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.517 * [misc]taylor: Taking taylor expansion of k in k 1547630242.517 * [misc]backup-simplify: Simplify 0 into 0 1547630242.517 * [misc]backup-simplify: Simplify 1 into 1 1547630242.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.518 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630242.518 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630242.518 * [misc]taylor: Taking taylor expansion of -2 in k 1547630242.518 * [misc]backup-simplify: Simplify -2 into -2 1547630242.518 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630242.518 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.518 * [misc]backup-simplify: Simplify PI into PI 1547630242.518 * [misc]taylor: Taking taylor expansion of n in k 1547630242.518 * [misc]backup-simplify: Simplify n into n 1547630242.518 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630242.518 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630242.518 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630242.518 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.518 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.518 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630242.518 * [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))) 1547630242.518 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630242.518 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630242.518 * [misc]taylor: Taking taylor expansion of -1 in k 1547630242.518 * [misc]backup-simplify: Simplify -1 into -1 1547630242.518 * [misc]taylor: Taking taylor expansion of k in k 1547630242.518 * [misc]backup-simplify: Simplify 0 into 0 1547630242.518 * [misc]backup-simplify: Simplify 1 into 1 1547630242.518 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630242.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.519 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630242.519 * [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)))) 1547630242.519 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of k in n 1547630242.519 * [misc]backup-simplify: Simplify k into k 1547630242.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.519 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.519 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.519 * [misc]backup-simplify: Simplify -2 into -2 1547630242.519 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.520 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.520 * [misc]backup-simplify: Simplify PI into PI 1547630242.520 * [misc]taylor: Taking taylor expansion of n in n 1547630242.520 * [misc]backup-simplify: Simplify 0 into 0 1547630242.520 * [misc]backup-simplify: Simplify 1 into 1 1547630242.520 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.520 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.520 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.520 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.520 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630242.521 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.521 * [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))) 1547630242.522 * [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)))) 1547630242.522 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of -1 in n 1547630242.522 * [misc]backup-simplify: Simplify -1 into -1 1547630242.522 * [misc]taylor: Taking taylor expansion of k in n 1547630242.522 * [misc]backup-simplify: Simplify k into k 1547630242.522 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630242.522 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630242.522 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630242.522 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630242.522 * [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))) 1547630242.522 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630242.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630242.523 * [misc]taylor: Taking taylor expansion of k in n 1547630242.523 * [misc]backup-simplify: Simplify k into k 1547630242.523 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630242.523 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630242.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.523 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630242.523 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630242.523 * [misc]taylor: Taking taylor expansion of -2 in n 1547630242.523 * [misc]backup-simplify: Simplify -2 into -2 1547630242.523 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630242.523 * [misc]taylor: Taking taylor expansion of PI in n 1547630242.523 * [misc]backup-simplify: Simplify PI into PI 1547630242.523 * [misc]taylor: Taking taylor expansion of n in n 1547630242.523 * [misc]backup-simplify: Simplify 0 into 0 1547630242.523 * [misc]backup-simplify: Simplify 1 into 1 1547630242.523 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630242.523 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.524 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.524 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630242.524 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630242.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.525 * [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))) 1547630242.525 * [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)))) 1547630242.525 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630242.525 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630242.525 * [misc]taylor: Taking taylor expansion of -1 in n 1547630242.525 * [misc]backup-simplify: Simplify -1 into -1 1547630242.525 * [misc]taylor: Taking taylor expansion of k in n 1547630242.525 * [misc]backup-simplify: Simplify k into k 1547630242.525 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630242.525 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630242.525 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630242.525 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630242.526 * [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))) 1547630242.526 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of k in k 1547630242.526 * [misc]backup-simplify: Simplify 0 into 0 1547630242.526 * [misc]backup-simplify: Simplify 1 into 1 1547630242.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630242.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630242.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630242.526 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547630242.526 * [misc]taylor: Taking taylor expansion of -2 in k 1547630242.526 * [misc]backup-simplify: Simplify -2 into -2 1547630242.526 * [misc]taylor: Taking taylor expansion of PI in k 1547630242.526 * [misc]backup-simplify: Simplify PI into PI 1547630242.526 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630242.527 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630242.527 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630242.527 * [misc]taylor: Taking taylor expansion of n in k 1547630242.527 * [misc]backup-simplify: Simplify n into n 1547630242.527 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630242.527 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630242.527 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630242.527 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630242.527 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547630242.528 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547630242.528 * [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)))) 1547630242.528 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630242.528 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630242.528 * [misc]taylor: Taking taylor expansion of -1 in k 1547630242.528 * [misc]backup-simplify: Simplify -1 into -1 1547630242.528 * [misc]taylor: Taking taylor expansion of k in k 1547630242.528 * [misc]backup-simplify: Simplify 0 into 0 1547630242.528 * [misc]backup-simplify: Simplify 1 into 1 1547630242.528 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630242.528 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630242.529 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630242.529 * [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))))) 1547630242.530 * [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))))) 1547630242.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630242.531 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630242.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547630242.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630242.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630242.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.534 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547630242.535 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630242.535 * [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 1547630242.535 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.535 * [misc]backup-simplify: Simplify 0 into 0 1547630242.535 * [misc]backup-simplify: Simplify 0 into 0 1547630242.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630242.536 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630242.537 * [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)))))) 1547630242.537 * [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)))))) 1547630242.538 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.539 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630242.543 * [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 1547630242.543 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.543 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630242.543 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630242.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630242.544 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547630242.545 * [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 1547630242.546 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630242.546 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1547630242.547 * [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 1547630242.547 * [misc]taylor: Taking taylor expansion of 0 in k 1547630242.547 * [misc]backup-simplify: Simplify 0 into 0 1547630242.547 * [misc]backup-simplify: Simplify 0 into 0 1547630242.547 * [misc]backup-simplify: Simplify 0 into 0 1547630242.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630242.548 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630242.549 * [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)))))) 1547630242.549 * [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)))))) 1547630242.551 * [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))))))))))) 1547630242.551 * * * [misc]progress: simplifying candidates 1547630242.551 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1547630242.551 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1547630242.551 * * [misc]simplify: iters left: 6 (11 enodes) 1547630242.553 * * [misc]simplify: iters left: 5 (21 enodes) 1547630242.556 * * [misc]simplify: iters left: 4 (47 enodes) 1547630242.564 * * [misc]simplify: iters left: 3 (109 enodes) 1547630242.588 * * [misc]simplify: iters left: 2 (300 enodes) 1547630242.779 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1547630242.779 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1547630242.779 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1547630242.779 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1547630242.779 * [enter]simplify: Simplifying (* PI (* n 2)) 1547630242.779 * * [misc]simplify: iters left: 4 (5 enodes) 1547630242.780 * * [misc]simplify: iters left: 3 (9 enodes) 1547630242.781 * * [misc]simplify: iters left: 2 (15 enodes) 1547630242.783 * * [misc]simplify: iters left: 1 (17 enodes) 1547630242.785 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547630242.785 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1547630242.785 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1547630242.786 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547630242.786 * * [misc]simplify: iters left: 5 (8 enodes) 1547630242.787 * * [misc]simplify: iters left: 4 (12 enodes) 1547630242.789 * * [misc]simplify: iters left: 3 (18 enodes) 1547630242.791 * * [misc]simplify: iters left: 2 (20 enodes) 1547630242.795 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547630242.796 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1547630242.796 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1547630242.796 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630242.796 * * [misc]simplify: iters left: 5 (6 enodes) 1547630242.798 * * [misc]simplify: iters left: 4 (8 enodes) 1547630242.800 * * [misc]simplify: iters left: 3 (11 enodes) 1547630242.803 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630242.803 * [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))) 1547630242.803 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1547630242.804 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630242.804 * * [misc]simplify: iters left: 5 (6 enodes) 1547630242.805 * * [misc]simplify: iters left: 4 (8 enodes) 1547630242.808 * * [misc]simplify: iters left: 3 (11 enodes) 1547630242.811 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630242.811 * [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))) 1547630242.811 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1547630242.811 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630242.811 * * [misc]simplify: iters left: 4 (5 enodes) 1547630242.813 * * [misc]simplify: iters left: 3 (7 enodes) 1547630242.815 * * [misc]simplify: iters left: 2 (10 enodes) 1547630242.817 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630242.817 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1547630242.817 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1547630242.818 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630242.818 * * [misc]simplify: iters left: 5 (9 enodes) 1547630242.821 * * [misc]simplify: iters left: 4 (15 enodes) 1547630242.825 * * [misc]simplify: iters left: 3 (21 enodes) 1547630242.830 * * [misc]simplify: iters left: 2 (22 enodes) 1547630242.835 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630242.836 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1547630242.836 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1547630242.836 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630242.836 * * [misc]simplify: iters left: 5 (9 enodes) 1547630242.839 * * [misc]simplify: iters left: 4 (15 enodes) 1547630242.843 * * [misc]simplify: iters left: 3 (21 enodes) 1547630242.846 * * [misc]simplify: iters left: 2 (22 enodes) 1547630242.848 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630242.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1547630242.849 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1547630242.849 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547630242.849 * * [misc]simplify: iters left: 5 (7 enodes) 1547630242.850 * * [misc]simplify: iters left: 4 (9 enodes) 1547630242.851 * * [misc]simplify: iters left: 3 (12 enodes) 1547630242.853 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630242.853 * [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))) 1547630242.853 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1547630242.853 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1547630242.853 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630242.853 * * [misc]simplify: iters left: 6 (14 enodes) 1547630242.856 * * [misc]simplify: iters left: 5 (26 enodes) 1547630242.860 * * [misc]simplify: iters left: 4 (53 enodes) 1547630242.869 * * [misc]simplify: iters left: 3 (137 enodes) 1547630242.909 * * [misc]simplify: iters left: 2 (487 enodes) 1547630243.440 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1547630243.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1547630243.440 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1547630243.440 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630243.440 * * [misc]simplify: iters left: 6 (14 enodes) 1547630243.442 * * [misc]simplify: iters left: 5 (26 enodes) 1547630243.449 * * [misc]simplify: iters left: 4 (53 enodes) 1547630243.467 * * [misc]simplify: iters left: 3 (137 enodes) 1547630243.546 * * [misc]simplify: iters left: 2 (487 enodes) 1547630244.022 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1547630244.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1547630244.022 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1547630244.022 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547630244.022 * * [misc]simplify: iters left: 6 (14 enodes) 1547630244.024 * * [misc]simplify: iters left: 5 (24 enodes) 1547630244.028 * * [misc]simplify: iters left: 4 (42 enodes) 1547630244.034 * * [misc]simplify: iters left: 3 (71 enodes) 1547630244.057 * * [misc]simplify: iters left: 2 (208 enodes) 1547630244.208 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630244.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630244.208 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1547630244.208 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1547630244.208 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1547630244.209 * [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))) 1547630244.209 * * [misc]simplify: iters left: 6 (16 enodes) 1547630244.218 * * [misc]simplify: iters left: 5 (31 enodes) 1547630244.228 * * [misc]simplify: iters left: 4 (67 enodes) 1547630244.246 * * [misc]simplify: iters left: 3 (124 enodes) 1547630244.267 * * [misc]simplify: iters left: 2 (195 enodes) 1547630244.337 * * [misc]simplify: iters left: 1 (309 enodes) 1547630244.511 * [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)))) 1547630244.511 * [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)))))) 1547630244.511 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1547630244.511 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1547630244.511 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1547630244.511 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1547630244.511 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1547630244.511 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.512 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.515 * * [misc]simplify: iters left: 5 (19 enodes) 1547630244.521 * * [misc]simplify: iters left: 4 (25 enodes) 1547630244.525 * * [misc]simplify: iters left: 3 (26 enodes) 1547630244.528 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.528 * [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))))) 1547630244.528 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1547630244.529 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.530 * * [misc]simplify: iters left: 5 (18 enodes) 1547630244.533 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.536 * * [misc]simplify: iters left: 3 (25 enodes) 1547630244.538 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1547630244.538 * [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))))) 1547630244.539 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1547630244.539 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1547630244.539 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.540 * * [misc]simplify: iters left: 5 (16 enodes) 1547630244.542 * * [misc]simplify: iters left: 4 (22 enodes) 1547630244.545 * * [misc]simplify: iters left: 3 (24 enodes) 1547630244.548 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1547630244.548 * [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))))) 1547630244.548 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1547630244.548 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.550 * * [misc]simplify: iters left: 5 (18 enodes) 1547630244.554 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.560 * * [misc]simplify: iters left: 3 (25 enodes) 1547630244.566 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1547630244.566 * [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))))) 1547630244.566 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1547630244.567 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1547630244.567 * * [misc]simplify: iters left: 6 (9 enodes) 1547630244.570 * * [misc]simplify: iters left: 5 (16 enodes) 1547630244.574 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.580 * * [misc]simplify: iters left: 3 (26 enodes) 1547630244.585 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1547630244.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1547630244.586 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1547630244.586 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.589 * * [misc]simplify: iters left: 5 (17 enodes) 1547630244.594 * * [misc]simplify: iters left: 4 (23 enodes) 1547630244.600 * * [misc]simplify: iters left: 3 (24 enodes) 1547630244.606 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1547630244.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1547630244.606 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1547630244.606 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.606 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.610 * * [misc]simplify: iters left: 5 (19 enodes) 1547630244.615 * * [misc]simplify: iters left: 4 (25 enodes) 1547630244.622 * * [misc]simplify: iters left: 3 (26 enodes) 1547630244.630 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.630 * [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))))) 1547630244.630 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1547630244.630 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.634 * * [misc]simplify: iters left: 5 (18 enodes) 1547630244.639 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.645 * * [misc]simplify: iters left: 3 (25 enodes) 1547630244.652 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1547630244.652 * [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))))) 1547630244.652 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1547630244.652 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1547630244.652 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.656 * * [misc]simplify: iters left: 5 (16 enodes) 1547630244.660 * * [misc]simplify: iters left: 4 (22 enodes) 1547630244.666 * * [misc]simplify: iters left: 3 (24 enodes) 1547630244.672 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1547630244.672 * [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))))) 1547630244.672 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1547630244.672 * * [misc]simplify: iters left: 6 (12 enodes) 1547630244.676 * * [misc]simplify: iters left: 5 (18 enodes) 1547630244.681 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.688 * * [misc]simplify: iters left: 3 (25 enodes) 1547630244.694 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1547630244.694 * [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))))) 1547630244.694 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1547630244.694 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1547630244.694 * * [misc]simplify: iters left: 6 (9 enodes) 1547630244.697 * * [misc]simplify: iters left: 5 (16 enodes) 1547630244.702 * * [misc]simplify: iters left: 4 (24 enodes) 1547630244.708 * * [misc]simplify: iters left: 3 (26 enodes) 1547630244.713 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1547630244.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1547630244.713 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1547630244.713 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.717 * * [misc]simplify: iters left: 5 (17 enodes) 1547630244.722 * * [misc]simplify: iters left: 4 (23 enodes) 1547630244.728 * * [misc]simplify: iters left: 3 (24 enodes) 1547630244.734 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1547630244.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1547630244.735 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1547630244.735 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.735 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.738 * * [misc]simplify: iters left: 5 (15 enodes) 1547630244.743 * * [misc]simplify: iters left: 4 (18 enodes) 1547630244.748 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.748 * [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))))) 1547630244.748 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630244.748 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.752 * * [misc]simplify: iters left: 5 (14 enodes) 1547630244.756 * * [misc]simplify: iters left: 4 (17 enodes) 1547630244.760 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630244.760 * [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))))) 1547630244.761 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1547630244.761 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630244.761 * * [misc]simplify: iters left: 6 (10 enodes) 1547630244.764 * * [misc]simplify: iters left: 5 (12 enodes) 1547630244.767 * * [misc]simplify: iters left: 4 (15 enodes) 1547630244.771 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630244.771 * [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))))) 1547630244.772 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630244.772 * * [misc]simplify: iters left: 6 (11 enodes) 1547630244.775 * * [misc]simplify: iters left: 5 (14 enodes) 1547630244.779 * * [misc]simplify: iters left: 4 (17 enodes) 1547630244.785 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630244.785 * [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))))) 1547630244.785 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1547630244.785 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1547630244.785 * * [misc]simplify: iters left: 6 (9 enodes) 1547630244.788 * * [misc]simplify: iters left: 5 (13 enodes) 1547630244.793 * * [misc]simplify: iters left: 4 (18 enodes) 1547630244.797 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630244.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547630244.797 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547630244.797 * * [misc]simplify: iters left: 6 (10 enodes) 1547630244.800 * * [misc]simplify: iters left: 5 (13 enodes) 1547630244.803 * * [misc]simplify: iters left: 4 (16 enodes) 1547630244.808 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547630244.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547630244.808 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1547630244.808 * [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)))) 1547630244.808 * * [misc]simplify: iters left: 6 (16 enodes) 1547630244.814 * * [misc]simplify: iters left: 5 (28 enodes) 1547630244.822 * * [misc]simplify: iters left: 4 (46 enodes) 1547630244.834 * * [misc]simplify: iters left: 3 (50 enodes) 1547630244.846 * * [misc]simplify: iters left: 2 (53 enodes) 1547630244.859 * [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)))) 1547630244.859 * [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))))) 1547630244.859 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547630244.859 * * [misc]simplify: iters left: 6 (14 enodes) 1547630244.863 * * [misc]simplify: iters left: 5 (20 enodes) 1547630244.869 * * [misc]simplify: iters left: 4 (29 enodes) 1547630244.876 * * [misc]simplify: iters left: 3 (30 enodes) 1547630244.884 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547630244.884 * [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))))) 1547630244.884 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1547630244.884 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630244.884 * * [misc]simplify: iters left: 6 (15 enodes) 1547630244.889 * * [misc]simplify: iters left: 5 (23 enodes) 1547630244.896 * * [misc]simplify: iters left: 4 (34 enodes) 1547630244.905 * * [misc]simplify: iters left: 3 (37 enodes) 1547630244.915 * [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)))))) 1547630244.915 * [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))))) 1547630244.915 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630244.915 * * [misc]simplify: iters left: 6 (14 enodes) 1547630244.919 * * [misc]simplify: iters left: 5 (20 enodes) 1547630244.925 * * [misc]simplify: iters left: 4 (29 enodes) 1547630244.934 * * [misc]simplify: iters left: 3 (30 enodes) 1547630244.940 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630244.940 * [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))))) 1547630244.940 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1547630244.941 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1547630244.941 * * [misc]simplify: iters left: 6 (14 enodes) 1547630244.943 * * [misc]simplify: iters left: 5 (24 enodes) 1547630244.946 * * [misc]simplify: iters left: 4 (39 enodes) 1547630244.951 * * [misc]simplify: iters left: 3 (54 enodes) 1547630244.958 * * [misc]simplify: iters left: 2 (80 enodes) 1547630244.968 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1547630244.968 * [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)))) 1547630244.968 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1547630244.968 * * [misc]simplify: iters left: 6 (13 enodes) 1547630244.970 * * [misc]simplify: iters left: 5 (19 enodes) 1547630244.973 * * [misc]simplify: iters left: 4 (28 enodes) 1547630244.981 * * [misc]simplify: iters left: 3 (30 enodes) 1547630244.988 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1547630244.988 * [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)))) 1547630244.988 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1547630244.988 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630244.989 * * [misc]simplify: iters left: 6 (15 enodes) 1547630244.993 * * [misc]simplify: iters left: 5 (23 enodes) 1547630245.000 * * [misc]simplify: iters left: 4 (32 enodes) 1547630245.009 * * [misc]simplify: iters left: 3 (34 enodes) 1547630245.018 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630245.018 * [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))))) 1547630245.018 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547630245.018 * * [misc]simplify: iters left: 6 (14 enodes) 1547630245.022 * * [misc]simplify: iters left: 5 (20 enodes) 1547630245.028 * * [misc]simplify: iters left: 4 (29 enodes) 1547630245.036 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.043 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547630245.043 * [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))))) 1547630245.043 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1547630245.043 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630245.044 * * [misc]simplify: iters left: 6 (14 enodes) 1547630245.049 * * [misc]simplify: iters left: 5 (20 enodes) 1547630245.055 * * [misc]simplify: iters left: 4 (29 enodes) 1547630245.062 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.070 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630245.070 * [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))))) 1547630245.070 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630245.070 * * [misc]simplify: iters left: 6 (14 enodes) 1547630245.074 * * [misc]simplify: iters left: 5 (20 enodes) 1547630245.080 * * [misc]simplify: iters left: 4 (29 enodes) 1547630245.088 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.095 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630245.095 * [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))))) 1547630245.095 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1547630245.095 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1547630245.095 * * [misc]simplify: iters left: 6 (13 enodes) 1547630245.099 * * [misc]simplify: iters left: 5 (21 enodes) 1547630245.106 * * [misc]simplify: iters left: 4 (32 enodes) 1547630245.114 * * [misc]simplify: iters left: 3 (33 enodes) 1547630245.121 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1547630245.121 * [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)))) 1547630245.121 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1547630245.121 * * [misc]simplify: iters left: 6 (13 enodes) 1547630245.125 * * [misc]simplify: iters left: 5 (19 enodes) 1547630245.131 * * [misc]simplify: iters left: 4 (28 enodes) 1547630245.138 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.146 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1547630245.146 * [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)))) 1547630245.146 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1547630245.146 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630245.146 * * [misc]simplify: iters left: 6 (6 enodes) 1547630245.148 * * [misc]simplify: iters left: 5 (10 enodes) 1547630245.149 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1547630245.149 * [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))))) 1547630245.149 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630245.149 * * [misc]simplify: iters left: 6 (13 enodes) 1547630245.151 * * [misc]simplify: iters left: 5 (19 enodes) 1547630245.154 * * [misc]simplify: iters left: 4 (28 enodes) 1547630245.157 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.161 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630245.161 * [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))))) 1547630245.161 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1547630245.161 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1547630245.161 * * [misc]simplify: iters left: 4 (5 enodes) 1547630245.162 * * [misc]simplify: iters left: 3 (7 enodes) 1547630245.163 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547630245.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1547630245.163 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630245.163 * * [misc]simplify: iters left: 6 (13 enodes) 1547630245.165 * * [misc]simplify: iters left: 5 (19 enodes) 1547630245.168 * * [misc]simplify: iters left: 4 (28 enodes) 1547630245.173 * * [misc]simplify: iters left: 3 (30 enodes) 1547630245.177 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630245.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1547630245.177 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1547630245.177 * [enter]simplify: Simplifying (/ 1 1) 1547630245.177 * * [misc]simplify: iters left: 2 (2 enodes) 1547630245.178 * * [misc]simplify: iters left: 1 (4 enodes) 1547630245.178 * [exit]simplify: Simplified to 1 1547630245.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1547630245.178 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1547630245.178 * * [misc]simplify: iters left: 6 (12 enodes) 1547630245.180 * * [misc]simplify: iters left: 5 (18 enodes) 1547630245.182 * * [misc]simplify: iters left: 4 (27 enodes) 1547630245.186 * * [misc]simplify: iters left: 3 (29 enodes) 1547630245.189 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1547630245.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1547630245.189 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1547630245.190 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1547630245.190 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1547630245.190 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1547630245.190 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1547630245.190 * * [misc]simplify: iters left: 2 (3 enodes) 1547630245.190 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1547630245.190 * [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)))) 1547630245.190 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1547630245.190 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547630245.191 * * [misc]simplify: iters left: 2 (3 enodes) 1547630245.191 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630245.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1547630245.191 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1547630245.191 * [enter]simplify: Simplifying (sqrt k) 1547630245.191 * * [misc]simplify: iters left: 1 (2 enodes) 1547630245.191 * [exit]simplify: Simplified to (sqrt k) 1547630245.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1547630245.192 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1547630245.192 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547630245.192 * * [misc]simplify: iters left: 5 (7 enodes) 1547630245.193 * * [misc]simplify: iters left: 4 (12 enodes) 1547630245.194 * * [misc]simplify: iters left: 3 (18 enodes) 1547630245.197 * * [misc]simplify: iters left: 2 (20 enodes) 1547630245.199 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547630245.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1547630245.199 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1547630245.199 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547630245.199 * * [misc]simplify: iters left: 5 (7 enodes) 1547630245.200 * * [misc]simplify: iters left: 4 (12 enodes) 1547630245.202 * * [misc]simplify: iters left: 3 (18 enodes) 1547630245.204 * * [misc]simplify: iters left: 2 (20 enodes) 1547630245.206 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547630245.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1547630245.207 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1547630245.207 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547630245.207 * * [misc]simplify: iters left: 5 (7 enodes) 1547630245.208 * * [misc]simplify: iters left: 4 (9 enodes) 1547630245.209 * * [misc]simplify: iters left: 3 (12 enodes) 1547630245.210 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630245.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630245.211 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1547630245.211 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630245.211 * * [misc]simplify: iters left: 6 (12 enodes) 1547630245.214 * * [misc]simplify: iters left: 5 (18 enodes) 1547630245.219 * * [misc]simplify: iters left: 4 (27 enodes) 1547630245.223 * * [misc]simplify: iters left: 3 (29 enodes) 1547630245.227 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1547630245.227 * [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))))))) 1547630245.227 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1547630245.227 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630245.227 * * [misc]simplify: iters left: 6 (11 enodes) 1547630245.229 * * [misc]simplify: iters left: 5 (17 enodes) 1547630245.231 * * [misc]simplify: iters left: 4 (26 enodes) 1547630245.234 * * [misc]simplify: iters left: 3 (27 enodes) 1547630245.237 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547630245.237 * [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))))))) 1547630245.237 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1547630245.237 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1547630245.237 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547630245.238 * * [misc]simplify: iters left: 5 (7 enodes) 1547630245.239 * * [misc]simplify: iters left: 4 (12 enodes) 1547630245.240 * * [misc]simplify: iters left: 3 (18 enodes) 1547630245.242 * * [misc]simplify: iters left: 2 (20 enodes) 1547630245.245 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547630245.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1547630245.245 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1547630245.245 * [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))))) 1547630245.245 * * [misc]simplify: iters left: 6 (37 enodes) 1547630245.254 * * [misc]simplify: iters left: 5 (105 enodes) 1547630245.290 * * [misc]simplify: iters left: 4 (339 enodes) 1547630245.525 * [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))))) 1547630245.525 * [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))) 1547630245.525 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1547630245.525 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1547630245.525 * * [misc]simplify: iters left: 6 (15 enodes) 1547630245.528 * * [misc]simplify: iters left: 5 (33 enodes) 1547630245.534 * * [misc]simplify: iters left: 4 (64 enodes) 1547630245.545 * * [misc]simplify: iters left: 3 (171 enodes) 1547630245.635 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1547630245.636 * [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))) 1547630245.636 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1547630245.636 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1547630245.636 * * [misc]simplify: iters left: 6 (15 enodes) 1547630245.639 * * [misc]simplify: iters left: 5 (30 enodes) 1547630245.649 * * [misc]simplify: iters left: 4 (65 enodes) 1547630245.675 * * [misc]simplify: iters left: 3 (200 enodes) 1547630245.804 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1547630245.804 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1547630245.804 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1547630245.804 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630245.804 * * [misc]simplify: iters left: 4 (5 enodes) 1547630245.806 * * [misc]simplify: iters left: 3 (9 enodes) 1547630245.809 * * [misc]simplify: iters left: 2 (15 enodes) 1547630245.813 * * [misc]simplify: iters left: 1 (17 enodes) 1547630245.817 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630245.817 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547630245.817 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1547630245.817 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630245.817 * * [misc]simplify: iters left: 4 (5 enodes) 1547630245.819 * * [misc]simplify: iters left: 3 (9 enodes) 1547630245.821 * * [misc]simplify: iters left: 2 (15 enodes) 1547630245.825 * * [misc]simplify: iters left: 1 (17 enodes) 1547630245.829 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630245.829 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547630245.829 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1547630245.829 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630245.830 * * [misc]simplify: iters left: 4 (5 enodes) 1547630245.831 * * [misc]simplify: iters left: 3 (9 enodes) 1547630245.834 * * [misc]simplify: iters left: 2 (15 enodes) 1547630245.838 * * [misc]simplify: iters left: 1 (17 enodes) 1547630245.842 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630245.842 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547630245.842 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1547630245.842 * [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)))))))))))))))))))))) 1547630245.842 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630245.842 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1547630245.843 * [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)))))))) 1547630245.843 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630245.843 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1547630245.843 * [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))))))))))) 1547630245.843 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630245.843 * * * [misc]progress: adding candidates to table 1547630246.579 * * [misc]progress: iteration 2 / 4 1547630246.579 * * * [misc]progress: picking best candidate 1547630246.606 * * * * [misc]pick: Picked # 1547630246.606 * * * [misc]progress: localizing error 1547630246.618 * * * [misc]progress: generating rewritten candidates 1547630246.618 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1547630246.622 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1547630246.623 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1547630246.634 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1547630246.641 * * * [misc]progress: generating series expansions 1547630246.641 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1547630246.641 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1547630246.641 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1547630246.641 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630246.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630246.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630246.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630246.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.642 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630246.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.642 * [misc]taylor: Taking taylor expansion of k in k 1547630246.642 * [misc]backup-simplify: Simplify 0 into 0 1547630246.642 * [misc]backup-simplify: Simplify 1 into 1 1547630246.642 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630246.642 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630246.642 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.642 * [misc]backup-simplify: Simplify 2 into 2 1547630246.642 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630246.642 * [misc]taylor: Taking taylor expansion of n in k 1547630246.642 * [misc]backup-simplify: Simplify n into n 1547630246.642 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.642 * [misc]backup-simplify: Simplify PI into PI 1547630246.642 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630246.642 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630246.642 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630246.642 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630246.643 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.643 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.643 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630246.643 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630246.643 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.643 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.643 * [misc]taylor: Taking taylor expansion of k in n 1547630246.643 * [misc]backup-simplify: Simplify k into k 1547630246.643 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630246.643 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.644 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.644 * [misc]backup-simplify: Simplify 2 into 2 1547630246.644 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.644 * [misc]taylor: Taking taylor expansion of n in n 1547630246.644 * [misc]backup-simplify: Simplify 0 into 0 1547630246.644 * [misc]backup-simplify: Simplify 1 into 1 1547630246.644 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.644 * [misc]backup-simplify: Simplify PI into PI 1547630246.644 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.644 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630246.645 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.646 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630246.646 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.646 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630246.646 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630246.647 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630246.647 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.648 * [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)))) 1547630246.648 * [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))))) 1547630246.649 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.649 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.649 * [misc]taylor: Taking taylor expansion of k in n 1547630246.649 * [misc]backup-simplify: Simplify k into k 1547630246.649 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.649 * [misc]backup-simplify: Simplify 2 into 2 1547630246.649 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.649 * [misc]taylor: Taking taylor expansion of n in n 1547630246.649 * [misc]backup-simplify: Simplify 0 into 0 1547630246.649 * [misc]backup-simplify: Simplify 1 into 1 1547630246.649 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.649 * [misc]backup-simplify: Simplify PI into PI 1547630246.649 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.650 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630246.650 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.651 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630246.651 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.651 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630246.652 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630246.652 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630246.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.653 * [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)))) 1547630246.653 * [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))))) 1547630246.654 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.654 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.654 * [misc]taylor: Taking taylor expansion of k in k 1547630246.654 * [misc]backup-simplify: Simplify 0 into 0 1547630246.654 * [misc]backup-simplify: Simplify 1 into 1 1547630246.654 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of n in k 1547630246.654 * [misc]backup-simplify: Simplify n into n 1547630246.654 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630246.654 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630246.654 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.654 * [misc]backup-simplify: Simplify 2 into 2 1547630246.654 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.654 * [misc]backup-simplify: Simplify PI into PI 1547630246.655 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.655 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.655 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630246.655 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.655 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.656 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.657 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547630246.657 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547630246.658 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547630246.659 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630246.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630246.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630246.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547630246.663 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.663 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.664 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.664 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547630246.665 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630246.665 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.665 * [misc]backup-simplify: Simplify 0 into 0 1547630246.665 * [misc]backup-simplify: Simplify 0 into 0 1547630246.666 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547630246.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630246.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630246.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.668 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630246.668 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.668 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547630246.670 * [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))))))) 1547630246.670 * [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))))))) 1547630246.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.672 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547630246.676 * [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 1547630246.676 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547630246.676 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.677 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.677 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630246.679 * [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 1547630246.679 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.679 * [misc]backup-simplify: Simplify 0 into 0 1547630246.679 * [misc]backup-simplify: Simplify 0 into 0 1547630246.679 * [misc]backup-simplify: Simplify 0 into 0 1547630246.680 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547630246.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.683 * [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 1547630246.683 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630246.684 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547630246.686 * [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))))) 1547630246.688 * [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))))) 1547630246.691 * [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))))) 1547630246.691 * [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)))) 1547630246.691 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547630246.691 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of k in k 1547630246.691 * [misc]backup-simplify: Simplify 0 into 0 1547630246.691 * [misc]backup-simplify: Simplify 1 into 1 1547630246.691 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.691 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.691 * [misc]backup-simplify: Simplify 2 into 2 1547630246.691 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630246.691 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.691 * [misc]backup-simplify: Simplify PI into PI 1547630246.691 * [misc]taylor: Taking taylor expansion of n in k 1547630246.691 * [misc]backup-simplify: Simplify n into n 1547630246.692 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630246.692 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630246.692 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630246.692 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.692 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.692 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.692 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630246.692 * [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)))) 1547630246.692 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.692 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.692 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of k in n 1547630246.692 * [misc]backup-simplify: Simplify k into k 1547630246.692 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.692 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.692 * [misc]backup-simplify: Simplify 2 into 2 1547630246.692 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.692 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.693 * [misc]backup-simplify: Simplify PI into PI 1547630246.693 * [misc]taylor: Taking taylor expansion of n in n 1547630246.693 * [misc]backup-simplify: Simplify 0 into 0 1547630246.693 * [misc]backup-simplify: Simplify 1 into 1 1547630246.693 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.693 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.693 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.693 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.693 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.693 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630246.694 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.694 * [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))) 1547630246.695 * [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)))) 1547630246.695 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.695 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of k in n 1547630246.695 * [misc]backup-simplify: Simplify k into k 1547630246.695 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.695 * [misc]backup-simplify: Simplify 2 into 2 1547630246.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.695 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.695 * [misc]backup-simplify: Simplify PI into PI 1547630246.695 * [misc]taylor: Taking taylor expansion of n in n 1547630246.695 * [misc]backup-simplify: Simplify 0 into 0 1547630246.695 * [misc]backup-simplify: Simplify 1 into 1 1547630246.695 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.695 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.696 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.696 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.696 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630246.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.697 * [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))) 1547630246.697 * [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)))) 1547630246.697 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547630246.697 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547630246.697 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630246.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.697 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.697 * [misc]taylor: Taking taylor expansion of k in k 1547630246.697 * [misc]backup-simplify: Simplify 0 into 0 1547630246.697 * [misc]backup-simplify: Simplify 1 into 1 1547630246.697 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.698 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547630246.698 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547630246.698 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547630246.698 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.698 * [misc]backup-simplify: Simplify 2 into 2 1547630246.698 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.698 * [misc]backup-simplify: Simplify PI into PI 1547630246.698 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.698 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.698 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630246.698 * [misc]taylor: Taking taylor expansion of n in k 1547630246.698 * [misc]backup-simplify: Simplify n into n 1547630246.698 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630246.698 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.698 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.698 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.699 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630246.699 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547630246.699 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547630246.700 * [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)))) 1547630246.701 * [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)))) 1547630246.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630246.702 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630246.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630246.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630246.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630246.706 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.707 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547630246.709 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630246.709 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.709 * [misc]backup-simplify: Simplify 0 into 0 1547630246.709 * [misc]backup-simplify: Simplify 0 into 0 1547630246.709 * [misc]backup-simplify: Simplify 0 into 0 1547630246.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.712 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.717 * [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 1547630246.717 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630246.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630246.718 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.719 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547630246.722 * [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 1547630246.722 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.722 * [misc]backup-simplify: Simplify 0 into 0 1547630246.722 * [misc]backup-simplify: Simplify 0 into 0 1547630246.722 * [misc]backup-simplify: Simplify 0 into 0 1547630246.722 * [misc]backup-simplify: Simplify 0 into 0 1547630246.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.726 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.734 * [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 1547630246.734 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630246.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630246.735 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.736 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.737 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547630246.740 * [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 1547630246.740 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.740 * [misc]backup-simplify: Simplify 0 into 0 1547630246.740 * [misc]backup-simplify: Simplify 0 into 0 1547630246.741 * [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))))) 1547630246.742 * [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)) 1547630246.742 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547630246.742 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of k in k 1547630246.742 * [misc]backup-simplify: Simplify 0 into 0 1547630246.742 * [misc]backup-simplify: Simplify 1 into 1 1547630246.742 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.742 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of -2 in k 1547630246.742 * [misc]backup-simplify: Simplify -2 into -2 1547630246.742 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630246.742 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.742 * [misc]backup-simplify: Simplify PI into PI 1547630246.742 * [misc]taylor: Taking taylor expansion of n in k 1547630246.742 * [misc]backup-simplify: Simplify n into n 1547630246.742 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630246.743 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630246.743 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630246.743 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.743 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.743 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630246.743 * [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))) 1547630246.743 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.743 * [misc]taylor: Taking taylor expansion of k in n 1547630246.743 * [misc]backup-simplify: Simplify k into k 1547630246.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.744 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630246.744 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630246.744 * [misc]taylor: Taking taylor expansion of -2 in n 1547630246.744 * [misc]backup-simplify: Simplify -2 into -2 1547630246.744 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.744 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.744 * [misc]backup-simplify: Simplify PI into PI 1547630246.744 * [misc]taylor: Taking taylor expansion of n in n 1547630246.744 * [misc]backup-simplify: Simplify 0 into 0 1547630246.744 * [misc]backup-simplify: Simplify 1 into 1 1547630246.744 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.744 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630246.744 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630246.744 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.745 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630246.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630246.746 * [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))) 1547630246.746 * [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)))) 1547630246.746 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of k in n 1547630246.746 * [misc]backup-simplify: Simplify k into k 1547630246.746 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.746 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of -2 in n 1547630246.746 * [misc]backup-simplify: Simplify -2 into -2 1547630246.746 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.746 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.746 * [misc]backup-simplify: Simplify PI into PI 1547630246.746 * [misc]taylor: Taking taylor expansion of n in n 1547630246.746 * [misc]backup-simplify: Simplify 0 into 0 1547630246.746 * [misc]backup-simplify: Simplify 1 into 1 1547630246.747 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.747 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630246.747 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630246.747 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.747 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630246.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630246.748 * [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))) 1547630246.748 * [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)))) 1547630246.748 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of k in k 1547630246.749 * [misc]backup-simplify: Simplify 0 into 0 1547630246.749 * [misc]backup-simplify: Simplify 1 into 1 1547630246.749 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.749 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of -2 in k 1547630246.749 * [misc]backup-simplify: Simplify -2 into -2 1547630246.749 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.749 * [misc]backup-simplify: Simplify PI into PI 1547630246.749 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630246.749 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630246.749 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630246.749 * [misc]taylor: Taking taylor expansion of n in k 1547630246.749 * [misc]backup-simplify: Simplify n into n 1547630246.749 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630246.750 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.750 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.750 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630246.750 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547630246.750 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547630246.751 * [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)))) 1547630246.751 * [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)))) 1547630246.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630246.752 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630246.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547630246.754 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630246.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630246.754 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630246.755 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547630246.756 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630246.756 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.756 * [misc]backup-simplify: Simplify 0 into 0 1547630246.756 * [misc]backup-simplify: Simplify 0 into 0 1547630246.756 * [misc]backup-simplify: Simplify 0 into 0 1547630246.757 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.758 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.761 * [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 1547630246.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630246.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630246.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630246.762 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547630246.765 * [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 1547630246.765 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.765 * [misc]backup-simplify: Simplify 0 into 0 1547630246.765 * [misc]backup-simplify: Simplify 0 into 0 1547630246.766 * [misc]backup-simplify: Simplify 0 into 0 1547630246.766 * [misc]backup-simplify: Simplify 0 into 0 1547630246.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.768 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.773 * [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 1547630246.773 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630246.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630246.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630246.776 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1547630246.780 * [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 1547630246.780 * [misc]taylor: Taking taylor expansion of 0 in k 1547630246.780 * [misc]backup-simplify: Simplify 0 into 0 1547630246.780 * [misc]backup-simplify: Simplify 0 into 0 1547630246.781 * [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))))) 1547630246.781 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1547630246.781 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1547630246.781 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1547630246.781 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.781 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.781 * [misc]backup-simplify: Simplify 2 into 2 1547630246.781 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.781 * [misc]taylor: Taking taylor expansion of n in n 1547630246.781 * [misc]backup-simplify: Simplify 0 into 0 1547630246.782 * [misc]backup-simplify: Simplify 1 into 1 1547630246.782 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.782 * [misc]backup-simplify: Simplify PI into PI 1547630246.782 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.782 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.782 * [misc]backup-simplify: Simplify 2 into 2 1547630246.782 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.782 * [misc]taylor: Taking taylor expansion of n in n 1547630246.782 * [misc]backup-simplify: Simplify 0 into 0 1547630246.782 * [misc]backup-simplify: Simplify 1 into 1 1547630246.782 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.782 * [misc]backup-simplify: Simplify PI into PI 1547630246.782 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.782 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630246.782 * [misc]backup-simplify: Simplify 0 into 0 1547630246.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.784 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630246.784 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.785 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630246.786 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630246.786 * [misc]backup-simplify: Simplify 0 into 0 1547630246.788 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.789 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547630246.789 * [misc]backup-simplify: Simplify 0 into 0 1547630246.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630246.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547630246.794 * [misc]backup-simplify: Simplify 0 into 0 1547630246.796 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630246.799 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1547630246.799 * [misc]backup-simplify: Simplify 0 into 0 1547630246.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630246.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1547630246.806 * [misc]backup-simplify: Simplify 0 into 0 1547630246.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1547630246.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1547630246.815 * [misc]backup-simplify: Simplify 0 into 0 1547630246.815 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1547630246.816 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1547630246.816 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1547630246.816 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.816 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.816 * [misc]backup-simplify: Simplify 2 into 2 1547630246.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.816 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.816 * [misc]backup-simplify: Simplify PI into PI 1547630246.816 * [misc]taylor: Taking taylor expansion of n in n 1547630246.816 * [misc]backup-simplify: Simplify 0 into 0 1547630246.816 * [misc]backup-simplify: Simplify 1 into 1 1547630246.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.816 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.816 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.816 * [misc]backup-simplify: Simplify 2 into 2 1547630246.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.816 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.816 * [misc]backup-simplify: Simplify PI into PI 1547630246.816 * [misc]taylor: Taking taylor expansion of n in n 1547630246.816 * [misc]backup-simplify: Simplify 0 into 0 1547630246.817 * [misc]backup-simplify: Simplify 1 into 1 1547630246.817 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.817 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.817 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630246.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630246.819 * [misc]backup-simplify: Simplify 0 into 0 1547630246.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.822 * [misc]backup-simplify: Simplify 0 into 0 1547630246.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.825 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.825 * [misc]backup-simplify: Simplify 0 into 0 1547630246.827 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.829 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630246.829 * [misc]backup-simplify: Simplify 0 into 0 1547630246.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630246.835 * [misc]backup-simplify: Simplify 0 into 0 1547630246.837 * [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 1547630246.841 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630246.841 * [misc]backup-simplify: Simplify 0 into 0 1547630246.841 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1547630246.841 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1547630246.841 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1547630246.841 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630246.841 * [misc]taylor: Taking taylor expansion of -2 in n 1547630246.841 * [misc]backup-simplify: Simplify -2 into -2 1547630246.841 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.841 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.841 * [misc]backup-simplify: Simplify PI into PI 1547630246.841 * [misc]taylor: Taking taylor expansion of n in n 1547630246.841 * [misc]backup-simplify: Simplify 0 into 0 1547630246.841 * [misc]backup-simplify: Simplify 1 into 1 1547630246.842 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.842 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630246.842 * [misc]taylor: Taking taylor expansion of -2 in n 1547630246.842 * [misc]backup-simplify: Simplify -2 into -2 1547630246.842 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.842 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.842 * [misc]backup-simplify: Simplify PI into PI 1547630246.842 * [misc]taylor: Taking taylor expansion of n in n 1547630246.842 * [misc]backup-simplify: Simplify 0 into 0 1547630246.842 * [misc]backup-simplify: Simplify 1 into 1 1547630246.842 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.843 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630246.843 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630246.844 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630246.845 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630246.845 * [misc]backup-simplify: Simplify 0 into 0 1547630246.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.847 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.847 * [misc]backup-simplify: Simplify 0 into 0 1547630246.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.850 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630246.850 * [misc]backup-simplify: Simplify 0 into 0 1547630246.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547630246.854 * [misc]backup-simplify: Simplify 0 into 0 1547630246.857 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.859 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547630246.859 * [misc]backup-simplify: Simplify 0 into 0 1547630246.862 * [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 1547630246.866 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547630246.866 * [misc]backup-simplify: Simplify 0 into 0 1547630246.866 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1547630246.866 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1547630246.866 * [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)) 1547630246.866 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1547630246.867 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.867 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.867 * [misc]taylor: Taking taylor expansion of k in n 1547630246.867 * [misc]backup-simplify: Simplify k into k 1547630246.867 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.867 * [misc]backup-simplify: Simplify 2 into 2 1547630246.867 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.867 * [misc]taylor: Taking taylor expansion of n in n 1547630246.867 * [misc]backup-simplify: Simplify 0 into 0 1547630246.867 * [misc]backup-simplify: Simplify 1 into 1 1547630246.867 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.867 * [misc]backup-simplify: Simplify PI into PI 1547630246.868 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.868 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630246.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.869 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630246.869 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.870 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630246.870 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630246.870 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630246.870 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.871 * [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)))) 1547630246.872 * [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))))) 1547630246.872 * [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)))))) 1547630246.872 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630246.872 * [misc]taylor: Taking taylor expansion of k in n 1547630246.872 * [misc]backup-simplify: Simplify k into k 1547630246.872 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630246.872 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630246.873 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.873 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.873 * [misc]taylor: Taking taylor expansion of k in k 1547630246.873 * [misc]backup-simplify: Simplify 0 into 0 1547630246.873 * [misc]backup-simplify: Simplify 1 into 1 1547630246.873 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.873 * [misc]backup-simplify: Simplify 2 into 2 1547630246.873 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630246.873 * [misc]taylor: Taking taylor expansion of n in k 1547630246.873 * [misc]backup-simplify: Simplify n into n 1547630246.873 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.873 * [misc]backup-simplify: Simplify PI into PI 1547630246.873 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630246.873 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630246.873 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630246.874 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630246.874 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.874 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630246.874 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630246.874 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1547630246.874 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630246.874 * [misc]taylor: Taking taylor expansion of k in k 1547630246.874 * [misc]backup-simplify: Simplify 0 into 0 1547630246.874 * [misc]backup-simplify: Simplify 1 into 1 1547630246.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.875 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630246.875 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630246.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.875 * [misc]taylor: Taking taylor expansion of k in k 1547630246.875 * [misc]backup-simplify: Simplify 0 into 0 1547630246.875 * [misc]backup-simplify: Simplify 1 into 1 1547630246.875 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630246.876 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630246.876 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.876 * [misc]backup-simplify: Simplify 2 into 2 1547630246.876 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630246.876 * [misc]taylor: Taking taylor expansion of n in k 1547630246.876 * [misc]backup-simplify: Simplify n into n 1547630246.876 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.876 * [misc]backup-simplify: Simplify PI into PI 1547630246.876 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630246.876 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630246.876 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630246.876 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630246.876 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.876 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630246.876 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630246.877 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630246.877 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1547630246.877 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630246.877 * [misc]taylor: Taking taylor expansion of k in k 1547630246.877 * [misc]backup-simplify: Simplify 0 into 0 1547630246.877 * [misc]backup-simplify: Simplify 1 into 1 1547630246.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.878 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630246.878 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1547630246.878 * [misc]taylor: Taking taylor expansion of 0 in n 1547630246.878 * [misc]backup-simplify: Simplify 0 into 0 1547630246.878 * [misc]backup-simplify: Simplify 0 into 0 1547630246.878 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1547630246.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1547630246.879 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1547630246.880 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630246.880 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.880 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1547630246.881 * [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))))) 1547630246.881 * [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))))) 1547630246.882 * [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)))) 1547630246.882 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.883 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.883 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.883 * [misc]taylor: Taking taylor expansion of n in n 1547630246.883 * [misc]backup-simplify: Simplify 0 into 0 1547630246.883 * [misc]backup-simplify: Simplify 1 into 1 1547630246.883 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.883 * [misc]backup-simplify: Simplify PI into PI 1547630246.883 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.884 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.884 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547630246.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.885 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547630246.885 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630246.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.886 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630246.886 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630246.887 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.887 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547630246.889 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.891 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.892 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.892 * [misc]backup-simplify: Simplify 0 into 0 1547630246.893 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630246.894 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1547630246.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1547630246.896 * [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 1547630246.896 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630246.896 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1547630246.898 * [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))) 1547630246.900 * [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)))))) 1547630246.904 * [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)))))) 1547630246.904 * [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 1547630246.904 * [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 1547630246.904 * [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 1547630246.904 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.904 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.904 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1547630246.904 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1547630246.904 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630246.904 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.904 * [misc]backup-simplify: Simplify 2 into 2 1547630246.904 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630246.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630246.905 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1547630246.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630246.905 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630246.905 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.905 * [misc]backup-simplify: Simplify 2 into 2 1547630246.905 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.905 * [misc]taylor: Taking taylor expansion of n in n 1547630246.905 * [misc]backup-simplify: Simplify 0 into 0 1547630246.905 * [misc]backup-simplify: Simplify 1 into 1 1547630246.905 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.905 * [misc]backup-simplify: Simplify PI into PI 1547630246.905 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.905 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630246.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.907 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630246.907 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.907 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1547630246.907 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630246.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.907 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630246.908 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630246.908 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547630246.908 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547630246.908 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.908 * [misc]taylor: Taking taylor expansion of n in n 1547630246.908 * [misc]backup-simplify: Simplify 0 into 0 1547630246.908 * [misc]backup-simplify: Simplify 1 into 1 1547630246.908 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.908 * [misc]backup-simplify: Simplify PI into PI 1547630246.908 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.909 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547630246.909 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.910 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547630246.910 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.910 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.910 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630246.910 * [misc]taylor: Taking taylor expansion of n in n 1547630246.910 * [misc]backup-simplify: Simplify 0 into 0 1547630246.910 * [misc]backup-simplify: Simplify 1 into 1 1547630246.910 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.910 * [misc]backup-simplify: Simplify PI into PI 1547630246.911 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630246.911 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630246.912 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547630246.912 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.912 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547630246.913 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630246.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.913 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630246.913 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630246.914 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.914 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1547630246.915 * [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)))) 1547630246.916 * [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))))) 1547630246.917 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630246.917 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1547630246.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630246.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630246.923 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630246.925 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1547630246.926 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1547630246.928 * [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))))) 1547630246.929 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1547630246.934 * [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))))) 1547630246.935 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.935 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547630246.938 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.939 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547630246.945 * [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))))))) 1547630246.951 * [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))))))) 1547630246.955 * [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))))))) 1547630246.956 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1547630246.957 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630246.958 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1547630246.959 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1547630246.960 * [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)))) 1547630246.963 * [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)))) 1547630246.964 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1547630246.965 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1547630246.971 * [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))))))))))) 1547630246.971 * [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))) 1547630246.971 * [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 1547630246.971 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1547630246.971 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630246.971 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.972 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of k in n 1547630246.972 * [misc]backup-simplify: Simplify k into k 1547630246.972 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.972 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.972 * [misc]backup-simplify: Simplify 2 into 2 1547630246.972 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.972 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.972 * [misc]backup-simplify: Simplify PI into PI 1547630246.972 * [misc]taylor: Taking taylor expansion of n in n 1547630246.972 * [misc]backup-simplify: Simplify 0 into 0 1547630246.972 * [misc]backup-simplify: Simplify 1 into 1 1547630246.972 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.972 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.973 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.973 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.973 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.973 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630246.973 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.974 * [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))) 1547630246.974 * [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)))) 1547630246.974 * [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))))) 1547630246.975 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630246.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.975 * [misc]taylor: Taking taylor expansion of k in n 1547630246.975 * [misc]backup-simplify: Simplify k into k 1547630246.975 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.975 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630246.975 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630246.975 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630246.975 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.975 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of k in k 1547630246.975 * [misc]backup-simplify: Simplify 0 into 0 1547630246.975 * [misc]backup-simplify: Simplify 1 into 1 1547630246.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.975 * [misc]backup-simplify: Simplify 2 into 2 1547630246.975 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630246.975 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.975 * [misc]backup-simplify: Simplify PI into PI 1547630246.975 * [misc]taylor: Taking taylor expansion of n in k 1547630246.975 * [misc]backup-simplify: Simplify n into n 1547630246.975 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630246.975 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630246.975 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630246.976 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.976 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.976 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.976 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630246.976 * [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)))) 1547630246.976 * [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))))) 1547630246.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630246.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.976 * [misc]taylor: Taking taylor expansion of k in k 1547630246.976 * [misc]backup-simplify: Simplify 0 into 0 1547630246.976 * [misc]backup-simplify: Simplify 1 into 1 1547630246.976 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.976 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.977 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630246.977 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630246.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of k in k 1547630246.977 * [misc]backup-simplify: Simplify 0 into 0 1547630246.977 * [misc]backup-simplify: Simplify 1 into 1 1547630246.977 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.977 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of 2 in k 1547630246.977 * [misc]backup-simplify: Simplify 2 into 2 1547630246.977 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630246.977 * [misc]taylor: Taking taylor expansion of PI in k 1547630246.977 * [misc]backup-simplify: Simplify PI into PI 1547630246.977 * [misc]taylor: Taking taylor expansion of n in k 1547630246.977 * [misc]backup-simplify: Simplify n into n 1547630246.977 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630246.977 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630246.977 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630246.977 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630246.978 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630246.978 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630246.978 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630246.978 * [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)))) 1547630246.978 * [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))))) 1547630246.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630246.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630246.978 * [misc]taylor: Taking taylor expansion of k in k 1547630246.978 * [misc]backup-simplify: Simplify 0 into 0 1547630246.978 * [misc]backup-simplify: Simplify 1 into 1 1547630246.978 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630246.978 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630246.979 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630246.979 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547630246.979 * [misc]taylor: Taking taylor expansion of 0 in n 1547630246.979 * [misc]backup-simplify: Simplify 0 into 0 1547630246.979 * [misc]backup-simplify: Simplify 0 into 0 1547630246.979 * [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 1547630246.979 * [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))))))) 1547630246.979 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.979 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.979 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of k in n 1547630246.980 * [misc]backup-simplify: Simplify k into k 1547630246.980 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.980 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.980 * [misc]backup-simplify: Simplify 2 into 2 1547630246.980 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.980 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.980 * [misc]backup-simplify: Simplify PI into PI 1547630246.980 * [misc]taylor: Taking taylor expansion of n in n 1547630246.980 * [misc]backup-simplify: Simplify 0 into 0 1547630246.980 * [misc]backup-simplify: Simplify 1 into 1 1547630246.980 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.980 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.980 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.981 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.981 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.981 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630246.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.981 * [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))) 1547630246.982 * [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)))) 1547630246.982 * [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))))) 1547630246.983 * [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))))) 1547630246.983 * [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))))))) 1547630246.984 * [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))))))) 1547630246.984 * [misc]backup-simplify: Simplify 0 into 0 1547630246.984 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630246.985 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630246.985 * [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 1547630246.985 * [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))))))) 1547630246.985 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.985 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.985 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.985 * [misc]taylor: Taking taylor expansion of k in n 1547630246.985 * [misc]backup-simplify: Simplify k into k 1547630246.985 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.985 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.986 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.986 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.986 * [misc]backup-simplify: Simplify 2 into 2 1547630246.986 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.986 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.986 * [misc]backup-simplify: Simplify PI into PI 1547630246.986 * [misc]taylor: Taking taylor expansion of n in n 1547630246.986 * [misc]backup-simplify: Simplify 0 into 0 1547630246.986 * [misc]backup-simplify: Simplify 1 into 1 1547630246.986 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.986 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.986 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.986 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.986 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.986 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630246.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.988 * [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))) 1547630246.988 * [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)))) 1547630246.988 * [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))))) 1547630246.989 * [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))))) 1547630246.989 * [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))))))) 1547630246.990 * [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))))))) 1547630246.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630246.991 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630246.992 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630246.993 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630246.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630246.993 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630246.993 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630246.994 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547630246.995 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630246.996 * [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 1547630246.996 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1547630246.996 * [misc]backup-simplify: Simplify (- 0) into 0 1547630246.996 * [misc]backup-simplify: Simplify 0 into 0 1547630246.996 * [misc]backup-simplify: Simplify 0 into 0 1547630246.997 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630246.997 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630246.998 * [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 1547630246.998 * [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))))))) 1547630246.998 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630246.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630246.998 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630246.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630246.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of k in n 1547630246.998 * [misc]backup-simplify: Simplify k into k 1547630246.998 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630246.998 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630246.998 * [misc]taylor: Taking taylor expansion of 2 in n 1547630246.998 * [misc]backup-simplify: Simplify 2 into 2 1547630246.999 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630246.999 * [misc]taylor: Taking taylor expansion of PI in n 1547630246.999 * [misc]backup-simplify: Simplify PI into PI 1547630246.999 * [misc]taylor: Taking taylor expansion of n in n 1547630246.999 * [misc]backup-simplify: Simplify 0 into 0 1547630246.999 * [misc]backup-simplify: Simplify 1 into 1 1547630246.999 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630246.999 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630246.999 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630246.999 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630246.999 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630246.999 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630247.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.000 * [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))) 1547630247.001 * [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)))) 1547630247.001 * [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))))) 1547630247.002 * [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))))) 1547630247.002 * [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))))))) 1547630247.002 * [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))))))) 1547630247.004 * [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)))))))))))) 1547630247.004 * [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))) 1547630247.004 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1547630247.004 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.004 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630247.004 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630247.004 * [misc]taylor: Taking taylor expansion of -1 in n 1547630247.004 * [misc]backup-simplify: Simplify -1 into -1 1547630247.004 * [misc]taylor: Taking taylor expansion of k in n 1547630247.004 * [misc]backup-simplify: Simplify k into k 1547630247.005 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630247.005 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630247.005 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630247.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630247.005 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of k in n 1547630247.005 * [misc]backup-simplify: Simplify k into k 1547630247.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.005 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.005 * [misc]backup-simplify: Simplify -2 into -2 1547630247.005 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.005 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.005 * [misc]backup-simplify: Simplify PI into PI 1547630247.005 * [misc]taylor: Taking taylor expansion of n in n 1547630247.005 * [misc]backup-simplify: Simplify 0 into 0 1547630247.005 * [misc]backup-simplify: Simplify 1 into 1 1547630247.005 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.006 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.006 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.007 * [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))) 1547630247.007 * [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)))) 1547630247.008 * [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))))) 1547630247.008 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of -1 in k 1547630247.008 * [misc]backup-simplify: Simplify -1 into -1 1547630247.008 * [misc]taylor: Taking taylor expansion of k in k 1547630247.008 * [misc]backup-simplify: Simplify 0 into 0 1547630247.008 * [misc]backup-simplify: Simplify 1 into 1 1547630247.008 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630247.008 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.008 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630247.008 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.008 * [misc]taylor: Taking taylor expansion of k in k 1547630247.008 * [misc]backup-simplify: Simplify 0 into 0 1547630247.008 * [misc]backup-simplify: Simplify 1 into 1 1547630247.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.009 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630247.009 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630247.009 * [misc]taylor: Taking taylor expansion of -2 in k 1547630247.009 * [misc]backup-simplify: Simplify -2 into -2 1547630247.009 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.009 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.009 * [misc]backup-simplify: Simplify PI into PI 1547630247.009 * [misc]taylor: Taking taylor expansion of n in k 1547630247.009 * [misc]backup-simplify: Simplify n into n 1547630247.009 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.009 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630247.009 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630247.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.009 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.009 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630247.009 * [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))) 1547630247.009 * [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)))) 1547630247.009 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547630247.009 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of -1 in k 1547630247.010 * [misc]backup-simplify: Simplify -1 into -1 1547630247.010 * [misc]taylor: Taking taylor expansion of k in k 1547630247.010 * [misc]backup-simplify: Simplify 0 into 0 1547630247.010 * [misc]backup-simplify: Simplify 1 into 1 1547630247.010 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630247.010 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.010 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630247.010 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of k in k 1547630247.010 * [misc]backup-simplify: Simplify 0 into 0 1547630247.010 * [misc]backup-simplify: Simplify 1 into 1 1547630247.010 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.010 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630247.010 * [misc]taylor: Taking taylor expansion of -2 in k 1547630247.010 * [misc]backup-simplify: Simplify -2 into -2 1547630247.011 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.011 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.011 * [misc]backup-simplify: Simplify PI into PI 1547630247.011 * [misc]taylor: Taking taylor expansion of n in k 1547630247.011 * [misc]backup-simplify: Simplify n into n 1547630247.011 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.011 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630247.011 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630247.011 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.011 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.011 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630247.011 * [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))) 1547630247.011 * [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)))) 1547630247.011 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.011 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.011 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.011 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.011 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.011 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.011 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.011 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.011 * [misc]backup-simplify: Simplify -2 into -2 1547630247.012 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.012 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.012 * [misc]backup-simplify: Simplify PI into PI 1547630247.012 * [misc]taylor: Taking taylor expansion of n in n 1547630247.012 * [misc]backup-simplify: Simplify 0 into 0 1547630247.012 * [misc]backup-simplify: Simplify 1 into 1 1547630247.012 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.012 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.012 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.012 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.012 * [misc]taylor: Taking taylor expansion of k in n 1547630247.012 * [misc]backup-simplify: Simplify k into k 1547630247.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.013 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.013 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.013 * [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))) 1547630247.014 * [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)))) 1547630247.014 * [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))))) 1547630247.015 * [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))))) 1547630247.015 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630247.016 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630247.016 * [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)))))) 1547630247.016 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.016 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.016 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.016 * [misc]backup-simplify: Simplify -2 into -2 1547630247.016 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.016 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.016 * [misc]backup-simplify: Simplify PI into PI 1547630247.016 * [misc]taylor: Taking taylor expansion of n in n 1547630247.016 * [misc]backup-simplify: Simplify 0 into 0 1547630247.016 * [misc]backup-simplify: Simplify 1 into 1 1547630247.017 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.017 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.017 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.017 * [misc]taylor: Taking taylor expansion of k in n 1547630247.017 * [misc]backup-simplify: Simplify k into k 1547630247.017 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.018 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.018 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.018 * [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))) 1547630247.019 * [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)))) 1547630247.019 * [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))))) 1547630247.019 * [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))))) 1547630247.020 * [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))))))) 1547630247.020 * [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))))))) 1547630247.021 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.021 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630247.021 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630247.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.022 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630247.022 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630247.024 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547630247.024 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1547630247.025 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630247.026 * [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 1547630247.027 * [misc]backup-simplify: Simplify 0 into 0 1547630247.027 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630247.028 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630247.028 * [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)))))) 1547630247.028 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.028 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.028 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.028 * [misc]backup-simplify: Simplify -2 into -2 1547630247.028 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.028 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.028 * [misc]backup-simplify: Simplify PI into PI 1547630247.028 * [misc]taylor: Taking taylor expansion of n in n 1547630247.028 * [misc]backup-simplify: Simplify 0 into 0 1547630247.028 * [misc]backup-simplify: Simplify 1 into 1 1547630247.029 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.029 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.029 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.029 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.029 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.029 * [misc]taylor: Taking taylor expansion of k in n 1547630247.029 * [misc]backup-simplify: Simplify k into k 1547630247.029 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.030 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.030 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.030 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.030 * [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))) 1547630247.031 * [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)))) 1547630247.031 * [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))))) 1547630247.031 * [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))))) 1547630247.032 * [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))))))) 1547630247.032 * [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))))))) 1547630247.034 * [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)))))))))))) 1547630247.034 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1547630247.034 * [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)))) 1547630247.034 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1547630247.034 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547630247.034 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630247.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.034 * [misc]taylor: Taking taylor expansion of k in n 1547630247.034 * [misc]backup-simplify: Simplify k into k 1547630247.034 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.034 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630247.034 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630247.035 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630247.035 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.035 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.035 * [misc]taylor: Taking taylor expansion of k in n 1547630247.035 * [misc]backup-simplify: Simplify k into k 1547630247.035 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.035 * [misc]backup-simplify: Simplify 2 into 2 1547630247.035 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.035 * [misc]taylor: Taking taylor expansion of n in n 1547630247.035 * [misc]backup-simplify: Simplify 0 into 0 1547630247.035 * [misc]backup-simplify: Simplify 1 into 1 1547630247.035 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.035 * [misc]backup-simplify: Simplify PI into PI 1547630247.035 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.035 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630247.036 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.036 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630247.036 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.037 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630247.037 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630247.037 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630247.038 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.038 * [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)))) 1547630247.038 * [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))))) 1547630247.038 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547630247.038 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630247.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of k in k 1547630247.039 * [misc]backup-simplify: Simplify 0 into 0 1547630247.039 * [misc]backup-simplify: Simplify 1 into 1 1547630247.039 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.039 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.039 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630247.039 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.039 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.039 * [misc]taylor: Taking taylor expansion of k in k 1547630247.039 * [misc]backup-simplify: Simplify 0 into 0 1547630247.039 * [misc]backup-simplify: Simplify 1 into 1 1547630247.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of 2 in k 1547630247.039 * [misc]backup-simplify: Simplify 2 into 2 1547630247.039 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630247.039 * [misc]taylor: Taking taylor expansion of n in k 1547630247.039 * [misc]backup-simplify: Simplify n into n 1547630247.039 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.039 * [misc]backup-simplify: Simplify PI into PI 1547630247.039 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630247.039 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630247.040 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630247.040 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630247.040 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.040 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.040 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630247.040 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630247.040 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547630247.040 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630247.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.040 * [misc]taylor: Taking taylor expansion of k in k 1547630247.040 * [misc]backup-simplify: Simplify 0 into 0 1547630247.040 * [misc]backup-simplify: Simplify 1 into 1 1547630247.040 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.040 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.041 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630247.041 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.041 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.041 * [misc]taylor: Taking taylor expansion of k in k 1547630247.041 * [misc]backup-simplify: Simplify 0 into 0 1547630247.041 * [misc]backup-simplify: Simplify 1 into 1 1547630247.041 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of 2 in k 1547630247.041 * [misc]backup-simplify: Simplify 2 into 2 1547630247.041 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547630247.041 * [misc]taylor: Taking taylor expansion of n in k 1547630247.041 * [misc]backup-simplify: Simplify n into n 1547630247.041 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.041 * [misc]backup-simplify: Simplify PI into PI 1547630247.041 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547630247.041 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547630247.041 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547630247.041 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630247.041 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.041 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.041 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547630247.042 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547630247.042 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1547630247.042 * [misc]taylor: Taking taylor expansion of 0 in n 1547630247.042 * [misc]backup-simplify: Simplify 0 into 0 1547630247.042 * [misc]backup-simplify: Simplify 0 into 0 1547630247.042 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1547630247.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1547630247.043 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1547630247.043 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630247.043 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630247.043 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630247.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1547630247.044 * [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))))) 1547630247.044 * [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))))) 1547630247.044 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.044 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.044 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.044 * [misc]backup-simplify: Simplify 2 into 2 1547630247.044 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.044 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.044 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.044 * [misc]taylor: Taking taylor expansion of n in n 1547630247.044 * [misc]backup-simplify: Simplify 0 into 0 1547630247.044 * [misc]backup-simplify: Simplify 1 into 1 1547630247.044 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.044 * [misc]backup-simplify: Simplify PI into PI 1547630247.045 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.045 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.045 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.046 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.046 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630247.046 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.046 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.046 * [misc]backup-simplify: Simplify 0 into 0 1547630247.046 * [misc]backup-simplify: Simplify 0 into 0 1547630247.046 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1547630247.047 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1547630247.048 * [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 1547630247.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630247.048 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1547630247.049 * [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))) 1547630247.049 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630247.050 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630247.050 * [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))))))) 1547630247.050 * [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 1547630247.050 * [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 1547630247.050 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1547630247.050 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.050 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.050 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1547630247.050 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1547630247.050 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.050 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.050 * [misc]backup-simplify: Simplify 2 into 2 1547630247.050 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.051 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630247.051 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630247.051 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.051 * [misc]backup-simplify: Simplify 2 into 2 1547630247.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.051 * [misc]taylor: Taking taylor expansion of n in n 1547630247.051 * [misc]backup-simplify: Simplify 0 into 0 1547630247.051 * [misc]backup-simplify: Simplify 1 into 1 1547630247.051 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.051 * [misc]backup-simplify: Simplify PI into PI 1547630247.051 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.051 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630247.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.052 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630247.052 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.052 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.052 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.052 * [misc]taylor: Taking taylor expansion of n in n 1547630247.052 * [misc]backup-simplify: Simplify 0 into 0 1547630247.052 * [misc]backup-simplify: Simplify 1 into 1 1547630247.052 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.052 * [misc]backup-simplify: Simplify PI into PI 1547630247.053 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.053 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.053 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.053 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547630247.053 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630247.053 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.053 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.053 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630247.053 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.053 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.053 * [misc]backup-simplify: Simplify 2 into 2 1547630247.054 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.054 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.054 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.054 * [misc]taylor: Taking taylor expansion of n in n 1547630247.054 * [misc]backup-simplify: Simplify 0 into 0 1547630247.054 * [misc]backup-simplify: Simplify 1 into 1 1547630247.054 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.054 * [misc]backup-simplify: Simplify PI into PI 1547630247.054 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.054 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.054 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.055 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.056 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1547630247.056 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1547630247.056 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.056 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630247.056 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.056 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.057 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.057 * [misc]backup-simplify: Simplify 0 into 0 1547630247.057 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.059 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.059 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.060 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.060 * [misc]backup-simplify: Simplify 0 into 0 1547630247.061 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547630247.061 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1547630247.063 * [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 1547630247.063 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630247.063 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.063 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1547630247.065 * [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))) 1547630247.065 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630247.066 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630247.066 * [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))))))))) 1547630247.066 * [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 1547630247.066 * [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 1547630247.066 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1547630247.066 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.066 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.067 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.067 * [misc]backup-simplify: Simplify 2 into 2 1547630247.067 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.067 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.067 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.067 * [misc]backup-simplify: Simplify 2 into 2 1547630247.067 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.067 * [misc]taylor: Taking taylor expansion of n in n 1547630247.067 * [misc]backup-simplify: Simplify 0 into 0 1547630247.067 * [misc]backup-simplify: Simplify 1 into 1 1547630247.067 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.067 * [misc]backup-simplify: Simplify PI into PI 1547630247.067 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.067 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630247.068 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.068 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630247.068 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.068 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.068 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.068 * [misc]taylor: Taking taylor expansion of n in n 1547630247.068 * [misc]backup-simplify: Simplify 0 into 0 1547630247.068 * [misc]backup-simplify: Simplify 1 into 1 1547630247.069 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.069 * [misc]backup-simplify: Simplify PI into PI 1547630247.069 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.069 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.069 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.069 * [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 1547630247.070 * [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 1547630247.070 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.070 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.070 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.070 * [misc]backup-simplify: Simplify 2 into 2 1547630247.070 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.070 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.070 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.070 * [misc]backup-simplify: Simplify 2 into 2 1547630247.070 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.070 * [misc]taylor: Taking taylor expansion of n in n 1547630247.070 * [misc]backup-simplify: Simplify 0 into 0 1547630247.070 * [misc]backup-simplify: Simplify 1 into 1 1547630247.070 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.070 * [misc]backup-simplify: Simplify PI into PI 1547630247.070 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.070 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630247.071 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.071 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547630247.071 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.072 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.072 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.072 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.072 * [misc]taylor: Taking taylor expansion of n in n 1547630247.072 * [misc]backup-simplify: Simplify 0 into 0 1547630247.072 * [misc]backup-simplify: Simplify 1 into 1 1547630247.072 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.072 * [misc]backup-simplify: Simplify PI into PI 1547630247.072 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.073 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.073 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.073 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.073 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.073 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.073 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.073 * [misc]backup-simplify: Simplify 2 into 2 1547630247.073 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630247.073 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630247.073 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630247.073 * [misc]taylor: Taking taylor expansion of n in n 1547630247.073 * [misc]backup-simplify: Simplify 0 into 0 1547630247.073 * [misc]backup-simplify: Simplify 1 into 1 1547630247.073 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.073 * [misc]backup-simplify: Simplify PI into PI 1547630247.074 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630247.074 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630247.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.074 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630247.075 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.075 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1547630247.076 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1547630247.076 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.076 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.077 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.077 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1547630247.078 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1547630247.078 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1547630247.078 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.078 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.079 * [misc]backup-simplify: Simplify 0 into 0 1547630247.080 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630247.080 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547630247.082 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630247.082 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547630247.083 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547630247.084 * [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)))))))) 1547630247.085 * [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)))))))) 1547630247.086 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.087 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.088 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630247.092 * [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)))))))))) 1547630247.095 * [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))))))) 1547630247.099 * [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))))))) 1547630247.100 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630247.102 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547630247.103 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547630247.106 * [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)))) 1547630247.110 * [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)))) 1547630247.112 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630247.113 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630247.120 * [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))))))))))))) 1547630247.120 * [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))))) 1547630247.120 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1547630247.120 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630247.120 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630247.120 * [misc]taylor: Taking taylor expansion of k in n 1547630247.121 * [misc]backup-simplify: Simplify k into k 1547630247.121 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630247.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630247.121 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of k in n 1547630247.121 * [misc]backup-simplify: Simplify k into k 1547630247.121 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.121 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.121 * [misc]backup-simplify: Simplify 2 into 2 1547630247.121 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.121 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.121 * [misc]backup-simplify: Simplify PI into PI 1547630247.121 * [misc]taylor: Taking taylor expansion of n in n 1547630247.121 * [misc]backup-simplify: Simplify 0 into 0 1547630247.121 * [misc]backup-simplify: Simplify 1 into 1 1547630247.122 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.122 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630247.123 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.123 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.123 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630247.123 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630247.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.124 * [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))) 1547630247.124 * [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)))) 1547630247.124 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630247.124 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630247.124 * [misc]taylor: Taking taylor expansion of k in k 1547630247.125 * [misc]backup-simplify: Simplify 0 into 0 1547630247.125 * [misc]backup-simplify: Simplify 1 into 1 1547630247.125 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630247.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of k in k 1547630247.125 * [misc]backup-simplify: Simplify 0 into 0 1547630247.125 * [misc]backup-simplify: Simplify 1 into 1 1547630247.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.125 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of 2 in k 1547630247.125 * [misc]backup-simplify: Simplify 2 into 2 1547630247.125 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.125 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.125 * [misc]backup-simplify: Simplify PI into PI 1547630247.125 * [misc]taylor: Taking taylor expansion of n in k 1547630247.125 * [misc]backup-simplify: Simplify n into n 1547630247.125 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.125 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630247.126 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630247.126 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.126 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630247.126 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630247.126 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630247.126 * [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)))) 1547630247.126 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630247.126 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630247.126 * [misc]taylor: Taking taylor expansion of k in k 1547630247.126 * [misc]backup-simplify: Simplify 0 into 0 1547630247.126 * [misc]backup-simplify: Simplify 1 into 1 1547630247.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.127 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630247.127 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of k in k 1547630247.127 * [misc]backup-simplify: Simplify 0 into 0 1547630247.127 * [misc]backup-simplify: Simplify 1 into 1 1547630247.127 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.127 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of 2 in k 1547630247.127 * [misc]backup-simplify: Simplify 2 into 2 1547630247.127 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.127 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.127 * [misc]backup-simplify: Simplify PI into PI 1547630247.127 * [misc]taylor: Taking taylor expansion of n in k 1547630247.127 * [misc]backup-simplify: Simplify n into n 1547630247.127 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.127 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547630247.127 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547630247.127 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.127 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630247.128 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630247.128 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547630247.128 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1547630247.128 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1547630247.128 * [misc]taylor: Taking taylor expansion of 0 in n 1547630247.128 * [misc]backup-simplify: Simplify 0 into 0 1547630247.128 * [misc]backup-simplify: Simplify 0 into 0 1547630247.128 * [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)))))) 1547630247.128 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.128 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.128 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.128 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.128 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.128 * [misc]taylor: Taking taylor expansion of k in n 1547630247.128 * [misc]backup-simplify: Simplify k into k 1547630247.128 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.128 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630247.129 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630247.129 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.129 * [misc]backup-simplify: Simplify 2 into 2 1547630247.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.129 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.129 * [misc]backup-simplify: Simplify PI into PI 1547630247.129 * [misc]taylor: Taking taylor expansion of n in n 1547630247.129 * [misc]backup-simplify: Simplify 0 into 0 1547630247.129 * [misc]backup-simplify: Simplify 1 into 1 1547630247.129 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.129 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630247.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630247.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630247.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.130 * [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))) 1547630247.131 * [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)))) 1547630247.131 * [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))))) 1547630247.132 * [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)))))) 1547630247.132 * [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)))))) 1547630247.132 * [misc]backup-simplify: Simplify 0 into 0 1547630247.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630247.133 * [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)))))) 1547630247.133 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.133 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.133 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.133 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.133 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of k in n 1547630247.133 * [misc]backup-simplify: Simplify k into k 1547630247.133 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.133 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.133 * [misc]backup-simplify: Simplify 2 into 2 1547630247.133 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.133 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.133 * [misc]backup-simplify: Simplify PI into PI 1547630247.133 * [misc]taylor: Taking taylor expansion of n in n 1547630247.133 * [misc]backup-simplify: Simplify 0 into 0 1547630247.133 * [misc]backup-simplify: Simplify 1 into 1 1547630247.134 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.134 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630247.134 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.134 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.134 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630247.134 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630247.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.135 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1547630247.135 * [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)))) 1547630247.136 * [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))))) 1547630247.136 * [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)))))) 1547630247.137 * [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)))))) 1547630247.138 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630247.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547630247.140 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547630247.140 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630247.140 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630247.140 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.140 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.141 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.141 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547630247.142 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630247.142 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1547630247.143 * [misc]backup-simplify: Simplify (- 0) into 0 1547630247.143 * [misc]backup-simplify: Simplify 0 into 0 1547630247.143 * [misc]backup-simplify: Simplify 0 into 0 1547630247.143 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630247.144 * [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)))))) 1547630247.144 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.144 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of k in n 1547630247.144 * [misc]backup-simplify: Simplify k into k 1547630247.144 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.144 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of 2 in n 1547630247.144 * [misc]backup-simplify: Simplify 2 into 2 1547630247.144 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.144 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.144 * [misc]backup-simplify: Simplify PI into PI 1547630247.144 * [misc]taylor: Taking taylor expansion of n in n 1547630247.144 * [misc]backup-simplify: Simplify 0 into 0 1547630247.144 * [misc]backup-simplify: Simplify 1 into 1 1547630247.144 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.145 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547630247.145 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547630247.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.145 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630247.145 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630247.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547630247.146 * [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))) 1547630247.146 * [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)))) 1547630247.147 * [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))))) 1547630247.147 * [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)))))) 1547630247.148 * [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)))))) 1547630247.149 * [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)))))))) 1547630247.150 * [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))) 1547630247.150 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1547630247.150 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of k in n 1547630247.150 * [misc]backup-simplify: Simplify k into k 1547630247.150 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.150 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.150 * [misc]backup-simplify: Simplify -2 into -2 1547630247.150 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.150 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.150 * [misc]backup-simplify: Simplify PI into PI 1547630247.150 * [misc]taylor: Taking taylor expansion of n in n 1547630247.150 * [misc]backup-simplify: Simplify 0 into 0 1547630247.150 * [misc]backup-simplify: Simplify 1 into 1 1547630247.150 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.150 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.151 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.151 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.151 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.151 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.152 * [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))) 1547630247.152 * [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)))) 1547630247.152 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630247.152 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630247.152 * [misc]taylor: Taking taylor expansion of -1 in n 1547630247.152 * [misc]backup-simplify: Simplify -1 into -1 1547630247.152 * [misc]taylor: Taking taylor expansion of k in n 1547630247.152 * [misc]backup-simplify: Simplify k into k 1547630247.152 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630247.152 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630247.152 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630247.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630247.153 * [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))) 1547630247.153 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of k in k 1547630247.153 * [misc]backup-simplify: Simplify 0 into 0 1547630247.153 * [misc]backup-simplify: Simplify 1 into 1 1547630247.153 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.153 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of -2 in k 1547630247.153 * [misc]backup-simplify: Simplify -2 into -2 1547630247.153 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.153 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.153 * [misc]backup-simplify: Simplify PI into PI 1547630247.153 * [misc]taylor: Taking taylor expansion of n in k 1547630247.153 * [misc]backup-simplify: Simplify n into n 1547630247.153 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.153 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630247.153 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630247.154 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.154 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.154 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630247.154 * [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))) 1547630247.154 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630247.154 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630247.154 * [misc]taylor: Taking taylor expansion of -1 in k 1547630247.154 * [misc]backup-simplify: Simplify -1 into -1 1547630247.154 * [misc]taylor: Taking taylor expansion of k in k 1547630247.154 * [misc]backup-simplify: Simplify 0 into 0 1547630247.154 * [misc]backup-simplify: Simplify 1 into 1 1547630247.154 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630247.154 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.155 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630247.155 * [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)))) 1547630247.155 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630247.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.156 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630247.156 * [misc]taylor: Taking taylor expansion of k in k 1547630247.156 * [misc]backup-simplify: Simplify 0 into 0 1547630247.156 * [misc]backup-simplify: Simplify 1 into 1 1547630247.156 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630247.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630247.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.156 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547630247.156 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547630247.156 * [misc]taylor: Taking taylor expansion of -2 in k 1547630247.156 * [misc]backup-simplify: Simplify -2 into -2 1547630247.156 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547630247.156 * [misc]taylor: Taking taylor expansion of PI in k 1547630247.156 * [misc]backup-simplify: Simplify PI into PI 1547630247.156 * [misc]taylor: Taking taylor expansion of n in k 1547630247.156 * [misc]backup-simplify: Simplify n into n 1547630247.156 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547630247.156 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547630247.156 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547630247.156 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630247.156 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630247.156 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547630247.157 * [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))) 1547630247.157 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630247.157 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630247.157 * [misc]taylor: Taking taylor expansion of -1 in k 1547630247.157 * [misc]backup-simplify: Simplify -1 into -1 1547630247.157 * [misc]taylor: Taking taylor expansion of k in k 1547630247.157 * [misc]backup-simplify: Simplify 0 into 0 1547630247.157 * [misc]backup-simplify: Simplify 1 into 1 1547630247.157 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630247.157 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630247.157 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630247.157 * [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)))) 1547630247.158 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.158 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.158 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.158 * [misc]backup-simplify: Simplify -2 into -2 1547630247.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.158 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.158 * [misc]backup-simplify: Simplify PI into PI 1547630247.158 * [misc]taylor: Taking taylor expansion of n in n 1547630247.158 * [misc]backup-simplify: Simplify 0 into 0 1547630247.158 * [misc]backup-simplify: Simplify 1 into 1 1547630247.158 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.158 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.159 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.159 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.159 * [misc]taylor: Taking taylor expansion of k in n 1547630247.159 * [misc]backup-simplify: Simplify k into k 1547630247.159 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.159 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.159 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.160 * [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))) 1547630247.160 * [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)))) 1547630247.161 * [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))))) 1547630247.161 * [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))))) 1547630247.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630247.162 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630247.162 * [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))))) 1547630247.162 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.162 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.162 * [misc]backup-simplify: Simplify -2 into -2 1547630247.162 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.162 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.163 * [misc]backup-simplify: Simplify PI into PI 1547630247.163 * [misc]taylor: Taking taylor expansion of n in n 1547630247.163 * [misc]backup-simplify: Simplify 0 into 0 1547630247.163 * [misc]backup-simplify: Simplify 1 into 1 1547630247.163 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.163 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.163 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.163 * [misc]taylor: Taking taylor expansion of k in n 1547630247.163 * [misc]backup-simplify: Simplify k into k 1547630247.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.164 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.164 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.164 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.164 * [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))) 1547630247.165 * [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)))) 1547630247.165 * [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))))) 1547630247.166 * [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)))))) 1547630247.166 * [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)))))) 1547630247.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.167 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630247.167 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630247.167 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630247.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547630247.168 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547630247.170 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547630247.170 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1547630247.171 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630247.172 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1547630247.172 * [misc]backup-simplify: Simplify 0 into 0 1547630247.172 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630247.173 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630247.173 * [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))))) 1547630247.173 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630247.173 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630247.173 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of -2 in n 1547630247.173 * [misc]backup-simplify: Simplify -2 into -2 1547630247.173 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547630247.173 * [misc]taylor: Taking taylor expansion of PI in n 1547630247.173 * [misc]backup-simplify: Simplify PI into PI 1547630247.174 * [misc]taylor: Taking taylor expansion of n in n 1547630247.174 * [misc]backup-simplify: Simplify 0 into 0 1547630247.174 * [misc]backup-simplify: Simplify 1 into 1 1547630247.174 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547630247.174 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547630247.174 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547630247.174 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630247.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630247.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630247.174 * [misc]taylor: Taking taylor expansion of k in n 1547630247.174 * [misc]backup-simplify: Simplify k into k 1547630247.174 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630247.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630247.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630247.175 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547630247.175 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630247.175 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630247.175 * [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))) 1547630247.176 * [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)))) 1547630247.176 * [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))))) 1547630247.177 * [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)))))) 1547630247.177 * [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)))))) 1547630247.178 * [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))))))))))) 1547630247.179 * * * [misc]progress: simplifying candidates 1547630247.179 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1547630247.179 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1547630247.179 * * [misc]simplify: iters left: 6 (11 enodes) 1547630247.181 * * [misc]simplify: iters left: 5 (21 enodes) 1547630247.184 * * [misc]simplify: iters left: 4 (47 enodes) 1547630247.192 * * [misc]simplify: iters left: 3 (109 enodes) 1547630247.229 * * [misc]simplify: iters left: 2 (300 enodes) 1547630247.450 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1547630247.450 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1547630247.450 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1547630247.450 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1547630247.450 * [enter]simplify: Simplifying (* PI (* n 2)) 1547630247.451 * * [misc]simplify: iters left: 4 (5 enodes) 1547630247.451 * * [misc]simplify: iters left: 3 (9 enodes) 1547630247.453 * * [misc]simplify: iters left: 2 (15 enodes) 1547630247.454 * * [misc]simplify: iters left: 1 (17 enodes) 1547630247.457 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547630247.457 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1547630247.458 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1547630247.458 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547630247.458 * * [misc]simplify: iters left: 5 (8 enodes) 1547630247.461 * * [misc]simplify: iters left: 4 (12 enodes) 1547630247.464 * * [misc]simplify: iters left: 3 (18 enodes) 1547630247.469 * * [misc]simplify: iters left: 2 (20 enodes) 1547630247.474 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547630247.474 * [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)))))) 1547630247.474 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1547630247.474 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630247.474 * * [misc]simplify: iters left: 5 (6 enodes) 1547630247.476 * * [misc]simplify: iters left: 4 (8 enodes) 1547630247.478 * * [misc]simplify: iters left: 3 (11 enodes) 1547630247.481 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630247.482 * [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))))))) 1547630247.482 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1547630247.482 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630247.482 * * [misc]simplify: iters left: 5 (6 enodes) 1547630247.484 * * [misc]simplify: iters left: 4 (8 enodes) 1547630247.486 * * [misc]simplify: iters left: 3 (11 enodes) 1547630247.489 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630247.489 * [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))))))) 1547630247.489 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1547630247.489 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630247.489 * * [misc]simplify: iters left: 4 (5 enodes) 1547630247.491 * * [misc]simplify: iters left: 3 (7 enodes) 1547630247.493 * * [misc]simplify: iters left: 2 (10 enodes) 1547630247.496 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630247.496 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1547630247.496 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1547630247.496 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630247.496 * * [misc]simplify: iters left: 5 (9 enodes) 1547630247.499 * * [misc]simplify: iters left: 4 (15 enodes) 1547630247.504 * * [misc]simplify: iters left: 3 (21 enodes) 1547630247.509 * * [misc]simplify: iters left: 2 (22 enodes) 1547630247.515 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630247.515 * [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))))))) 1547630247.515 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1547630247.515 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630247.515 * * [misc]simplify: iters left: 5 (9 enodes) 1547630247.518 * * [misc]simplify: iters left: 4 (15 enodes) 1547630247.522 * * [misc]simplify: iters left: 3 (21 enodes) 1547630247.528 * * [misc]simplify: iters left: 2 (22 enodes) 1547630247.533 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630247.534 * [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))))))) 1547630247.534 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1547630247.534 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547630247.534 * * [misc]simplify: iters left: 5 (7 enodes) 1547630247.536 * * [misc]simplify: iters left: 4 (9 enodes) 1547630247.539 * * [misc]simplify: iters left: 3 (12 enodes) 1547630247.542 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630247.542 * [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))))))) 1547630247.542 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1547630247.542 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1547630247.542 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1547630247.542 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1547630247.543 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1547630247.544 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1547630247.544 * * [misc]simplify: iters left: 6 (14 enodes) 1547630247.548 * * [misc]simplify: iters left: 5 (26 enodes) 1547630247.557 * * [misc]simplify: iters left: 4 (59 enodes) 1547630247.580 * * [misc]simplify: iters left: 3 (164 enodes) 1547630247.655 * * [misc]simplify: iters left: 2 (488 enodes) 1547630247.943 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1547630247.943 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1547630247.944 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1547630247.944 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1547630247.944 * * [misc]simplify: iters left: 6 (14 enodes) 1547630247.946 * * [misc]simplify: iters left: 5 (26 enodes) 1547630247.953 * * [misc]simplify: iters left: 4 (59 enodes) 1547630247.969 * * [misc]simplify: iters left: 3 (164 enodes) 1547630248.013 * * [misc]simplify: iters left: 2 (488 enodes) 1547630248.289 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1547630248.290 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1547630248.290 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1547630248.290 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630248.290 * * [misc]simplify: iters left: 6 (14 enodes) 1547630248.294 * * [misc]simplify: iters left: 5 (24 enodes) 1547630248.302 * * [misc]simplify: iters left: 4 (46 enodes) 1547630248.314 * * [misc]simplify: iters left: 3 (103 enodes) 1547630248.336 * * [misc]simplify: iters left: 2 (336 enodes) 1547630248.571 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1547630248.571 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1547630248.571 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1547630248.571 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1547630248.571 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1547630248.571 * [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))))) 1547630248.572 * * [misc]simplify: iters left: 6 (16 enodes) 1547630248.574 * * [misc]simplify: iters left: 5 (31 enodes) 1547630248.580 * * [misc]simplify: iters left: 4 (70 enodes) 1547630248.591 * * [misc]simplify: iters left: 3 (130 enodes) 1547630248.634 * * [misc]simplify: iters left: 2 (206 enodes) 1547630248.721 * * [misc]simplify: iters left: 1 (288 enodes) 1547630248.850 * [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))))) 1547630248.850 * [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)))))))) 1547630248.850 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1547630248.850 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1547630248.850 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1547630248.850 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1547630248.850 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1547630248.850 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1547630248.850 * * [misc]simplify: iters left: 6 (12 enodes) 1547630248.854 * * [misc]simplify: iters left: 5 (19 enodes) 1547630248.858 * * [misc]simplify: iters left: 4 (27 enodes) 1547630248.865 * * [misc]simplify: iters left: 3 (29 enodes) 1547630248.872 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1547630248.872 * [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))))))) 1547630248.873 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630248.873 * * [misc]simplify: iters left: 6 (12 enodes) 1547630248.876 * * [misc]simplify: iters left: 5 (18 enodes) 1547630248.880 * * [misc]simplify: iters left: 4 (24 enodes) 1547630248.883 * * [misc]simplify: iters left: 3 (25 enodes) 1547630248.886 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630248.886 * [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))))))) 1547630248.886 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1547630248.886 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1547630248.886 * * [misc]simplify: iters left: 6 (12 enodes) 1547630248.888 * * [misc]simplify: iters left: 5 (19 enodes) 1547630248.891 * * [misc]simplify: iters left: 4 (27 enodes) 1547630248.894 * * [misc]simplify: iters left: 3 (29 enodes) 1547630248.897 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1547630248.898 * [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))))))) 1547630248.898 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630248.898 * * [misc]simplify: iters left: 6 (12 enodes) 1547630248.899 * * [misc]simplify: iters left: 5 (18 enodes) 1547630248.902 * * [misc]simplify: iters left: 4 (24 enodes) 1547630248.905 * * [misc]simplify: iters left: 3 (25 enodes) 1547630248.908 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630248.908 * [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))))))) 1547630248.908 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1547630248.908 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1547630248.908 * * [misc]simplify: iters left: 6 (11 enodes) 1547630248.912 * * [misc]simplify: iters left: 5 (15 enodes) 1547630248.915 * * [misc]simplify: iters left: 4 (20 enodes) 1547630248.920 * * [misc]simplify: iters left: 3 (21 enodes) 1547630248.925 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1547630248.925 * [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))))))) 1547630248.926 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630248.926 * * [misc]simplify: iters left: 6 (11 enodes) 1547630248.928 * * [misc]simplify: iters left: 5 (14 enodes) 1547630248.930 * * [misc]simplify: iters left: 4 (17 enodes) 1547630248.932 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630248.932 * [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))))))) 1547630248.932 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1547630248.932 * [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)))))) 1547630248.933 * * [misc]simplify: iters left: 6 (16 enodes) 1547630248.935 * * [misc]simplify: iters left: 5 (28 enodes) 1547630248.939 * * [misc]simplify: iters left: 4 (46 enodes) 1547630248.945 * * [misc]simplify: iters left: 3 (50 enodes) 1547630248.951 * * [misc]simplify: iters left: 2 (53 enodes) 1547630248.958 * [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)))))) 1547630248.958 * [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)))))))) 1547630248.958 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630248.958 * * [misc]simplify: iters left: 6 (14 enodes) 1547630248.961 * * [misc]simplify: iters left: 5 (20 enodes) 1547630248.967 * * [misc]simplify: iters left: 4 (29 enodes) 1547630248.974 * * [misc]simplify: iters left: 3 (30 enodes) 1547630248.978 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630248.978 * [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)))))))) 1547630248.978 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1547630248.979 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630248.979 * * [misc]simplify: iters left: 6 (15 enodes) 1547630248.981 * * [misc]simplify: iters left: 5 (23 enodes) 1547630248.985 * * [misc]simplify: iters left: 4 (34 enodes) 1547630248.989 * * [misc]simplify: iters left: 3 (36 enodes) 1547630248.994 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630248.994 * [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)))))))) 1547630248.994 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630248.994 * * [misc]simplify: iters left: 6 (14 enodes) 1547630248.996 * * [misc]simplify: iters left: 5 (20 enodes) 1547630248.999 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.005 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.012 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.012 * [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)))))))) 1547630249.013 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1547630249.013 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1547630249.013 * * [misc]simplify: iters left: 6 (6 enodes) 1547630249.015 * * [misc]simplify: iters left: 5 (10 enodes) 1547630249.018 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.020 * * [misc]simplify: iters left: 3 (18 enodes) 1547630249.022 * * [misc]simplify: iters left: 2 (23 enodes) 1547630249.025 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630249.025 * [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))))))) 1547630249.025 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.025 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.027 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.030 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.033 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.037 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547630249.037 * [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))))))) 1547630249.037 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1547630249.037 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1547630249.037 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.039 * * [misc]simplify: iters left: 5 (16 enodes) 1547630249.041 * * [misc]simplify: iters left: 4 (22 enodes) 1547630249.044 * * [misc]simplify: iters left: 3 (23 enodes) 1547630249.047 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1547630249.047 * [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))))))) 1547630249.047 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.047 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.049 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.051 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.054 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.057 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.057 * [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))))))) 1547630249.057 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1547630249.058 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1547630249.058 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.059 * * [misc]simplify: iters left: 5 (16 enodes) 1547630249.061 * * [misc]simplify: iters left: 4 (22 enodes) 1547630249.064 * * [misc]simplify: iters left: 3 (23 enodes) 1547630249.066 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1547630249.066 * [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))))))) 1547630249.067 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.067 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.068 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.071 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.076 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.082 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.082 * [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))))))) 1547630249.082 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1547630249.082 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630249.082 * * [misc]simplify: iters left: 6 (10 enodes) 1547630249.086 * * [misc]simplify: iters left: 5 (12 enodes) 1547630249.089 * * [misc]simplify: iters left: 4 (15 enodes) 1547630249.093 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630249.093 * [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))))))) 1547630249.093 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.093 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.097 * * [misc]simplify: iters left: 5 (14 enodes) 1547630249.100 * * [misc]simplify: iters left: 4 (17 enodes) 1547630249.104 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.104 * [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))))))) 1547630249.104 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1547630249.104 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547630249.105 * * [misc]simplify: iters left: 6 (15 enodes) 1547630249.107 * * [misc]simplify: iters left: 5 (23 enodes) 1547630249.110 * * [misc]simplify: iters left: 4 (32 enodes) 1547630249.114 * * [misc]simplify: iters left: 3 (34 enodes) 1547630249.118 * [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)))))) 1547630249.118 * [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)))))))) 1547630249.118 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.118 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.120 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.123 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.127 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.130 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.130 * [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)))))))) 1547630249.130 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1547630249.130 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.131 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.133 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.137 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.140 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.144 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.144 * [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)))))))) 1547630249.145 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.145 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.147 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.152 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.160 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.165 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.165 * [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)))))))) 1547630249.165 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1547630249.166 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1547630249.166 * * [misc]simplify: iters left: 4 (5 enodes) 1547630249.166 * * [misc]simplify: iters left: 3 (7 enodes) 1547630249.168 * * [misc]simplify: iters left: 2 (9 enodes) 1547630249.168 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630249.169 * [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))))))) 1547630249.169 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.169 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.171 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.173 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.177 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547630249.180 * [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))))))) 1547630249.180 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1547630249.180 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1547630249.180 * * [misc]simplify: iters left: 6 (9 enodes) 1547630249.182 * * [misc]simplify: iters left: 5 (16 enodes) 1547630249.184 * * [misc]simplify: iters left: 4 (22 enodes) 1547630249.186 * * [misc]simplify: iters left: 3 (23 enodes) 1547630249.189 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1547630249.189 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1547630249.189 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.189 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.190 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.193 * * [misc]simplify: iters left: 4 (23 enodes) 1547630249.196 * * [misc]simplify: iters left: 3 (24 enodes) 1547630249.199 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547630249.199 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1547630249.199 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1547630249.199 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1547630249.199 * * [misc]simplify: iters left: 6 (9 enodes) 1547630249.202 * * [misc]simplify: iters left: 5 (16 enodes) 1547630249.206 * * [misc]simplify: iters left: 4 (22 enodes) 1547630249.211 * * [misc]simplify: iters left: 3 (23 enodes) 1547630249.216 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1547630249.216 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1547630249.217 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.217 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.220 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.225 * * [misc]simplify: iters left: 4 (23 enodes) 1547630249.230 * * [misc]simplify: iters left: 3 (24 enodes) 1547630249.237 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547630249.237 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1547630249.238 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1547630249.238 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1547630249.238 * * [misc]simplify: iters left: 6 (9 enodes) 1547630249.241 * * [misc]simplify: iters left: 5 (13 enodes) 1547630249.244 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.249 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1547630249.249 * [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))))))) 1547630249.249 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.249 * * [misc]simplify: iters left: 6 (10 enodes) 1547630249.252 * * [misc]simplify: iters left: 5 (13 enodes) 1547630249.256 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.260 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.260 * [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))))))) 1547630249.260 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1547630249.261 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547630249.261 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.265 * * [misc]simplify: iters left: 5 (24 enodes) 1547630249.272 * * [misc]simplify: iters left: 4 (33 enodes) 1547630249.281 * * [misc]simplify: iters left: 3 (34 enodes) 1547630249.289 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1547630249.289 * [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)))))))) 1547630249.289 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.290 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.294 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.299 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.307 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.313 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.313 * [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)))))))) 1547630249.313 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1547630249.313 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.313 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.315 * * [misc]simplify: iters left: 5 (21 enodes) 1547630249.318 * * [misc]simplify: iters left: 4 (30 enodes) 1547630249.322 * * [misc]simplify: iters left: 3 (31 enodes) 1547630249.325 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1547630249.325 * [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)))))))) 1547630249.325 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.326 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.327 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.331 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.334 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.338 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.338 * [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)))))))) 1547630249.338 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1547630249.338 * [enter]simplify: Simplifying (/ 1 1) 1547630249.338 * * [misc]simplify: iters left: 2 (2 enodes) 1547630249.338 * * [misc]simplify: iters left: 1 (4 enodes) 1547630249.339 * [exit]simplify: Simplified to 1 1547630249.339 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1547630249.339 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.339 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.341 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.343 * * [misc]simplify: iters left: 4 (27 enodes) 1547630249.347 * * [misc]simplify: iters left: 3 (29 enodes) 1547630249.351 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.351 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1547630249.351 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1547630249.351 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1547630249.351 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1547630249.351 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1547630249.351 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630249.351 * * [misc]simplify: iters left: 5 (9 enodes) 1547630249.352 * * [misc]simplify: iters left: 4 (15 enodes) 1547630249.355 * * [misc]simplify: iters left: 3 (21 enodes) 1547630249.357 * * [misc]simplify: iters left: 2 (22 enodes) 1547630249.360 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630249.360 * [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)))))) 1547630249.360 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1547630249.360 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547630249.360 * * [misc]simplify: iters left: 5 (9 enodes) 1547630249.361 * * [misc]simplify: iters left: 4 (15 enodes) 1547630249.363 * * [misc]simplify: iters left: 3 (21 enodes) 1547630249.366 * * [misc]simplify: iters left: 2 (22 enodes) 1547630249.368 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547630249.368 * [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)))))) 1547630249.368 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1547630249.368 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547630249.369 * * [misc]simplify: iters left: 5 (8 enodes) 1547630249.370 * * [misc]simplify: iters left: 4 (11 enodes) 1547630249.371 * * [misc]simplify: iters left: 3 (14 enodes) 1547630249.373 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547630249.373 * [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)))))) 1547630249.373 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1547630249.373 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.373 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.375 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.377 * * [misc]simplify: iters left: 4 (26 enodes) 1547630249.381 * * [misc]simplify: iters left: 3 (27 enodes) 1547630249.384 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547630249.384 * [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))))))) 1547630249.384 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1547630249.384 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.384 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.386 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.388 * * [misc]simplify: iters left: 4 (26 enodes) 1547630249.391 * * [misc]simplify: iters left: 3 (27 enodes) 1547630249.394 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547630249.394 * [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))))))) 1547630249.394 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1547630249.395 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1547630249.395 * * [misc]simplify: iters left: 5 (10 enodes) 1547630249.396 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.398 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.401 * * [misc]simplify: iters left: 2 (26 enodes) 1547630249.405 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1547630249.405 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1547630249.405 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1547630249.405 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630249.405 * * [misc]simplify: iters left: 4 (4 enodes) 1547630249.405 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630249.405 * [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)))))) 1547630249.406 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1547630249.406 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547630249.406 * * [misc]simplify: iters left: 2 (3 enodes) 1547630249.406 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630249.406 * [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)))))) 1547630249.406 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1547630249.406 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1547630249.406 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547630249.406 * * [misc]simplify: iters left: 5 (8 enodes) 1547630249.408 * * [misc]simplify: iters left: 4 (12 enodes) 1547630249.409 * * [misc]simplify: iters left: 3 (18 enodes) 1547630249.411 * * [misc]simplify: iters left: 2 (20 enodes) 1547630249.414 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547630249.414 * [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))))) 1547630249.414 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1547630249.414 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1547630249.414 * [enter]simplify: Simplifying (- 1) 1547630249.414 * * [misc]simplify: iters left: 2 (2 enodes) 1547630249.415 * * [misc]simplify: iters left: 1 (5 enodes) 1547630249.415 * [exit]simplify: Simplified to -1 1547630249.415 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1547630249.415 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1547630249.415 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1547630249.415 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1547630249.415 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1547630249.415 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1547630249.415 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1547630249.416 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1547630249.416 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.416 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.418 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.423 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.427 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.430 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.430 * [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))))))) 1547630249.430 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1547630249.430 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.430 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.432 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.435 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.439 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.445 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.445 * [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))))))) 1547630249.445 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1547630249.446 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.446 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.449 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.453 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.456 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.459 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.459 * [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)))))) 1547630249.459 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1547630249.459 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.459 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.461 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.463 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.466 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.469 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.469 * [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)))))) 1547630249.469 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1547630249.469 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.469 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.471 * * [misc]simplify: iters left: 5 (14 enodes) 1547630249.473 * * [misc]simplify: iters left: 4 (17 enodes) 1547630249.475 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.475 * [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)))))) 1547630249.475 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1547630249.475 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.475 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.477 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.480 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.484 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.491 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.491 * [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))))))) 1547630249.491 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1547630249.491 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.491 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.495 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.501 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.509 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.517 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.517 * [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))))))) 1547630249.517 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1547630249.517 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.518 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.521 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.527 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.534 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.541 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547630249.542 * [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)))))) 1547630249.542 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1547630249.542 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.542 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.546 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.551 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.558 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.564 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.564 * [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)))))) 1547630249.565 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1547630249.565 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.565 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.569 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.574 * * [misc]simplify: iters left: 4 (24 enodes) 1547630249.580 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.586 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547630249.586 * [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)))))) 1547630249.586 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1547630249.587 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.587 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.590 * * [misc]simplify: iters left: 5 (14 enodes) 1547630249.594 * * [misc]simplify: iters left: 4 (17 enodes) 1547630249.599 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.599 * [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)))))) 1547630249.599 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1547630249.599 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.599 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.603 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.609 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.614 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.617 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.618 * [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))))))) 1547630249.618 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1547630249.618 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.618 * * [misc]simplify: iters left: 6 (14 enodes) 1547630249.620 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.622 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.626 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.630 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547630249.630 * [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))))))) 1547630249.630 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1547630249.630 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.630 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.632 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.635 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.639 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.642 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547630249.642 * [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)))))) 1547630249.642 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1547630249.643 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.643 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.644 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.647 * * [misc]simplify: iters left: 4 (23 enodes) 1547630249.650 * * [misc]simplify: iters left: 3 (24 enodes) 1547630249.652 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547630249.652 * [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)))))) 1547630249.652 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1547630249.653 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547630249.653 * * [misc]simplify: iters left: 6 (11 enodes) 1547630249.654 * * [misc]simplify: iters left: 5 (17 enodes) 1547630249.657 * * [misc]simplify: iters left: 4 (23 enodes) 1547630249.659 * * [misc]simplify: iters left: 3 (24 enodes) 1547630249.662 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547630249.662 * [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)))))) 1547630249.662 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1547630249.662 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.662 * * [misc]simplify: iters left: 6 (10 enodes) 1547630249.664 * * [misc]simplify: iters left: 5 (13 enodes) 1547630249.666 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.669 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630249.669 * [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)))))) 1547630249.669 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1547630249.669 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.669 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.673 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.679 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.686 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.693 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.694 * [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))))))) 1547630249.694 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1547630249.694 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547630249.694 * * [misc]simplify: iters left: 6 (13 enodes) 1547630249.698 * * [misc]simplify: iters left: 5 (19 enodes) 1547630249.703 * * [misc]simplify: iters left: 4 (28 enodes) 1547630249.711 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.718 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547630249.718 * [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))))))) 1547630249.719 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1547630249.719 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.719 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.723 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.728 * * [misc]simplify: iters left: 4 (27 enodes) 1547630249.735 * * [misc]simplify: iters left: 3 (29 enodes) 1547630249.742 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547630249.742 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1547630249.742 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.743 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.746 * * [misc]simplify: iters left: 5 (18 enodes) 1547630249.751 * * [misc]simplify: iters left: 4 (27 enodes) 1547630249.759 * * [misc]simplify: iters left: 3 (29 enodes) 1547630249.766 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547630249.766 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1547630249.767 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547630249.767 * * [misc]simplify: iters left: 6 (12 enodes) 1547630249.770 * * [misc]simplify: iters left: 5 (20 enodes) 1547630249.776 * * [misc]simplify: iters left: 4 (29 enodes) 1547630249.784 * * [misc]simplify: iters left: 3 (30 enodes) 1547630249.791 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1547630249.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1547630249.791 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1547630249.791 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547630249.791 * * [misc]simplify: iters left: 5 (8 enodes) 1547630249.794 * * [misc]simplify: iters left: 4 (12 enodes) 1547630249.798 * * [misc]simplify: iters left: 3 (18 enodes) 1547630249.803 * * [misc]simplify: iters left: 2 (20 enodes) 1547630249.807 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547630249.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1547630249.808 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1547630249.808 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1547630249.808 * * [misc]simplify: iters left: 5 (10 enodes) 1547630249.810 * * [misc]simplify: iters left: 4 (16 enodes) 1547630249.812 * * [misc]simplify: iters left: 3 (25 enodes) 1547630249.815 * * [misc]simplify: iters left: 2 (26 enodes) 1547630249.818 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1547630249.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1547630249.818 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1547630249.819 * [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))))) 1547630249.819 * * [misc]simplify: iters left: 6 (37 enodes) 1547630249.827 * * [misc]simplify: iters left: 5 (105 enodes) 1547630249.854 * * [misc]simplify: iters left: 4 (339 enodes) 1547630250.043 * [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))))) 1547630250.043 * [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)))))))) 1547630250.043 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1547630250.043 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1547630250.043 * * [misc]simplify: iters left: 6 (15 enodes) 1547630250.049 * * [misc]simplify: iters left: 5 (33 enodes) 1547630250.060 * * [misc]simplify: iters left: 4 (64 enodes) 1547630250.086 * * [misc]simplify: iters left: 3 (171 enodes) 1547630250.155 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1547630250.155 * [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))))))) 1547630250.155 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1547630250.155 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1547630250.156 * * [misc]simplify: iters left: 6 (15 enodes) 1547630250.158 * * [misc]simplify: iters left: 5 (30 enodes) 1547630250.169 * * [misc]simplify: iters left: 4 (65 enodes) 1547630250.194 * * [misc]simplify: iters left: 3 (200 enodes) 1547630250.336 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1547630250.337 * [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))))))) 1547630250.337 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1547630250.337 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630250.337 * * [misc]simplify: iters left: 4 (5 enodes) 1547630250.338 * * [misc]simplify: iters left: 3 (9 enodes) 1547630250.339 * * [misc]simplify: iters left: 2 (15 enodes) 1547630250.341 * * [misc]simplify: iters left: 1 (17 enodes) 1547630250.343 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630250.343 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547630250.343 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1547630250.343 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630250.343 * * [misc]simplify: iters left: 4 (5 enodes) 1547630250.344 * * [misc]simplify: iters left: 3 (9 enodes) 1547630250.345 * * [misc]simplify: iters left: 2 (15 enodes) 1547630250.347 * * [misc]simplify: iters left: 1 (17 enodes) 1547630250.349 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630250.349 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547630250.349 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1547630250.349 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547630250.349 * * [misc]simplify: iters left: 4 (5 enodes) 1547630250.350 * * [misc]simplify: iters left: 3 (9 enodes) 1547630250.351 * * [misc]simplify: iters left: 2 (15 enodes) 1547630250.353 * * [misc]simplify: iters left: 1 (17 enodes) 1547630250.355 * [exit]simplify: Simplified to (* (* PI n) 2) 1547630250.355 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547630250.355 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1547630250.356 * [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))))))))))) 1547630250.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547630250.356 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1547630250.356 * [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)))))))))))) 1547630250.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547630250.356 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1547630250.356 * [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)))))))))))) 1547630250.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547630250.356 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1547630250.356 * [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))))))))))))) 1547630250.356 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630250.356 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1547630250.356 * [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)))))))) 1547630250.356 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630250.356 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1547630250.357 * [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))))))))))) 1547630250.357 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630250.357 * * * [misc]progress: adding candidates to table 1547630251.765 * * [misc]progress: iteration 3 / 4 1547630251.765 * * * [misc]progress: picking best candidate 1547630251.785 * * * * [misc]pick: Picked # 1547630251.785 * * * [misc]progress: localizing error 1547630251.822 * * * [misc]progress: generating rewritten candidates 1547630251.822 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1547630251.824 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1547630251.826 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1547630251.838 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1547630251.854 * * * [misc]progress: generating series expansions 1547630251.854 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1547630251.855 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1547630251.855 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1547630251.855 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.855 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.855 * [misc]taylor: Taking taylor expansion of k in k 1547630251.855 * [misc]backup-simplify: Simplify 0 into 0 1547630251.855 * [misc]backup-simplify: Simplify 1 into 1 1547630251.855 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630251.855 * [misc]taylor: Taking taylor expansion of 2 in k 1547630251.855 * [misc]backup-simplify: Simplify 2 into 2 1547630251.855 * [misc]taylor: Taking taylor expansion of n in k 1547630251.855 * [misc]backup-simplify: Simplify n into n 1547630251.855 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630251.855 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630251.856 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630251.856 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.856 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.856 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630251.856 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630251.856 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630251.856 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630251.856 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630251.856 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630251.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.857 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630251.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.857 * [misc]taylor: Taking taylor expansion of k in n 1547630251.857 * [misc]backup-simplify: Simplify k into k 1547630251.857 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630251.857 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630251.857 * [misc]taylor: Taking taylor expansion of 2 in n 1547630251.857 * [misc]backup-simplify: Simplify 2 into 2 1547630251.857 * [misc]taylor: Taking taylor expansion of n in n 1547630251.857 * [misc]backup-simplify: Simplify 0 into 0 1547630251.857 * [misc]backup-simplify: Simplify 1 into 1 1547630251.857 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630251.857 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630251.857 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.858 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630251.858 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630251.858 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630251.858 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630251.858 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630251.859 * [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)))) 1547630251.859 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.859 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.859 * [misc]taylor: Taking taylor expansion of k in n 1547630251.859 * [misc]backup-simplify: Simplify k into k 1547630251.859 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630251.859 * [misc]taylor: Taking taylor expansion of 2 in n 1547630251.859 * [misc]backup-simplify: Simplify 2 into 2 1547630251.859 * [misc]taylor: Taking taylor expansion of n in n 1547630251.859 * [misc]backup-simplify: Simplify 0 into 0 1547630251.859 * [misc]backup-simplify: Simplify 1 into 1 1547630251.859 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630251.860 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630251.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.860 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630251.860 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630251.860 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630251.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630251.861 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630251.861 * [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)))) 1547630251.861 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1547630251.861 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1547630251.861 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1547630251.861 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547630251.861 * [misc]taylor: Taking taylor expansion of 2 in k 1547630251.861 * [misc]backup-simplify: Simplify 2 into 2 1547630251.861 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.862 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630251.862 * [misc]taylor: Taking taylor expansion of n in k 1547630251.862 * [misc]backup-simplify: Simplify n into n 1547630251.862 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630251.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630251.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.862 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630251.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.862 * [misc]taylor: Taking taylor expansion of k in k 1547630251.862 * [misc]backup-simplify: Simplify 0 into 0 1547630251.862 * [misc]backup-simplify: Simplify 1 into 1 1547630251.862 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1547630251.862 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630251.862 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.863 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.863 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1547630251.863 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547630251.863 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547630251.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630251.866 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630251.866 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547630251.867 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.867 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630251.867 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1547630251.869 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630251.869 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.869 * [misc]backup-simplify: Simplify 0 into 0 1547630251.869 * [misc]backup-simplify: Simplify 0 into 0 1547630251.869 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630251.869 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630251.869 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630251.872 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630251.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547630251.873 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.873 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1547630251.874 * [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))))) 1547630251.875 * [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))))) 1547630251.875 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630251.880 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630251.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547630251.880 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.881 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630251.881 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1547630251.883 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547630251.883 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.883 * [misc]backup-simplify: Simplify 0 into 0 1547630251.883 * [misc]backup-simplify: Simplify 0 into 0 1547630251.883 * [misc]backup-simplify: Simplify 0 into 0 1547630251.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630251.884 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.888 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630251.890 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547630251.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.891 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1547630251.893 * [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))))) 1547630251.894 * [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))))) 1547630251.897 * [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))))) 1547630251.897 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630251.897 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547630251.897 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630251.897 * [misc]taylor: Taking taylor expansion of k in k 1547630251.897 * [misc]backup-simplify: Simplify 0 into 0 1547630251.897 * [misc]backup-simplify: Simplify 1 into 1 1547630251.898 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630251.898 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630251.898 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630251.898 * [misc]taylor: Taking taylor expansion of 2 in k 1547630251.898 * [misc]backup-simplify: Simplify 2 into 2 1547630251.898 * [misc]taylor: Taking taylor expansion of n in k 1547630251.898 * [misc]backup-simplify: Simplify n into n 1547630251.898 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630251.898 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630251.898 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630251.898 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630251.898 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630251.899 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630251.899 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630251.899 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of k in n 1547630251.899 * [misc]backup-simplify: Simplify k into k 1547630251.899 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630251.899 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630251.899 * [misc]taylor: Taking taylor expansion of 2 in n 1547630251.899 * [misc]backup-simplify: Simplify 2 into 2 1547630251.899 * [misc]taylor: Taking taylor expansion of n in n 1547630251.899 * [misc]backup-simplify: Simplify 0 into 0 1547630251.899 * [misc]backup-simplify: Simplify 1 into 1 1547630251.900 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630251.900 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.900 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630251.900 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630251.900 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630251.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630251.901 * [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))) 1547630251.901 * [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)))) 1547630251.901 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630251.901 * [misc]taylor: Taking taylor expansion of k in n 1547630251.902 * [misc]backup-simplify: Simplify k into k 1547630251.902 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630251.902 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630251.902 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630251.902 * [misc]taylor: Taking taylor expansion of 2 in n 1547630251.902 * [misc]backup-simplify: Simplify 2 into 2 1547630251.902 * [misc]taylor: Taking taylor expansion of n in n 1547630251.902 * [misc]backup-simplify: Simplify 0 into 0 1547630251.902 * [misc]backup-simplify: Simplify 1 into 1 1547630251.902 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630251.902 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.902 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630251.902 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630251.902 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630251.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630251.903 * [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))) 1547630251.903 * [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)))) 1547630251.904 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.904 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of k in k 1547630251.904 * [misc]backup-simplify: Simplify 0 into 0 1547630251.904 * [misc]backup-simplify: Simplify 1 into 1 1547630251.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630251.904 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547630251.904 * [misc]taylor: Taking taylor expansion of 2 in k 1547630251.904 * [misc]backup-simplify: Simplify 2 into 2 1547630251.904 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630251.904 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630251.905 * [misc]taylor: Taking taylor expansion of n in k 1547630251.905 * [misc]backup-simplify: Simplify n into n 1547630251.905 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630251.905 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630251.905 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630251.905 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630251.905 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630251.906 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1547630251.906 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1547630251.906 * [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)))) 1547630251.906 * [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)))) 1547630251.907 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630251.909 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630251.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630251.910 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630251.910 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.910 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630251.911 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630251.912 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630251.912 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.912 * [misc]backup-simplify: Simplify 0 into 0 1547630251.912 * [misc]backup-simplify: Simplify 0 into 0 1547630251.913 * [misc]backup-simplify: Simplify 0 into 0 1547630251.913 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630251.917 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630251.918 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630251.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630251.918 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630251.919 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547630251.921 * [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 1547630251.921 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.921 * [misc]backup-simplify: Simplify 0 into 0 1547630251.922 * [misc]backup-simplify: Simplify 0 into 0 1547630251.922 * [misc]backup-simplify: Simplify 0 into 0 1547630251.922 * [misc]backup-simplify: Simplify 0 into 0 1547630251.922 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630251.929 * [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 1547630251.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630251.930 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630251.930 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.931 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630251.931 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1547630251.935 * [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 1547630251.935 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.935 * [misc]backup-simplify: Simplify 0 into 0 1547630251.935 * [misc]backup-simplify: Simplify 0 into 0 1547630251.936 * [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)))) 1547630251.936 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630251.936 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547630251.936 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of k in k 1547630251.936 * [misc]backup-simplify: Simplify 0 into 0 1547630251.936 * [misc]backup-simplify: Simplify 1 into 1 1547630251.936 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630251.936 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.936 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630251.936 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630251.937 * [misc]taylor: Taking taylor expansion of -2 in k 1547630251.937 * [misc]backup-simplify: Simplify -2 into -2 1547630251.937 * [misc]taylor: Taking taylor expansion of n in k 1547630251.937 * [misc]backup-simplify: Simplify n into n 1547630251.937 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630251.937 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630251.937 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630251.937 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.937 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630251.937 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630251.937 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630251.937 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630251.937 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630251.937 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630251.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630251.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.938 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630251.938 * [misc]taylor: Taking taylor expansion of k in n 1547630251.938 * [misc]backup-simplify: Simplify k into k 1547630251.938 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630251.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.938 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630251.938 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630251.938 * [misc]taylor: Taking taylor expansion of -2 in n 1547630251.938 * [misc]backup-simplify: Simplify -2 into -2 1547630251.938 * [misc]taylor: Taking taylor expansion of n in n 1547630251.938 * [misc]backup-simplify: Simplify 0 into 0 1547630251.938 * [misc]backup-simplify: Simplify 1 into 1 1547630251.938 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630251.938 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630251.938 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630251.938 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630251.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630251.939 * [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))) 1547630251.939 * [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)))) 1547630251.940 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of k in n 1547630251.940 * [misc]backup-simplify: Simplify k into k 1547630251.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630251.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630251.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.940 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630251.940 * [misc]taylor: Taking taylor expansion of -2 in n 1547630251.940 * [misc]backup-simplify: Simplify -2 into -2 1547630251.940 * [misc]taylor: Taking taylor expansion of n in n 1547630251.940 * [misc]backup-simplify: Simplify 0 into 0 1547630251.940 * [misc]backup-simplify: Simplify 1 into 1 1547630251.940 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630251.940 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630251.941 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630251.941 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630251.941 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630251.942 * [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))) 1547630251.942 * [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)))) 1547630251.942 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1547630251.942 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1547630251.942 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630251.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630251.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.942 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630251.942 * [misc]taylor: Taking taylor expansion of k in k 1547630251.942 * [misc]backup-simplify: Simplify 0 into 0 1547630251.942 * [misc]backup-simplify: Simplify 1 into 1 1547630251.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630251.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.943 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1547630251.943 * [misc]taylor: Taking taylor expansion of (log -2) in k 1547630251.943 * [misc]taylor: Taking taylor expansion of -2 in k 1547630251.943 * [misc]backup-simplify: Simplify -2 into -2 1547630251.943 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630251.943 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630251.943 * [misc]taylor: Taking taylor expansion of n in k 1547630251.943 * [misc]backup-simplify: Simplify n into n 1547630251.943 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630251.943 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630251.943 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.943 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630251.944 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1547630251.944 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1547630251.944 * [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)))) 1547630251.945 * [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)))) 1547630251.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630251.947 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630251.948 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630251.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630251.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630251.949 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630251.950 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630251.950 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.950 * [misc]backup-simplify: Simplify 0 into 0 1547630251.950 * [misc]backup-simplify: Simplify 0 into 0 1547630251.950 * [misc]backup-simplify: Simplify 0 into 0 1547630251.951 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630251.955 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547630251.955 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630251.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630251.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.956 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630251.957 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547630251.959 * [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 1547630251.959 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.959 * [misc]backup-simplify: Simplify 0 into 0 1547630251.959 * [misc]backup-simplify: Simplify 0 into 0 1547630251.959 * [misc]backup-simplify: Simplify 0 into 0 1547630251.959 * [misc]backup-simplify: Simplify 0 into 0 1547630251.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630251.971 * [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 1547630251.971 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630251.972 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630251.972 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.972 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630251.973 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1547630251.976 * [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 1547630251.976 * [misc]taylor: Taking taylor expansion of 0 in k 1547630251.976 * [misc]backup-simplify: Simplify 0 into 0 1547630251.977 * [misc]backup-simplify: Simplify 0 into 0 1547630251.977 * [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))))) 1547630251.977 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1547630251.977 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1547630251.977 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1547630251.977 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630251.977 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630251.977 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630251.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630251.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.977 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630251.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.977 * [misc]taylor: Taking taylor expansion of k in k 1547630251.978 * [misc]backup-simplify: Simplify 0 into 0 1547630251.978 * [misc]backup-simplify: Simplify 1 into 1 1547630251.978 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630251.978 * [misc]taylor: Taking taylor expansion of PI in k 1547630251.978 * [misc]backup-simplify: Simplify PI into PI 1547630251.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630251.978 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630251.978 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.979 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.979 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630251.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630251.980 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.980 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630251.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630251.980 * [misc]taylor: Taking taylor expansion of k in k 1547630251.980 * [misc]backup-simplify: Simplify 0 into 0 1547630251.980 * [misc]backup-simplify: Simplify 1 into 1 1547630251.980 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630251.980 * [misc]taylor: Taking taylor expansion of PI in k 1547630251.980 * [misc]backup-simplify: Simplify PI into PI 1547630251.980 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630251.981 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630251.981 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.981 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630251.981 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630251.982 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630251.983 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1547630251.985 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630251.985 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630251.985 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630251.986 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630251.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547630251.990 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630251.991 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630251.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630251.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630251.996 * [misc]backup-simplify: Simplify (- 0) into 0 1547630251.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630251.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547630252.002 * [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))) 1547630252.004 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1547630252.006 * [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)))) 1547630252.007 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.007 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1547630252.007 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of k in k 1547630252.007 * [misc]backup-simplify: Simplify 0 into 0 1547630252.007 * [misc]backup-simplify: Simplify 1 into 1 1547630252.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.007 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.007 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.007 * [misc]backup-simplify: Simplify PI into PI 1547630252.007 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.008 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.008 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.008 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630252.008 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.008 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630252.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630252.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.009 * [misc]taylor: Taking taylor expansion of k in k 1547630252.009 * [misc]backup-simplify: Simplify 0 into 0 1547630252.009 * [misc]backup-simplify: Simplify 1 into 1 1547630252.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.009 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.009 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.009 * [misc]backup-simplify: Simplify PI into PI 1547630252.009 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.010 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630252.010 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.010 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify 0 into 0 1547630252.010 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1547630252.010 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.010 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1547630252.010 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.010 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630252.010 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630252.010 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.011 * [misc]taylor: Taking taylor expansion of k in k 1547630252.011 * [misc]backup-simplify: Simplify 0 into 0 1547630252.011 * [misc]backup-simplify: Simplify 1 into 1 1547630252.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.011 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.011 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.011 * [misc]backup-simplify: Simplify PI into PI 1547630252.011 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.011 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.011 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.012 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.012 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.012 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of k in k 1547630252.012 * [misc]backup-simplify: Simplify 0 into 0 1547630252.012 * [misc]backup-simplify: Simplify 1 into 1 1547630252.012 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.012 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.012 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.012 * [misc]backup-simplify: Simplify PI into PI 1547630252.012 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.013 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.013 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.013 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.013 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.013 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.013 * [misc]backup-simplify: Simplify 0 into 0 1547630252.013 * [misc]backup-simplify: Simplify 0 into 0 1547630252.013 * [misc]backup-simplify: Simplify 0 into 0 1547630252.013 * [misc]backup-simplify: Simplify 0 into 0 1547630252.013 * [misc]backup-simplify: Simplify 0 into 0 1547630252.014 * [misc]backup-simplify: Simplify 0 into 0 1547630252.014 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1547630252.014 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1547630252.014 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1547630252.014 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1547630252.014 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.014 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.014 * [misc]taylor: Taking taylor expansion of k in n 1547630252.014 * [misc]backup-simplify: Simplify k into k 1547630252.014 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.014 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.014 * [misc]backup-simplify: Simplify 2 into 2 1547630252.014 * [misc]taylor: Taking taylor expansion of n in n 1547630252.014 * [misc]backup-simplify: Simplify 0 into 0 1547630252.014 * [misc]backup-simplify: Simplify 1 into 1 1547630252.014 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.015 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.015 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.015 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630252.015 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630252.015 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630252.015 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.015 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630252.015 * [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)))) 1547630252.015 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547630252.015 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547630252.016 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547630252.016 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630252.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.016 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630252.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.016 * [misc]taylor: Taking taylor expansion of k in n 1547630252.016 * [misc]backup-simplify: Simplify k into k 1547630252.016 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.016 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.016 * [misc]backup-simplify: Simplify PI into PI 1547630252.016 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.016 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630252.016 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630252.016 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630252.016 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547630252.017 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547630252.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630252.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.017 * [misc]taylor: Taking taylor expansion of k in n 1547630252.017 * [misc]backup-simplify: Simplify k into k 1547630252.017 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.017 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630252.017 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.017 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630252.017 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.017 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.017 * [misc]taylor: Taking taylor expansion of k in k 1547630252.017 * [misc]backup-simplify: Simplify 0 into 0 1547630252.017 * [misc]backup-simplify: Simplify 1 into 1 1547630252.017 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630252.017 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.017 * [misc]backup-simplify: Simplify 2 into 2 1547630252.017 * [misc]taylor: Taking taylor expansion of n in k 1547630252.017 * [misc]backup-simplify: Simplify n into n 1547630252.017 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630252.017 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630252.017 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.018 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.018 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.018 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630252.018 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630252.018 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.018 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.018 * [misc]taylor: Taking taylor expansion of k in k 1547630252.018 * [misc]backup-simplify: Simplify 0 into 0 1547630252.018 * [misc]backup-simplify: Simplify 1 into 1 1547630252.018 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.018 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.018 * [misc]backup-simplify: Simplify PI into PI 1547630252.018 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.018 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.018 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.018 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.019 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.019 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630252.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630252.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.019 * [misc]taylor: Taking taylor expansion of k in k 1547630252.019 * [misc]backup-simplify: Simplify 0 into 0 1547630252.019 * [misc]backup-simplify: Simplify 1 into 1 1547630252.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.020 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.020 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.020 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.020 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.020 * [misc]taylor: Taking taylor expansion of k in k 1547630252.020 * [misc]backup-simplify: Simplify 0 into 0 1547630252.020 * [misc]backup-simplify: Simplify 1 into 1 1547630252.020 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630252.020 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.020 * [misc]backup-simplify: Simplify 2 into 2 1547630252.020 * [misc]taylor: Taking taylor expansion of n in k 1547630252.020 * [misc]backup-simplify: Simplify n into n 1547630252.020 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630252.020 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630252.020 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.020 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.021 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.021 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630252.021 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630252.021 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.021 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.021 * [misc]taylor: Taking taylor expansion of k in k 1547630252.021 * [misc]backup-simplify: Simplify 0 into 0 1547630252.021 * [misc]backup-simplify: Simplify 1 into 1 1547630252.021 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.021 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.021 * [misc]backup-simplify: Simplify PI into PI 1547630252.021 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.021 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.021 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.021 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.022 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.022 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630252.022 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630252.022 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.022 * [misc]taylor: Taking taylor expansion of k in k 1547630252.022 * [misc]backup-simplify: Simplify 0 into 0 1547630252.022 * [misc]backup-simplify: Simplify 1 into 1 1547630252.022 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.022 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.023 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.023 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547630252.023 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1547630252.023 * [misc]taylor: Taking taylor expansion of 0 in n 1547630252.023 * [misc]backup-simplify: Simplify 0 into 0 1547630252.023 * [misc]backup-simplify: Simplify 0 into 0 1547630252.025 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630252.025 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630252.025 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.025 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547630252.028 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630252.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547630252.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547630252.028 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630252.029 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.029 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.029 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547630252.029 * [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)))) 1547630252.030 * [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)))))) 1547630252.031 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1547630252.031 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.031 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.031 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.031 * [misc]backup-simplify: Simplify 2 into 2 1547630252.031 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.031 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.031 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630252.031 * [misc]taylor: Taking taylor expansion of n in n 1547630252.031 * [misc]backup-simplify: Simplify 0 into 0 1547630252.031 * [misc]backup-simplify: Simplify 1 into 1 1547630252.031 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.031 * [misc]backup-simplify: Simplify PI into PI 1547630252.032 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630252.032 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630252.032 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.032 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.032 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630252.033 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.033 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.033 * [misc]backup-simplify: Simplify 0 into 0 1547630252.033 * [misc]backup-simplify: Simplify 0 into 0 1547630252.033 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630252.034 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.036 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630252.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630252.036 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547630252.040 * [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))) 1547630252.040 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547630252.041 * [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 1547630252.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630252.042 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547630252.043 * [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))) 1547630252.045 * [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))))))) 1547630252.047 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 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))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1547630252.048 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.048 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.048 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.048 * [misc]backup-simplify: Simplify 2 into 2 1547630252.048 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.048 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.048 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.048 * [misc]backup-simplify: Simplify PI into PI 1547630252.049 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.049 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.049 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.049 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.049 * [misc]backup-simplify: Simplify PI into PI 1547630252.049 * [misc]taylor: Taking taylor expansion of n in n 1547630252.049 * [misc]backup-simplify: Simplify 0 into 0 1547630252.049 * [misc]backup-simplify: Simplify 1 into 1 1547630252.049 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.050 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.050 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.050 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.050 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1547630252.050 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1547630252.050 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630252.050 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630252.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.051 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.051 * [misc]backup-simplify: Simplify 2 into 2 1547630252.051 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.051 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630252.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630252.051 * [misc]taylor: Taking taylor expansion of n in n 1547630252.051 * [misc]backup-simplify: Simplify 0 into 0 1547630252.051 * [misc]backup-simplify: Simplify 1 into 1 1547630252.051 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.051 * [misc]backup-simplify: Simplify PI into PI 1547630252.051 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630252.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630252.052 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.053 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.053 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.053 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.053 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.053 * [misc]backup-simplify: Simplify 2 into 2 1547630252.053 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.053 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.053 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.053 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.054 * [misc]backup-simplify: Simplify 2 into 2 1547630252.054 * [misc]taylor: Taking taylor expansion of n in n 1547630252.054 * [misc]backup-simplify: Simplify 0 into 0 1547630252.054 * [misc]backup-simplify: Simplify 1 into 1 1547630252.054 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.054 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.054 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.054 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.054 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.054 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.054 * [misc]backup-simplify: Simplify PI into PI 1547630252.054 * [misc]taylor: Taking taylor expansion of n in n 1547630252.054 * [misc]backup-simplify: Simplify 0 into 0 1547630252.054 * [misc]backup-simplify: Simplify 1 into 1 1547630252.055 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.055 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.055 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.056 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.057 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547630252.058 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547630252.058 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.058 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630252.058 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.058 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.059 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547630252.059 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547630252.059 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.059 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.060 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.060 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.060 * [misc]backup-simplify: Simplify 0 into 0 1547630252.061 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.063 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.065 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.066 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.066 * [misc]backup-simplify: Simplify 0 into 0 1547630252.066 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630252.067 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630252.074 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1547630252.074 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630252.075 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1547630252.080 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1547630252.081 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1547630252.082 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1547630252.082 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630252.083 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.083 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1547630252.084 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1547630252.087 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1547630252.093 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 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))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1547630252.093 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1547630252.093 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1547630252.093 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547630252.093 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.093 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.093 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547630252.094 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547630252.094 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.094 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.094 * [misc]backup-simplify: Simplify 2 into 2 1547630252.095 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.095 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.095 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.095 * [misc]backup-simplify: Simplify PI into PI 1547630252.095 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.095 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.095 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.095 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.095 * [misc]backup-simplify: Simplify PI into PI 1547630252.095 * [misc]taylor: Taking taylor expansion of n in n 1547630252.095 * [misc]backup-simplify: Simplify 0 into 0 1547630252.095 * [misc]backup-simplify: Simplify 1 into 1 1547630252.095 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.096 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.096 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.096 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.096 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.096 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.096 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.096 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.096 * [misc]backup-simplify: Simplify 2 into 2 1547630252.097 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.097 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.097 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547630252.097 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.097 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.097 * [misc]backup-simplify: Simplify PI into PI 1547630252.097 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.097 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.097 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.097 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.097 * [misc]backup-simplify: Simplify PI into PI 1547630252.097 * [misc]taylor: Taking taylor expansion of n in n 1547630252.097 * [misc]backup-simplify: Simplify 0 into 0 1547630252.097 * [misc]backup-simplify: Simplify 1 into 1 1547630252.097 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.098 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.098 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.098 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.098 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.098 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.098 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.098 * [misc]backup-simplify: Simplify 2 into 2 1547630252.098 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.098 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.098 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547630252.098 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.099 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.099 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.099 * [misc]backup-simplify: Simplify 2 into 2 1547630252.099 * [misc]taylor: Taking taylor expansion of n in n 1547630252.099 * [misc]backup-simplify: Simplify 0 into 0 1547630252.099 * [misc]backup-simplify: Simplify 1 into 1 1547630252.099 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.099 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.099 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.099 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.099 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.099 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.099 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.099 * [misc]backup-simplify: Simplify PI into PI 1547630252.099 * [misc]taylor: Taking taylor expansion of n in n 1547630252.099 * [misc]backup-simplify: Simplify 0 into 0 1547630252.099 * [misc]backup-simplify: Simplify 1 into 1 1547630252.099 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.100 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.100 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.100 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.100 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.100 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.100 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.100 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.100 * [misc]backup-simplify: Simplify 2 into 2 1547630252.101 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.101 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.101 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.101 * [misc]backup-simplify: Simplify 2 into 2 1547630252.101 * [misc]taylor: Taking taylor expansion of n in n 1547630252.101 * [misc]backup-simplify: Simplify 0 into 0 1547630252.101 * [misc]backup-simplify: Simplify 1 into 1 1547630252.101 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.101 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.101 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.101 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.101 * [misc]backup-simplify: Simplify PI into PI 1547630252.101 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.101 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630252.101 * [misc]taylor: Taking taylor expansion of n in n 1547630252.102 * [misc]backup-simplify: Simplify 0 into 0 1547630252.102 * [misc]backup-simplify: Simplify 1 into 1 1547630252.102 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.102 * [misc]backup-simplify: Simplify PI into PI 1547630252.102 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630252.102 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630252.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.103 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.103 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.103 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.103 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.103 * [misc]backup-simplify: Simplify 2 into 2 1547630252.103 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.103 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.103 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630252.103 * [misc]taylor: Taking taylor expansion of n in n 1547630252.103 * [misc]backup-simplify: Simplify 0 into 0 1547630252.103 * [misc]backup-simplify: Simplify 1 into 1 1547630252.103 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.103 * [misc]backup-simplify: Simplify PI into PI 1547630252.103 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630252.104 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630252.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.104 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.104 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547630252.104 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547630252.104 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.104 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.104 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547630252.104 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547630252.104 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.104 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.104 * [misc]backup-simplify: Simplify 2 into 2 1547630252.104 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.104 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.105 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.105 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.105 * [misc]backup-simplify: Simplify 2 into 2 1547630252.105 * [misc]taylor: Taking taylor expansion of n in n 1547630252.105 * [misc]backup-simplify: Simplify 0 into 0 1547630252.105 * [misc]backup-simplify: Simplify 1 into 1 1547630252.105 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.105 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.105 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.105 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630252.105 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630252.105 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.105 * [misc]backup-simplify: Simplify PI into PI 1547630252.105 * [misc]taylor: Taking taylor expansion of n in n 1547630252.105 * [misc]backup-simplify: Simplify 0 into 0 1547630252.105 * [misc]backup-simplify: Simplify 1 into 1 1547630252.105 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630252.106 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630252.106 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.106 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630252.106 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547630252.107 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547630252.107 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.108 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547630252.109 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547630252.110 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547630252.110 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.111 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.111 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.111 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547630252.112 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547630252.112 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547630252.112 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.113 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.113 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547630252.114 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547630252.115 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1547630252.115 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.115 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630252.115 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.115 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.116 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547630252.116 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547630252.116 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.117 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.118 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.118 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.118 * [misc]backup-simplify: Simplify 0 into 0 1547630252.121 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630252.122 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547630252.123 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630252.126 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630252.127 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.129 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630252.129 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630252.132 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630252.132 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.133 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547630252.133 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630252.136 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630252.138 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630252.141 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1547630252.146 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1547630252.151 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630252.157 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630252.161 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630252.162 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630252.163 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547630252.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547630252.165 * [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)))) 1547630252.168 * [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)))) 1547630252.169 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630252.170 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630252.175 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1547630252.176 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1547630252.176 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1547630252.176 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1547630252.176 * [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 1547630252.176 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.176 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of k in n 1547630252.176 * [misc]backup-simplify: Simplify k into k 1547630252.176 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.176 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.176 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.176 * [misc]backup-simplify: Simplify PI into PI 1547630252.177 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.177 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.177 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.177 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.177 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630252.177 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.177 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of k in n 1547630252.178 * [misc]backup-simplify: Simplify k into k 1547630252.178 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.178 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.178 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.178 * [misc]backup-simplify: Simplify 2 into 2 1547630252.178 * [misc]taylor: Taking taylor expansion of n in n 1547630252.178 * [misc]backup-simplify: Simplify 0 into 0 1547630252.178 * [misc]backup-simplify: Simplify 1 into 1 1547630252.178 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.178 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.178 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.178 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.178 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.179 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.179 * [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))) 1547630252.179 * [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)))) 1547630252.179 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630252.179 * [misc]taylor: Taking taylor expansion of k in n 1547630252.179 * [misc]backup-simplify: Simplify k into k 1547630252.179 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630252.179 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630252.179 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1547630252.179 * [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 1547630252.179 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.179 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of k in k 1547630252.179 * [misc]backup-simplify: Simplify 0 into 0 1547630252.179 * [misc]backup-simplify: Simplify 1 into 1 1547630252.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.179 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.179 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.180 * [misc]backup-simplify: Simplify PI into PI 1547630252.180 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.180 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.180 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.180 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.180 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630252.181 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.181 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.181 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.181 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of k in k 1547630252.181 * [misc]backup-simplify: Simplify 0 into 0 1547630252.181 * [misc]backup-simplify: Simplify 1 into 1 1547630252.181 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.181 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630252.181 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.181 * [misc]backup-simplify: Simplify 2 into 2 1547630252.181 * [misc]taylor: Taking taylor expansion of n in k 1547630252.181 * [misc]backup-simplify: Simplify n into n 1547630252.181 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630252.181 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630252.181 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.181 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.181 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.181 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630252.182 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.182 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of k in k 1547630252.182 * [misc]backup-simplify: Simplify 0 into 0 1547630252.182 * [misc]backup-simplify: Simplify 1 into 1 1547630252.182 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.182 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.182 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1547630252.182 * [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 1547630252.182 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.182 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of k in k 1547630252.182 * [misc]backup-simplify: Simplify 0 into 0 1547630252.182 * [misc]backup-simplify: Simplify 1 into 1 1547630252.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.182 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.182 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.182 * [misc]backup-simplify: Simplify PI into PI 1547630252.183 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.183 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.183 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.183 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.183 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630252.183 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.183 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.183 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630252.183 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.184 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of k in k 1547630252.184 * [misc]backup-simplify: Simplify 0 into 0 1547630252.184 * [misc]backup-simplify: Simplify 1 into 1 1547630252.184 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.184 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.184 * [misc]backup-simplify: Simplify 2 into 2 1547630252.184 * [misc]taylor: Taking taylor expansion of n in k 1547630252.184 * [misc]backup-simplify: Simplify n into n 1547630252.184 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630252.184 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630252.184 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.184 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.184 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.184 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630252.184 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.184 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630252.184 * [misc]taylor: Taking taylor expansion of k in k 1547630252.184 * [misc]backup-simplify: Simplify 0 into 0 1547630252.184 * [misc]backup-simplify: Simplify 1 into 1 1547630252.185 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.185 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.185 * [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))))) 1547630252.185 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547630252.185 * [misc]taylor: Taking taylor expansion of 0 in n 1547630252.185 * [misc]backup-simplify: Simplify 0 into 0 1547630252.185 * [misc]backup-simplify: Simplify 0 into 0 1547630252.185 * [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 1547630252.186 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630252.186 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.186 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.186 * [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 1547630252.186 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.186 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.186 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of k in n 1547630252.186 * [misc]backup-simplify: Simplify k into k 1547630252.186 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.186 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.186 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.186 * [misc]backup-simplify: Simplify PI into PI 1547630252.186 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.186 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.186 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.186 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.187 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630252.187 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.187 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.187 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of k in n 1547630252.187 * [misc]backup-simplify: Simplify k into k 1547630252.187 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.187 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.187 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.187 * [misc]backup-simplify: Simplify 2 into 2 1547630252.187 * [misc]taylor: Taking taylor expansion of n in n 1547630252.187 * [misc]backup-simplify: Simplify 0 into 0 1547630252.187 * [misc]backup-simplify: Simplify 1 into 1 1547630252.188 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.188 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.188 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.188 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.188 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.189 * [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))) 1547630252.189 * [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)))) 1547630252.189 * [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))))) 1547630252.190 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630252.190 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.191 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.191 * [misc]backup-simplify: Simplify 0 into 0 1547630252.192 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.193 * [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 1547630252.193 * [misc]backup-simplify: Simplify (+ (* (* (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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630252.194 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.194 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.194 * [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 1547630252.194 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of k in n 1547630252.194 * [misc]backup-simplify: Simplify k into k 1547630252.194 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.194 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.194 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.194 * [misc]backup-simplify: Simplify PI into PI 1547630252.195 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.195 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.195 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.195 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.195 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630252.196 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.196 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of k in n 1547630252.196 * [misc]backup-simplify: Simplify k into k 1547630252.196 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.196 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.196 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.196 * [misc]backup-simplify: Simplify 2 into 2 1547630252.196 * [misc]taylor: Taking taylor expansion of n in n 1547630252.196 * [misc]backup-simplify: Simplify 0 into 0 1547630252.196 * [misc]backup-simplify: Simplify 1 into 1 1547630252.196 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.197 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.197 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.197 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.197 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.198 * [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))) 1547630252.198 * [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)))) 1547630252.198 * [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))))) 1547630252.199 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630252.199 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.200 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.200 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630252.202 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630252.203 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.203 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.203 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.203 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.203 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.204 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630252.204 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630252.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.206 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.207 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547630252.207 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.208 * [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 1547630252.208 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1547630252.208 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.208 * [misc]backup-simplify: Simplify 0 into 0 1547630252.208 * [misc]backup-simplify: Simplify 0 into 0 1547630252.209 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630252.209 * [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 1547630252.210 * [misc]backup-simplify: Simplify (+ (* (* (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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630252.210 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.210 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.210 * [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 1547630252.210 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of k in n 1547630252.210 * [misc]backup-simplify: Simplify k into k 1547630252.210 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.210 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.210 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.210 * [misc]backup-simplify: Simplify PI into PI 1547630252.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.210 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.211 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.211 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630252.211 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.211 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of k in n 1547630252.211 * [misc]backup-simplify: Simplify k into k 1547630252.211 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.211 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.211 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.211 * [misc]backup-simplify: Simplify 2 into 2 1547630252.211 * [misc]taylor: Taking taylor expansion of n in n 1547630252.211 * [misc]backup-simplify: Simplify 0 into 0 1547630252.211 * [misc]backup-simplify: Simplify 1 into 1 1547630252.211 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.212 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.212 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.212 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.212 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.212 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.212 * [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))) 1547630252.212 * [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)))) 1547630252.213 * [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))))) 1547630252.213 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630252.213 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.214 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630252.215 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (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)) 3)) (+ (* (- (* +nan.0 (* (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 (* (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))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1547630252.215 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1547630252.215 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1547630252.215 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1547630252.215 * [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 1547630252.215 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.215 * [misc]taylor: Taking taylor expansion of k in n 1547630252.215 * [misc]backup-simplify: Simplify k into k 1547630252.215 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.216 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.216 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.216 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.216 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.216 * [misc]backup-simplify: Simplify -2 into -2 1547630252.216 * [misc]taylor: Taking taylor expansion of n in n 1547630252.216 * [misc]backup-simplify: Simplify 0 into 0 1547630252.216 * [misc]backup-simplify: Simplify 1 into 1 1547630252.216 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.216 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.216 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.216 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.216 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.216 * [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))) 1547630252.217 * [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)))) 1547630252.217 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.217 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of k in n 1547630252.217 * [misc]backup-simplify: Simplify k into k 1547630252.217 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.217 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.217 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.217 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.217 * [misc]backup-simplify: Simplify PI into PI 1547630252.217 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.217 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.217 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.218 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630252.218 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.218 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630252.218 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630252.218 * [misc]taylor: Taking taylor expansion of -1 in n 1547630252.218 * [misc]backup-simplify: Simplify -1 into -1 1547630252.218 * [misc]taylor: Taking taylor expansion of k in n 1547630252.218 * [misc]backup-simplify: Simplify k into k 1547630252.218 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630252.218 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630252.218 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630252.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630252.218 * [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))) 1547630252.219 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1547630252.219 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1547630252.219 * [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 1547630252.219 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.219 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of k in k 1547630252.219 * [misc]backup-simplify: Simplify 0 into 0 1547630252.219 * [misc]backup-simplify: Simplify 1 into 1 1547630252.219 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.219 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.219 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630252.219 * [misc]taylor: Taking taylor expansion of -2 in k 1547630252.219 * [misc]backup-simplify: Simplify -2 into -2 1547630252.219 * [misc]taylor: Taking taylor expansion of n in k 1547630252.219 * [misc]backup-simplify: Simplify n into n 1547630252.219 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630252.219 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630252.219 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.219 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.220 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630252.220 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.220 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.220 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.220 * [misc]taylor: Taking taylor expansion of k in k 1547630252.220 * [misc]backup-simplify: Simplify 0 into 0 1547630252.220 * [misc]backup-simplify: Simplify 1 into 1 1547630252.221 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.221 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.221 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.221 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.221 * [misc]backup-simplify: Simplify PI into PI 1547630252.221 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.221 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.221 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.221 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.222 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.222 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630252.222 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630252.222 * [misc]taylor: Taking taylor expansion of -1 in k 1547630252.222 * [misc]backup-simplify: Simplify -1 into -1 1547630252.222 * [misc]taylor: Taking taylor expansion of k in k 1547630252.222 * [misc]backup-simplify: Simplify 0 into 0 1547630252.222 * [misc]backup-simplify: Simplify 1 into 1 1547630252.222 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630252.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.222 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630252.222 * [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))) 1547630252.223 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1547630252.223 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1547630252.223 * [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 1547630252.223 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of k in k 1547630252.223 * [misc]backup-simplify: Simplify 0 into 0 1547630252.223 * [misc]backup-simplify: Simplify 1 into 1 1547630252.223 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.223 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630252.223 * [misc]taylor: Taking taylor expansion of -2 in k 1547630252.223 * [misc]backup-simplify: Simplify -2 into -2 1547630252.223 * [misc]taylor: Taking taylor expansion of n in k 1547630252.223 * [misc]backup-simplify: Simplify n into n 1547630252.223 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630252.223 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630252.223 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.223 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.223 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630252.224 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.224 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of k in k 1547630252.224 * [misc]backup-simplify: Simplify 0 into 0 1547630252.224 * [misc]backup-simplify: Simplify 1 into 1 1547630252.224 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.224 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630252.224 * [misc]taylor: Taking taylor expansion of PI in k 1547630252.224 * [misc]backup-simplify: Simplify PI into PI 1547630252.224 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.224 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.224 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.225 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630252.225 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.225 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630252.225 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630252.225 * [misc]taylor: Taking taylor expansion of -1 in k 1547630252.225 * [misc]backup-simplify: Simplify -1 into -1 1547630252.225 * [misc]taylor: Taking taylor expansion of k in k 1547630252.225 * [misc]backup-simplify: Simplify 0 into 0 1547630252.225 * [misc]backup-simplify: Simplify 1 into 1 1547630252.225 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630252.225 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.225 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630252.226 * [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))) 1547630252.226 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1547630252.226 * [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 1547630252.226 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.226 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.226 * [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 1547630252.226 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.226 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of k in n 1547630252.226 * [misc]backup-simplify: Simplify k into k 1547630252.226 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.226 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.226 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.226 * [misc]backup-simplify: Simplify -2 into -2 1547630252.226 * [misc]taylor: Taking taylor expansion of n in n 1547630252.226 * [misc]backup-simplify: Simplify 0 into 0 1547630252.226 * [misc]backup-simplify: Simplify 1 into 1 1547630252.226 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.227 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.227 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.227 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.227 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.227 * [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))) 1547630252.227 * [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)))) 1547630252.227 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.227 * [misc]taylor: Taking taylor expansion of k in n 1547630252.227 * [misc]backup-simplify: Simplify k into k 1547630252.228 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.228 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.228 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.228 * [misc]backup-simplify: Simplify PI into PI 1547630252.228 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.228 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.228 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.228 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630252.228 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.229 * [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))) 1547630252.229 * [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)))) 1547630252.229 * [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)))) 1547630252.229 * [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 1547630252.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630252.230 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.231 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1547630252.231 * [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 1547630252.231 * [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 1547630252.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.231 * [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 1547630252.231 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of k in n 1547630252.231 * [misc]backup-simplify: Simplify k into k 1547630252.231 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.231 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.231 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.231 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.231 * [misc]backup-simplify: Simplify -2 into -2 1547630252.231 * [misc]taylor: Taking taylor expansion of n in n 1547630252.231 * [misc]backup-simplify: Simplify 0 into 0 1547630252.231 * [misc]backup-simplify: Simplify 1 into 1 1547630252.231 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.232 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.232 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.232 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.232 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.232 * [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))) 1547630252.233 * [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)))) 1547630252.233 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of k in n 1547630252.233 * [misc]backup-simplify: Simplify k into k 1547630252.233 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.233 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.233 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.233 * [misc]backup-simplify: Simplify PI into PI 1547630252.234 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.234 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.234 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.234 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630252.234 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.235 * [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))) 1547630252.235 * [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)))) 1547630252.236 * [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))))) 1547630252.236 * [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))))) 1547630252.239 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630252.239 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.239 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.239 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.240 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547630252.241 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.242 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630252.245 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630252.245 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.246 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.246 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630252.247 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.248 * [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 1547630252.249 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1547630252.249 * [misc]backup-simplify: Simplify 0 into 0 1547630252.249 * [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 1547630252.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630252.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630252.252 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1547630252.252 * [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 1547630252.252 * [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 1547630252.252 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.252 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.252 * [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 1547630252.253 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of k in n 1547630252.253 * [misc]backup-simplify: Simplify k into k 1547630252.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.253 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.253 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.253 * [misc]backup-simplify: Simplify -2 into -2 1547630252.253 * [misc]taylor: Taking taylor expansion of n in n 1547630252.253 * [misc]backup-simplify: Simplify 0 into 0 1547630252.253 * [misc]backup-simplify: Simplify 1 into 1 1547630252.253 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.253 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.254 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.254 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.254 * [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))) 1547630252.255 * [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)))) 1547630252.255 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of k in n 1547630252.255 * [misc]backup-simplify: Simplify k into k 1547630252.255 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.255 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.255 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630252.255 * [misc]taylor: Taking taylor expansion of PI in n 1547630252.255 * [misc]backup-simplify: Simplify PI into PI 1547630252.256 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630252.256 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.256 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.256 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630252.256 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.257 * [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))) 1547630252.257 * [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)))) 1547630252.258 * [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))))) 1547630252.258 * [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))))) 1547630252.261 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (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 (* (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 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1547630252.261 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1547630252.261 * [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)) 1547630252.261 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1547630252.261 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.261 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630252.261 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.261 * [misc]taylor: Taking taylor expansion of k in n 1547630252.262 * [misc]backup-simplify: Simplify k into k 1547630252.262 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.262 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.262 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.262 * [misc]backup-simplify: Simplify 2 into 2 1547630252.262 * [misc]taylor: Taking taylor expansion of n in n 1547630252.262 * [misc]backup-simplify: Simplify 0 into 0 1547630252.262 * [misc]backup-simplify: Simplify 1 into 1 1547630252.262 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.262 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.262 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.262 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630252.262 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630252.263 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630252.263 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.263 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630252.263 * [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)))) 1547630252.264 * [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))))) 1547630252.264 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630252.264 * [misc]taylor: Taking taylor expansion of k in n 1547630252.264 * [misc]backup-simplify: Simplify k into k 1547630252.264 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630252.264 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630252.264 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.264 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.264 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.264 * [misc]taylor: Taking taylor expansion of k in k 1547630252.264 * [misc]backup-simplify: Simplify 0 into 0 1547630252.264 * [misc]backup-simplify: Simplify 1 into 1 1547630252.264 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630252.265 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630252.265 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.265 * [misc]backup-simplify: Simplify 2 into 2 1547630252.265 * [misc]taylor: Taking taylor expansion of n in k 1547630252.265 * [misc]backup-simplify: Simplify n into n 1547630252.265 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630252.265 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630252.265 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.265 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.265 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.265 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630252.265 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630252.266 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1547630252.266 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630252.266 * [misc]taylor: Taking taylor expansion of k in k 1547630252.266 * [misc]backup-simplify: Simplify 0 into 0 1547630252.266 * [misc]backup-simplify: Simplify 1 into 1 1547630252.266 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.266 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.266 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.267 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.267 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.267 * [misc]taylor: Taking taylor expansion of k in k 1547630252.267 * [misc]backup-simplify: Simplify 0 into 0 1547630252.267 * [misc]backup-simplify: Simplify 1 into 1 1547630252.267 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630252.267 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.267 * [misc]backup-simplify: Simplify 2 into 2 1547630252.267 * [misc]taylor: Taking taylor expansion of n in k 1547630252.267 * [misc]backup-simplify: Simplify n into n 1547630252.267 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630252.267 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630252.267 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630252.268 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.268 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.268 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630252.268 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630252.268 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1547630252.268 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630252.268 * [misc]taylor: Taking taylor expansion of k in k 1547630252.268 * [misc]backup-simplify: Simplify 0 into 0 1547630252.268 * [misc]backup-simplify: Simplify 1 into 1 1547630252.268 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.269 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.269 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1547630252.269 * [misc]taylor: Taking taylor expansion of 0 in n 1547630252.269 * [misc]backup-simplify: Simplify 0 into 0 1547630252.269 * [misc]backup-simplify: Simplify 0 into 0 1547630252.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547630252.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547630252.270 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630252.271 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.271 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.271 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547630252.271 * [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)))) 1547630252.272 * [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)))) 1547630252.273 * [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)))) 1547630252.273 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1547630252.273 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1547630252.273 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.273 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.273 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1547630252.273 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547630252.273 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547630252.273 * [misc]taylor: Taking taylor expansion of n in n 1547630252.273 * [misc]backup-simplify: Simplify 0 into 0 1547630252.273 * [misc]backup-simplify: Simplify 1 into 1 1547630252.273 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.274 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.274 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.274 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630252.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.274 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630252.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630252.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.275 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547630252.276 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1547630252.276 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.277 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.277 * [misc]backup-simplify: Simplify 0 into 0 1547630252.278 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.278 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547630252.279 * [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 1547630252.279 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630252.279 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.279 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.279 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547630252.280 * [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))) 1547630252.281 * [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))))) 1547630252.284 * [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)))))) 1547630252.284 * [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 1547630252.284 * [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 1547630252.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.284 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.284 * [misc]backup-simplify: Simplify 2 into 2 1547630252.284 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630252.284 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630252.284 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630252.284 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.284 * [misc]backup-simplify: Simplify 2 into 2 1547630252.284 * [misc]taylor: Taking taylor expansion of n in n 1547630252.284 * [misc]backup-simplify: Simplify 0 into 0 1547630252.284 * [misc]backup-simplify: Simplify 1 into 1 1547630252.284 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630252.284 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630252.285 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.285 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1547630252.285 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630252.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.285 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630252.285 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630252.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547630252.285 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547630252.285 * [misc]taylor: Taking taylor expansion of n in n 1547630252.285 * [misc]backup-simplify: Simplify 0 into 0 1547630252.285 * [misc]backup-simplify: Simplify 1 into 1 1547630252.285 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.285 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.285 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.286 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.286 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.286 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of n in n 1547630252.286 * [misc]backup-simplify: Simplify 0 into 0 1547630252.286 * [misc]backup-simplify: Simplify 1 into 1 1547630252.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.286 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.286 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547630252.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.286 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547630252.286 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547630252.287 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.287 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1547630252.287 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1547630252.288 * [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))) 1547630252.288 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630252.288 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1547630252.288 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630252.290 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630252.290 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1547630252.291 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1547630252.292 * [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))))))) 1547630252.292 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1547630252.294 * [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))))))) 1547630252.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.295 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547630252.296 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1547630252.296 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.298 * [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))))))))) 1547630252.300 * [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))))))) 1547630252.302 * [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))))))) 1547630252.303 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1547630252.304 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630252.305 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.307 * [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))) 1547630252.308 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.309 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547630252.314 * [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)))))))))))) 1547630252.315 * [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))) 1547630252.315 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1547630252.315 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.315 * [misc]taylor: Taking taylor expansion of k in n 1547630252.315 * [misc]backup-simplify: Simplify k into k 1547630252.315 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.316 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.316 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.316 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.316 * [misc]backup-simplify: Simplify 2 into 2 1547630252.316 * [misc]taylor: Taking taylor expansion of n in n 1547630252.316 * [misc]backup-simplify: Simplify 0 into 0 1547630252.316 * [misc]backup-simplify: Simplify 1 into 1 1547630252.316 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.316 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.316 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.316 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.316 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.317 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.317 * [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))) 1547630252.317 * [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)))) 1547630252.318 * [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))))) 1547630252.318 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630252.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.318 * [misc]taylor: Taking taylor expansion of k in n 1547630252.318 * [misc]backup-simplify: Simplify k into k 1547630252.318 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.318 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630252.318 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.318 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630252.318 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.319 * [misc]taylor: Taking taylor expansion of k in k 1547630252.319 * [misc]backup-simplify: Simplify 0 into 0 1547630252.319 * [misc]backup-simplify: Simplify 1 into 1 1547630252.319 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.319 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630252.319 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630252.319 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.319 * [misc]backup-simplify: Simplify 2 into 2 1547630252.319 * [misc]taylor: Taking taylor expansion of n in k 1547630252.319 * [misc]backup-simplify: Simplify n into n 1547630252.319 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630252.319 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630252.319 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.320 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.320 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.320 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630252.320 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.320 * [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))))) 1547630252.320 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630252.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.320 * [misc]taylor: Taking taylor expansion of k in k 1547630252.320 * [misc]backup-simplify: Simplify 0 into 0 1547630252.320 * [misc]backup-simplify: Simplify 1 into 1 1547630252.320 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.321 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.321 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547630252.321 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547630252.321 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630252.321 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630252.321 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630252.321 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630252.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.322 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.322 * [misc]taylor: Taking taylor expansion of k in k 1547630252.322 * [misc]backup-simplify: Simplify 0 into 0 1547630252.322 * [misc]backup-simplify: Simplify 1 into 1 1547630252.322 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.322 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630252.322 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630252.322 * [misc]taylor: Taking taylor expansion of 2 in k 1547630252.322 * [misc]backup-simplify: Simplify 2 into 2 1547630252.322 * [misc]taylor: Taking taylor expansion of n in k 1547630252.322 * [misc]backup-simplify: Simplify n into n 1547630252.322 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630252.322 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630252.322 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.323 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630252.323 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630252.323 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630252.323 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630252.323 * [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))))) 1547630252.323 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630252.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.323 * [misc]taylor: Taking taylor expansion of k in k 1547630252.323 * [misc]backup-simplify: Simplify 0 into 0 1547630252.323 * [misc]backup-simplify: Simplify 1 into 1 1547630252.324 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.324 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.324 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630252.324 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547630252.324 * [misc]taylor: Taking taylor expansion of 0 in n 1547630252.325 * [misc]backup-simplify: Simplify 0 into 0 1547630252.325 * [misc]backup-simplify: Simplify 0 into 0 1547630252.325 * [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 1547630252.325 * [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))))))) 1547630252.325 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.325 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.325 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.325 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.325 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630252.325 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of k in n 1547630252.326 * [misc]backup-simplify: Simplify k into k 1547630252.326 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.326 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.326 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.326 * [misc]backup-simplify: Simplify 2 into 2 1547630252.326 * [misc]taylor: Taking taylor expansion of n in n 1547630252.326 * [misc]backup-simplify: Simplify 0 into 0 1547630252.326 * [misc]backup-simplify: Simplify 1 into 1 1547630252.326 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.326 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.327 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.327 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.327 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.327 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.327 * [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))) 1547630252.328 * [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)))) 1547630252.328 * [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))))) 1547630252.328 * [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))))) 1547630252.329 * [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))))))) 1547630252.329 * [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))))))) 1547630252.329 * [misc]backup-simplify: Simplify 0 into 0 1547630252.330 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630252.331 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.331 * [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 1547630252.332 * [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))))))) 1547630252.332 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.332 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.332 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.332 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of k in n 1547630252.332 * [misc]backup-simplify: Simplify k into k 1547630252.332 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.332 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.332 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.332 * [misc]backup-simplify: Simplify 2 into 2 1547630252.333 * [misc]taylor: Taking taylor expansion of n in n 1547630252.333 * [misc]backup-simplify: Simplify 0 into 0 1547630252.333 * [misc]backup-simplify: Simplify 1 into 1 1547630252.333 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.333 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.333 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.333 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.333 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.334 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.334 * [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))) 1547630252.334 * [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)))) 1547630252.335 * [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))))) 1547630252.335 * [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))))) 1547630252.335 * [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))))))) 1547630252.336 * [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))))))) 1547630252.336 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630252.338 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630252.338 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.338 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.338 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.338 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.338 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630252.339 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.340 * [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 1547630252.340 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1547630252.340 * [misc]backup-simplify: Simplify (- 0) into 0 1547630252.340 * [misc]backup-simplify: Simplify 0 into 0 1547630252.340 * [misc]backup-simplify: Simplify 0 into 0 1547630252.340 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630252.341 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630252.341 * [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 1547630252.342 * [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))))))) 1547630252.342 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.342 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.342 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.342 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of k in n 1547630252.342 * [misc]backup-simplify: Simplify k into k 1547630252.342 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.342 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630252.342 * [misc]taylor: Taking taylor expansion of 2 in n 1547630252.342 * [misc]backup-simplify: Simplify 2 into 2 1547630252.342 * [misc]taylor: Taking taylor expansion of n in n 1547630252.342 * [misc]backup-simplify: Simplify 0 into 0 1547630252.342 * [misc]backup-simplify: Simplify 1 into 1 1547630252.342 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630252.342 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630252.342 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.343 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630252.343 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630252.343 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630252.343 * [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))) 1547630252.343 * [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)))) 1547630252.343 * [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))))) 1547630252.344 * [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))))) 1547630252.344 * [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))))))) 1547630252.344 * [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))))))) 1547630252.345 * [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))))))))))) 1547630252.345 * [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))) 1547630252.345 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1547630252.345 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630252.345 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630252.345 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630252.345 * [misc]taylor: Taking taylor expansion of -1 in n 1547630252.345 * [misc]backup-simplify: Simplify -1 into -1 1547630252.345 * [misc]taylor: Taking taylor expansion of k in n 1547630252.345 * [misc]backup-simplify: Simplify k into k 1547630252.345 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630252.346 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630252.346 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630252.346 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630252.346 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of k in n 1547630252.346 * [misc]backup-simplify: Simplify k into k 1547630252.346 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.346 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.346 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.346 * [misc]backup-simplify: Simplify -2 into -2 1547630252.346 * [misc]taylor: Taking taylor expansion of n in n 1547630252.346 * [misc]backup-simplify: Simplify 0 into 0 1547630252.346 * [misc]backup-simplify: Simplify 1 into 1 1547630252.346 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.346 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.346 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.346 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.347 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.347 * [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))) 1547630252.347 * [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)))) 1547630252.347 * [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))))) 1547630252.347 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547630252.347 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630252.347 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630252.347 * [misc]taylor: Taking taylor expansion of -1 in k 1547630252.347 * [misc]backup-simplify: Simplify -1 into -1 1547630252.347 * [misc]taylor: Taking taylor expansion of k in k 1547630252.347 * [misc]backup-simplify: Simplify 0 into 0 1547630252.347 * [misc]backup-simplify: Simplify 1 into 1 1547630252.348 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630252.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.348 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630252.348 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of k in k 1547630252.348 * [misc]backup-simplify: Simplify 0 into 0 1547630252.348 * [misc]backup-simplify: Simplify 1 into 1 1547630252.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.348 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630252.348 * [misc]taylor: Taking taylor expansion of -2 in k 1547630252.348 * [misc]backup-simplify: Simplify -2 into -2 1547630252.348 * [misc]taylor: Taking taylor expansion of n in k 1547630252.348 * [misc]backup-simplify: Simplify n into n 1547630252.348 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630252.348 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630252.349 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.349 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.349 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630252.349 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.349 * [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))) 1547630252.349 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547630252.349 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630252.349 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630252.349 * [misc]taylor: Taking taylor expansion of -1 in k 1547630252.349 * [misc]backup-simplify: Simplify -1 into -1 1547630252.349 * [misc]taylor: Taking taylor expansion of k in k 1547630252.349 * [misc]backup-simplify: Simplify 0 into 0 1547630252.349 * [misc]backup-simplify: Simplify 1 into 1 1547630252.349 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630252.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630252.350 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630252.350 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.350 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of k in k 1547630252.350 * [misc]backup-simplify: Simplify 0 into 0 1547630252.350 * [misc]backup-simplify: Simplify 1 into 1 1547630252.350 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630252.350 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630252.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.350 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630252.350 * [misc]taylor: Taking taylor expansion of -2 in k 1547630252.350 * [misc]backup-simplify: Simplify -2 into -2 1547630252.350 * [misc]taylor: Taking taylor expansion of n in k 1547630252.350 * [misc]backup-simplify: Simplify n into n 1547630252.350 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630252.350 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630252.351 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630252.351 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630252.351 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630252.351 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630252.351 * [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))) 1547630252.351 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.351 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.352 * [misc]taylor: Taking taylor expansion of k in n 1547630252.352 * [misc]backup-simplify: Simplify k into k 1547630252.352 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.352 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.352 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.352 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.352 * [misc]backup-simplify: Simplify -2 into -2 1547630252.352 * [misc]taylor: Taking taylor expansion of n in n 1547630252.352 * [misc]backup-simplify: Simplify 0 into 0 1547630252.352 * [misc]backup-simplify: Simplify 1 into 1 1547630252.352 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.352 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.352 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.352 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.352 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.352 * [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))) 1547630252.353 * [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)))) 1547630252.353 * [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))))) 1547630252.353 * [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))))) 1547630252.353 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630252.354 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630252.355 * [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))))) 1547630252.355 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.355 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.355 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of k in n 1547630252.355 * [misc]backup-simplify: Simplify k into k 1547630252.355 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.355 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.355 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.355 * [misc]backup-simplify: Simplify -2 into -2 1547630252.355 * [misc]taylor: Taking taylor expansion of n in n 1547630252.355 * [misc]backup-simplify: Simplify 0 into 0 1547630252.355 * [misc]backup-simplify: Simplify 1 into 1 1547630252.355 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.355 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.355 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.355 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.356 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.356 * [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))) 1547630252.356 * [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)))) 1547630252.356 * [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))))) 1547630252.356 * [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))))) 1547630252.357 * [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))))))) 1547630252.357 * [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))))))) 1547630252.357 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630252.359 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630252.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630252.359 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630252.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630252.359 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.359 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630252.360 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630252.361 * [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 1547630252.361 * [misc]backup-simplify: Simplify 0 into 0 1547630252.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630252.362 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630252.362 * [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))))) 1547630252.362 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630252.362 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630252.362 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630252.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630252.363 * [misc]taylor: Taking taylor expansion of k in n 1547630252.363 * [misc]backup-simplify: Simplify k into k 1547630252.363 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630252.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630252.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630252.363 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630252.363 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630252.363 * [misc]taylor: Taking taylor expansion of -2 in n 1547630252.363 * [misc]backup-simplify: Simplify -2 into -2 1547630252.363 * [misc]taylor: Taking taylor expansion of n in n 1547630252.363 * [misc]backup-simplify: Simplify 0 into 0 1547630252.363 * [misc]backup-simplify: Simplify 1 into 1 1547630252.363 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630252.363 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630252.363 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630252.363 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630252.363 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630252.364 * [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))) 1547630252.364 * [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)))) 1547630252.364 * [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))))) 1547630252.365 * [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))))) 1547630252.365 * [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))))))) 1547630252.366 * [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))))))) 1547630252.367 * [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))))))))) 1547630252.367 * * * [misc]progress: simplifying candidates 1547630252.367 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1547630252.368 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1547630252.368 * * [misc]simplify: iters left: 6 (9 enodes) 1547630252.371 * * [misc]simplify: iters left: 5 (16 enodes) 1547630252.376 * * [misc]simplify: iters left: 4 (32 enodes) 1547630252.388 * * [misc]simplify: iters left: 3 (68 enodes) 1547630252.416 * * [misc]simplify: iters left: 2 (171 enodes) 1547630252.479 * * [misc]simplify: iters left: 1 (342 enodes) 1547630252.597 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1547630252.597 * [misc]simplify: Simplified (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))))))) 1547630252.597 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1547630252.598 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1547630252.598 * [enter]simplify: Simplifying (* n 2) 1547630252.598 * * [misc]simplify: iters left: 2 (3 enodes) 1547630252.598 * * [misc]simplify: iters left: 1 (4 enodes) 1547630252.599 * [exit]simplify: Simplified to (* n 2) 1547630252.599 * [misc]simplify: Simplified (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))))))) 1547630252.599 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1547630252.599 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547630252.599 * * [misc]simplify: iters left: 3 (6 enodes) 1547630252.600 * * [misc]simplify: iters left: 2 (7 enodes) 1547630252.601 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547630252.601 * [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)))))) 1547630252.601 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1547630252.601 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630252.601 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.602 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.603 * * [misc]simplify: iters left: 3 (11 enodes) 1547630252.604 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630252.604 * [misc]simplify: Simplified (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))))))) 1547630252.604 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1547630252.604 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630252.604 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.605 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.607 * * [misc]simplify: iters left: 3 (11 enodes) 1547630252.609 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630252.609 * [misc]simplify: Simplified (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))))))) 1547630252.609 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1547630252.610 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630252.610 * * [misc]simplify: iters left: 4 (5 enodes) 1547630252.611 * * [misc]simplify: iters left: 3 (7 enodes) 1547630252.613 * * [misc]simplify: iters left: 2 (10 enodes) 1547630252.616 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630252.616 * [misc]simplify: Simplified (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)))))) 1547630252.616 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1547630252.616 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630252.616 * * [misc]simplify: iters left: 5 (7 enodes) 1547630252.618 * * [misc]simplify: iters left: 4 (10 enodes) 1547630252.621 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630252.621 * [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))))))) 1547630252.621 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1547630252.621 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630252.621 * * [misc]simplify: iters left: 5 (7 enodes) 1547630252.623 * * [misc]simplify: iters left: 4 (10 enodes) 1547630252.626 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630252.626 * [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))))))) 1547630252.626 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1547630252.626 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1547630252.626 * * [misc]simplify: iters left: 5 (7 enodes) 1547630252.628 * * [misc]simplify: iters left: 4 (9 enodes) 1547630252.631 * * [misc]simplify: iters left: 3 (12 enodes) 1547630252.634 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547630252.634 * [misc]simplify: Simplified (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))))))) 1547630252.634 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1547630252.634 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1547630252.634 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1547630252.634 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1547630252.634 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1547630252.634 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1547630252.635 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1547630252.635 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1547630252.635 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1547630252.635 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1547630252.635 * * [misc]simplify: iters left: 3 (5 enodes) 1547630252.636 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1547630252.636 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.636 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1547630252.637 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630252.637 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.639 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.641 * * [misc]simplify: iters left: 3 (11 enodes) 1547630252.644 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630252.644 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.644 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1547630252.644 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630252.644 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.646 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.648 * * [misc]simplify: iters left: 3 (11 enodes) 1547630252.651 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630252.651 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.651 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1547630252.651 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630252.651 * * [misc]simplify: iters left: 4 (5 enodes) 1547630252.653 * * [misc]simplify: iters left: 3 (7 enodes) 1547630252.655 * * [misc]simplify: iters left: 2 (10 enodes) 1547630252.657 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630252.657 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.657 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1547630252.657 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547630252.658 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.662 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.664 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547630252.664 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.664 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1547630252.664 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547630252.664 * * [misc]simplify: iters left: 5 (6 enodes) 1547630252.666 * * [misc]simplify: iters left: 4 (8 enodes) 1547630252.668 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547630252.668 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630252.668 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1547630252.668 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1547630252.668 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1547630252.668 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1547630252.669 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1547630252.669 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1547630252.669 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1547630252.669 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1547630252.669 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1547630252.669 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630252.669 * * [misc]simplify: iters left: 6 (18 enodes) 1547630252.676 * * [misc]simplify: iters left: 5 (36 enodes) 1547630252.688 * * [misc]simplify: iters left: 4 (90 enodes) 1547630252.728 * * [misc]simplify: iters left: 3 (297 enodes) 1547630252.863 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630252.863 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630252.863 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1547630252.863 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630252.863 * * [misc]simplify: iters left: 6 (18 enodes) 1547630252.866 * * [misc]simplify: iters left: 5 (36 enodes) 1547630252.876 * * [misc]simplify: iters left: 4 (90 enodes) 1547630252.900 * * [misc]simplify: iters left: 3 (297 enodes) 1547630253.048 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630253.048 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630253.048 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1547630253.049 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630253.049 * * [misc]simplify: iters left: 6 (18 enodes) 1547630253.054 * * [misc]simplify: iters left: 5 (34 enodes) 1547630253.064 * * [misc]simplify: iters left: 4 (78 enodes) 1547630253.091 * * [misc]simplify: iters left: 3 (217 enodes) 1547630253.176 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630253.176 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630253.176 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1547630253.176 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630253.177 * * [misc]simplify: iters left: 6 (17 enodes) 1547630253.182 * * [misc]simplify: iters left: 5 (30 enodes) 1547630253.192 * * [misc]simplify: iters left: 4 (65 enodes) 1547630253.214 * * [misc]simplify: iters left: 3 (170 enodes) 1547630253.247 * * [misc]simplify: iters left: 2 (315 enodes) 1547630253.373 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1547630253.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1547630253.373 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1547630253.374 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630253.374 * * [misc]simplify: iters left: 6 (18 enodes) 1547630253.377 * * [misc]simplify: iters left: 5 (33 enodes) 1547630253.382 * * [misc]simplify: iters left: 4 (68 enodes) 1547630253.400 * * [misc]simplify: iters left: 3 (204 enodes) 1547630253.478 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1547630253.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1547630253.479 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1547630253.479 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630253.479 * * [misc]simplify: iters left: 6 (18 enodes) 1547630253.485 * * [misc]simplify: iters left: 5 (33 enodes) 1547630253.495 * * [misc]simplify: iters left: 4 (68 enodes) 1547630253.522 * * [misc]simplify: iters left: 3 (204 enodes) 1547630253.621 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1547630253.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1547630253.621 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1547630253.622 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630253.622 * * [misc]simplify: iters left: 6 (18 enodes) 1547630253.627 * * [misc]simplify: iters left: 5 (31 enodes) 1547630253.637 * * [misc]simplify: iters left: 4 (56 enodes) 1547630253.655 * * [misc]simplify: iters left: 3 (127 enodes) 1547630253.718 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1547630253.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1547630253.718 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1547630253.718 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630253.718 * * [misc]simplify: iters left: 6 (17 enodes) 1547630253.723 * * [misc]simplify: iters left: 5 (27 enodes) 1547630253.731 * * [misc]simplify: iters left: 4 (44 enodes) 1547630253.745 * * [misc]simplify: iters left: 3 (84 enodes) 1547630253.778 * * [misc]simplify: iters left: 2 (222 enodes) 1547630253.922 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1547630253.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1547630253.922 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1547630253.922 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630253.922 * * [misc]simplify: iters left: 6 (19 enodes) 1547630253.929 * * [misc]simplify: iters left: 5 (38 enodes) 1547630253.941 * * [misc]simplify: iters left: 4 (77 enodes) 1547630253.971 * * [misc]simplify: iters left: 3 (215 enodes) 1547630254.102 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630254.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630254.102 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1547630254.102 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630254.102 * * [misc]simplify: iters left: 6 (19 enodes) 1547630254.106 * * [misc]simplify: iters left: 5 (38 enodes) 1547630254.112 * * [misc]simplify: iters left: 4 (77 enodes) 1547630254.128 * * [misc]simplify: iters left: 3 (215 enodes) 1547630254.219 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630254.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630254.219 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1547630254.219 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630254.219 * * [misc]simplify: iters left: 6 (19 enodes) 1547630254.226 * * [misc]simplify: iters left: 5 (36 enodes) 1547630254.237 * * [misc]simplify: iters left: 4 (65 enodes) 1547630254.257 * * [misc]simplify: iters left: 3 (130 enodes) 1547630254.320 * * [misc]simplify: iters left: 2 (462 enodes) 1547630254.753 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1547630254.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1547630254.753 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1547630254.753 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630254.753 * * [misc]simplify: iters left: 6 (18 enodes) 1547630254.759 * * [misc]simplify: iters left: 5 (32 enodes) 1547630254.768 * * [misc]simplify: iters left: 4 (47 enodes) 1547630254.774 * * [misc]simplify: iters left: 3 (73 enodes) 1547630254.788 * * [misc]simplify: iters left: 2 (156 enodes) 1547630254.906 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1547630254.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1547630254.906 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1547630254.907 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630254.907 * * [misc]simplify: iters left: 6 (19 enodes) 1547630254.913 * * [misc]simplify: iters left: 5 (40 enodes) 1547630254.925 * * [misc]simplify: iters left: 4 (82 enodes) 1547630254.956 * * [misc]simplify: iters left: 3 (210 enodes) 1547630255.077 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630255.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630255.077 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1547630255.078 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547630255.078 * * [misc]simplify: iters left: 6 (19 enodes) 1547630255.085 * * [misc]simplify: iters left: 5 (40 enodes) 1547630255.097 * * [misc]simplify: iters left: 4 (82 enodes) 1547630255.115 * * [misc]simplify: iters left: 3 (210 enodes) 1547630255.215 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630255.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630255.215 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1547630255.216 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630255.216 * * [misc]simplify: iters left: 6 (19 enodes) 1547630255.223 * * [misc]simplify: iters left: 5 (38 enodes) 1547630255.234 * * [misc]simplify: iters left: 4 (70 enodes) 1547630255.256 * * [misc]simplify: iters left: 3 (133 enodes) 1547630255.354 * * [misc]simplify: iters left: 2 (490 enodes) 1547630255.721 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1547630255.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1547630255.721 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1547630255.721 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630255.721 * * [misc]simplify: iters left: 6 (18 enodes) 1547630255.724 * * [misc]simplify: iters left: 5 (34 enodes) 1547630255.730 * * [misc]simplify: iters left: 4 (56 enodes) 1547630255.737 * * [misc]simplify: iters left: 3 (83 enodes) 1547630255.769 * * [misc]simplify: iters left: 2 (189 enodes) 1547630255.856 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1547630255.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1547630255.856 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1547630255.856 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1547630255.856 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1547630255.856 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 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)))))) 1547630255.856 * * [misc]simplify: iters left: 6 (22 enodes) 1547630255.861 * * [misc]simplify: iters left: 5 (49 enodes) 1547630255.873 * * [misc]simplify: iters left: 4 (146 enodes) 1547630255.933 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630255.934 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630255.934 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1547630255.934 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 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)))))) 1547630255.934 * * [misc]simplify: iters left: 6 (20 enodes) 1547630255.942 * * [misc]simplify: iters left: 5 (48 enodes) 1547630255.958 * * [misc]simplify: iters left: 4 (131 enodes) 1547630256.028 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630256.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630256.028 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1547630256.029 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1547630256.029 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1547630256.029 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1547630256.029 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1547630256.029 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 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))))))) 1547630256.029 * * [misc]simplify: iters left: 6 (20 enodes) 1547630256.037 * * [misc]simplify: iters left: 5 (33 enodes) 1547630256.047 * * [misc]simplify: iters left: 4 (46 enodes) 1547630256.060 * * [misc]simplify: iters left: 3 (53 enodes) 1547630256.072 * * [misc]simplify: iters left: 2 (56 enodes) 1547630256.086 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630256.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630256.086 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630256.086 * * [misc]simplify: iters left: 6 (18 enodes) 1547630256.092 * * [misc]simplify: iters left: 5 (25 enodes) 1547630256.099 * * [misc]simplify: iters left: 4 (29 enodes) 1547630256.107 * * [misc]simplify: iters left: 3 (33 enodes) 1547630256.115 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630256.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630256.115 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1547630256.115 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630256.115 * * [misc]simplify: iters left: 6 (19 enodes) 1547630256.121 * * [misc]simplify: iters left: 5 (28 enodes) 1547630256.129 * * [misc]simplify: iters left: 4 (34 enodes) 1547630256.138 * * [misc]simplify: iters left: 3 (39 enodes) 1547630256.148 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630256.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630256.148 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630256.148 * * [misc]simplify: iters left: 6 (18 enodes) 1547630256.156 * * [misc]simplify: iters left: 5 (25 enodes) 1547630256.163 * * [misc]simplify: iters left: 4 (29 enodes) 1547630256.171 * * [misc]simplify: iters left: 3 (33 enodes) 1547630256.179 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630256.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630256.179 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1547630256.179 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630256.179 * * [misc]simplify: iters left: 6 (20 enodes) 1547630256.183 * * [misc]simplify: iters left: 5 (34 enodes) 1547630256.187 * * [misc]simplify: iters left: 4 (53 enodes) 1547630256.195 * * [misc]simplify: iters left: 3 (98 enodes) 1547630256.216 * * [misc]simplify: iters left: 2 (155 enodes) 1547630256.259 * * [misc]simplify: iters left: 1 (186 enodes) 1547630256.302 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630256.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630256.303 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630256.303 * * [misc]simplify: iters left: 6 (19 enodes) 1547630256.309 * * [misc]simplify: iters left: 5 (29 enodes) 1547630256.312 * * [misc]simplify: iters left: 4 (34 enodes) 1547630256.317 * * [misc]simplify: iters left: 3 (40 enodes) 1547630256.322 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630256.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630256.322 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1547630256.322 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630256.322 * * [misc]simplify: iters left: 6 (20 enodes) 1547630256.326 * * [misc]simplify: iters left: 5 (34 enodes) 1547630256.330 * * [misc]simplify: iters left: 4 (53 enodes) 1547630256.343 * * [misc]simplify: iters left: 3 (98 enodes) 1547630256.368 * * [misc]simplify: iters left: 2 (155 enodes) 1547630256.399 * * [misc]simplify: iters left: 1 (186 enodes) 1547630256.443 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630256.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630256.443 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630256.444 * * [misc]simplify: iters left: 6 (19 enodes) 1547630256.447 * * [misc]simplify: iters left: 5 (29 enodes) 1547630256.450 * * [misc]simplify: iters left: 4 (34 enodes) 1547630256.459 * * [misc]simplify: iters left: 3 (40 enodes) 1547630256.468 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630256.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630256.468 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1547630256.468 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630256.469 * * [misc]simplify: iters left: 6 (19 enodes) 1547630256.475 * * [misc]simplify: iters left: 5 (31 enodes) 1547630256.484 * * [misc]simplify: iters left: 4 (50 enodes) 1547630256.500 * * [misc]simplify: iters left: 3 (95 enodes) 1547630256.531 * * [misc]simplify: iters left: 2 (150 enodes) 1547630256.587 * * [misc]simplify: iters left: 1 (181 enodes) 1547630256.648 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630256.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630256.648 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630256.649 * * [misc]simplify: iters left: 6 (16 enodes) 1547630256.654 * * [misc]simplify: iters left: 5 (24 enodes) 1547630256.661 * * [misc]simplify: iters left: 4 (31 enodes) 1547630256.669 * * [misc]simplify: iters left: 3 (37 enodes) 1547630256.679 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630256.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630256.680 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1547630256.680 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 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))))))) 1547630256.680 * * [misc]simplify: iters left: 6 (22 enodes) 1547630256.688 * * [misc]simplify: iters left: 5 (39 enodes) 1547630256.699 * * [misc]simplify: iters left: 4 (74 enodes) 1547630256.725 * * [misc]simplify: iters left: 3 (149 enodes) 1547630256.785 * * [misc]simplify: iters left: 2 (277 enodes) 1547630256.903 * * [misc]simplify: iters left: 1 (387 enodes) 1547630257.116 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1547630257.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630257.117 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630257.117 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.123 * * [misc]simplify: iters left: 5 (28 enodes) 1547630257.131 * * [misc]simplify: iters left: 4 (35 enodes) 1547630257.140 * * [misc]simplify: iters left: 3 (41 enodes) 1547630257.147 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547630257.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1547630257.147 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1547630257.147 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630257.147 * * [misc]simplify: iters left: 6 (21 enodes) 1547630257.151 * * [misc]simplify: iters left: 5 (34 enodes) 1547630257.155 * * [misc]simplify: iters left: 4 (53 enodes) 1547630257.164 * * [misc]simplify: iters left: 3 (98 enodes) 1547630257.180 * * [misc]simplify: iters left: 2 (151 enodes) 1547630257.207 * * [misc]simplify: iters left: 1 (184 enodes) 1547630257.247 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630257.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630257.247 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630257.247 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.254 * * [misc]simplify: iters left: 5 (28 enodes) 1547630257.263 * * [misc]simplify: iters left: 4 (35 enodes) 1547630257.270 * * [misc]simplify: iters left: 3 (41 enodes) 1547630257.275 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547630257.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1547630257.275 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1547630257.275 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547630257.276 * * [misc]simplify: iters left: 6 (17 enodes) 1547630257.279 * * [misc]simplify: iters left: 5 (29 enodes) 1547630257.283 * * [misc]simplify: iters left: 4 (51 enodes) 1547630257.291 * * [misc]simplify: iters left: 3 (95 enodes) 1547630257.319 * * [misc]simplify: iters left: 2 (277 enodes) 1547630257.767 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1547630257.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630257.767 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630257.767 * * [misc]simplify: iters left: 6 (18 enodes) 1547630257.770 * * [misc]simplify: iters left: 5 (27 enodes) 1547630257.773 * * [misc]simplify: iters left: 4 (34 enodes) 1547630257.781 * * [misc]simplify: iters left: 3 (40 enodes) 1547630257.790 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630257.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630257.790 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1547630257.790 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630257.791 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.797 * * [misc]simplify: iters left: 5 (31 enodes) 1547630257.805 * * [misc]simplify: iters left: 4 (42 enodes) 1547630257.817 * * [misc]simplify: iters left: 3 (58 enodes) 1547630257.831 * * [misc]simplify: iters left: 2 (70 enodes) 1547630257.848 * * [misc]simplify: iters left: 1 (76 enodes) 1547630257.867 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1547630257.867 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630257.867 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630257.867 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.873 * * [misc]simplify: iters left: 5 (29 enodes) 1547630257.883 * * [misc]simplify: iters left: 4 (34 enodes) 1547630257.892 * * [misc]simplify: iters left: 3 (40 enodes) 1547630257.901 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630257.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630257.901 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1547630257.902 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630257.902 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.909 * * [misc]simplify: iters left: 5 (31 enodes) 1547630257.917 * * [misc]simplify: iters left: 4 (42 enodes) 1547630257.929 * * [misc]simplify: iters left: 3 (58 enodes) 1547630257.937 * * [misc]simplify: iters left: 2 (70 enodes) 1547630257.945 * * [misc]simplify: iters left: 1 (76 enodes) 1547630257.954 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1547630257.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630257.954 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630257.955 * * [misc]simplify: iters left: 6 (19 enodes) 1547630257.958 * * [misc]simplify: iters left: 5 (29 enodes) 1547630257.961 * * [misc]simplify: iters left: 4 (34 enodes) 1547630257.966 * * [misc]simplify: iters left: 3 (40 enodes) 1547630257.970 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630257.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630257.971 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1547630257.971 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630257.971 * * [misc]simplify: iters left: 6 (18 enodes) 1547630257.976 * * [misc]simplify: iters left: 5 (28 enodes) 1547630257.985 * * [misc]simplify: iters left: 4 (39 enodes) 1547630257.996 * * [misc]simplify: iters left: 3 (55 enodes) 1547630258.009 * * [misc]simplify: iters left: 2 (67 enodes) 1547630258.023 * * [misc]simplify: iters left: 1 (73 enodes) 1547630258.032 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630258.032 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630258.032 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630258.032 * * [misc]simplify: iters left: 6 (16 enodes) 1547630258.035 * * [misc]simplify: iters left: 5 (24 enodes) 1547630258.038 * * [misc]simplify: iters left: 4 (31 enodes) 1547630258.042 * * [misc]simplify: iters left: 3 (37 enodes) 1547630258.047 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630258.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630258.047 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1547630258.047 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 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))))))) 1547630258.047 * * [misc]simplify: iters left: 6 (21 enodes) 1547630258.051 * * [misc]simplify: iters left: 5 (34 enodes) 1547630258.056 * * [misc]simplify: iters left: 4 (49 enodes) 1547630258.063 * * [misc]simplify: iters left: 3 (79 enodes) 1547630258.076 * * [misc]simplify: iters left: 2 (118 enodes) 1547630258.108 * * [misc]simplify: iters left: 1 (151 enodes) 1547630258.129 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1547630258.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630258.130 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630258.130 * * [misc]simplify: iters left: 6 (19 enodes) 1547630258.133 * * [misc]simplify: iters left: 5 (28 enodes) 1547630258.138 * * [misc]simplify: iters left: 4 (35 enodes) 1547630258.148 * * [misc]simplify: iters left: 3 (41 enodes) 1547630258.158 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630258.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1547630258.158 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1547630258.158 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630258.159 * * [misc]simplify: iters left: 6 (20 enodes) 1547630258.165 * * [misc]simplify: iters left: 5 (31 enodes) 1547630258.173 * * [misc]simplify: iters left: 4 (42 enodes) 1547630258.187 * * [misc]simplify: iters left: 3 (58 enodes) 1547630258.201 * * [misc]simplify: iters left: 2 (70 enodes) 1547630258.218 * * [misc]simplify: iters left: 1 (76 enodes) 1547630258.237 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1547630258.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630258.238 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630258.238 * * [misc]simplify: iters left: 6 (19 enodes) 1547630258.244 * * [misc]simplify: iters left: 5 (28 enodes) 1547630258.251 * * [misc]simplify: iters left: 4 (35 enodes) 1547630258.262 * * [misc]simplify: iters left: 3 (41 enodes) 1547630258.272 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630258.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1547630258.272 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1547630258.273 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1547630258.273 * * [misc]simplify: iters left: 6 (16 enodes) 1547630258.279 * * [misc]simplify: iters left: 5 (26 enodes) 1547630258.287 * * [misc]simplify: iters left: 4 (38 enodes) 1547630258.296 * * [misc]simplify: iters left: 3 (50 enodes) 1547630258.301 * * [misc]simplify: iters left: 2 (51 enodes) 1547630258.306 * * [misc]simplify: iters left: 1 (57 enodes) 1547630258.313 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630258.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630258.313 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630258.313 * * [misc]simplify: iters left: 6 (18 enodes) 1547630258.316 * * [misc]simplify: iters left: 5 (27 enodes) 1547630258.319 * * [misc]simplify: iters left: 4 (34 enodes) 1547630258.324 * * [misc]simplify: iters left: 3 (40 enodes) 1547630258.328 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630258.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630258.329 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1547630258.329 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1547630258.329 * * [misc]simplify: iters left: 6 (17 enodes) 1547630258.332 * * [misc]simplify: iters left: 5 (29 enodes) 1547630258.335 * * [misc]simplify: iters left: 4 (40 enodes) 1547630258.341 * * [misc]simplify: iters left: 3 (59 enodes) 1547630258.348 * * [misc]simplify: iters left: 2 (81 enodes) 1547630258.362 * * [misc]simplify: iters left: 1 (160 enodes) 1547630258.419 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630258.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630258.420 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630258.420 * * [misc]simplify: iters left: 6 (18 enodes) 1547630258.423 * * [misc]simplify: iters left: 5 (28 enodes) 1547630258.426 * * [misc]simplify: iters left: 4 (33 enodes) 1547630258.431 * * [misc]simplify: iters left: 3 (39 enodes) 1547630258.435 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547630258.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1547630258.435 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1547630258.435 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1547630258.435 * * [misc]simplify: iters left: 6 (17 enodes) 1547630258.438 * * [misc]simplify: iters left: 5 (29 enodes) 1547630258.442 * * [misc]simplify: iters left: 4 (40 enodes) 1547630258.448 * * [misc]simplify: iters left: 3 (59 enodes) 1547630258.455 * * [misc]simplify: iters left: 2 (81 enodes) 1547630258.480 * * [misc]simplify: iters left: 1 (160 enodes) 1547630258.533 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630258.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630258.533 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630258.533 * * [misc]simplify: iters left: 6 (18 enodes) 1547630258.537 * * [misc]simplify: iters left: 5 (28 enodes) 1547630258.540 * * [misc]simplify: iters left: 4 (33 enodes) 1547630258.545 * * [misc]simplify: iters left: 3 (39 enodes) 1547630258.550 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547630258.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1547630258.550 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1547630258.550 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1547630258.551 * * [misc]simplify: iters left: 6 (16 enodes) 1547630258.553 * * [misc]simplify: iters left: 5 (26 enodes) 1547630258.557 * * [misc]simplify: iters left: 4 (37 enodes) 1547630258.563 * * [misc]simplify: iters left: 3 (56 enodes) 1547630258.569 * * [misc]simplify: iters left: 2 (78 enodes) 1547630258.585 * * [misc]simplify: iters left: 1 (140 enodes) 1547630258.613 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630258.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630258.614 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630258.614 * * [misc]simplify: iters left: 6 (15 enodes) 1547630258.617 * * [misc]simplify: iters left: 5 (23 enodes) 1547630258.623 * * [misc]simplify: iters left: 4 (30 enodes) 1547630258.632 * * [misc]simplify: iters left: 3 (36 enodes) 1547630258.640 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630258.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630258.640 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1547630258.641 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 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))))))) 1547630258.641 * * [misc]simplify: iters left: 6 (19 enodes) 1547630258.648 * * [misc]simplify: iters left: 5 (32 enodes) 1547630258.657 * * [misc]simplify: iters left: 4 (47 enodes) 1547630258.672 * * [misc]simplify: iters left: 3 (78 enodes) 1547630258.697 * * [misc]simplify: iters left: 2 (146 enodes) 1547630258.756 * * [misc]simplify: iters left: 1 (394 enodes) 1547630258.945 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630258.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630258.945 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630258.946 * * [misc]simplify: iters left: 6 (18 enodes) 1547630258.952 * * [misc]simplify: iters left: 5 (27 enodes) 1547630258.959 * * [misc]simplify: iters left: 4 (34 enodes) 1547630258.968 * * [misc]simplify: iters left: 3 (40 enodes) 1547630258.973 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630258.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630258.973 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1547630258.973 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630258.973 * * [misc]simplify: iters left: 6 (18 enodes) 1547630258.976 * * [misc]simplify: iters left: 5 (29 enodes) 1547630258.980 * * [misc]simplify: iters left: 4 (40 enodes) 1547630258.986 * * [misc]simplify: iters left: 3 (59 enodes) 1547630258.993 * * [misc]simplify: iters left: 2 (81 enodes) 1547630259.007 * * [misc]simplify: iters left: 1 (161 enodes) 1547630259.055 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630259.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630259.056 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.056 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.062 * * [misc]simplify: iters left: 5 (27 enodes) 1547630259.070 * * [misc]simplify: iters left: 4 (34 enodes) 1547630259.080 * * [misc]simplify: iters left: 3 (40 enodes) 1547630259.089 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630259.089 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630259.089 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1547630259.090 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1547630259.090 * * [misc]simplify: iters left: 6 (14 enodes) 1547630259.094 * * [misc]simplify: iters left: 5 (21 enodes) 1547630259.100 * * [misc]simplify: iters left: 4 (29 enodes) 1547630259.108 * * [misc]simplify: iters left: 3 (39 enodes) 1547630259.117 * * [misc]simplify: iters left: 2 (51 enodes) 1547630259.130 * * [misc]simplify: iters left: 1 (79 enodes) 1547630259.150 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630259.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630259.151 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630259.151 * * [misc]simplify: iters left: 6 (17 enodes) 1547630259.157 * * [misc]simplify: iters left: 5 (26 enodes) 1547630259.164 * * [misc]simplify: iters left: 4 (33 enodes) 1547630259.173 * * [misc]simplify: iters left: 3 (39 enodes) 1547630259.183 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630259.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630259.183 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1547630259.183 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1547630259.183 * * [misc]simplify: iters left: 6 (13 enodes) 1547630259.188 * * [misc]simplify: iters left: 5 (21 enodes) 1547630259.194 * * [misc]simplify: iters left: 4 (31 enodes) 1547630259.202 * * [misc]simplify: iters left: 3 (46 enodes) 1547630259.214 * * [misc]simplify: iters left: 2 (72 enodes) 1547630259.225 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630259.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630259.226 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630259.226 * * [misc]simplify: iters left: 6 (17 enodes) 1547630259.229 * * [misc]simplify: iters left: 5 (26 enodes) 1547630259.232 * * [misc]simplify: iters left: 4 (33 enodes) 1547630259.237 * * [misc]simplify: iters left: 3 (39 enodes) 1547630259.241 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630259.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630259.241 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1547630259.241 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1547630259.241 * * [misc]simplify: iters left: 6 (14 enodes) 1547630259.244 * * [misc]simplify: iters left: 5 (22 enodes) 1547630259.247 * * [misc]simplify: iters left: 4 (28 enodes) 1547630259.251 * * [misc]simplify: iters left: 3 (33 enodes) 1547630259.255 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547630259.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630259.255 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547630259.256 * * [misc]simplify: iters left: 6 (16 enodes) 1547630259.258 * * [misc]simplify: iters left: 5 (25 enodes) 1547630259.261 * * [misc]simplify: iters left: 4 (32 enodes) 1547630259.266 * * [misc]simplify: iters left: 3 (45 enodes) 1547630259.271 * * [misc]simplify: iters left: 2 (47 enodes) 1547630259.276 * * [misc]simplify: iters left: 1 (52 enodes) 1547630259.287 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630259.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1547630259.287 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1547630259.287 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1547630259.287 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.292 * * [misc]simplify: iters left: 5 (30 enodes) 1547630259.296 * * [misc]simplify: iters left: 4 (41 enodes) 1547630259.302 * * [misc]simplify: iters left: 3 (57 enodes) 1547630259.309 * * [misc]simplify: iters left: 2 (69 enodes) 1547630259.317 * * [misc]simplify: iters left: 1 (75 enodes) 1547630259.326 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1547630259.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1547630259.327 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1547630259.327 * * [misc]simplify: iters left: 6 (15 enodes) 1547630259.330 * * [misc]simplify: iters left: 5 (22 enodes) 1547630259.333 * * [misc]simplify: iters left: 4 (26 enodes) 1547630259.336 * * [misc]simplify: iters left: 3 (30 enodes) 1547630259.340 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1547630259.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1547630259.340 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1547630259.340 * [enter]simplify: Simplifying (/ (sqrt (/ 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))))))) 1547630259.340 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.344 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.348 * * [misc]simplify: iters left: 4 (32 enodes) 1547630259.352 * * [misc]simplify: iters left: 3 (36 enodes) 1547630259.357 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630259.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630259.357 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.357 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.360 * * [misc]simplify: iters left: 5 (25 enodes) 1547630259.363 * * [misc]simplify: iters left: 4 (29 enodes) 1547630259.367 * * [misc]simplify: iters left: 3 (33 enodes) 1547630259.372 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630259.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630259.373 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1547630259.373 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.373 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.376 * * [misc]simplify: iters left: 5 (25 enodes) 1547630259.379 * * [misc]simplify: iters left: 4 (29 enodes) 1547630259.383 * * [misc]simplify: iters left: 3 (33 enodes) 1547630259.387 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630259.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630259.387 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.387 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.390 * * [misc]simplify: iters left: 5 (25 enodes) 1547630259.393 * * [misc]simplify: iters left: 4 (29 enodes) 1547630259.397 * * [misc]simplify: iters left: 3 (33 enodes) 1547630259.403 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630259.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630259.403 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1547630259.403 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630259.403 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.409 * * [misc]simplify: iters left: 5 (31 enodes) 1547630259.414 * * [misc]simplify: iters left: 4 (42 enodes) 1547630259.420 * * [misc]simplify: iters left: 3 (58 enodes) 1547630259.427 * * [misc]simplify: iters left: 2 (63 enodes) 1547630259.434 * * [misc]simplify: iters left: 1 (70 enodes) 1547630259.449 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1547630259.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630259.449 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630259.450 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.456 * * [misc]simplify: iters left: 5 (29 enodes) 1547630259.464 * * [misc]simplify: iters left: 4 (34 enodes) 1547630259.473 * * [misc]simplify: iters left: 3 (40 enodes) 1547630259.483 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630259.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630259.483 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1547630259.483 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630259.484 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.489 * * [misc]simplify: iters left: 5 (31 enodes) 1547630259.493 * * [misc]simplify: iters left: 4 (42 enodes) 1547630259.498 * * [misc]simplify: iters left: 3 (58 enodes) 1547630259.505 * * [misc]simplify: iters left: 2 (63 enodes) 1547630259.513 * * [misc]simplify: iters left: 1 (70 enodes) 1547630259.521 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1547630259.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630259.521 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630259.521 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.524 * * [misc]simplify: iters left: 5 (29 enodes) 1547630259.528 * * [misc]simplify: iters left: 4 (34 enodes) 1547630259.534 * * [misc]simplify: iters left: 3 (40 enodes) 1547630259.544 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630259.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630259.544 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1547630259.544 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630259.545 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.551 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.558 * * [misc]simplify: iters left: 4 (39 enodes) 1547630259.566 * * [misc]simplify: iters left: 3 (55 enodes) 1547630259.573 * * [misc]simplify: iters left: 2 (60 enodes) 1547630259.579 * * [misc]simplify: iters left: 1 (67 enodes) 1547630259.587 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630259.587 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630259.587 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630259.587 * * [misc]simplify: iters left: 6 (16 enodes) 1547630259.590 * * [misc]simplify: iters left: 5 (24 enodes) 1547630259.593 * * [misc]simplify: iters left: 4 (31 enodes) 1547630259.597 * * [misc]simplify: iters left: 3 (37 enodes) 1547630259.601 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630259.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630259.602 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1547630259.602 * [enter]simplify: Simplifying (/ (sqrt (/ 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))))))) 1547630259.602 * * [misc]simplify: iters left: 6 (21 enodes) 1547630259.606 * * [misc]simplify: iters left: 5 (36 enodes) 1547630259.611 * * [misc]simplify: iters left: 4 (58 enodes) 1547630259.624 * * [misc]simplify: iters left: 3 (85 enodes) 1547630259.648 * * [misc]simplify: iters left: 2 (115 enodes) 1547630259.679 * * [misc]simplify: iters left: 1 (139 enodes) 1547630259.718 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630259.719 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.719 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.726 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.732 * * [misc]simplify: iters left: 4 (35 enodes) 1547630259.737 * * [misc]simplify: iters left: 3 (41 enodes) 1547630259.742 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547630259.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1547630259.742 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1547630259.742 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.742 * * [misc]simplify: iters left: 6 (20 enodes) 1547630259.746 * * [misc]simplify: iters left: 5 (31 enodes) 1547630259.750 * * [misc]simplify: iters left: 4 (42 enodes) 1547630259.756 * * [misc]simplify: iters left: 3 (58 enodes) 1547630259.763 * * [misc]simplify: iters left: 2 (63 enodes) 1547630259.776 * * [misc]simplify: iters left: 1 (70 enodes) 1547630259.792 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630259.793 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630259.793 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.799 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.807 * * [misc]simplify: iters left: 4 (35 enodes) 1547630259.817 * * [misc]simplify: iters left: 3 (41 enodes) 1547630259.826 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547630259.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1547630259.827 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1547630259.827 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547630259.827 * * [misc]simplify: iters left: 6 (16 enodes) 1547630259.833 * * [misc]simplify: iters left: 5 (26 enodes) 1547630259.839 * * [misc]simplify: iters left: 4 (41 enodes) 1547630259.844 * * [misc]simplify: iters left: 3 (63 enodes) 1547630259.853 * * [misc]simplify: iters left: 2 (129 enodes) 1547630259.880 * * [misc]simplify: iters left: 1 (190 enodes) 1547630259.896 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630259.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630259.896 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630259.896 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.899 * * [misc]simplify: iters left: 5 (27 enodes) 1547630259.904 * * [misc]simplify: iters left: 4 (34 enodes) 1547630259.913 * * [misc]simplify: iters left: 3 (40 enodes) 1547630259.922 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630259.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630259.923 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1547630259.923 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630259.923 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.928 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.936 * * [misc]simplify: iters left: 4 (35 enodes) 1547630259.946 * * [misc]simplify: iters left: 3 (41 enodes) 1547630259.955 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1547630259.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630259.955 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630259.955 * * [misc]simplify: iters left: 6 (19 enodes) 1547630259.961 * * [misc]simplify: iters left: 5 (29 enodes) 1547630259.968 * * [misc]simplify: iters left: 4 (34 enodes) 1547630259.977 * * [misc]simplify: iters left: 3 (40 enodes) 1547630259.985 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630259.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630259.985 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1547630259.985 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630259.986 * * [misc]simplify: iters left: 6 (18 enodes) 1547630259.989 * * [misc]simplify: iters left: 5 (28 enodes) 1547630259.993 * * [misc]simplify: iters left: 4 (35 enodes) 1547630259.998 * * [misc]simplify: iters left: 3 (41 enodes) 1547630260.003 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1547630260.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630260.003 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630260.003 * * [misc]simplify: iters left: 6 (19 enodes) 1547630260.006 * * [misc]simplify: iters left: 5 (29 enodes) 1547630260.013 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.022 * * [misc]simplify: iters left: 3 (40 enodes) 1547630260.032 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630260.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630260.033 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1547630260.033 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630260.033 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.040 * * [misc]simplify: iters left: 5 (25 enodes) 1547630260.047 * * [misc]simplify: iters left: 4 (32 enodes) 1547630260.055 * * [misc]simplify: iters left: 3 (38 enodes) 1547630260.064 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630260.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630260.065 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630260.065 * * [misc]simplify: iters left: 6 (16 enodes) 1547630260.070 * * [misc]simplify: iters left: 5 (24 enodes) 1547630260.077 * * [misc]simplify: iters left: 4 (31 enodes) 1547630260.086 * * [misc]simplify: iters left: 3 (37 enodes) 1547630260.094 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630260.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630260.094 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1547630260.095 * [enter]simplify: Simplifying (/ (sqrt (/ 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))))))) 1547630260.095 * * [misc]simplify: iters left: 6 (20 enodes) 1547630260.102 * * [misc]simplify: iters left: 5 (31 enodes) 1547630260.110 * * [misc]simplify: iters left: 4 (40 enodes) 1547630260.122 * * [misc]simplify: iters left: 3 (53 enodes) 1547630260.135 * * [misc]simplify: iters left: 2 (61 enodes) 1547630260.149 * * [misc]simplify: iters left: 1 (63 enodes) 1547630260.164 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630260.165 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.165 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.165 * * [misc]simplify: iters left: 6 (19 enodes) 1547630260.171 * * [misc]simplify: iters left: 5 (28 enodes) 1547630260.178 * * [misc]simplify: iters left: 4 (35 enodes) 1547630260.189 * * [misc]simplify: iters left: 3 (41 enodes) 1547630260.199 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630260.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1547630260.199 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1547630260.199 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.200 * * [misc]simplify: iters left: 6 (19 enodes) 1547630260.206 * * [misc]simplify: iters left: 5 (28 enodes) 1547630260.213 * * [misc]simplify: iters left: 4 (35 enodes) 1547630260.223 * * [misc]simplify: iters left: 3 (41 enodes) 1547630260.232 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630260.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.233 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.233 * * [misc]simplify: iters left: 6 (19 enodes) 1547630260.239 * * [misc]simplify: iters left: 5 (28 enodes) 1547630260.247 * * [misc]simplify: iters left: 4 (35 enodes) 1547630260.257 * * [misc]simplify: iters left: 3 (41 enodes) 1547630260.268 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630260.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1547630260.268 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1547630260.268 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1547630260.268 * * [misc]simplify: iters left: 6 (15 enodes) 1547630260.274 * * [misc]simplify: iters left: 5 (23 enodes) 1547630260.281 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.289 * * [misc]simplify: iters left: 3 (39 enodes) 1547630260.297 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630260.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630260.298 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630260.298 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.304 * * [misc]simplify: iters left: 5 (27 enodes) 1547630260.311 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.320 * * [misc]simplify: iters left: 3 (40 enodes) 1547630260.330 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630260.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630260.330 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1547630260.330 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1547630260.330 * * [misc]simplify: iters left: 6 (16 enodes) 1547630260.336 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.342 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.352 * * [misc]simplify: iters left: 3 (46 enodes) 1547630260.357 * * [misc]simplify: iters left: 2 (48 enodes) 1547630260.361 * * [misc]simplify: iters left: 1 (53 enodes) 1547630260.367 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547630260.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630260.367 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630260.367 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.370 * * [misc]simplify: iters left: 5 (28 enodes) 1547630260.373 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.380 * * [misc]simplify: iters left: 3 (39 enodes) 1547630260.389 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547630260.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1547630260.389 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1547630260.390 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1547630260.390 * * [misc]simplify: iters left: 6 (16 enodes) 1547630260.395 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.402 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.411 * * [misc]simplify: iters left: 3 (46 enodes) 1547630260.422 * * [misc]simplify: iters left: 2 (48 enodes) 1547630260.431 * * [misc]simplify: iters left: 1 (53 enodes) 1547630260.442 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547630260.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630260.442 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630260.443 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.449 * * [misc]simplify: iters left: 5 (28 enodes) 1547630260.456 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.465 * * [misc]simplify: iters left: 3 (39 enodes) 1547630260.475 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547630260.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1547630260.476 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1547630260.476 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1547630260.476 * * [misc]simplify: iters left: 6 (15 enodes) 1547630260.481 * * [misc]simplify: iters left: 5 (23 enodes) 1547630260.488 * * [misc]simplify: iters left: 4 (30 enodes) 1547630260.496 * * [misc]simplify: iters left: 3 (43 enodes) 1547630260.501 * * [misc]simplify: iters left: 2 (45 enodes) 1547630260.505 * * [misc]simplify: iters left: 1 (50 enodes) 1547630260.510 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547630260.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630260.510 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630260.511 * * [misc]simplify: iters left: 6 (15 enodes) 1547630260.514 * * [misc]simplify: iters left: 5 (23 enodes) 1547630260.517 * * [misc]simplify: iters left: 4 (30 enodes) 1547630260.522 * * [misc]simplify: iters left: 3 (36 enodes) 1547630260.530 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630260.530 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630260.530 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1547630260.531 * [enter]simplify: Simplifying (/ (sqrt (/ 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))))))) 1547630260.531 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.537 * * [misc]simplify: iters left: 5 (29 enodes) 1547630260.545 * * [misc]simplify: iters left: 4 (38 enodes) 1547630260.552 * * [misc]simplify: iters left: 3 (55 enodes) 1547630260.559 * * [misc]simplify: iters left: 2 (64 enodes) 1547630260.566 * * [misc]simplify: iters left: 1 (74 enodes) 1547630260.577 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.577 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.578 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.581 * * [misc]simplify: iters left: 5 (27 enodes) 1547630260.584 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.589 * * [misc]simplify: iters left: 3 (40 enodes) 1547630260.593 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630260.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630260.593 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1547630260.594 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.594 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.597 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.600 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.605 * * [misc]simplify: iters left: 3 (46 enodes) 1547630260.610 * * [misc]simplify: iters left: 2 (48 enodes) 1547630260.617 * * [misc]simplify: iters left: 1 (53 enodes) 1547630260.628 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547630260.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.628 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.628 * * [misc]simplify: iters left: 6 (18 enodes) 1547630260.634 * * [misc]simplify: iters left: 5 (27 enodes) 1547630260.641 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.651 * * [misc]simplify: iters left: 3 (40 enodes) 1547630260.661 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630260.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630260.661 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1547630260.661 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1547630260.661 * * [misc]simplify: iters left: 6 (13 enodes) 1547630260.665 * * [misc]simplify: iters left: 5 (18 enodes) 1547630260.671 * * [misc]simplify: iters left: 4 (26 enodes) 1547630260.677 * * [misc]simplify: iters left: 3 (30 enodes) 1547630260.683 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547630260.683 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630260.684 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630260.684 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.691 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.697 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.706 * * [misc]simplify: iters left: 3 (39 enodes) 1547630260.714 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630260.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630260.714 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1547630260.714 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1547630260.714 * * [misc]simplify: iters left: 6 (12 enodes) 1547630260.718 * * [misc]simplify: iters left: 5 (18 enodes) 1547630260.723 * * [misc]simplify: iters left: 4 (24 enodes) 1547630260.728 * * [misc]simplify: iters left: 3 (25 enodes) 1547630260.734 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547630260.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630260.735 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630260.735 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.741 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.747 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.756 * * [misc]simplify: iters left: 3 (39 enodes) 1547630260.766 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630260.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630260.766 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1547630260.766 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1547630260.766 * * [misc]simplify: iters left: 6 (13 enodes) 1547630260.771 * * [misc]simplify: iters left: 5 (19 enodes) 1547630260.776 * * [misc]simplify: iters left: 4 (23 enodes) 1547630260.782 * * [misc]simplify: iters left: 3 (27 enodes) 1547630260.788 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630260.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630260.788 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547630260.788 * * [misc]simplify: iters left: 6 (16 enodes) 1547630260.791 * * [misc]simplify: iters left: 5 (25 enodes) 1547630260.794 * * [misc]simplify: iters left: 4 (32 enodes) 1547630260.800 * * [misc]simplify: iters left: 3 (45 enodes) 1547630260.805 * * [misc]simplify: iters left: 2 (47 enodes) 1547630260.809 * * [misc]simplify: iters left: 1 (52 enodes) 1547630260.814 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547630260.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1547630260.814 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1547630260.815 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1547630260.815 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.818 * * [misc]simplify: iters left: 5 (27 enodes) 1547630260.825 * * [misc]simplify: iters left: 4 (34 enodes) 1547630260.834 * * [misc]simplify: iters left: 3 (40 enodes) 1547630260.843 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1547630260.843 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1547630260.843 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1547630260.843 * * [misc]simplify: iters left: 6 (15 enodes) 1547630260.848 * * [misc]simplify: iters left: 5 (22 enodes) 1547630260.850 * * [misc]simplify: iters left: 4 (26 enodes) 1547630260.854 * * [misc]simplify: iters left: 3 (30 enodes) 1547630260.858 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1547630260.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1547630260.858 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1547630260.858 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630260.858 * * [misc]simplify: iters left: 6 (14 enodes) 1547630260.860 * * [misc]simplify: iters left: 5 (21 enodes) 1547630260.863 * * [misc]simplify: iters left: 4 (24 enodes) 1547630260.866 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.867 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.867 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.870 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.873 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.878 * * [misc]simplify: iters left: 3 (45 enodes) 1547630260.884 * * [misc]simplify: iters left: 2 (70 enodes) 1547630260.896 * * [misc]simplify: iters left: 1 (91 enodes) 1547630260.911 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.911 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1547630260.911 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.911 * * [misc]simplify: iters left: 6 (13 enodes) 1547630260.913 * * [misc]simplify: iters left: 5 (18 enodes) 1547630260.915 * * [misc]simplify: iters left: 4 (21 enodes) 1547630260.918 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.918 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.918 * * [misc]simplify: iters left: 6 (17 enodes) 1547630260.921 * * [misc]simplify: iters left: 5 (26 enodes) 1547630260.924 * * [misc]simplify: iters left: 4 (33 enodes) 1547630260.929 * * [misc]simplify: iters left: 3 (45 enodes) 1547630260.935 * * [misc]simplify: iters left: 2 (70 enodes) 1547630260.950 * * [misc]simplify: iters left: 1 (91 enodes) 1547630260.965 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630260.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630260.965 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1547630260.965 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630260.965 * * [misc]simplify: iters left: 6 (12 enodes) 1547630260.967 * * [misc]simplify: iters left: 5 (20 enodes) 1547630260.969 * * [misc]simplify: iters left: 4 (27 enodes) 1547630260.973 * * [misc]simplify: iters left: 3 (37 enodes) 1547630260.980 * * [misc]simplify: iters left: 2 (64 enodes) 1547630260.999 * * [misc]simplify: iters left: 1 (93 enodes) 1547630261.029 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630261.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630261.030 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630261.030 * * [misc]simplify: iters left: 6 (18 enodes) 1547630261.036 * * [misc]simplify: iters left: 5 (30 enodes) 1547630261.045 * * [misc]simplify: iters left: 4 (41 enodes) 1547630261.058 * * [misc]simplify: iters left: 3 (76 enodes) 1547630261.084 * * [misc]simplify: iters left: 2 (142 enodes) 1547630261.135 * * [misc]simplify: iters left: 1 (391 enodes) 1547630261.413 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630261.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630261.413 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1547630261.413 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630261.413 * * [misc]simplify: iters left: 6 (12 enodes) 1547630261.415 * * [misc]simplify: iters left: 5 (20 enodes) 1547630261.421 * * [misc]simplify: iters left: 4 (27 enodes) 1547630261.425 * * [misc]simplify: iters left: 3 (37 enodes) 1547630261.432 * * [misc]simplify: iters left: 2 (64 enodes) 1547630261.452 * * [misc]simplify: iters left: 1 (93 enodes) 1547630261.482 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630261.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630261.482 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630261.482 * * [misc]simplify: iters left: 6 (18 enodes) 1547630261.489 * * [misc]simplify: iters left: 5 (30 enodes) 1547630261.497 * * [misc]simplify: iters left: 4 (41 enodes) 1547630261.510 * * [misc]simplify: iters left: 3 (76 enodes) 1547630261.535 * * [misc]simplify: iters left: 2 (142 enodes) 1547630261.627 * * [misc]simplify: iters left: 1 (391 enodes) 1547630261.932 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630261.932 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630261.932 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1547630261.932 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630261.932 * * [misc]simplify: iters left: 6 (13 enodes) 1547630261.934 * * [misc]simplify: iters left: 5 (21 enodes) 1547630261.937 * * [misc]simplify: iters left: 4 (31 enodes) 1547630261.941 * * [misc]simplify: iters left: 3 (51 enodes) 1547630261.950 * * [misc]simplify: iters left: 2 (90 enodes) 1547630261.977 * * [misc]simplify: iters left: 1 (181 enodes) 1547630262.025 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630262.025 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630262.025 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630262.025 * * [misc]simplify: iters left: 6 (15 enodes) 1547630262.028 * * [misc]simplify: iters left: 5 (25 enodes) 1547630262.031 * * [misc]simplify: iters left: 4 (38 enodes) 1547630262.037 * * [misc]simplify: iters left: 3 (73 enodes) 1547630262.049 * * [misc]simplify: iters left: 2 (139 enodes) 1547630262.122 * * [misc]simplify: iters left: 1 (375 enodes) 1547630262.371 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547630262.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1547630262.371 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1547630262.371 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630262.372 * * [misc]simplify: iters left: 6 (16 enodes) 1547630262.377 * * [misc]simplify: iters left: 5 (29 enodes) 1547630262.386 * * [misc]simplify: iters left: 4 (50 enodes) 1547630262.401 * * [misc]simplify: iters left: 3 (70 enodes) 1547630262.425 * * [misc]simplify: iters left: 2 (169 enodes) 1547630262.482 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1547630262.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630262.482 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630262.483 * * [misc]simplify: iters left: 6 (18 enodes) 1547630262.486 * * [misc]simplify: iters left: 5 (29 enodes) 1547630262.489 * * [misc]simplify: iters left: 4 (42 enodes) 1547630262.496 * * [misc]simplify: iters left: 3 (77 enodes) 1547630262.509 * * [misc]simplify: iters left: 2 (143 enodes) 1547630262.584 * * [misc]simplify: iters left: 1 (394 enodes) 1547630262.797 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547630262.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1547630262.798 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1547630262.798 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630262.798 * * [misc]simplify: iters left: 6 (15 enodes) 1547630262.800 * * [misc]simplify: iters left: 5 (24 enodes) 1547630262.803 * * [misc]simplify: iters left: 4 (34 enodes) 1547630262.808 * * [misc]simplify: iters left: 3 (54 enodes) 1547630262.817 * * [misc]simplify: iters left: 2 (93 enodes) 1547630262.835 * * [misc]simplify: iters left: 1 (182 enodes) 1547630262.917 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630262.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630262.917 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630262.917 * * [misc]simplify: iters left: 6 (18 enodes) 1547630262.924 * * [misc]simplify: iters left: 5 (29 enodes) 1547630262.932 * * [misc]simplify: iters left: 4 (42 enodes) 1547630262.946 * * [misc]simplify: iters left: 3 (77 enodes) 1547630262.974 * * [misc]simplify: iters left: 2 (143 enodes) 1547630263.034 * * [misc]simplify: iters left: 1 (394 enodes) 1547630263.242 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547630263.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1547630263.242 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1547630263.243 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547630263.243 * * [misc]simplify: iters left: 6 (7 enodes) 1547630263.245 * * [misc]simplify: iters left: 5 (13 enodes) 1547630263.250 * * [misc]simplify: iters left: 4 (22 enodes) 1547630263.255 * * [misc]simplify: iters left: 3 (24 enodes) 1547630263.260 * * [misc]simplify: iters left: 2 (29 enodes) 1547630263.266 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547630263.266 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630263.266 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630263.266 * * [misc]simplify: iters left: 6 (17 enodes) 1547630263.272 * * [misc]simplify: iters left: 5 (28 enodes) 1547630263.279 * * [misc]simplify: iters left: 4 (41 enodes) 1547630263.295 * * [misc]simplify: iters left: 3 (76 enodes) 1547630263.318 * * [misc]simplify: iters left: 2 (142 enodes) 1547630263.398 * * [misc]simplify: iters left: 1 (380 enodes) 1547630263.643 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630263.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630263.643 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1547630263.643 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630263.643 * * [misc]simplify: iters left: 6 (11 enodes) 1547630263.645 * * [misc]simplify: iters left: 5 (17 enodes) 1547630263.647 * * [misc]simplify: iters left: 4 (20 enodes) 1547630263.651 * * [misc]simplify: iters left: 3 (22 enodes) 1547630263.658 * * [misc]simplify: iters left: 2 (34 enodes) 1547630263.666 * * [misc]simplify: iters left: 1 (42 enodes) 1547630263.675 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630263.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630263.675 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630263.675 * * [misc]simplify: iters left: 6 (18 enodes) 1547630263.682 * * [misc]simplify: iters left: 5 (30 enodes) 1547630263.690 * * [misc]simplify: iters left: 4 (41 enodes) 1547630263.704 * * [misc]simplify: iters left: 3 (76 enodes) 1547630263.731 * * [misc]simplify: iters left: 2 (142 enodes) 1547630263.785 * * [misc]simplify: iters left: 1 (391 enodes) 1547630264.056 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630264.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630264.057 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1547630264.057 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630264.057 * * [misc]simplify: iters left: 6 (11 enodes) 1547630264.061 * * [misc]simplify: iters left: 5 (17 enodes) 1547630264.065 * * [misc]simplify: iters left: 4 (20 enodes) 1547630264.070 * * [misc]simplify: iters left: 3 (22 enodes) 1547630264.077 * * [misc]simplify: iters left: 2 (34 enodes) 1547630264.086 * * [misc]simplify: iters left: 1 (42 enodes) 1547630264.094 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630264.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630264.095 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630264.095 * * [misc]simplify: iters left: 6 (18 enodes) 1547630264.100 * * [misc]simplify: iters left: 5 (30 enodes) 1547630264.104 * * [misc]simplify: iters left: 4 (41 enodes) 1547630264.111 * * [misc]simplify: iters left: 3 (76 enodes) 1547630264.125 * * [misc]simplify: iters left: 2 (142 enodes) 1547630264.212 * * [misc]simplify: iters left: 1 (391 enodes) 1547630264.485 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630264.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630264.485 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1547630264.486 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630264.486 * * [misc]simplify: iters left: 6 (12 enodes) 1547630264.489 * * [misc]simplify: iters left: 5 (18 enodes) 1547630264.492 * * [misc]simplify: iters left: 4 (24 enodes) 1547630264.495 * * [misc]simplify: iters left: 3 (32 enodes) 1547630264.500 * * [misc]simplify: iters left: 2 (41 enodes) 1547630264.504 * * [misc]simplify: iters left: 1 (51 enodes) 1547630264.510 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630264.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630264.510 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630264.510 * * [misc]simplify: iters left: 6 (15 enodes) 1547630264.513 * * [misc]simplify: iters left: 5 (25 enodes) 1547630264.516 * * [misc]simplify: iters left: 4 (38 enodes) 1547630264.522 * * [misc]simplify: iters left: 3 (73 enodes) 1547630264.542 * * [misc]simplify: iters left: 2 (139 enodes) 1547630264.632 * * [misc]simplify: iters left: 1 (375 enodes) 1547630264.929 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547630264.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1547630264.929 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1547630264.929 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630264.929 * * [misc]simplify: iters left: 6 (15 enodes) 1547630264.931 * * [misc]simplify: iters left: 5 (24 enodes) 1547630264.935 * * [misc]simplify: iters left: 4 (32 enodes) 1547630264.939 * * [misc]simplify: iters left: 3 (43 enodes) 1547630264.945 * * [misc]simplify: iters left: 2 (69 enodes) 1547630264.957 * * [misc]simplify: iters left: 1 (119 enodes) 1547630264.985 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630264.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630264.986 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630264.986 * * [misc]simplify: iters left: 6 (18 enodes) 1547630264.990 * * [misc]simplify: iters left: 5 (29 enodes) 1547630264.999 * * [misc]simplify: iters left: 4 (42 enodes) 1547630265.013 * * [misc]simplify: iters left: 3 (77 enodes) 1547630265.038 * * [misc]simplify: iters left: 2 (143 enodes) 1547630265.093 * * [misc]simplify: iters left: 1 (394 enodes) 1547630265.396 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547630265.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1547630265.397 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1547630265.397 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630265.397 * * [misc]simplify: iters left: 6 (14 enodes) 1547630265.399 * * [misc]simplify: iters left: 5 (21 enodes) 1547630265.402 * * [misc]simplify: iters left: 4 (27 enodes) 1547630265.405 * * [misc]simplify: iters left: 3 (35 enodes) 1547630265.411 * * [misc]simplify: iters left: 2 (43 enodes) 1547630265.415 * * [misc]simplify: iters left: 1 (56 enodes) 1547630265.423 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630265.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630265.423 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630265.423 * * [misc]simplify: iters left: 6 (18 enodes) 1547630265.426 * * [misc]simplify: iters left: 5 (29 enodes) 1547630265.430 * * [misc]simplify: iters left: 4 (42 enodes) 1547630265.436 * * [misc]simplify: iters left: 3 (77 enodes) 1547630265.458 * * [misc]simplify: iters left: 2 (143 enodes) 1547630265.524 * * [misc]simplify: iters left: 1 (394 enodes) 1547630265.735 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547630265.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1547630265.735 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1547630265.735 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1547630265.735 * * [misc]simplify: iters left: 6 (6 enodes) 1547630265.737 * * [misc]simplify: iters left: 5 (10 enodes) 1547630265.741 * * [misc]simplify: iters left: 4 (16 enodes) 1547630265.744 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547630265.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630265.744 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630265.745 * * [misc]simplify: iters left: 6 (17 enodes) 1547630265.751 * * [misc]simplify: iters left: 5 (28 enodes) 1547630265.759 * * [misc]simplify: iters left: 4 (41 enodes) 1547630265.772 * * [misc]simplify: iters left: 3 (76 enodes) 1547630265.801 * * [misc]simplify: iters left: 2 (142 enodes) 1547630265.870 * * [misc]simplify: iters left: 1 (380 enodes) 1547630266.174 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630266.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630266.174 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1547630266.174 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547630266.174 * * [misc]simplify: iters left: 6 (8 enodes) 1547630266.176 * * [misc]simplify: iters left: 5 (14 enodes) 1547630266.177 * * [misc]simplify: iters left: 4 (15 enodes) 1547630266.179 * * [misc]simplify: iters left: 3 (19 enodes) 1547630266.181 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547630266.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630266.181 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630266.181 * * [misc]simplify: iters left: 6 (17 enodes) 1547630266.184 * * [misc]simplify: iters left: 5 (29 enodes) 1547630266.188 * * [misc]simplify: iters left: 4 (40 enodes) 1547630266.195 * * [misc]simplify: iters left: 3 (75 enodes) 1547630266.207 * * [misc]simplify: iters left: 2 (141 enodes) 1547630266.266 * * [misc]simplify: iters left: 1 (379 enodes) 1547630266.451 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630266.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630266.451 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1547630266.451 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547630266.452 * * [misc]simplify: iters left: 6 (8 enodes) 1547630266.453 * * [misc]simplify: iters left: 5 (14 enodes) 1547630266.455 * * [misc]simplify: iters left: 4 (15 enodes) 1547630266.458 * * [misc]simplify: iters left: 3 (19 enodes) 1547630266.462 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547630266.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630266.462 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630266.463 * * [misc]simplify: iters left: 6 (17 enodes) 1547630266.468 * * [misc]simplify: iters left: 5 (29 enodes) 1547630266.476 * * [misc]simplify: iters left: 4 (40 enodes) 1547630266.482 * * [misc]simplify: iters left: 3 (75 enodes) 1547630266.495 * * [misc]simplify: iters left: 2 (141 enodes) 1547630266.542 * * [misc]simplify: iters left: 1 (379 enodes) 1547630266.852 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630266.852 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630266.852 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1547630266.853 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1547630266.853 * * [misc]simplify: iters left: 6 (10 enodes) 1547630266.856 * * [misc]simplify: iters left: 5 (16 enodes) 1547630266.858 * * [misc]simplify: iters left: 4 (20 enodes) 1547630266.861 * * [misc]simplify: iters left: 3 (24 enodes) 1547630266.864 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547630266.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630266.864 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630266.864 * * [misc]simplify: iters left: 6 (14 enodes) 1547630266.867 * * [misc]simplify: iters left: 5 (24 enodes) 1547630266.870 * * [misc]simplify: iters left: 4 (37 enodes) 1547630266.882 * * [misc]simplify: iters left: 3 (72 enodes) 1547630266.909 * * [misc]simplify: iters left: 2 (138 enodes) 1547630266.984 * * [misc]simplify: iters left: 1 (391 enodes) 1547630267.228 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1547630267.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1547630267.228 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1547630267.228 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630267.228 * * [misc]simplify: iters left: 6 (13 enodes) 1547630267.231 * * [misc]simplify: iters left: 5 (22 enodes) 1547630267.236 * * [misc]simplify: iters left: 4 (26 enodes) 1547630267.243 * * [misc]simplify: iters left: 3 (32 enodes) 1547630267.254 * * [misc]simplify: iters left: 2 (34 enodes) 1547630267.262 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630267.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630267.262 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630267.263 * * [misc]simplify: iters left: 6 (17 enodes) 1547630267.269 * * [misc]simplify: iters left: 5 (28 enodes) 1547630267.276 * * [misc]simplify: iters left: 4 (41 enodes) 1547630267.289 * * [misc]simplify: iters left: 3 (76 enodes) 1547630267.307 * * [misc]simplify: iters left: 2 (142 enodes) 1547630267.365 * * [misc]simplify: iters left: 1 (382 enodes) 1547630267.677 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547630267.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1547630267.677 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1547630267.677 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630267.678 * * [misc]simplify: iters left: 6 (12 enodes) 1547630267.682 * * [misc]simplify: iters left: 5 (19 enodes) 1547630267.686 * * [misc]simplify: iters left: 4 (23 enodes) 1547630267.693 * * [misc]simplify: iters left: 3 (27 enodes) 1547630267.698 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1547630267.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630267.698 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630267.698 * * [misc]simplify: iters left: 6 (17 enodes) 1547630267.704 * * [misc]simplify: iters left: 5 (28 enodes) 1547630267.711 * * [misc]simplify: iters left: 4 (41 enodes) 1547630267.724 * * [misc]simplify: iters left: 3 (76 enodes) 1547630267.743 * * [misc]simplify: iters left: 2 (142 enodes) 1547630267.787 * * [misc]simplify: iters left: 1 (382 enodes) 1547630268.152 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547630268.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1547630268.152 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1547630268.152 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1547630268.152 * * [misc]simplify: iters left: 4 (3 enodes) 1547630268.153 * * [misc]simplify: iters left: 3 (5 enodes) 1547630268.153 * [exit]simplify: Simplified to 1 1547630268.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630268.153 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630268.153 * * [misc]simplify: iters left: 6 (16 enodes) 1547630268.156 * * [misc]simplify: iters left: 5 (27 enodes) 1547630268.160 * * [misc]simplify: iters left: 4 (40 enodes) 1547630268.174 * * [misc]simplify: iters left: 3 (75 enodes) 1547630268.200 * * [misc]simplify: iters left: 2 (141 enodes) 1547630268.291 * * [misc]simplify: iters left: 1 (376 enodes) 1547630268.581 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630268.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1547630268.581 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1547630268.582 * [enter]simplify: Simplifying (/ 1 1) 1547630268.582 * * [misc]simplify: iters left: 2 (2 enodes) 1547630268.582 * * [misc]simplify: iters left: 1 (4 enodes) 1547630268.583 * [exit]simplify: Simplified to 1 1547630268.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630268.583 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630268.584 * * [misc]simplify: iters left: 6 (16 enodes) 1547630268.589 * * [misc]simplify: iters left: 5 (27 enodes) 1547630268.597 * * [misc]simplify: iters left: 4 (40 enodes) 1547630268.611 * * [misc]simplify: iters left: 3 (75 enodes) 1547630268.628 * * [misc]simplify: iters left: 2 (141 enodes) 1547630268.672 * * [misc]simplify: iters left: 1 (376 enodes) 1547630268.975 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630268.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1547630268.975 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1547630268.976 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1547630268.976 * * [misc]simplify: iters left: 3 (4 enodes) 1547630268.977 * * [misc]simplify: iters left: 2 (6 enodes) 1547630268.978 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547630268.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630268.979 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547630268.979 * * [misc]simplify: iters left: 6 (15 enodes) 1547630268.984 * * [misc]simplify: iters left: 5 (26 enodes) 1547630268.992 * * [misc]simplify: iters left: 4 (35 enodes) 1547630269.003 * * [misc]simplify: iters left: 3 (61 enodes) 1547630269.025 * * [misc]simplify: iters left: 2 (82 enodes) 1547630269.049 * * [misc]simplify: iters left: 1 (85 enodes) 1547630269.068 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547630269.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1547630269.068 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1547630269.069 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1547630269.069 * * [misc]simplify: iters left: 6 (10 enodes) 1547630269.074 * * [misc]simplify: iters left: 5 (16 enodes) 1547630269.078 * * [misc]simplify: iters left: 4 (19 enodes) 1547630269.083 * * [misc]simplify: iters left: 3 (21 enodes) 1547630269.090 * * [misc]simplify: iters left: 2 (33 enodes) 1547630269.098 * * [misc]simplify: iters left: 1 (41 enodes) 1547630269.107 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547630269.107 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1547630269.107 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1547630269.107 * * [misc]simplify: iters left: 6 (14 enodes) 1547630269.112 * * [misc]simplify: iters left: 5 (23 enodes) 1547630269.118 * * [misc]simplify: iters left: 4 (30 enodes) 1547630269.127 * * [misc]simplify: iters left: 3 (42 enodes) 1547630269.140 * * [misc]simplify: iters left: 2 (67 enodes) 1547630269.163 * * [misc]simplify: iters left: 1 (88 enodes) 1547630269.189 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547630269.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1547630269.189 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1547630269.189 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630269.190 * * [misc]simplify: iters left: 6 (14 enodes) 1547630269.194 * * [misc]simplify: iters left: 5 (21 enodes) 1547630269.200 * * [misc]simplify: iters left: 4 (24 enodes) 1547630269.206 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630269.207 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.207 * * [misc]simplify: iters left: 6 (17 enodes) 1547630269.213 * * [misc]simplify: iters left: 5 (26 enodes) 1547630269.222 * * [misc]simplify: iters left: 4 (33 enodes) 1547630269.233 * * [misc]simplify: iters left: 3 (45 enodes) 1547630269.246 * * [misc]simplify: iters left: 2 (70 enodes) 1547630269.269 * * [misc]simplify: iters left: 1 (91 enodes) 1547630269.297 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630269.298 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1547630269.298 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.298 * * [misc]simplify: iters left: 6 (13 enodes) 1547630269.302 * * [misc]simplify: iters left: 5 (18 enodes) 1547630269.307 * * [misc]simplify: iters left: 4 (21 enodes) 1547630269.312 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630269.313 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.313 * * [misc]simplify: iters left: 6 (17 enodes) 1547630269.319 * * [misc]simplify: iters left: 5 (26 enodes) 1547630269.326 * * [misc]simplify: iters left: 4 (33 enodes) 1547630269.335 * * [misc]simplify: iters left: 3 (45 enodes) 1547630269.347 * * [misc]simplify: iters left: 2 (70 enodes) 1547630269.373 * * [misc]simplify: iters left: 1 (91 enodes) 1547630269.403 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630269.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630269.403 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1547630269.404 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630269.404 * * [misc]simplify: iters left: 6 (12 enodes) 1547630269.408 * * [misc]simplify: iters left: 5 (20 enodes) 1547630269.413 * * [misc]simplify: iters left: 4 (27 enodes) 1547630269.421 * * [misc]simplify: iters left: 3 (37 enodes) 1547630269.433 * * [misc]simplify: iters left: 2 (64 enodes) 1547630269.454 * * [misc]simplify: iters left: 1 (93 enodes) 1547630269.481 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630269.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630269.482 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630269.482 * * [misc]simplify: iters left: 6 (18 enodes) 1547630269.485 * * [misc]simplify: iters left: 5 (30 enodes) 1547630269.489 * * [misc]simplify: iters left: 4 (41 enodes) 1547630269.496 * * [misc]simplify: iters left: 3 (76 enodes) 1547630269.520 * * [misc]simplify: iters left: 2 (142 enodes) 1547630269.589 * * [misc]simplify: iters left: 1 (391 enodes) 1547630269.881 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630269.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630269.881 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1547630269.881 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630269.881 * * [misc]simplify: iters left: 6 (12 enodes) 1547630269.883 * * [misc]simplify: iters left: 5 (20 enodes) 1547630269.885 * * [misc]simplify: iters left: 4 (27 enodes) 1547630269.890 * * [misc]simplify: iters left: 3 (37 enodes) 1547630269.899 * * [misc]simplify: iters left: 2 (64 enodes) 1547630269.909 * * [misc]simplify: iters left: 1 (93 enodes) 1547630269.923 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630269.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630269.923 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630269.923 * * [misc]simplify: iters left: 6 (18 enodes) 1547630269.931 * * [misc]simplify: iters left: 5 (30 enodes) 1547630269.938 * * [misc]simplify: iters left: 4 (41 enodes) 1547630269.952 * * [misc]simplify: iters left: 3 (76 enodes) 1547630269.978 * * [misc]simplify: iters left: 2 (142 enodes) 1547630270.075 * * [misc]simplify: iters left: 1 (391 enodes) 1547630270.343 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630270.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630270.343 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1547630270.343 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630270.343 * * [misc]simplify: iters left: 6 (13 enodes) 1547630270.347 * * [misc]simplify: iters left: 5 (21 enodes) 1547630270.353 * * [misc]simplify: iters left: 4 (31 enodes) 1547630270.362 * * [misc]simplify: iters left: 3 (51 enodes) 1547630270.379 * * [misc]simplify: iters left: 2 (90 enodes) 1547630270.405 * * [misc]simplify: iters left: 1 (181 enodes) 1547630270.453 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630270.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630270.453 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630270.453 * * [misc]simplify: iters left: 6 (15 enodes) 1547630270.456 * * [misc]simplify: iters left: 5 (25 enodes) 1547630270.460 * * [misc]simplify: iters left: 4 (38 enodes) 1547630270.466 * * [misc]simplify: iters left: 3 (73 enodes) 1547630270.480 * * [misc]simplify: iters left: 2 (139 enodes) 1547630270.531 * * [misc]simplify: iters left: 1 (375 enodes) 1547630270.730 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547630270.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1547630270.730 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1547630270.730 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630270.730 * * [misc]simplify: iters left: 6 (16 enodes) 1547630270.732 * * [misc]simplify: iters left: 5 (29 enodes) 1547630270.737 * * [misc]simplify: iters left: 4 (50 enodes) 1547630270.748 * * [misc]simplify: iters left: 3 (70 enodes) 1547630270.766 * * [misc]simplify: iters left: 2 (169 enodes) 1547630270.831 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1547630270.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630270.832 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630270.832 * * [misc]simplify: iters left: 6 (18 enodes) 1547630270.835 * * [misc]simplify: iters left: 5 (29 enodes) 1547630270.838 * * [misc]simplify: iters left: 4 (42 enodes) 1547630270.847 * * [misc]simplify: iters left: 3 (77 enodes) 1547630270.863 * * [misc]simplify: iters left: 2 (143 enodes) 1547630270.958 * * [misc]simplify: iters left: 1 (394 enodes) 1547630271.190 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547630271.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1547630271.190 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1547630271.190 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630271.190 * * [misc]simplify: iters left: 6 (15 enodes) 1547630271.192 * * [misc]simplify: iters left: 5 (24 enodes) 1547630271.197 * * [misc]simplify: iters left: 4 (34 enodes) 1547630271.202 * * [misc]simplify: iters left: 3 (54 enodes) 1547630271.211 * * [misc]simplify: iters left: 2 (93 enodes) 1547630271.224 * * [misc]simplify: iters left: 1 (182 enodes) 1547630271.280 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630271.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630271.280 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630271.281 * * [misc]simplify: iters left: 6 (18 enodes) 1547630271.287 * * [misc]simplify: iters left: 5 (29 enodes) 1547630271.295 * * [misc]simplify: iters left: 4 (42 enodes) 1547630271.309 * * [misc]simplify: iters left: 3 (77 enodes) 1547630271.335 * * [misc]simplify: iters left: 2 (143 enodes) 1547630271.393 * * [misc]simplify: iters left: 1 (394 enodes) 1547630271.621 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547630271.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1547630271.622 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1547630271.622 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547630271.622 * * [misc]simplify: iters left: 6 (7 enodes) 1547630271.623 * * [misc]simplify: iters left: 5 (13 enodes) 1547630271.625 * * [misc]simplify: iters left: 4 (22 enodes) 1547630271.628 * * [misc]simplify: iters left: 3 (24 enodes) 1547630271.630 * * [misc]simplify: iters left: 2 (29 enodes) 1547630271.633 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547630271.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630271.633 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630271.633 * * [misc]simplify: iters left: 6 (17 enodes) 1547630271.636 * * [misc]simplify: iters left: 5 (28 enodes) 1547630271.641 * * [misc]simplify: iters left: 4 (41 enodes) 1547630271.648 * * [misc]simplify: iters left: 3 (76 enodes) 1547630271.660 * * [misc]simplify: iters left: 2 (142 enodes) 1547630271.705 * * [misc]simplify: iters left: 1 (380 enodes) 1547630271.920 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630271.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630271.921 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1547630271.921 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630271.921 * * [misc]simplify: iters left: 6 (11 enodes) 1547630271.924 * * [misc]simplify: iters left: 5 (17 enodes) 1547630271.929 * * [misc]simplify: iters left: 4 (20 enodes) 1547630271.936 * * [misc]simplify: iters left: 3 (22 enodes) 1547630271.942 * * [misc]simplify: iters left: 2 (34 enodes) 1547630271.950 * * [misc]simplify: iters left: 1 (42 enodes) 1547630271.959 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630271.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630271.959 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630271.959 * * [misc]simplify: iters left: 6 (18 enodes) 1547630271.965 * * [misc]simplify: iters left: 5 (30 enodes) 1547630271.973 * * [misc]simplify: iters left: 4 (41 enodes) 1547630271.986 * * [misc]simplify: iters left: 3 (76 enodes) 1547630272.003 * * [misc]simplify: iters left: 2 (142 enodes) 1547630272.075 * * [misc]simplify: iters left: 1 (391 enodes) 1547630272.356 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630272.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630272.358 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1547630272.358 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630272.358 * * [misc]simplify: iters left: 6 (11 enodes) 1547630272.362 * * [misc]simplify: iters left: 5 (17 enodes) 1547630272.366 * * [misc]simplify: iters left: 4 (20 enodes) 1547630272.371 * * [misc]simplify: iters left: 3 (22 enodes) 1547630272.377 * * [misc]simplify: iters left: 2 (34 enodes) 1547630272.386 * * [misc]simplify: iters left: 1 (42 enodes) 1547630272.395 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630272.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630272.395 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630272.395 * * [misc]simplify: iters left: 6 (18 enodes) 1547630272.404 * * [misc]simplify: iters left: 5 (30 enodes) 1547630272.412 * * [misc]simplify: iters left: 4 (41 enodes) 1547630272.425 * * [misc]simplify: iters left: 3 (76 enodes) 1547630272.451 * * [misc]simplify: iters left: 2 (142 enodes) 1547630272.538 * * [misc]simplify: iters left: 1 (391 enodes) 1547630272.781 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630272.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630272.781 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1547630272.782 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630272.782 * * [misc]simplify: iters left: 6 (12 enodes) 1547630272.783 * * [misc]simplify: iters left: 5 (18 enodes) 1547630272.786 * * [misc]simplify: iters left: 4 (24 enodes) 1547630272.789 * * [misc]simplify: iters left: 3 (32 enodes) 1547630272.795 * * [misc]simplify: iters left: 2 (41 enodes) 1547630272.804 * * [misc]simplify: iters left: 1 (51 enodes) 1547630272.816 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630272.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630272.816 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630272.816 * * [misc]simplify: iters left: 6 (15 enodes) 1547630272.822 * * [misc]simplify: iters left: 5 (25 enodes) 1547630272.828 * * [misc]simplify: iters left: 4 (38 enodes) 1547630272.840 * * [misc]simplify: iters left: 3 (73 enodes) 1547630272.867 * * [misc]simplify: iters left: 2 (139 enodes) 1547630272.951 * * [misc]simplify: iters left: 1 (375 enodes) 1547630273.220 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547630273.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1547630273.221 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1547630273.221 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630273.221 * * [misc]simplify: iters left: 6 (15 enodes) 1547630273.223 * * [misc]simplify: iters left: 5 (24 enodes) 1547630273.226 * * [misc]simplify: iters left: 4 (32 enodes) 1547630273.230 * * [misc]simplify: iters left: 3 (43 enodes) 1547630273.241 * * [misc]simplify: iters left: 2 (69 enodes) 1547630273.262 * * [misc]simplify: iters left: 1 (119 enodes) 1547630273.316 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630273.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630273.316 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630273.317 * * [misc]simplify: iters left: 6 (18 enodes) 1547630273.323 * * [misc]simplify: iters left: 5 (29 enodes) 1547630273.331 * * [misc]simplify: iters left: 4 (42 enodes) 1547630273.344 * * [misc]simplify: iters left: 3 (77 enodes) 1547630273.372 * * [misc]simplify: iters left: 2 (143 enodes) 1547630273.446 * * [misc]simplify: iters left: 1 (394 enodes) 1547630273.708 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547630273.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1547630273.708 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1547630273.709 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630273.709 * * [misc]simplify: iters left: 6 (14 enodes) 1547630273.713 * * [misc]simplify: iters left: 5 (21 enodes) 1547630273.717 * * [misc]simplify: iters left: 4 (27 enodes) 1547630273.720 * * [misc]simplify: iters left: 3 (35 enodes) 1547630273.726 * * [misc]simplify: iters left: 2 (43 enodes) 1547630273.731 * * [misc]simplify: iters left: 1 (56 enodes) 1547630273.739 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630273.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630273.740 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630273.740 * * [misc]simplify: iters left: 6 (18 enodes) 1547630273.743 * * [misc]simplify: iters left: 5 (29 enodes) 1547630273.747 * * [misc]simplify: iters left: 4 (42 enodes) 1547630273.754 * * [misc]simplify: iters left: 3 (77 enodes) 1547630273.774 * * [misc]simplify: iters left: 2 (143 enodes) 1547630273.842 * * [misc]simplify: iters left: 1 (394 enodes) 1547630274.094 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547630274.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1547630274.094 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1547630274.094 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1547630274.094 * * [misc]simplify: iters left: 6 (6 enodes) 1547630274.095 * * [misc]simplify: iters left: 5 (10 enodes) 1547630274.097 * * [misc]simplify: iters left: 4 (16 enodes) 1547630274.099 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547630274.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630274.099 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630274.099 * * [misc]simplify: iters left: 6 (17 enodes) 1547630274.102 * * [misc]simplify: iters left: 5 (28 enodes) 1547630274.106 * * [misc]simplify: iters left: 4 (41 enodes) 1547630274.118 * * [misc]simplify: iters left: 3 (76 enodes) 1547630274.139 * * [misc]simplify: iters left: 2 (142 enodes) 1547630274.183 * * [misc]simplify: iters left: 1 (380 enodes) 1547630274.433 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547630274.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1547630274.433 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1547630274.433 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547630274.433 * * [misc]simplify: iters left: 6 (8 enodes) 1547630274.435 * * [misc]simplify: iters left: 5 (14 enodes) 1547630274.437 * * [misc]simplify: iters left: 4 (15 enodes) 1547630274.439 * * [misc]simplify: iters left: 3 (19 enodes) 1547630274.441 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547630274.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630274.441 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630274.441 * * [misc]simplify: iters left: 6 (17 enodes) 1547630274.445 * * [misc]simplify: iters left: 5 (29 enodes) 1547630274.448 * * [misc]simplify: iters left: 4 (40 enodes) 1547630274.461 * * [misc]simplify: iters left: 3 (75 enodes) 1547630274.477 * * [misc]simplify: iters left: 2 (141 enodes) 1547630274.534 * * [misc]simplify: iters left: 1 (379 enodes) 1547630274.802 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630274.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630274.803 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1547630274.803 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547630274.803 * * [misc]simplify: iters left: 6 (8 enodes) 1547630274.806 * * [misc]simplify: iters left: 5 (14 enodes) 1547630274.811 * * [misc]simplify: iters left: 4 (15 enodes) 1547630274.813 * * [misc]simplify: iters left: 3 (19 enodes) 1547630274.815 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547630274.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630274.815 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630274.815 * * [misc]simplify: iters left: 6 (17 enodes) 1547630274.818 * * [misc]simplify: iters left: 5 (29 enodes) 1547630274.822 * * [misc]simplify: iters left: 4 (40 enodes) 1547630274.828 * * [misc]simplify: iters left: 3 (75 enodes) 1547630274.841 * * [misc]simplify: iters left: 2 (141 enodes) 1547630274.902 * * [misc]simplify: iters left: 1 (379 enodes) 1547630275.129 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630275.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630275.130 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1547630275.130 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1547630275.130 * * [misc]simplify: iters left: 6 (10 enodes) 1547630275.132 * * [misc]simplify: iters left: 5 (16 enodes) 1547630275.134 * * [misc]simplify: iters left: 4 (20 enodes) 1547630275.137 * * [misc]simplify: iters left: 3 (24 enodes) 1547630275.139 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547630275.140 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630275.140 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630275.140 * * [misc]simplify: iters left: 6 (14 enodes) 1547630275.142 * * [misc]simplify: iters left: 5 (24 enodes) 1547630275.145 * * [misc]simplify: iters left: 4 (37 enodes) 1547630275.151 * * [misc]simplify: iters left: 3 (72 enodes) 1547630275.163 * * [misc]simplify: iters left: 2 (138 enodes) 1547630275.226 * * [misc]simplify: iters left: 1 (391 enodes) 1547630275.446 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1547630275.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1547630275.446 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1547630275.446 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630275.446 * * [misc]simplify: iters left: 6 (13 enodes) 1547630275.451 * * [misc]simplify: iters left: 5 (22 enodes) 1547630275.456 * * [misc]simplify: iters left: 4 (26 enodes) 1547630275.460 * * [misc]simplify: iters left: 3 (32 enodes) 1547630275.463 * * [misc]simplify: iters left: 2 (34 enodes) 1547630275.467 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630275.467 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630275.467 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630275.467 * * [misc]simplify: iters left: 6 (17 enodes) 1547630275.470 * * [misc]simplify: iters left: 5 (28 enodes) 1547630275.474 * * [misc]simplify: iters left: 4 (41 enodes) 1547630275.480 * * [misc]simplify: iters left: 3 (76 enodes) 1547630275.502 * * [misc]simplify: iters left: 2 (142 enodes) 1547630275.591 * * [misc]simplify: iters left: 1 (382 enodes) 1547630275.872 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547630275.873 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1547630275.873 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1547630275.873 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630275.873 * * [misc]simplify: iters left: 6 (12 enodes) 1547630275.875 * * [misc]simplify: iters left: 5 (19 enodes) 1547630275.877 * * [misc]simplify: iters left: 4 (23 enodes) 1547630275.881 * * [misc]simplify: iters left: 3 (27 enodes) 1547630275.884 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1547630275.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630275.884 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630275.884 * * [misc]simplify: iters left: 6 (17 enodes) 1547630275.890 * * [misc]simplify: iters left: 5 (28 enodes) 1547630275.898 * * [misc]simplify: iters left: 4 (41 enodes) 1547630275.910 * * [misc]simplify: iters left: 3 (76 enodes) 1547630275.938 * * [misc]simplify: iters left: 2 (142 enodes) 1547630275.999 * * [misc]simplify: iters left: 1 (382 enodes) 1547630276.297 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547630276.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1547630276.297 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1547630276.297 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1547630276.297 * * [misc]simplify: iters left: 4 (3 enodes) 1547630276.298 * * [misc]simplify: iters left: 3 (5 enodes) 1547630276.298 * [exit]simplify: Simplified to 1 1547630276.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630276.298 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630276.298 * * [misc]simplify: iters left: 6 (16 enodes) 1547630276.301 * * [misc]simplify: iters left: 5 (27 enodes) 1547630276.306 * * [misc]simplify: iters left: 4 (40 enodes) 1547630276.319 * * [misc]simplify: iters left: 3 (75 enodes) 1547630276.341 * * [misc]simplify: iters left: 2 (141 enodes) 1547630276.409 * * [misc]simplify: iters left: 1 (376 enodes) 1547630276.653 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630276.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1547630276.653 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1547630276.653 * [enter]simplify: Simplifying (/ 1 1) 1547630276.653 * * [misc]simplify: iters left: 2 (2 enodes) 1547630276.653 * * [misc]simplify: iters left: 1 (4 enodes) 1547630276.654 * [exit]simplify: Simplified to 1 1547630276.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630276.654 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630276.654 * * [misc]simplify: iters left: 6 (16 enodes) 1547630276.657 * * [misc]simplify: iters left: 5 (27 enodes) 1547630276.660 * * [misc]simplify: iters left: 4 (40 enodes) 1547630276.669 * * [misc]simplify: iters left: 3 (75 enodes) 1547630276.692 * * [misc]simplify: iters left: 2 (141 enodes) 1547630276.737 * * [misc]simplify: iters left: 1 (376 enodes) 1547630277.038 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547630277.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1547630277.038 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1547630277.038 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1547630277.038 * * [misc]simplify: iters left: 3 (4 enodes) 1547630277.039 * * [misc]simplify: iters left: 2 (6 enodes) 1547630277.039 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547630277.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630277.040 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547630277.040 * * [misc]simplify: iters left: 6 (15 enodes) 1547630277.042 * * [misc]simplify: iters left: 5 (26 enodes) 1547630277.046 * * [misc]simplify: iters left: 4 (35 enodes) 1547630277.051 * * [misc]simplify: iters left: 3 (61 enodes) 1547630277.071 * * [misc]simplify: iters left: 2 (82 enodes) 1547630277.086 * * [misc]simplify: iters left: 1 (85 enodes) 1547630277.102 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547630277.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1547630277.103 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1547630277.103 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1547630277.103 * * [misc]simplify: iters left: 6 (10 enodes) 1547630277.106 * * [misc]simplify: iters left: 5 (16 enodes) 1547630277.110 * * [misc]simplify: iters left: 4 (19 enodes) 1547630277.115 * * [misc]simplify: iters left: 3 (21 enodes) 1547630277.121 * * [misc]simplify: iters left: 2 (33 enodes) 1547630277.130 * * [misc]simplify: iters left: 1 (41 enodes) 1547630277.138 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547630277.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1547630277.138 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1547630277.138 * * [misc]simplify: iters left: 6 (14 enodes) 1547630277.143 * * [misc]simplify: iters left: 5 (23 enodes) 1547630277.149 * * [misc]simplify: iters left: 4 (30 enodes) 1547630277.158 * * [misc]simplify: iters left: 3 (42 enodes) 1547630277.170 * * [misc]simplify: iters left: 2 (67 enodes) 1547630277.195 * * [misc]simplify: iters left: 1 (88 enodes) 1547630277.221 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547630277.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1547630277.221 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1547630277.222 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630277.222 * * [misc]simplify: iters left: 6 (15 enodes) 1547630277.227 * * [misc]simplify: iters left: 5 (22 enodes) 1547630277.232 * * [misc]simplify: iters left: 4 (25 enodes) 1547630277.239 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630277.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630277.239 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.239 * * [misc]simplify: iters left: 6 (14 enodes) 1547630277.244 * * [misc]simplify: iters left: 5 (17 enodes) 1547630277.248 * * [misc]simplify: iters left: 4 (20 enodes) 1547630277.254 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630277.254 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1547630277.254 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.255 * * [misc]simplify: iters left: 6 (14 enodes) 1547630277.259 * * [misc]simplify: iters left: 5 (19 enodes) 1547630277.264 * * [misc]simplify: iters left: 4 (22 enodes) 1547630277.270 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630277.270 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.270 * * [misc]simplify: iters left: 6 (14 enodes) 1547630277.275 * * [misc]simplify: iters left: 5 (17 enodes) 1547630277.279 * * [misc]simplify: iters left: 4 (20 enodes) 1547630277.285 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630277.285 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1547630277.285 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630277.285 * * [misc]simplify: iters left: 6 (13 enodes) 1547630277.289 * * [misc]simplify: iters left: 5 (21 enodes) 1547630277.295 * * [misc]simplify: iters left: 4 (28 enodes) 1547630277.302 * * [misc]simplify: iters left: 3 (36 enodes) 1547630277.308 * * [misc]simplify: iters left: 2 (62 enodes) 1547630277.318 * * [misc]simplify: iters left: 1 (94 enodes) 1547630277.335 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1547630277.336 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630277.336 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630277.336 * * [misc]simplify: iters left: 6 (15 enodes) 1547630277.338 * * [misc]simplify: iters left: 5 (21 enodes) 1547630277.340 * * [misc]simplify: iters left: 4 (25 enodes) 1547630277.344 * * [misc]simplify: iters left: 3 (27 enodes) 1547630277.347 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630277.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630277.347 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1547630277.347 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547630277.347 * * [misc]simplify: iters left: 6 (13 enodes) 1547630277.349 * * [misc]simplify: iters left: 5 (21 enodes) 1547630277.352 * * [misc]simplify: iters left: 4 (28 enodes) 1547630277.355 * * [misc]simplify: iters left: 3 (36 enodes) 1547630277.361 * * [misc]simplify: iters left: 2 (62 enodes) 1547630277.376 * * [misc]simplify: iters left: 1 (94 enodes) 1547630277.395 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1547630277.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630277.396 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630277.396 * * [misc]simplify: iters left: 6 (15 enodes) 1547630277.399 * * [misc]simplify: iters left: 5 (21 enodes) 1547630277.401 * * [misc]simplify: iters left: 4 (25 enodes) 1547630277.404 * * [misc]simplify: iters left: 3 (27 enodes) 1547630277.408 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630277.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630277.408 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1547630277.409 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547630277.409 * * [misc]simplify: iters left: 6 (14 enodes) 1547630277.413 * * [misc]simplify: iters left: 5 (22 enodes) 1547630277.419 * * [misc]simplify: iters left: 4 (32 enodes) 1547630277.428 * * [misc]simplify: iters left: 3 (55 enodes) 1547630277.437 * * [misc]simplify: iters left: 2 (97 enodes) 1547630277.453 * * [misc]simplify: iters left: 1 (209 enodes) 1547630277.547 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630277.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630277.548 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630277.548 * * [misc]simplify: iters left: 6 (12 enodes) 1547630277.549 * * [misc]simplify: iters left: 5 (16 enodes) 1547630277.552 * * [misc]simplify: iters left: 4 (22 enodes) 1547630277.555 * * [misc]simplify: iters left: 3 (24 enodes) 1547630277.557 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547630277.558 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1547630277.558 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1547630277.558 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630277.558 * * [misc]simplify: iters left: 6 (17 enodes) 1547630277.560 * * [misc]simplify: iters left: 5 (30 enodes) 1547630277.565 * * [misc]simplify: iters left: 4 (51 enodes) 1547630277.572 * * [misc]simplify: iters left: 3 (67 enodes) 1547630277.583 * * [misc]simplify: iters left: 2 (156 enodes) 1547630277.630 * * [misc]simplify: iters left: 1 (456 enodes) 1547630277.928 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1547630277.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630277.928 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.928 * * [misc]simplify: iters left: 6 (15 enodes) 1547630277.931 * * [misc]simplify: iters left: 5 (20 enodes) 1547630277.936 * * [misc]simplify: iters left: 4 (26 enodes) 1547630277.939 * * [misc]simplify: iters left: 3 (28 enodes) 1547630277.943 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630277.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630277.943 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1547630277.943 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630277.943 * * [misc]simplify: iters left: 6 (16 enodes) 1547630277.946 * * [misc]simplify: iters left: 5 (25 enodes) 1547630277.949 * * [misc]simplify: iters left: 4 (35 enodes) 1547630277.954 * * [misc]simplify: iters left: 3 (58 enodes) 1547630277.964 * * [misc]simplify: iters left: 2 (99 enodes) 1547630277.979 * * [misc]simplify: iters left: 1 (192 enodes) 1547630278.027 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630278.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630278.027 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.028 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.030 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.033 * * [misc]simplify: iters left: 4 (26 enodes) 1547630278.036 * * [misc]simplify: iters left: 3 (28 enodes) 1547630278.040 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630278.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630278.040 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1547630278.040 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547630278.040 * * [misc]simplify: iters left: 6 (8 enodes) 1547630278.042 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.044 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.047 * * [misc]simplify: iters left: 3 (29 enodes) 1547630278.050 * * [misc]simplify: iters left: 2 (45 enodes) 1547630278.056 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547630278.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.056 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.056 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.058 * * [misc]simplify: iters left: 5 (19 enodes) 1547630278.061 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.064 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.069 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1547630278.069 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630278.069 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1547630278.071 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630278.071 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.073 * * [misc]simplify: iters left: 5 (18 enodes) 1547630278.075 * * [misc]simplify: iters left: 4 (21 enodes) 1547630278.078 * * [misc]simplify: iters left: 3 (23 enodes) 1547630278.081 * * [misc]simplify: iters left: 2 (35 enodes) 1547630278.085 * * [misc]simplify: iters left: 1 (43 enodes) 1547630278.090 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630278.090 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630278.090 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630278.090 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.092 * * [misc]simplify: iters left: 5 (21 enodes) 1547630278.095 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.098 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.101 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630278.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630278.101 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1547630278.102 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547630278.102 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.103 * * [misc]simplify: iters left: 5 (18 enodes) 1547630278.105 * * [misc]simplify: iters left: 4 (21 enodes) 1547630278.108 * * [misc]simplify: iters left: 3 (23 enodes) 1547630278.111 * * [misc]simplify: iters left: 2 (35 enodes) 1547630278.115 * * [misc]simplify: iters left: 1 (43 enodes) 1547630278.119 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547630278.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1547630278.119 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547630278.120 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.122 * * [misc]simplify: iters left: 5 (21 enodes) 1547630278.124 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.127 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.131 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547630278.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1547630278.131 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1547630278.131 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547630278.131 * * [misc]simplify: iters left: 6 (13 enodes) 1547630278.133 * * [misc]simplify: iters left: 5 (19 enodes) 1547630278.135 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.138 * * [misc]simplify: iters left: 3 (34 enodes) 1547630278.147 * * [misc]simplify: iters left: 2 (44 enodes) 1547630278.159 * * [misc]simplify: iters left: 1 (59 enodes) 1547630278.174 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630278.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1547630278.175 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547630278.175 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.179 * * [misc]simplify: iters left: 5 (16 enodes) 1547630278.183 * * [misc]simplify: iters left: 4 (22 enodes) 1547630278.188 * * [misc]simplify: iters left: 3 (24 enodes) 1547630278.191 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547630278.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1547630278.191 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1547630278.192 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.192 * * [misc]simplify: iters left: 6 (16 enodes) 1547630278.194 * * [misc]simplify: iters left: 5 (25 enodes) 1547630278.197 * * [misc]simplify: iters left: 4 (33 enodes) 1547630278.201 * * [misc]simplify: iters left: 3 (41 enodes) 1547630278.207 * * [misc]simplify: iters left: 2 (64 enodes) 1547630278.216 * * [misc]simplify: iters left: 1 (95 enodes) 1547630278.230 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547630278.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630278.230 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.230 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.232 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.234 * * [misc]simplify: iters left: 4 (26 enodes) 1547630278.239 * * [misc]simplify: iters left: 3 (28 enodes) 1547630278.245 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630278.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630278.245 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1547630278.245 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.245 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.250 * * [misc]simplify: iters left: 5 (22 enodes) 1547630278.256 * * [misc]simplify: iters left: 4 (28 enodes) 1547630278.263 * * [misc]simplify: iters left: 3 (37 enodes) 1547630278.274 * * [misc]simplify: iters left: 2 (47 enodes) 1547630278.286 * * [misc]simplify: iters left: 1 (62 enodes) 1547630278.302 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547630278.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630278.302 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.302 * * [misc]simplify: iters left: 6 (15 enodes) 1547630278.306 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.312 * * [misc]simplify: iters left: 4 (26 enodes) 1547630278.318 * * [misc]simplify: iters left: 3 (28 enodes) 1547630278.322 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630278.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1547630278.322 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1547630278.323 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1547630278.323 * * [misc]simplify: iters left: 6 (7 enodes) 1547630278.324 * * [misc]simplify: iters left: 5 (11 enodes) 1547630278.326 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.327 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547630278.327 * [misc]simplify: Simplified (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))))))) 1547630278.327 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.327 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.329 * * [misc]simplify: iters left: 5 (19 enodes) 1547630278.332 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.335 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.339 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1547630278.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630278.339 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1547630278.339 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1547630278.339 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.341 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.343 * [exit]simplify: Simplified to (sqrt (* n 2)) 1547630278.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630278.343 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630278.343 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.345 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.348 * * [misc]simplify: iters left: 4 (24 enodes) 1547630278.351 * * [misc]simplify: iters left: 3 (26 enodes) 1547630278.358 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630278.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630278.358 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1547630278.358 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1547630278.359 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.362 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.365 * [exit]simplify: Simplified to (sqrt (* n 2)) 1547630278.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1547630278.366 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547630278.366 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.368 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.371 * * [misc]simplify: iters left: 4 (24 enodes) 1547630278.374 * * [misc]simplify: iters left: 3 (26 enodes) 1547630278.377 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630278.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630278.377 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1547630278.377 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1547630278.378 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.380 * * [misc]simplify: iters left: 5 (17 enodes) 1547630278.382 * * [misc]simplify: iters left: 4 (20 enodes) 1547630278.384 * * [misc]simplify: iters left: 3 (24 enodes) 1547630278.387 * * [misc]simplify: iters left: 2 (26 enodes) 1547630278.390 * * [misc]simplify: iters left: 1 (28 enodes) 1547630278.393 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547630278.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630278.393 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630278.393 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.394 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.396 * * [misc]simplify: iters left: 4 (21 enodes) 1547630278.399 * * [misc]simplify: iters left: 3 (23 enodes) 1547630278.402 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547630278.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1547630278.402 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1547630278.402 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.402 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.405 * * [misc]simplify: iters left: 5 (23 enodes) 1547630278.407 * * [misc]simplify: iters left: 4 (26 enodes) 1547630278.411 * * [misc]simplify: iters left: 3 (31 enodes) 1547630278.414 * * [misc]simplify: iters left: 2 (34 enodes) 1547630278.418 * * [misc]simplify: iters left: 1 (48 enodes) 1547630278.432 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630278.432 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.432 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.436 * * [misc]simplify: iters left: 5 (19 enodes) 1547630278.441 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.448 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.455 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.456 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1547630278.456 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.456 * * [misc]simplify: iters left: 6 (13 enodes) 1547630278.461 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.465 * * [misc]simplify: iters left: 4 (23 enodes) 1547630278.471 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.477 * * [misc]simplify: iters left: 2 (29 enodes) 1547630278.484 * * [misc]simplify: iters left: 1 (31 enodes) 1547630278.491 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1547630278.491 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.492 * * [misc]simplify: iters left: 6 (14 enodes) 1547630278.496 * * [misc]simplify: iters left: 5 (19 enodes) 1547630278.501 * * [misc]simplify: iters left: 4 (25 enodes) 1547630278.507 * * [misc]simplify: iters left: 3 (27 enodes) 1547630278.514 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.514 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1547630278.515 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1547630278.515 * * [misc]simplify: iters left: 4 (3 enodes) 1547630278.515 * * [misc]simplify: iters left: 3 (5 enodes) 1547630278.516 * [exit]simplify: Simplified to 1 1547630278.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.516 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.516 * * [misc]simplify: iters left: 6 (13 enodes) 1547630278.518 * * [misc]simplify: iters left: 5 (18 enodes) 1547630278.520 * * [misc]simplify: iters left: 4 (24 enodes) 1547630278.523 * * [misc]simplify: iters left: 3 (26 enodes) 1547630278.526 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630278.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630278.527 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1547630278.527 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1547630278.527 * * [misc]simplify: iters left: 4 (3 enodes) 1547630278.527 * * [misc]simplify: iters left: 3 (5 enodes) 1547630278.528 * [exit]simplify: Simplified to 1 1547630278.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.528 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.528 * * [misc]simplify: iters left: 6 (13 enodes) 1547630278.530 * * [misc]simplify: iters left: 5 (18 enodes) 1547630278.532 * * [misc]simplify: iters left: 4 (24 enodes) 1547630278.535 * * [misc]simplify: iters left: 3 (26 enodes) 1547630278.538 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547630278.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1547630278.538 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1547630278.538 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1547630278.538 * * [misc]simplify: iters left: 4 (5 enodes) 1547630278.539 * * [misc]simplify: iters left: 3 (7 enodes) 1547630278.540 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547630278.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630278.540 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.540 * * [misc]simplify: iters left: 6 (13 enodes) 1547630278.542 * * [misc]simplify: iters left: 5 (20 enodes) 1547630278.544 * * [misc]simplify: iters left: 4 (26 enodes) 1547630278.548 * * [misc]simplify: iters left: 3 (36 enodes) 1547630278.552 * * [misc]simplify: iters left: 2 (38 enodes) 1547630278.556 * * [misc]simplify: iters left: 1 (43 enodes) 1547630278.561 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547630278.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1547630278.561 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1547630278.561 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1547630278.561 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.563 * * [misc]simplify: iters left: 5 (17 enodes) 1547630278.565 * * [misc]simplify: iters left: 4 (20 enodes) 1547630278.567 * * [misc]simplify: iters left: 3 (22 enodes) 1547630278.570 * * [misc]simplify: iters left: 2 (34 enodes) 1547630278.574 * * [misc]simplify: iters left: 1 (42 enodes) 1547630278.578 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547630278.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1547630278.578 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1547630278.578 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.580 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.581 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.584 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547630278.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1547630278.584 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1547630278.584 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1547630278.584 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1547630278.584 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1547630278.585 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.585 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.588 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.592 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.597 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.597 * [misc]simplify: Simplified (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))))))) 1547630278.597 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1547630278.597 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.597 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.601 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.604 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.609 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.609 * [misc]simplify: Simplified (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))))))) 1547630278.609 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1547630278.610 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630278.610 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.613 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.616 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630278.616 * [misc]simplify: Simplified (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))))) 1547630278.616 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1547630278.617 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630278.617 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.620 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.623 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630278.623 * [misc]simplify: Simplified (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))))) 1547630278.624 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1547630278.624 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630278.624 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.627 * * [misc]simplify: iters left: 5 (11 enodes) 1547630278.630 * * [misc]simplify: iters left: 4 (14 enodes) 1547630278.633 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630278.633 * [misc]simplify: Simplified (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)))))) 1547630278.633 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1547630278.634 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.634 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.637 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.641 * * [misc]simplify: iters left: 4 (18 enodes) 1547630278.646 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.646 * [misc]simplify: Simplified (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))))))) 1547630278.646 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1547630278.646 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.647 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.650 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.654 * * [misc]simplify: iters left: 4 (18 enodes) 1547630278.659 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.659 * [misc]simplify: Simplified (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))))))) 1547630278.659 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1547630278.659 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.659 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.663 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.667 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.672 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.672 * [misc]simplify: Simplified (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)))))) 1547630278.672 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1547630278.673 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630278.673 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.676 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.679 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630278.679 * [misc]simplify: Simplified (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))))) 1547630278.679 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1547630278.679 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630278.679 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.682 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.686 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630278.686 * [misc]simplify: Simplified (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))))) 1547630278.686 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1547630278.686 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630278.686 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.689 * * [misc]simplify: iters left: 5 (11 enodes) 1547630278.692 * * [misc]simplify: iters left: 4 (14 enodes) 1547630278.696 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630278.696 * [misc]simplify: Simplified (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)))))) 1547630278.696 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1547630278.696 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.697 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.700 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.704 * * [misc]simplify: iters left: 4 (18 enodes) 1547630278.709 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.709 * [misc]simplify: Simplified (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))))))) 1547630278.709 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1547630278.709 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.709 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.713 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.717 * * [misc]simplify: iters left: 4 (18 enodes) 1547630278.722 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.722 * [misc]simplify: Simplified (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))))))) 1547630278.722 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1547630278.722 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.722 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.725 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.730 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.734 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.734 * [misc]simplify: Simplified (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)))))) 1547630278.734 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1547630278.735 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547630278.735 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.737 * * [misc]simplify: iters left: 5 (12 enodes) 1547630278.741 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547630278.741 * [misc]simplify: Simplified (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))))) 1547630278.741 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1547630278.741 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547630278.741 * * [misc]simplify: iters left: 6 (9 enodes) 1547630278.744 * * [misc]simplify: iters left: 5 (12 enodes) 1547630278.747 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547630278.747 * [misc]simplify: Simplified (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))))) 1547630278.747 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1547630278.748 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547630278.748 * * [misc]simplify: iters left: 6 (8 enodes) 1547630278.750 * * [misc]simplify: iters left: 5 (10 enodes) 1547630278.753 * * [misc]simplify: iters left: 4 (13 enodes) 1547630278.756 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547630278.756 * [misc]simplify: Simplified (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)))))) 1547630278.756 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1547630278.757 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.757 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.760 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.764 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.768 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.768 * [misc]simplify: Simplified (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))))))) 1547630278.768 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1547630278.769 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.769 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.772 * * [misc]simplify: iters left: 5 (14 enodes) 1547630278.776 * * [misc]simplify: iters left: 4 (17 enodes) 1547630278.780 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630278.780 * [misc]simplify: Simplified (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))))))) 1547630278.780 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1547630278.780 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.781 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.783 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.787 * * [misc]simplify: iters left: 4 (16 enodes) 1547630278.791 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.791 * [misc]simplify: Simplified (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)))))) 1547630278.791 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1547630278.792 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.792 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.794 * * [misc]simplify: iters left: 5 (13 enodes) 1547630278.798 * * [misc]simplify: iters left: 4 (16 enodes) 1547630278.802 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630278.803 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1547630278.803 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1547630278.803 * * [misc]simplify: iters left: 6 (10 enodes) 1547630278.806 * * [misc]simplify: iters left: 5 (15 enodes) 1547630278.810 * * [misc]simplify: iters left: 4 (18 enodes) 1547630278.814 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1547630278.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630278.814 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1547630278.815 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547630278.815 * * [misc]simplify: iters left: 3 (6 enodes) 1547630278.816 * * [misc]simplify: iters left: 2 (7 enodes) 1547630278.818 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547630278.818 * [misc]simplify: Simplified (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)))) 1547630278.818 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1547630278.819 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1547630278.819 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.824 * * [misc]simplify: iters left: 5 (18 enodes) 1547630278.828 * * [misc]simplify: iters left: 4 (22 enodes) 1547630278.834 * * [misc]simplify: iters left: 3 (26 enodes) 1547630278.840 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630278.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1547630278.840 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1547630278.841 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1547630278.841 * * [misc]simplify: iters left: 6 (11 enodes) 1547630278.845 * * [misc]simplify: iters left: 5 (17 enodes) 1547630278.850 * * [misc]simplify: iters left: 4 (21 enodes) 1547630278.856 * * [misc]simplify: iters left: 3 (25 enodes) 1547630278.861 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547630278.862 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1547630278.862 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1547630278.862 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1547630278.862 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1547630278.862 * [enter]simplify: Simplifying (/ 1 1) 1547630278.862 * * [misc]simplify: iters left: 2 (2 enodes) 1547630278.863 * * [misc]simplify: iters left: 1 (4 enodes) 1547630278.864 * [exit]simplify: Simplified to 1 1547630278.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1547630278.864 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1547630278.864 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547630278.864 * * [misc]simplify: iters left: 5 (8 enodes) 1547630278.866 * * [misc]simplify: iters left: 4 (11 enodes) 1547630278.869 * * [misc]simplify: iters left: 3 (14 enodes) 1547630278.873 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547630278.873 * [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))))) 1547630278.873 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1547630278.873 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1547630278.874 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1547630278.874 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630278.874 * * [misc]simplify: iters left: 6 (12 enodes) 1547630278.878 * * [misc]simplify: iters left: 5 (21 enodes) 1547630278.882 * * [misc]simplify: iters left: 4 (44 enodes) 1547630278.891 * * [misc]simplify: iters left: 3 (125 enodes) 1547630278.927 * * [misc]simplify: iters left: 2 (343 enodes) 1547630279.070 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1547630279.070 * [misc]simplify: Simplified (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))))))) 1547630279.070 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1547630279.071 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630279.071 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.073 * * [misc]simplify: iters left: 5 (21 enodes) 1547630279.076 * * [misc]simplify: iters left: 4 (44 enodes) 1547630279.086 * * [misc]simplify: iters left: 3 (125 enodes) 1547630279.122 * * [misc]simplify: iters left: 2 (343 enodes) 1547630279.237 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1547630279.237 * [misc]simplify: Simplified (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))))))) 1547630279.238 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1547630279.238 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.238 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.242 * * [misc]simplify: iters left: 5 (19 enodes) 1547630279.248 * * [misc]simplify: iters left: 4 (32 enodes) 1547630279.258 * * [misc]simplify: iters left: 3 (67 enodes) 1547630279.284 * * [misc]simplify: iters left: 2 (194 enodes) 1547630279.353 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630279.353 * [misc]simplify: Simplified (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))))))) 1547630279.353 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1547630279.353 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1547630279.353 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1547630279.353 * [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))))) 1547630279.353 * * [misc]simplify: iters left: 6 (14 enodes) 1547630279.355 * * [misc]simplify: iters left: 5 (26 enodes) 1547630279.359 * * [misc]simplify: iters left: 4 (58 enodes) 1547630279.369 * * [misc]simplify: iters left: 3 (117 enodes) 1547630279.402 * * [misc]simplify: iters left: 2 (193 enodes) 1547630279.455 * * [misc]simplify: iters left: 1 (263 enodes) 1547630279.532 * [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))))) 1547630279.532 * [misc]simplify: Simplified (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)))))))) 1547630279.532 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1547630279.532 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1547630279.532 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1547630279.532 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1547630279.532 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1547630279.533 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1547630279.533 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.536 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.539 * * [misc]simplify: iters left: 4 (16 enodes) 1547630279.543 * * [misc]simplify: iters left: 3 (17 enodes) 1547630279.548 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1547630279.548 * [misc]simplify: Simplified (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))))))) 1547630279.548 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630279.548 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.549 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.551 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630279.551 * [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 (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1547630279.551 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1547630279.551 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1547630279.551 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.553 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.554 * * [misc]simplify: iters left: 4 (16 enodes) 1547630279.557 * * [misc]simplify: iters left: 3 (17 enodes) 1547630279.560 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1547630279.560 * [misc]simplify: Simplified (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))))))) 1547630279.560 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630279.560 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.561 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.563 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630279.563 * [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 (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1547630279.563 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1547630279.563 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1547630279.563 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.565 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.567 * * [misc]simplify: iters left: 4 (20 enodes) 1547630279.569 * * [misc]simplify: iters left: 3 (21 enodes) 1547630279.572 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1547630279.572 * [misc]simplify: Simplified (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))))))) 1547630279.572 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630279.572 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.573 * * [misc]simplify: iters left: 5 (11 enodes) 1547630279.575 * * [misc]simplify: iters left: 4 (14 enodes) 1547630279.577 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630279.577 * [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))))))) 1547630279.577 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1547630279.577 * [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)))))) 1547630279.577 * * [misc]simplify: iters left: 6 (14 enodes) 1547630279.579 * * [misc]simplify: iters left: 5 (23 enodes) 1547630279.582 * * [misc]simplify: iters left: 4 (35 enodes) 1547630279.588 * * [misc]simplify: iters left: 3 (38 enodes) 1547630279.596 * * [misc]simplify: iters left: 2 (41 enodes) 1547630279.605 * [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)))))) 1547630279.605 * [misc]simplify: Simplified (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)))))))) 1547630279.606 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.606 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.609 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.612 * * [misc]simplify: iters left: 4 (18 enodes) 1547630279.617 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.617 * [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)))))))) 1547630279.617 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1547630279.617 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.617 * * [misc]simplify: iters left: 6 (13 enodes) 1547630279.621 * * [misc]simplify: iters left: 5 (18 enodes) 1547630279.625 * * [misc]simplify: iters left: 4 (23 enodes) 1547630279.630 * * [misc]simplify: iters left: 3 (24 enodes) 1547630279.636 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.636 * [misc]simplify: Simplified (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)))))))) 1547630279.637 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.637 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.640 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.643 * * [misc]simplify: iters left: 4 (18 enodes) 1547630279.646 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.646 * [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)))))))) 1547630279.646 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1547630279.646 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1547630279.647 * * [misc]simplify: iters left: 6 (6 enodes) 1547630279.647 * * [misc]simplify: iters left: 5 (10 enodes) 1547630279.649 * * [misc]simplify: iters left: 4 (16 enodes) 1547630279.651 * * [misc]simplify: iters left: 3 (18 enodes) 1547630279.653 * * [misc]simplify: iters left: 2 (23 enodes) 1547630279.656 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630279.656 * [misc]simplify: Simplified (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))))))) 1547630279.656 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.656 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.658 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.659 * * [misc]simplify: iters left: 4 (17 enodes) 1547630279.662 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.662 * [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 (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547630279.662 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1547630279.662 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1547630279.662 * * [misc]simplify: iters left: 5 (9 enodes) 1547630279.663 * * [misc]simplify: iters left: 4 (11 enodes) 1547630279.664 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1547630279.664 * [misc]simplify: Simplified (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))))))) 1547630279.665 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630279.665 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.666 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.668 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630279.668 * [misc]simplify: Simplified (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)))))) 1547630279.668 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1547630279.669 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1547630279.669 * * [misc]simplify: iters left: 5 (9 enodes) 1547630279.671 * * [misc]simplify: iters left: 4 (11 enodes) 1547630279.673 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1547630279.673 * [misc]simplify: Simplified (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))))))) 1547630279.674 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547630279.674 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.676 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.679 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547630279.679 * [misc]simplify: Simplified (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)))))) 1547630279.679 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1547630279.680 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1547630279.680 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.683 * * [misc]simplify: iters left: 5 (12 enodes) 1547630279.686 * * [misc]simplify: iters left: 4 (15 enodes) 1547630279.689 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1547630279.689 * [misc]simplify: Simplified (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))))))) 1547630279.689 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630279.689 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.690 * * [misc]simplify: iters left: 5 (11 enodes) 1547630279.691 * * [misc]simplify: iters left: 4 (14 enodes) 1547630279.693 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547630279.693 * [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))))))) 1547630279.693 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1547630279.694 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630279.694 * * [misc]simplify: iters left: 6 (13 enodes) 1547630279.695 * * [misc]simplify: iters left: 5 (18 enodes) 1547630279.698 * * [misc]simplify: iters left: 4 (21 enodes) 1547630279.701 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630279.701 * [misc]simplify: Simplified (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)))))))) 1547630279.701 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.701 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.703 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.704 * * [misc]simplify: iters left: 4 (18 enodes) 1547630279.707 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.707 * [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)))))))) 1547630279.707 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1547630279.707 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.707 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.709 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.711 * * [misc]simplify: iters left: 4 (18 enodes) 1547630279.713 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.713 * [misc]simplify: Simplified (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)))))))) 1547630279.713 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.713 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.715 * * [misc]simplify: iters left: 5 (15 enodes) 1547630279.717 * * [misc]simplify: iters left: 4 (18 enodes) 1547630279.719 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.719 * [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)))))))) 1547630279.719 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1547630279.719 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1547630279.719 * * [misc]simplify: iters left: 4 (5 enodes) 1547630279.720 * * [misc]simplify: iters left: 3 (7 enodes) 1547630279.721 * * [misc]simplify: iters left: 2 (9 enodes) 1547630279.722 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630279.722 * [misc]simplify: Simplified (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))))))) 1547630279.722 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.722 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.724 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.725 * * [misc]simplify: iters left: 4 (17 enodes) 1547630279.728 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.728 * [misc]simplify: Simplified (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))))))) 1547630279.728 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1547630279.728 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1547630279.728 * * [misc]simplify: iters left: 5 (7 enodes) 1547630279.729 * * [misc]simplify: iters left: 4 (11 enodes) 1547630279.730 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1547630279.730 * [misc]simplify: Simplified (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))))))) 1547630279.730 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547630279.730 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.732 * * [misc]simplify: iters left: 5 (12 enodes) 1547630279.735 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547630279.735 * [misc]simplify: Simplified (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)))))) 1547630279.735 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1547630279.736 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1547630279.736 * * [misc]simplify: iters left: 5 (7 enodes) 1547630279.738 * * [misc]simplify: iters left: 4 (11 enodes) 1547630279.741 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1547630279.742 * [misc]simplify: Simplified (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))))))) 1547630279.742 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547630279.742 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.745 * * [misc]simplify: iters left: 5 (12 enodes) 1547630279.748 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547630279.748 * [misc]simplify: Simplified (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)))))) 1547630279.748 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1547630279.748 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1547630279.748 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.751 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.755 * * [misc]simplify: iters left: 4 (16 enodes) 1547630279.757 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1547630279.757 * [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))))))) 1547630279.757 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547630279.757 * * [misc]simplify: iters left: 6 (8 enodes) 1547630279.758 * * [misc]simplify: iters left: 5 (10 enodes) 1547630279.760 * * [misc]simplify: iters left: 4 (13 enodes) 1547630279.761 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547630279.761 * [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))))))) 1547630279.761 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1547630279.761 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630279.762 * * [misc]simplify: iters left: 6 (12 enodes) 1547630279.763 * * [misc]simplify: iters left: 5 (19 enodes) 1547630279.766 * * [misc]simplify: iters left: 4 (22 enodes) 1547630279.768 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630279.768 * [misc]simplify: Simplified (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)))))))) 1547630279.769 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.769 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.771 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.773 * * [misc]simplify: iters left: 4 (17 enodes) 1547630279.775 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.775 * [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)))))))) 1547630279.775 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1547630279.775 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.775 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.777 * * [misc]simplify: iters left: 5 (16 enodes) 1547630279.779 * * [misc]simplify: iters left: 4 (19 enodes) 1547630279.781 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547630279.781 * [misc]simplify: Simplified (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)))))))) 1547630279.781 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.781 * * [misc]simplify: iters left: 6 (11 enodes) 1547630279.783 * * [misc]simplify: iters left: 5 (14 enodes) 1547630279.785 * * [misc]simplify: iters left: 4 (17 enodes) 1547630279.787 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547630279.787 * [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)))))))) 1547630279.787 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1547630279.787 * [enter]simplify: Simplifying (/ 1 1) 1547630279.787 * * [misc]simplify: iters left: 2 (2 enodes) 1547630279.787 * * [misc]simplify: iters left: 1 (4 enodes) 1547630279.788 * [exit]simplify: Simplified to 1 1547630279.788 * [misc]simplify: Simplified (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))))))) 1547630279.788 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.788 * * [misc]simplify: iters left: 6 (10 enodes) 1547630279.789 * * [misc]simplify: iters left: 5 (13 enodes) 1547630279.791 * * [misc]simplify: iters left: 4 (16 enodes) 1547630279.793 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.793 * [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))))))) 1547630279.793 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1547630279.793 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1547630279.793 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1547630279.793 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1547630279.793 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630279.793 * * [misc]simplify: iters left: 5 (7 enodes) 1547630279.794 * * [misc]simplify: iters left: 4 (10 enodes) 1547630279.796 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630279.796 * [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)))))) 1547630279.796 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1547630279.796 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630279.796 * * [misc]simplify: iters left: 5 (7 enodes) 1547630279.797 * * [misc]simplify: iters left: 4 (10 enodes) 1547630279.798 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630279.798 * [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)))))) 1547630279.798 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1547630279.798 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1547630279.798 * * [misc]simplify: iters left: 5 (6 enodes) 1547630279.799 * * [misc]simplify: iters left: 4 (8 enodes) 1547630279.800 * * [misc]simplify: iters left: 3 (11 enodes) 1547630279.802 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1547630279.802 * [misc]simplify: Simplified (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)))))) 1547630279.802 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1547630279.802 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.802 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.804 * * [misc]simplify: iters left: 5 (12 enodes) 1547630279.805 * * [misc]simplify: iters left: 4 (15 enodes) 1547630279.807 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.807 * [misc]simplify: Simplified (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))))))) 1547630279.807 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1547630279.807 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.807 * * [misc]simplify: iters left: 6 (9 enodes) 1547630279.809 * * [misc]simplify: iters left: 5 (12 enodes) 1547630279.810 * * [misc]simplify: iters left: 4 (15 enodes) 1547630279.812 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630279.812 * [misc]simplify: Simplified (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))))))) 1547630279.812 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1547630279.812 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547630279.812 * * [misc]simplify: iters left: 5 (8 enodes) 1547630279.814 * * [misc]simplify: iters left: 4 (11 enodes) 1547630279.815 * * [misc]simplify: iters left: 3 (14 enodes) 1547630279.817 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547630279.817 * [misc]simplify: Simplified (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)))))) 1547630279.817 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1547630279.817 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630279.817 * * [misc]simplify: iters left: 4 (4 enodes) 1547630279.818 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547630279.818 * [misc]simplify: Simplified (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)))))) 1547630279.818 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1547630279.819 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547630279.819 * * [misc]simplify: iters left: 2 (3 enodes) 1547630279.819 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630279.819 * [misc]simplify: Simplified (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)))))) 1547630279.820 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1547630279.820 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1547630279.820 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547630279.820 * * [misc]simplify: iters left: 3 (6 enodes) 1547630279.821 * * [misc]simplify: iters left: 2 (7 enodes) 1547630279.822 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547630279.822 * [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))))) 1547630279.822 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1547630279.823 * [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))))) 1547630279.823 * * [misc]simplify: iters left: 6 (35 enodes) 1547630279.831 * * [misc]simplify: iters left: 5 (99 enodes) 1547630279.858 * * [misc]simplify: iters left: 4 (298 enodes) 1547630279.976 * [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))))))) 1547630279.976 * [misc]simplify: Simplified (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)))))))))) 1547630279.976 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1547630279.977 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1547630279.977 * * [misc]simplify: iters left: 6 (13 enodes) 1547630279.982 * * [misc]simplify: iters left: 5 (27 enodes) 1547630279.995 * * [misc]simplify: iters left: 4 (53 enodes) 1547630280.012 * * [misc]simplify: iters left: 3 (116 enodes) 1547630280.051 * * [misc]simplify: iters left: 2 (362 enodes) 1547630280.312 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1547630280.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1547630280.312 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1547630280.312 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1547630280.312 * * [misc]simplify: iters left: 6 (13 enodes) 1547630280.315 * * [misc]simplify: iters left: 5 (24 enodes) 1547630280.319 * * [misc]simplify: iters left: 4 (54 enodes) 1547630280.330 * * [misc]simplify: iters left: 3 (143 enodes) 1547630280.386 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1547630280.386 * [misc]simplify: Simplified (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))))))) 1547630280.386 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1547630280.386 * [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)))) 1547630280.386 * * [misc]simplify: iters left: 6 (18 enodes) 1547630280.393 * * [misc]simplify: iters left: 5 (39 enodes) 1547630280.407 * * [misc]simplify: iters left: 4 (104 enodes) 1547630280.445 * * [misc]simplify: iters left: 3 (275 enodes) 1547630280.545 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1547630280.545 * [misc]simplify: Simplified (2 1 2 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)))))) 1547630280.545 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1547630280.546 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547630280.546 * * [misc]simplify: iters left: 5 (6 enodes) 1547630280.547 * * [misc]simplify: iters left: 4 (9 enodes) 1547630280.548 * * [misc]simplify: iters left: 3 (17 enodes) 1547630280.550 * * [misc]simplify: iters left: 2 (20 enodes) 1547630280.553 * * [misc]simplify: iters left: 1 (24 enodes) 1547630280.559 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1547630280.559 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630280.559 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1547630280.559 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547630280.560 * * [misc]simplify: iters left: 5 (6 enodes) 1547630280.561 * * [misc]simplify: iters left: 4 (9 enodes) 1547630280.565 * * [misc]simplify: iters left: 3 (17 enodes) 1547630280.569 * * [misc]simplify: iters left: 2 (20 enodes) 1547630280.574 * * [misc]simplify: iters left: 1 (24 enodes) 1547630280.582 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1547630280.582 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630280.582 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1547630280.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1547630280.583 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630280.583 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1547630280.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1547630280.583 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630280.583 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1547630280.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1547630280.583 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630280.583 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1547630280.584 * [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)))))))))))) 1547630280.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547630280.584 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1547630280.584 * [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))))))))))) 1547630280.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547630280.584 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1547630280.585 * [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))))))))) 1547630280.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547630280.585 * * * [misc]progress: adding candidates to table 1547630283.913 * * [misc]progress: iteration 4 / 4 1547630283.913 * * * [misc]progress: picking best candidate 1547630283.956 * * * * [misc]pick: Picked # 1547630283.956 * * * [misc]progress: localizing error 1547630283.968 * * * [misc]progress: generating rewritten candidates 1547630283.968 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1547630283.971 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1547630283.973 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1547630283.988 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1547630284.001 * * * [misc]progress: generating series expansions 1547630284.001 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1547630284.001 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1547630284.001 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1547630284.001 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630284.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630284.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630284.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.001 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.001 * [misc]taylor: Taking taylor expansion of k in k 1547630284.002 * [misc]backup-simplify: Simplify 0 into 0 1547630284.002 * [misc]backup-simplify: Simplify 1 into 1 1547630284.002 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630284.002 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630284.002 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.002 * [misc]backup-simplify: Simplify 2 into 2 1547630284.002 * [misc]taylor: Taking taylor expansion of n in k 1547630284.002 * [misc]backup-simplify: Simplify n into n 1547630284.002 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630284.002 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630284.002 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.002 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.002 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.003 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630284.003 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630284.003 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.003 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.003 * [misc]taylor: Taking taylor expansion of k in n 1547630284.003 * [misc]backup-simplify: Simplify k into k 1547630284.003 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.003 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.003 * [misc]backup-simplify: Simplify 2 into 2 1547630284.003 * [misc]taylor: Taking taylor expansion of n in n 1547630284.003 * [misc]backup-simplify: Simplify 0 into 0 1547630284.003 * [misc]backup-simplify: Simplify 1 into 1 1547630284.003 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.004 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.004 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.004 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.004 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.004 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.005 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630284.005 * [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)))) 1547630284.005 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.005 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.005 * [misc]taylor: Taking taylor expansion of k in n 1547630284.005 * [misc]backup-simplify: Simplify k into k 1547630284.005 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.005 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.005 * [misc]backup-simplify: Simplify 2 into 2 1547630284.005 * [misc]taylor: Taking taylor expansion of n in n 1547630284.005 * [misc]backup-simplify: Simplify 0 into 0 1547630284.005 * [misc]backup-simplify: Simplify 1 into 1 1547630284.005 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.006 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.006 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.006 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.006 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.006 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.006 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.007 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630284.007 * [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)))) 1547630284.007 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1547630284.007 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1547630284.007 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1547630284.007 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547630284.007 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.007 * [misc]backup-simplify: Simplify 2 into 2 1547630284.007 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.007 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630284.008 * [misc]taylor: Taking taylor expansion of n in k 1547630284.008 * [misc]backup-simplify: Simplify n into n 1547630284.008 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630284.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.008 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.008 * [misc]taylor: Taking taylor expansion of k in k 1547630284.008 * [misc]backup-simplify: Simplify 0 into 0 1547630284.008 * [misc]backup-simplify: Simplify 1 into 1 1547630284.008 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1547630284.008 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.008 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.009 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.009 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1547630284.009 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547630284.009 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547630284.010 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.012 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.012 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547630284.013 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.013 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.013 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.013 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1547630284.015 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.015 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.015 * [misc]backup-simplify: Simplify 0 into 0 1547630284.015 * [misc]backup-simplify: Simplify 0 into 0 1547630284.015 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.015 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.015 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.018 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547630284.019 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.019 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1547630284.020 * [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))))) 1547630284.021 * [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))))) 1547630284.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630284.026 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630284.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547630284.026 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.027 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.027 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1547630284.029 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547630284.029 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.029 * [misc]backup-simplify: Simplify 0 into 0 1547630284.029 * [misc]backup-simplify: Simplify 0 into 0 1547630284.030 * [misc]backup-simplify: Simplify 0 into 0 1547630284.030 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.030 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.034 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630284.036 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547630284.036 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.037 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1547630284.038 * [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))))) 1547630284.040 * [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))))) 1547630284.042 * [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))))) 1547630284.043 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.043 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547630284.043 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.043 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.043 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of k in k 1547630284.043 * [misc]backup-simplify: Simplify 0 into 0 1547630284.043 * [misc]backup-simplify: Simplify 1 into 1 1547630284.043 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.043 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630284.043 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.044 * [misc]backup-simplify: Simplify 2 into 2 1547630284.044 * [misc]taylor: Taking taylor expansion of n in k 1547630284.044 * [misc]backup-simplify: Simplify n into n 1547630284.044 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630284.044 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630284.044 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.044 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.044 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.044 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630284.044 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.044 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of k in n 1547630284.045 * [misc]backup-simplify: Simplify k into k 1547630284.045 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.045 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.045 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.045 * [misc]backup-simplify: Simplify 2 into 2 1547630284.045 * [misc]taylor: Taking taylor expansion of n in n 1547630284.045 * [misc]backup-simplify: Simplify 0 into 0 1547630284.045 * [misc]backup-simplify: Simplify 1 into 1 1547630284.045 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.045 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.045 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.045 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.046 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.046 * [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))) 1547630284.047 * [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)))) 1547630284.047 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.047 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.047 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of k in n 1547630284.047 * [misc]backup-simplify: Simplify k into k 1547630284.047 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.047 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.047 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.047 * [misc]backup-simplify: Simplify 2 into 2 1547630284.047 * [misc]taylor: Taking taylor expansion of n in n 1547630284.047 * [misc]backup-simplify: Simplify 0 into 0 1547630284.047 * [misc]backup-simplify: Simplify 1 into 1 1547630284.047 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.048 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.048 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.048 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.048 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.048 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.049 * [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))) 1547630284.049 * [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)))) 1547630284.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1547630284.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1547630284.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.049 * [misc]taylor: Taking taylor expansion of k in k 1547630284.049 * [misc]backup-simplify: Simplify 0 into 0 1547630284.049 * [misc]backup-simplify: Simplify 1 into 1 1547630284.050 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.050 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1547630284.050 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547630284.050 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.050 * [misc]backup-simplify: Simplify 2 into 2 1547630284.050 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.050 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630284.050 * [misc]taylor: Taking taylor expansion of n in k 1547630284.050 * [misc]backup-simplify: Simplify n into n 1547630284.050 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630284.050 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.050 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.051 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.051 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630284.051 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1547630284.051 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1547630284.051 * [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)))) 1547630284.052 * [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)))) 1547630284.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630284.055 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.055 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.055 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.056 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.056 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630284.057 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.058 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.058 * [misc]backup-simplify: Simplify 0 into 0 1547630284.058 * [misc]backup-simplify: Simplify 0 into 0 1547630284.058 * [misc]backup-simplify: Simplify 0 into 0 1547630284.058 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.062 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630284.063 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.063 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.063 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.063 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.064 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.064 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547630284.066 * [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 1547630284.066 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.067 * [misc]backup-simplify: Simplify 0 into 0 1547630284.067 * [misc]backup-simplify: Simplify 0 into 0 1547630284.067 * [misc]backup-simplify: Simplify 0 into 0 1547630284.067 * [misc]backup-simplify: Simplify 0 into 0 1547630284.067 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.075 * [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 1547630284.075 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630284.076 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.076 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.076 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.077 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1547630284.080 * [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 1547630284.080 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.080 * [misc]backup-simplify: Simplify 0 into 0 1547630284.080 * [misc]backup-simplify: Simplify 0 into 0 1547630284.081 * [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)))) 1547630284.081 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.081 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547630284.081 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.081 * [misc]taylor: Taking taylor expansion of k in k 1547630284.081 * [misc]backup-simplify: Simplify 0 into 0 1547630284.081 * [misc]backup-simplify: Simplify 1 into 1 1547630284.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.082 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.082 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630284.082 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630284.082 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.082 * [misc]backup-simplify: Simplify -2 into -2 1547630284.082 * [misc]taylor: Taking taylor expansion of n in k 1547630284.082 * [misc]backup-simplify: Simplify n into n 1547630284.082 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630284.082 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630284.082 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.082 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.082 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630284.082 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.083 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of k in n 1547630284.083 * [misc]backup-simplify: Simplify k into k 1547630284.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.083 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.083 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.083 * [misc]backup-simplify: Simplify -2 into -2 1547630284.083 * [misc]taylor: Taking taylor expansion of n in n 1547630284.083 * [misc]backup-simplify: Simplify 0 into 0 1547630284.083 * [misc]backup-simplify: Simplify 1 into 1 1547630284.083 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.083 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.084 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.084 * [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))) 1547630284.085 * [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)))) 1547630284.085 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of k in n 1547630284.085 * [misc]backup-simplify: Simplify k into k 1547630284.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.085 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.085 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.085 * [misc]backup-simplify: Simplify -2 into -2 1547630284.085 * [misc]taylor: Taking taylor expansion of n in n 1547630284.085 * [misc]backup-simplify: Simplify 0 into 0 1547630284.085 * [misc]backup-simplify: Simplify 1 into 1 1547630284.085 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.086 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.086 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.086 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.086 * [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))) 1547630284.087 * [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)))) 1547630284.087 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of k in k 1547630284.087 * [misc]backup-simplify: Simplify 0 into 0 1547630284.087 * [misc]backup-simplify: Simplify 1 into 1 1547630284.087 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.087 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1547630284.087 * [misc]taylor: Taking taylor expansion of (log -2) in k 1547630284.088 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.088 * [misc]backup-simplify: Simplify -2 into -2 1547630284.088 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.088 * [misc]taylor: Taking taylor expansion of (log n) in k 1547630284.088 * [misc]taylor: Taking taylor expansion of n in k 1547630284.088 * [misc]backup-simplify: Simplify n into n 1547630284.088 * [misc]backup-simplify: Simplify (log n) into (log n) 1547630284.088 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.088 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547630284.088 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1547630284.089 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1547630284.089 * [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)))) 1547630284.089 * [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)))) 1547630284.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630284.096 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630284.096 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.097 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630284.099 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.099 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.099 * [misc]backup-simplify: Simplify 0 into 0 1547630284.099 * [misc]backup-simplify: Simplify 0 into 0 1547630284.099 * [misc]backup-simplify: Simplify 0 into 0 1547630284.099 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.102 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547630284.102 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.103 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547630284.104 * [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 1547630284.104 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.104 * [misc]backup-simplify: Simplify 0 into 0 1547630284.104 * [misc]backup-simplify: Simplify 0 into 0 1547630284.104 * [misc]backup-simplify: Simplify 0 into 0 1547630284.104 * [misc]backup-simplify: Simplify 0 into 0 1547630284.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.109 * [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 1547630284.109 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547630284.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.110 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1547630284.112 * [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 1547630284.112 * [misc]taylor: Taking taylor expansion of 0 in k 1547630284.112 * [misc]backup-simplify: Simplify 0 into 0 1547630284.112 * [misc]backup-simplify: Simplify 0 into 0 1547630284.112 * [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))))) 1547630284.112 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1547630284.112 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1547630284.112 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1547630284.112 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.113 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.113 * [misc]taylor: Taking taylor expansion of k in k 1547630284.113 * [misc]backup-simplify: Simplify 0 into 0 1547630284.113 * [misc]backup-simplify: Simplify 1 into 1 1547630284.113 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.113 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.113 * [misc]backup-simplify: Simplify PI into PI 1547630284.113 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.113 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.113 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.113 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.114 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.114 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.114 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.114 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.114 * [misc]taylor: Taking taylor expansion of k in k 1547630284.114 * [misc]backup-simplify: Simplify 0 into 0 1547630284.114 * [misc]backup-simplify: Simplify 1 into 1 1547630284.114 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.114 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.114 * [misc]backup-simplify: Simplify PI into PI 1547630284.115 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.115 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.115 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.115 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.115 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.116 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.116 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1547630284.117 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.118 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.118 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547630284.120 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630284.121 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630284.124 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630284.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.124 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547630284.128 * [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))) 1547630284.129 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1547630284.130 * [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)))) 1547630284.131 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.131 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1547630284.131 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of k in k 1547630284.131 * [misc]backup-simplify: Simplify 0 into 0 1547630284.131 * [misc]backup-simplify: Simplify 1 into 1 1547630284.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.131 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.131 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.131 * [misc]backup-simplify: Simplify PI into PI 1547630284.132 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.132 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.132 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.132 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.133 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.133 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.133 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.133 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.133 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.133 * [misc]taylor: Taking taylor expansion of k in k 1547630284.133 * [misc]backup-simplify: Simplify 0 into 0 1547630284.133 * [misc]backup-simplify: Simplify 1 into 1 1547630284.134 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.134 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.134 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.134 * [misc]backup-simplify: Simplify PI into PI 1547630284.134 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.134 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.134 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.134 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.135 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.135 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.135 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.135 * [misc]backup-simplify: Simplify 0 into 0 1547630284.135 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1547630284.136 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.136 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1547630284.136 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.136 * [misc]taylor: Taking taylor expansion of k in k 1547630284.136 * [misc]backup-simplify: Simplify 0 into 0 1547630284.136 * [misc]backup-simplify: Simplify 1 into 1 1547630284.137 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.137 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.137 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.137 * [misc]backup-simplify: Simplify PI into PI 1547630284.137 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.137 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.137 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.138 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.138 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.138 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.138 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.138 * [misc]taylor: Taking taylor expansion of k in k 1547630284.139 * [misc]backup-simplify: Simplify 0 into 0 1547630284.139 * [misc]backup-simplify: Simplify 1 into 1 1547630284.139 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.139 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.139 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.139 * [misc]backup-simplify: Simplify PI into PI 1547630284.139 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.139 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.140 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.140 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.140 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.141 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify 0 into 0 1547630284.141 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1547630284.141 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1547630284.142 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1547630284.142 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1547630284.142 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.142 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.142 * [misc]taylor: Taking taylor expansion of k in n 1547630284.142 * [misc]backup-simplify: Simplify k into k 1547630284.142 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.142 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.142 * [misc]backup-simplify: Simplify 2 into 2 1547630284.142 * [misc]taylor: Taking taylor expansion of n in n 1547630284.142 * [misc]backup-simplify: Simplify 0 into 0 1547630284.142 * [misc]backup-simplify: Simplify 1 into 1 1547630284.143 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.143 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.143 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.143 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.143 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.143 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.144 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.144 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630284.144 * [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)))) 1547630284.144 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547630284.144 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547630284.144 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547630284.144 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.144 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.145 * [misc]taylor: Taking taylor expansion of k in n 1547630284.145 * [misc]backup-simplify: Simplify k into k 1547630284.145 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.145 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.145 * [misc]backup-simplify: Simplify PI into PI 1547630284.145 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.145 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.145 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.145 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.146 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547630284.146 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547630284.146 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547630284.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.146 * [misc]taylor: Taking taylor expansion of k in n 1547630284.146 * [misc]backup-simplify: Simplify k into k 1547630284.146 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.146 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547630284.146 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.147 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547630284.147 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.147 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.147 * [misc]taylor: Taking taylor expansion of k in k 1547630284.147 * [misc]backup-simplify: Simplify 0 into 0 1547630284.147 * [misc]backup-simplify: Simplify 1 into 1 1547630284.147 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630284.147 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.147 * [misc]backup-simplify: Simplify 2 into 2 1547630284.147 * [misc]taylor: Taking taylor expansion of n in k 1547630284.147 * [misc]backup-simplify: Simplify n into n 1547630284.147 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630284.147 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630284.147 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.148 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.148 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.148 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630284.148 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630284.148 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.148 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.148 * [misc]taylor: Taking taylor expansion of k in k 1547630284.148 * [misc]backup-simplify: Simplify 0 into 0 1547630284.148 * [misc]backup-simplify: Simplify 1 into 1 1547630284.148 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.148 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.148 * [misc]backup-simplify: Simplify PI into PI 1547630284.149 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.149 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.149 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.149 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.150 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.150 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630284.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.150 * [misc]taylor: Taking taylor expansion of k in k 1547630284.150 * [misc]backup-simplify: Simplify 0 into 0 1547630284.150 * [misc]backup-simplify: Simplify 1 into 1 1547630284.151 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.151 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.151 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630284.151 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1547630284.151 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630284.151 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630284.151 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630284.151 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630284.151 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.152 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.152 * [misc]taylor: Taking taylor expansion of k in k 1547630284.152 * [misc]backup-simplify: Simplify 0 into 0 1547630284.152 * [misc]backup-simplify: Simplify 1 into 1 1547630284.152 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630284.152 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630284.152 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.152 * [misc]backup-simplify: Simplify 2 into 2 1547630284.152 * [misc]taylor: Taking taylor expansion of n in k 1547630284.152 * [misc]backup-simplify: Simplify n into n 1547630284.152 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630284.152 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630284.152 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.152 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.152 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.153 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630284.153 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630284.153 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.153 * [misc]taylor: Taking taylor expansion of k in k 1547630284.153 * [misc]backup-simplify: Simplify 0 into 0 1547630284.153 * [misc]backup-simplify: Simplify 1 into 1 1547630284.153 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.153 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.153 * [misc]backup-simplify: Simplify PI into PI 1547630284.153 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.153 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.154 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.154 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.154 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.155 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.155 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547630284.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.155 * [misc]taylor: Taking taylor expansion of k in k 1547630284.155 * [misc]backup-simplify: Simplify 0 into 0 1547630284.155 * [misc]backup-simplify: Simplify 1 into 1 1547630284.155 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.156 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630284.156 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547630284.157 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1547630284.157 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.157 * [misc]backup-simplify: Simplify 0 into 0 1547630284.157 * [misc]backup-simplify: Simplify 0 into 0 1547630284.160 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.160 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.160 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.160 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.161 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547630284.164 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630284.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547630284.166 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547630284.166 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.166 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.166 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547630284.167 * [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)))) 1547630284.168 * [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)))))) 1547630284.170 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1547630284.170 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.170 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.170 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.170 * [misc]backup-simplify: Simplify 2 into 2 1547630284.170 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.170 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.170 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630284.170 * [misc]taylor: Taking taylor expansion of n in n 1547630284.170 * [misc]backup-simplify: Simplify 0 into 0 1547630284.170 * [misc]backup-simplify: Simplify 1 into 1 1547630284.170 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.170 * [misc]backup-simplify: Simplify PI into PI 1547630284.171 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630284.171 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630284.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.172 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.172 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630284.172 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.172 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.172 * [misc]backup-simplify: Simplify 0 into 0 1547630284.172 * [misc]backup-simplify: Simplify 0 into 0 1547630284.173 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547630284.174 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630284.178 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630284.178 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.179 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547630284.183 * [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))) 1547630284.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547630284.184 * [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 1547630284.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.184 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.184 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547630284.185 * [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))) 1547630284.187 * [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))))))) 1547630284.190 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 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))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1547630284.190 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.190 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.190 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.190 * [misc]backup-simplify: Simplify 2 into 2 1547630284.190 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.190 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.190 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.190 * [misc]backup-simplify: Simplify PI into PI 1547630284.190 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.190 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.190 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.190 * [misc]backup-simplify: Simplify PI into PI 1547630284.190 * [misc]taylor: Taking taylor expansion of n in n 1547630284.190 * [misc]backup-simplify: Simplify 0 into 0 1547630284.190 * [misc]backup-simplify: Simplify 1 into 1 1547630284.191 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.191 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.191 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.191 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.191 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1547630284.191 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1547630284.191 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630284.192 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.192 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.192 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630284.192 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.192 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.192 * [misc]backup-simplify: Simplify 2 into 2 1547630284.192 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.192 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.192 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630284.192 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630284.192 * [misc]taylor: Taking taylor expansion of n in n 1547630284.192 * [misc]backup-simplify: Simplify 0 into 0 1547630284.192 * [misc]backup-simplify: Simplify 1 into 1 1547630284.192 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.192 * [misc]backup-simplify: Simplify PI into PI 1547630284.192 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630284.192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630284.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.193 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.193 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.193 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.193 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.193 * [misc]backup-simplify: Simplify 2 into 2 1547630284.193 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.193 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.193 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.193 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.193 * [misc]backup-simplify: Simplify 2 into 2 1547630284.193 * [misc]taylor: Taking taylor expansion of n in n 1547630284.193 * [misc]backup-simplify: Simplify 0 into 0 1547630284.193 * [misc]backup-simplify: Simplify 1 into 1 1547630284.194 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.194 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.194 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.194 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.194 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.194 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.194 * [misc]backup-simplify: Simplify PI into PI 1547630284.194 * [misc]taylor: Taking taylor expansion of n in n 1547630284.194 * [misc]backup-simplify: Simplify 0 into 0 1547630284.194 * [misc]backup-simplify: Simplify 1 into 1 1547630284.194 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.194 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.195 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.195 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.195 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547630284.196 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547630284.196 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.196 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630284.196 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.197 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547630284.197 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.197 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.198 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.198 * [misc]backup-simplify: Simplify 0 into 0 1547630284.198 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.200 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.200 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.201 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.201 * [misc]backup-simplify: Simplify 0 into 0 1547630284.201 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.202 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630284.206 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1547630284.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630284.207 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1547630284.212 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1547630284.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1547630284.215 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1547630284.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547630284.216 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.217 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1547630284.218 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1547630284.225 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1547630284.234 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 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))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1547630284.235 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.235 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.235 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.235 * [misc]backup-simplify: Simplify 2 into 2 1547630284.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.236 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.236 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.236 * [misc]backup-simplify: Simplify PI into PI 1547630284.236 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.236 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.236 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.236 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.236 * [misc]backup-simplify: Simplify PI into PI 1547630284.236 * [misc]taylor: Taking taylor expansion of n in n 1547630284.236 * [misc]backup-simplify: Simplify 0 into 0 1547630284.236 * [misc]backup-simplify: Simplify 1 into 1 1547630284.236 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.237 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.238 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.238 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.238 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.238 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.238 * [misc]backup-simplify: Simplify 2 into 2 1547630284.238 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.238 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.238 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.238 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.239 * [misc]backup-simplify: Simplify PI into PI 1547630284.239 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.239 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.239 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.239 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.239 * [misc]backup-simplify: Simplify PI into PI 1547630284.239 * [misc]taylor: Taking taylor expansion of n in n 1547630284.239 * [misc]backup-simplify: Simplify 0 into 0 1547630284.239 * [misc]backup-simplify: Simplify 1 into 1 1547630284.239 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.240 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.240 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.241 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.241 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.241 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.241 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.241 * [misc]backup-simplify: Simplify 2 into 2 1547630284.241 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.241 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.241 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.241 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.242 * [misc]backup-simplify: Simplify 2 into 2 1547630284.242 * [misc]taylor: Taking taylor expansion of n in n 1547630284.242 * [misc]backup-simplify: Simplify 0 into 0 1547630284.242 * [misc]backup-simplify: Simplify 1 into 1 1547630284.242 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.242 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.242 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.242 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.243 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.243 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.243 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.243 * [misc]backup-simplify: Simplify PI into PI 1547630284.243 * [misc]taylor: Taking taylor expansion of n in n 1547630284.243 * [misc]backup-simplify: Simplify 0 into 0 1547630284.243 * [misc]backup-simplify: Simplify 1 into 1 1547630284.243 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.244 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.244 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.244 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1547630284.244 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1547630284.244 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1547630284.244 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.244 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.244 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.245 * [misc]backup-simplify: Simplify 2 into 2 1547630284.245 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.245 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.245 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.245 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.245 * [misc]backup-simplify: Simplify 2 into 2 1547630284.245 * [misc]taylor: Taking taylor expansion of n in n 1547630284.245 * [misc]backup-simplify: Simplify 0 into 0 1547630284.245 * [misc]backup-simplify: Simplify 1 into 1 1547630284.245 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.246 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.246 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.246 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.246 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.246 * [misc]backup-simplify: Simplify PI into PI 1547630284.246 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.246 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630284.246 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630284.246 * [misc]taylor: Taking taylor expansion of n in n 1547630284.246 * [misc]backup-simplify: Simplify 0 into 0 1547630284.246 * [misc]backup-simplify: Simplify 1 into 1 1547630284.246 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.246 * [misc]backup-simplify: Simplify PI into PI 1547630284.247 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630284.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630284.247 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.248 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.248 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1547630284.248 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1547630284.248 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547630284.248 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.248 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.248 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547630284.248 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.248 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.248 * [misc]backup-simplify: Simplify 2 into 2 1547630284.248 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.249 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547630284.249 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547630284.249 * [misc]taylor: Taking taylor expansion of n in n 1547630284.249 * [misc]backup-simplify: Simplify 0 into 0 1547630284.249 * [misc]backup-simplify: Simplify 1 into 1 1547630284.249 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.249 * [misc]backup-simplify: Simplify PI into PI 1547630284.249 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547630284.250 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547630284.250 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.250 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.250 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547630284.250 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547630284.250 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.250 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.250 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547630284.250 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547630284.251 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.251 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.251 * [misc]backup-simplify: Simplify 2 into 2 1547630284.251 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.251 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.251 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.251 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.251 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.251 * [misc]backup-simplify: Simplify 2 into 2 1547630284.251 * [misc]taylor: Taking taylor expansion of n in n 1547630284.251 * [misc]backup-simplify: Simplify 0 into 0 1547630284.251 * [misc]backup-simplify: Simplify 1 into 1 1547630284.251 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.252 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.252 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.252 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.252 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.252 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.252 * [misc]backup-simplify: Simplify PI into PI 1547630284.252 * [misc]taylor: Taking taylor expansion of n in n 1547630284.252 * [misc]backup-simplify: Simplify 0 into 0 1547630284.252 * [misc]backup-simplify: Simplify 1 into 1 1547630284.252 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.253 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.253 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.253 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.254 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547630284.255 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547630284.255 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.256 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547630284.257 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547630284.258 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547630284.258 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.259 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.259 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.259 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547630284.260 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547630284.260 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547630284.260 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.261 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.261 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547630284.262 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547630284.263 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1547630284.263 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.263 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547630284.263 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.264 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.264 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547630284.264 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547630284.264 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.266 * [misc]backup-simplify: Simplify 0 into 0 1547630284.268 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.269 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547630284.270 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630284.271 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630284.272 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.273 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547630284.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.275 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.275 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547630284.276 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630284.277 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630284.278 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630284.280 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1547630284.283 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1547630284.286 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630284.290 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630284.294 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1547630284.294 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547630284.295 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547630284.296 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547630284.298 * [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)))) 1547630284.300 * [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)))) 1547630284.301 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630284.302 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547630284.308 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +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) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1547630284.308 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1547630284.309 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1547630284.309 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1547630284.309 * [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 1547630284.309 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of k in n 1547630284.309 * [misc]backup-simplify: Simplify k into k 1547630284.309 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.309 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.309 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.309 * [misc]backup-simplify: Simplify PI into PI 1547630284.309 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.309 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.309 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.309 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.310 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.310 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.310 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.310 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of k in n 1547630284.310 * [misc]backup-simplify: Simplify k into k 1547630284.310 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.310 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.310 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.310 * [misc]backup-simplify: Simplify 2 into 2 1547630284.310 * [misc]taylor: Taking taylor expansion of n in n 1547630284.310 * [misc]backup-simplify: Simplify 0 into 0 1547630284.310 * [misc]backup-simplify: Simplify 1 into 1 1547630284.310 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.310 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.310 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.311 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.311 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.311 * [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))) 1547630284.311 * [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)))) 1547630284.311 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547630284.311 * [misc]taylor: Taking taylor expansion of k in n 1547630284.311 * [misc]backup-simplify: Simplify k into k 1547630284.311 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547630284.312 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547630284.312 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1547630284.312 * [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 1547630284.312 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of k in k 1547630284.312 * [misc]backup-simplify: Simplify 0 into 0 1547630284.312 * [misc]backup-simplify: Simplify 1 into 1 1547630284.312 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.312 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.312 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.312 * [misc]backup-simplify: Simplify PI into PI 1547630284.313 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.313 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.313 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.313 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.314 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.314 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.314 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.314 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.314 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.314 * [misc]taylor: Taking taylor expansion of k in k 1547630284.314 * [misc]backup-simplify: Simplify 0 into 0 1547630284.314 * [misc]backup-simplify: Simplify 1 into 1 1547630284.315 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.315 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630284.315 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630284.315 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.315 * [misc]backup-simplify: Simplify 2 into 2 1547630284.315 * [misc]taylor: Taking taylor expansion of n in k 1547630284.315 * [misc]backup-simplify: Simplify n into n 1547630284.315 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630284.315 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630284.315 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.315 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.315 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.316 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630284.316 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.316 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630284.316 * [misc]taylor: Taking taylor expansion of k in k 1547630284.316 * [misc]backup-simplify: Simplify 0 into 0 1547630284.316 * [misc]backup-simplify: Simplify 1 into 1 1547630284.316 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.317 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630284.317 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1547630284.317 * [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 1547630284.317 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.317 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.317 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of k in k 1547630284.317 * [misc]backup-simplify: Simplify 0 into 0 1547630284.317 * [misc]backup-simplify: Simplify 1 into 1 1547630284.317 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.317 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.317 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.317 * [misc]backup-simplify: Simplify PI into PI 1547630284.318 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.318 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.318 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.318 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.319 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.319 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.319 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.319 * [misc]taylor: Taking taylor expansion of k in k 1547630284.319 * [misc]backup-simplify: Simplify 0 into 0 1547630284.320 * [misc]backup-simplify: Simplify 1 into 1 1547630284.320 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.320 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630284.320 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630284.320 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.320 * [misc]backup-simplify: Simplify 2 into 2 1547630284.320 * [misc]taylor: Taking taylor expansion of n in k 1547630284.320 * [misc]backup-simplify: Simplify n into n 1547630284.320 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630284.320 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630284.320 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.320 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.321 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.321 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630284.321 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.321 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547630284.321 * [misc]taylor: Taking taylor expansion of k in k 1547630284.321 * [misc]backup-simplify: Simplify 0 into 0 1547630284.321 * [misc]backup-simplify: Simplify 1 into 1 1547630284.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.322 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547630284.322 * [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))))) 1547630284.322 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547630284.322 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.322 * [misc]backup-simplify: Simplify 0 into 0 1547630284.322 * [misc]backup-simplify: Simplify 0 into 0 1547630284.323 * [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 1547630284.323 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630284.323 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630284.323 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630284.323 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.324 * [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 1547630284.324 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.324 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of k in n 1547630284.324 * [misc]backup-simplify: Simplify k into k 1547630284.324 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.324 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.324 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.324 * [misc]backup-simplify: Simplify PI into PI 1547630284.324 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.325 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.325 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.325 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.325 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.325 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of k in n 1547630284.326 * [misc]backup-simplify: Simplify k into k 1547630284.326 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.326 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.326 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.326 * [misc]backup-simplify: Simplify 2 into 2 1547630284.326 * [misc]taylor: Taking taylor expansion of n in n 1547630284.326 * [misc]backup-simplify: Simplify 0 into 0 1547630284.326 * [misc]backup-simplify: Simplify 1 into 1 1547630284.326 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.326 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.327 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.327 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.327 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.327 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.328 * [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))) 1547630284.328 * [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)))) 1547630284.328 * [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))))) 1547630284.329 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630284.329 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.330 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.330 * [misc]backup-simplify: Simplify 0 into 0 1547630284.331 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630284.332 * [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 1547630284.332 * [misc]backup-simplify: Simplify (+ (* (* (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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630284.332 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.333 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.333 * [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 1547630284.333 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of k in n 1547630284.333 * [misc]backup-simplify: Simplify k into k 1547630284.333 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.333 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.333 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.333 * [misc]backup-simplify: Simplify PI into PI 1547630284.334 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.334 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.334 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.334 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.335 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.335 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of k in n 1547630284.335 * [misc]backup-simplify: Simplify k into k 1547630284.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.335 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.335 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.335 * [misc]backup-simplify: Simplify 2 into 2 1547630284.335 * [misc]taylor: Taking taylor expansion of n in n 1547630284.335 * [misc]backup-simplify: Simplify 0 into 0 1547630284.335 * [misc]backup-simplify: Simplify 1 into 1 1547630284.335 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.336 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.336 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.336 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.336 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.336 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.337 * [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))) 1547630284.337 * [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)))) 1547630284.337 * [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))))) 1547630284.338 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630284.338 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.339 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630284.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.342 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.342 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.343 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.343 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.343 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.343 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630284.345 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.348 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.348 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.348 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.349 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547630284.350 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.351 * [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 1547630284.351 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1547630284.352 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.352 * [misc]backup-simplify: Simplify 0 into 0 1547630284.352 * [misc]backup-simplify: Simplify 0 into 0 1547630284.353 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630284.354 * [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 1547630284.354 * [misc]backup-simplify: Simplify (+ (* (* (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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1547630284.354 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547630284.354 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547630284.354 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.355 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.355 * [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 1547630284.355 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of k in n 1547630284.355 * [misc]backup-simplify: Simplify k into k 1547630284.355 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.355 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.355 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.355 * [misc]backup-simplify: Simplify PI into PI 1547630284.355 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.356 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.356 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.356 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.356 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.356 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.357 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.357 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.357 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of k in n 1547630284.357 * [misc]backup-simplify: Simplify k into k 1547630284.357 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.357 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.357 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.357 * [misc]backup-simplify: Simplify 2 into 2 1547630284.357 * [misc]taylor: Taking taylor expansion of n in n 1547630284.357 * [misc]backup-simplify: Simplify 0 into 0 1547630284.357 * [misc]backup-simplify: Simplify 1 into 1 1547630284.357 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.358 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.358 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.358 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.358 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.358 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.359 * [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))) 1547630284.361 * [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)))) 1547630284.361 * [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))))) 1547630284.362 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1547630284.362 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.363 * [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 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1547630284.365 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (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)) 3)) (+ (* (- (* +nan.0 (* (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 (* (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))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1547630284.366 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1547630284.366 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1547630284.366 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1547630284.366 * [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 1547630284.366 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of k in n 1547630284.366 * [misc]backup-simplify: Simplify k into k 1547630284.366 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.366 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.366 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.366 * [misc]backup-simplify: Simplify -2 into -2 1547630284.366 * [misc]taylor: Taking taylor expansion of n in n 1547630284.366 * [misc]backup-simplify: Simplify 0 into 0 1547630284.366 * [misc]backup-simplify: Simplify 1 into 1 1547630284.366 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.367 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.367 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.367 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.367 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.367 * [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))) 1547630284.368 * [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)))) 1547630284.368 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.368 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of k in n 1547630284.368 * [misc]backup-simplify: Simplify k into k 1547630284.368 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.368 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.368 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.368 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.368 * [misc]backup-simplify: Simplify PI into PI 1547630284.369 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.369 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.369 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.369 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.369 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.370 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547630284.370 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547630284.370 * [misc]taylor: Taking taylor expansion of -1 in n 1547630284.370 * [misc]backup-simplify: Simplify -1 into -1 1547630284.370 * [misc]taylor: Taking taylor expansion of k in n 1547630284.370 * [misc]backup-simplify: Simplify k into k 1547630284.370 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547630284.370 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547630284.370 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547630284.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547630284.370 * [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))) 1547630284.371 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1547630284.371 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1547630284.371 * [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 1547630284.371 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.371 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.371 * [misc]taylor: Taking taylor expansion of k in k 1547630284.371 * [misc]backup-simplify: Simplify 0 into 0 1547630284.371 * [misc]backup-simplify: Simplify 1 into 1 1547630284.371 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.372 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630284.372 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630284.372 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.372 * [misc]backup-simplify: Simplify -2 into -2 1547630284.372 * [misc]taylor: Taking taylor expansion of n in k 1547630284.372 * [misc]backup-simplify: Simplify n into n 1547630284.372 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630284.372 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630284.372 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.372 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.372 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630284.372 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.372 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.372 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of k in k 1547630284.373 * [misc]backup-simplify: Simplify 0 into 0 1547630284.373 * [misc]backup-simplify: Simplify 1 into 1 1547630284.373 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.373 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.373 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.373 * [misc]backup-simplify: Simplify PI into PI 1547630284.373 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.374 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.374 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.374 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.375 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.375 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630284.375 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630284.375 * [misc]taylor: Taking taylor expansion of -1 in k 1547630284.375 * [misc]backup-simplify: Simplify -1 into -1 1547630284.375 * [misc]taylor: Taking taylor expansion of k in k 1547630284.375 * [misc]backup-simplify: Simplify 0 into 0 1547630284.375 * [misc]backup-simplify: Simplify 1 into 1 1547630284.375 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630284.375 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.375 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630284.376 * [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))) 1547630284.376 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1547630284.376 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1547630284.376 * [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 1547630284.376 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.376 * [misc]taylor: Taking taylor expansion of k in k 1547630284.376 * [misc]backup-simplify: Simplify 0 into 0 1547630284.376 * [misc]backup-simplify: Simplify 1 into 1 1547630284.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.377 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630284.377 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630284.377 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.377 * [misc]backup-simplify: Simplify -2 into -2 1547630284.377 * [misc]taylor: Taking taylor expansion of n in k 1547630284.377 * [misc]backup-simplify: Simplify n into n 1547630284.377 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630284.377 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630284.377 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.377 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.377 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630284.377 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.377 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.377 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.377 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.378 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.378 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.378 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.378 * [misc]taylor: Taking taylor expansion of k in k 1547630284.378 * [misc]backup-simplify: Simplify 0 into 0 1547630284.378 * [misc]backup-simplify: Simplify 1 into 1 1547630284.378 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.378 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.378 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.378 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.378 * [misc]backup-simplify: Simplify PI into PI 1547630284.378 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.378 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.379 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.379 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.379 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.379 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547630284.379 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547630284.379 * [misc]taylor: Taking taylor expansion of -1 in k 1547630284.379 * [misc]backup-simplify: Simplify -1 into -1 1547630284.379 * [misc]taylor: Taking taylor expansion of k in k 1547630284.379 * [misc]backup-simplify: Simplify 0 into 0 1547630284.379 * [misc]backup-simplify: Simplify 1 into 1 1547630284.380 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547630284.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.380 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547630284.380 * [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))) 1547630284.381 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1547630284.381 * [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 1547630284.381 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.381 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.381 * [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 1547630284.381 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of k in n 1547630284.381 * [misc]backup-simplify: Simplify k into k 1547630284.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.381 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.381 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.381 * [misc]backup-simplify: Simplify -2 into -2 1547630284.381 * [misc]taylor: Taking taylor expansion of n in n 1547630284.381 * [misc]backup-simplify: Simplify 0 into 0 1547630284.381 * [misc]backup-simplify: Simplify 1 into 1 1547630284.382 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.382 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.382 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.383 * [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))) 1547630284.383 * [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)))) 1547630284.383 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.383 * [misc]taylor: Taking taylor expansion of k in n 1547630284.383 * [misc]backup-simplify: Simplify k into k 1547630284.384 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.384 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.384 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.384 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.384 * [misc]backup-simplify: Simplify PI into PI 1547630284.384 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.384 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.384 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.385 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.385 * [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))) 1547630284.386 * [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)))) 1547630284.386 * [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)))) 1547630284.386 * [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 1547630284.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547630284.388 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547630284.388 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1547630284.388 * [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 1547630284.388 * [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 1547630284.388 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.388 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.389 * [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 1547630284.389 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.389 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of k in n 1547630284.389 * [misc]backup-simplify: Simplify k into k 1547630284.389 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.389 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.389 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.389 * [misc]backup-simplify: Simplify -2 into -2 1547630284.389 * [misc]taylor: Taking taylor expansion of n in n 1547630284.389 * [misc]backup-simplify: Simplify 0 into 0 1547630284.389 * [misc]backup-simplify: Simplify 1 into 1 1547630284.389 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.389 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.389 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.389 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.390 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.390 * [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))) 1547630284.390 * [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)))) 1547630284.390 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.390 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.390 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.391 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.391 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.391 * [misc]taylor: Taking taylor expansion of k in n 1547630284.391 * [misc]backup-simplify: Simplify k into k 1547630284.391 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.391 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.391 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.391 * [misc]backup-simplify: Simplify PI into PI 1547630284.391 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.391 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.391 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.391 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.392 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.392 * [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))) 1547630284.392 * [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)))) 1547630284.393 * [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))))) 1547630284.393 * [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))))) 1547630284.394 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.394 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.395 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.395 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547630284.396 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630284.398 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630284.398 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.398 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.398 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630284.399 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.400 * [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 1547630284.400 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1547630284.400 * [misc]backup-simplify: Simplify 0 into 0 1547630284.401 * [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 1547630284.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.402 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547630284.402 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1547630284.402 * [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 1547630284.402 * [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 1547630284.402 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547630284.402 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547630284.402 * [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 1547630284.402 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.402 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.402 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.403 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of k in n 1547630284.403 * [misc]backup-simplify: Simplify k into k 1547630284.403 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.403 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.403 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.403 * [misc]backup-simplify: Simplify -2 into -2 1547630284.403 * [misc]taylor: Taking taylor expansion of n in n 1547630284.403 * [misc]backup-simplify: Simplify 0 into 0 1547630284.403 * [misc]backup-simplify: Simplify 1 into 1 1547630284.403 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.403 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.403 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.403 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.404 * [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))) 1547630284.404 * [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)))) 1547630284.404 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of k in n 1547630284.404 * [misc]backup-simplify: Simplify k into k 1547630284.404 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.404 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.404 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.404 * [misc]backup-simplify: Simplify PI into PI 1547630284.404 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.404 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.404 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.405 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.405 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.405 * [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))) 1547630284.405 * [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)))) 1547630284.406 * [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))))) 1547630284.406 * [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))))) 1547630284.407 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (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 (* (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 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1547630284.407 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1547630284.408 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1547630284.408 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1547630284.408 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.408 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.408 * [misc]taylor: Taking taylor expansion of k in n 1547630284.408 * [misc]backup-simplify: Simplify k into k 1547630284.408 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.408 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.408 * [misc]backup-simplify: Simplify 2 into 2 1547630284.408 * [misc]taylor: Taking taylor expansion of n in n 1547630284.408 * [misc]backup-simplify: Simplify 0 into 0 1547630284.408 * [misc]backup-simplify: Simplify 1 into 1 1547630284.408 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.408 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.408 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.408 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.408 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.409 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.409 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547630284.409 * [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)))) 1547630284.409 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.409 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.409 * [misc]taylor: Taking taylor expansion of k in n 1547630284.409 * [misc]backup-simplify: Simplify k into k 1547630284.409 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.409 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.409 * [misc]backup-simplify: Simplify PI into PI 1547630284.410 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.410 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547630284.410 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547630284.410 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547630284.410 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547630284.410 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547630284.410 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.410 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.410 * [misc]taylor: Taking taylor expansion of k in k 1547630284.410 * [misc]backup-simplify: Simplify 0 into 0 1547630284.410 * [misc]backup-simplify: Simplify 1 into 1 1547630284.410 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630284.410 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.410 * [misc]backup-simplify: Simplify 2 into 2 1547630284.410 * [misc]taylor: Taking taylor expansion of n in k 1547630284.410 * [misc]backup-simplify: Simplify n into n 1547630284.410 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630284.411 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630284.411 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.411 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.411 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.411 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630284.411 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630284.411 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.411 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.411 * [misc]taylor: Taking taylor expansion of k in k 1547630284.411 * [misc]backup-simplify: Simplify 0 into 0 1547630284.411 * [misc]backup-simplify: Simplify 1 into 1 1547630284.411 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.411 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.411 * [misc]backup-simplify: Simplify PI into PI 1547630284.411 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.411 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.412 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.412 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.412 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.412 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.412 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.413 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.413 * [misc]taylor: Taking taylor expansion of k in k 1547630284.413 * [misc]backup-simplify: Simplify 0 into 0 1547630284.413 * [misc]backup-simplify: Simplify 1 into 1 1547630284.413 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.413 * [misc]backup-simplify: Simplify 2 into 2 1547630284.413 * [misc]taylor: Taking taylor expansion of n in k 1547630284.413 * [misc]backup-simplify: Simplify n into n 1547630284.413 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547630284.413 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547630284.413 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.413 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.413 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.413 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547630284.413 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547630284.413 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547630284.413 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.414 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547630284.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.414 * [misc]taylor: Taking taylor expansion of k in k 1547630284.414 * [misc]backup-simplify: Simplify 0 into 0 1547630284.414 * [misc]backup-simplify: Simplify 1 into 1 1547630284.414 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.414 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.414 * [misc]backup-simplify: Simplify PI into PI 1547630284.414 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.414 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.414 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.414 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.414 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.415 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547630284.415 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547630284.415 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1547630284.415 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1547630284.415 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.415 * [misc]backup-simplify: Simplify PI into PI 1547630284.415 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1547630284.415 * [misc]taylor: Taking taylor expansion of n in n 1547630284.415 * [misc]backup-simplify: Simplify 0 into 0 1547630284.415 * [misc]backup-simplify: Simplify 1 into 1 1547630284.415 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.415 * [misc]backup-simplify: Simplify 2 into 2 1547630284.415 * [misc]backup-simplify: Simplify (* 0 2) into 0 1547630284.416 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.416 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1547630284.416 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1547630284.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.417 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.417 * [misc]backup-simplify: Simplify 0 into 0 1547630284.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.418 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.418 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.419 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547630284.421 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547630284.421 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547630284.422 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547630284.422 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547630284.422 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.422 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.422 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547630284.422 * [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)))) 1547630284.423 * [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)))))) 1547630284.423 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.424 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.424 * [misc]backup-simplify: Simplify 2 into 2 1547630284.424 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.424 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.424 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.424 * [misc]backup-simplify: Simplify PI into PI 1547630284.424 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.424 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.424 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.424 * [misc]backup-simplify: Simplify PI into PI 1547630284.424 * [misc]taylor: Taking taylor expansion of n in n 1547630284.424 * [misc]backup-simplify: Simplify 0 into 0 1547630284.424 * [misc]backup-simplify: Simplify 1 into 1 1547630284.424 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.425 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.425 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547630284.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.425 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547630284.425 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547630284.425 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.425 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.425 * [misc]backup-simplify: Simplify 2 into 2 1547630284.425 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.426 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.426 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.426 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.426 * [misc]backup-simplify: Simplify 2 into 2 1547630284.426 * [misc]taylor: Taking taylor expansion of n in n 1547630284.426 * [misc]backup-simplify: Simplify 0 into 0 1547630284.426 * [misc]backup-simplify: Simplify 1 into 1 1547630284.426 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.426 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.426 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.426 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.426 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.426 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.426 * [misc]backup-simplify: Simplify PI into PI 1547630284.426 * [misc]taylor: Taking taylor expansion of n in n 1547630284.426 * [misc]backup-simplify: Simplify 0 into 0 1547630284.426 * [misc]backup-simplify: Simplify 1 into 1 1547630284.426 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.427 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.427 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.428 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547630284.428 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547630284.428 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.428 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.429 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547630284.429 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547630284.429 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547630284.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.429 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.429 * [misc]backup-simplify: Simplify 0 into 0 1547630284.429 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1547630284.432 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630284.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.432 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547630284.437 * [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))) 1547630284.437 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547630284.439 * [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 1547630284.439 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.440 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547630284.441 * [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))) 1547630284.445 * [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))))))) 1547630284.445 * [misc]taylor: Taking taylor expansion of (+ (* 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))))))) in n 1547630284.445 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547630284.445 * [misc]taylor: Taking taylor expansion of 1/8 in n 1547630284.445 * [misc]backup-simplify: Simplify 1/8 into 1/8 1547630284.445 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547630284.445 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547630284.445 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.445 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.445 * [misc]backup-simplify: Simplify 2 into 2 1547630284.445 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.446 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.446 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547630284.446 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.446 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.446 * [misc]backup-simplify: Simplify PI into PI 1547630284.446 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.446 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.446 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.446 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.446 * [misc]backup-simplify: Simplify PI into PI 1547630284.446 * [misc]taylor: Taking taylor expansion of n in n 1547630284.446 * [misc]backup-simplify: Simplify 0 into 0 1547630284.446 * [misc]backup-simplify: Simplify 1 into 1 1547630284.447 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.447 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.447 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.448 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.448 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1547630284.448 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547630284.448 * [misc]taylor: Taking taylor expansion of 1/8 in n 1547630284.448 * [misc]backup-simplify: Simplify 1/8 into 1/8 1547630284.448 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547630284.448 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547630284.448 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.448 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.448 * [misc]backup-simplify: Simplify 2 into 2 1547630284.448 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.449 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.449 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547630284.449 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.449 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.449 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.449 * [misc]backup-simplify: Simplify 2 into 2 1547630284.449 * [misc]taylor: Taking taylor expansion of n in n 1547630284.449 * [misc]backup-simplify: Simplify 0 into 0 1547630284.449 * [misc]backup-simplify: Simplify 1 into 1 1547630284.449 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.449 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.449 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.450 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.450 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.450 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.450 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.450 * [misc]backup-simplify: Simplify PI into PI 1547630284.450 * [misc]taylor: Taking taylor expansion of n in n 1547630284.450 * [misc]backup-simplify: Simplify 0 into 0 1547630284.450 * [misc]backup-simplify: Simplify 1 into 1 1547630284.450 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.451 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.451 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.452 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.452 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1547630284.452 * [misc]taylor: Taking taylor expansion of 1/4 in n 1547630284.452 * [misc]backup-simplify: Simplify 1/4 into 1/4 1547630284.452 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1547630284.452 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547630284.452 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547630284.452 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.452 * [misc]backup-simplify: Simplify PI into PI 1547630284.452 * [misc]taylor: Taking taylor expansion of n in n 1547630284.452 * [misc]backup-simplify: Simplify 0 into 0 1547630284.452 * [misc]backup-simplify: Simplify 1 into 1 1547630284.452 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547630284.453 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547630284.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547630284.454 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547630284.454 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547630284.454 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547630284.454 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.454 * [misc]backup-simplify: Simplify 2 into 2 1547630284.454 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547630284.454 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547630284.454 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547630284.454 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547630284.454 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547630284.454 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.454 * [misc]backup-simplify: Simplify 2 into 2 1547630284.454 * [misc]taylor: Taking taylor expansion of n in n 1547630284.454 * [misc]backup-simplify: Simplify 0 into 0 1547630284.454 * [misc]backup-simplify: Simplify 1 into 1 1547630284.455 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547630284.455 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547630284.455 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.455 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.455 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.455 * [misc]backup-simplify: Simplify PI into PI 1547630284.455 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.456 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547630284.457 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547630284.459 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547630284.459 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1547630284.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.459 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.460 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547630284.460 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547630284.461 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547630284.461 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1547630284.461 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.462 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547630284.462 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547630284.463 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1547630284.463 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1547630284.464 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.464 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.464 * [misc]backup-simplify: Simplify 0 into 0 1547630284.466 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.467 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547630284.469 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630284.472 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547630284.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547630284.475 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.475 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547630284.476 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547630284.477 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630284.479 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1547630284.483 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1547630284.488 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1547630284.493 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1547630284.494 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1547630284.495 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1547630284.496 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547630284.497 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1547630284.504 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1547630284.505 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1547630284.505 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1547630284.505 * [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 1547630284.505 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.505 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of k in n 1547630284.505 * [misc]backup-simplify: Simplify k into k 1547630284.505 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.505 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.505 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.505 * [misc]backup-simplify: Simplify PI into PI 1547630284.506 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.506 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.506 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.506 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.506 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.507 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.507 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of k in n 1547630284.507 * [misc]backup-simplify: Simplify k into k 1547630284.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.507 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.507 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.507 * [misc]backup-simplify: Simplify 2 into 2 1547630284.507 * [misc]taylor: Taking taylor expansion of n in n 1547630284.507 * [misc]backup-simplify: Simplify 0 into 0 1547630284.507 * [misc]backup-simplify: Simplify 1 into 1 1547630284.507 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.507 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.508 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.508 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.508 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.508 * [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))) 1547630284.509 * [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)))) 1547630284.509 * [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 1547630284.509 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of k in k 1547630284.509 * [misc]backup-simplify: Simplify 0 into 0 1547630284.509 * [misc]backup-simplify: Simplify 1 into 1 1547630284.509 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.509 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.509 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.509 * [misc]backup-simplify: Simplify PI into PI 1547630284.510 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.510 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.510 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.510 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.511 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.511 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.511 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.511 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.511 * [misc]taylor: Taking taylor expansion of k in k 1547630284.511 * [misc]backup-simplify: Simplify 0 into 0 1547630284.511 * [misc]backup-simplify: Simplify 1 into 1 1547630284.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.512 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630284.512 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630284.512 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.512 * [misc]backup-simplify: Simplify 2 into 2 1547630284.512 * [misc]taylor: Taking taylor expansion of n in k 1547630284.512 * [misc]backup-simplify: Simplify n into n 1547630284.512 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630284.512 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630284.512 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.512 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.512 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.513 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630284.513 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.513 * [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 1547630284.513 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.513 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.513 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of k in k 1547630284.513 * [misc]backup-simplify: Simplify 0 into 0 1547630284.513 * [misc]backup-simplify: Simplify 1 into 1 1547630284.513 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.513 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.513 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.513 * [misc]backup-simplify: Simplify PI into PI 1547630284.514 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.514 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.514 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.514 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.515 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547630284.515 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.515 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.515 * [misc]taylor: Taking taylor expansion of k in k 1547630284.515 * [misc]backup-simplify: Simplify 0 into 0 1547630284.515 * [misc]backup-simplify: Simplify 1 into 1 1547630284.516 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.516 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547630284.516 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547630284.516 * [misc]taylor: Taking taylor expansion of 2 in k 1547630284.516 * [misc]backup-simplify: Simplify 2 into 2 1547630284.516 * [misc]taylor: Taking taylor expansion of n in k 1547630284.516 * [misc]backup-simplify: Simplify n into n 1547630284.516 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547630284.516 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547630284.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.516 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547630284.516 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547630284.516 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547630284.517 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.517 * [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))))) 1547630284.517 * [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 1547630284.517 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of k in n 1547630284.517 * [misc]backup-simplify: Simplify k into k 1547630284.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.517 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.517 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.517 * [misc]backup-simplify: Simplify PI into PI 1547630284.518 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.518 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.518 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.518 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.518 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547630284.519 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547630284.519 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of k in n 1547630284.519 * [misc]backup-simplify: Simplify k into k 1547630284.519 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.519 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547630284.519 * [misc]taylor: Taking taylor expansion of 2 in n 1547630284.519 * [misc]backup-simplify: Simplify 2 into 2 1547630284.519 * [misc]taylor: Taking taylor expansion of n in n 1547630284.519 * [misc]backup-simplify: Simplify 0 into 0 1547630284.519 * [misc]backup-simplify: Simplify 1 into 1 1547630284.520 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547630284.520 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547630284.520 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.520 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547630284.520 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547630284.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.521 * [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))) 1547630284.521 * [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)))) 1547630284.521 * [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))))) 1547630284.522 * [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))))) 1547630284.522 * [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 1547630284.522 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.522 * [misc]backup-simplify: Simplify 0 into 0 1547630284.522 * [misc]backup-simplify: Simplify 0 into 0 1547630284.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547630284.525 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547630284.525 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.525 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.525 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.526 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.526 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547630284.528 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.530 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.530 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.531 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.531 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547630284.533 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.533 * [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 1547630284.533 * [misc]backup-simplify: Simplify 0 into 0 1547630284.534 * [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 1547630284.534 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.534 * [misc]backup-simplify: Simplify 0 into 0 1547630284.534 * [misc]backup-simplify: Simplify 0 into 0 1547630284.534 * [misc]backup-simplify: Simplify 0 into 0 1547630284.535 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.539 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547630284.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.540 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547630284.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547630284.543 * [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 1547630284.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630284.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.547 * [misc]backup-simplify: Simplify (- 0) into 0 1547630284.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.548 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1547630284.550 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547630284.551 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1547630284.551 * [misc]backup-simplify: Simplify 0 into 0 1547630284.551 * [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 1547630284.551 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.551 * [misc]backup-simplify: Simplify 0 into 0 1547630284.552 * [misc]backup-simplify: Simplify 0 into 0 1547630284.552 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (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)))) (pow PI (- 1/2 (* 1/2 k)))) 1547630284.552 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1547630284.552 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1547630284.552 * [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 1547630284.552 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.552 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.552 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.552 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.553 * [misc]taylor: Taking taylor expansion of k in n 1547630284.553 * [misc]backup-simplify: Simplify k into k 1547630284.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.553 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.553 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.553 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.553 * [misc]backup-simplify: Simplify -2 into -2 1547630284.553 * [misc]taylor: Taking taylor expansion of n in n 1547630284.553 * [misc]backup-simplify: Simplify 0 into 0 1547630284.553 * [misc]backup-simplify: Simplify 1 into 1 1547630284.553 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.553 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.553 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.553 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.554 * [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))) 1547630284.554 * [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)))) 1547630284.554 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.554 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.554 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.554 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.555 * [misc]taylor: Taking taylor expansion of k in n 1547630284.555 * [misc]backup-simplify: Simplify k into k 1547630284.555 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.555 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.555 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.555 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.555 * [misc]backup-simplify: Simplify PI into PI 1547630284.555 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.555 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.556 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.556 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.556 * [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 1547630284.556 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.556 * [misc]taylor: Taking taylor expansion of k in k 1547630284.556 * [misc]backup-simplify: Simplify 0 into 0 1547630284.556 * [misc]backup-simplify: Simplify 1 into 1 1547630284.556 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.556 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.557 * [misc]backup-simplify: Simplify -2 into -2 1547630284.557 * [misc]taylor: Taking taylor expansion of n in k 1547630284.557 * [misc]backup-simplify: Simplify n into n 1547630284.557 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630284.557 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630284.557 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.557 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.557 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630284.557 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.557 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.557 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.558 * [misc]taylor: Taking taylor expansion of k in k 1547630284.558 * [misc]backup-simplify: Simplify 0 into 0 1547630284.558 * [misc]backup-simplify: Simplify 1 into 1 1547630284.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.558 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.558 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.558 * [misc]backup-simplify: Simplify PI into PI 1547630284.558 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.558 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.558 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.559 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.559 * [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 1547630284.559 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.559 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547630284.559 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547630284.559 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.559 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.560 * [misc]taylor: Taking taylor expansion of k in k 1547630284.560 * [misc]backup-simplify: Simplify 0 into 0 1547630284.560 * [misc]backup-simplify: Simplify 1 into 1 1547630284.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.560 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547630284.560 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547630284.560 * [misc]taylor: Taking taylor expansion of -2 in k 1547630284.560 * [misc]backup-simplify: Simplify -2 into -2 1547630284.560 * [misc]taylor: Taking taylor expansion of n in k 1547630284.560 * [misc]backup-simplify: Simplify n into n 1547630284.560 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547630284.560 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547630284.561 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.561 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.561 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547630284.561 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.561 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547630284.561 * [misc]taylor: Taking taylor expansion of k in k 1547630284.561 * [misc]backup-simplify: Simplify 0 into 0 1547630284.561 * [misc]backup-simplify: Simplify 1 into 1 1547630284.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547630284.562 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547630284.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.562 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547630284.562 * [misc]taylor: Taking taylor expansion of PI in k 1547630284.562 * [misc]backup-simplify: Simplify PI into PI 1547630284.562 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.562 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547630284.562 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547630284.563 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547630284.563 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.563 * [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))) 1547630284.563 * [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 1547630284.563 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of k in n 1547630284.564 * [misc]backup-simplify: Simplify k into k 1547630284.564 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.564 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547630284.564 * [misc]taylor: Taking taylor expansion of -2 in n 1547630284.564 * [misc]backup-simplify: Simplify -2 into -2 1547630284.564 * [misc]taylor: Taking taylor expansion of n in n 1547630284.564 * [misc]backup-simplify: Simplify 0 into 0 1547630284.564 * [misc]backup-simplify: Simplify 1 into 1 1547630284.564 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547630284.564 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547630284.565 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.565 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.565 * [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))) 1547630284.566 * [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)))) 1547630284.566 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of k in n 1547630284.566 * [misc]backup-simplify: Simplify k into k 1547630284.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547630284.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547630284.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547630284.566 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547630284.566 * [misc]taylor: Taking taylor expansion of PI in n 1547630284.566 * [misc]backup-simplify: Simplify PI into PI 1547630284.566 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547630284.567 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547630284.567 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547630284.567 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547630284.567 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547630284.568 * [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))) 1547630284.568 * [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))) 1547630284.568 * [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 1547630284.568 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.568 * [misc]backup-simplify: Simplify 0 into 0 1547630284.568 * [misc]backup-simplify: Simplify 0 into 0 1547630284.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547630284.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.570 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.570 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547630284.571 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.571 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547630284.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547630284.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547630284.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547630284.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.573 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.573 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547630284.574 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547630284.575 * [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 1547630284.575 * [misc]backup-simplify: Simplify 0 into 0 1547630284.575 * [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 1547630284.575 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.575 * [misc]backup-simplify: Simplify 0 into 0 1547630284.575 * [misc]backup-simplify: Simplify 0 into 0 1547630284.575 * [misc]backup-simplify: Simplify 0 into 0 1547630284.578 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547630284.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.579 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1547630284.580 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547630284.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547630284.583 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547630284.583 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547630284.583 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547630284.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547630284.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547630284.584 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547630284.585 * [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 1547630284.586 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1547630284.586 * [misc]backup-simplify: Simplify 0 into 0 1547630284.586 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1547630284.586 * [misc]taylor: Taking taylor expansion of 0 in n 1547630284.586 * [misc]backup-simplify: Simplify 0 into 0 1547630284.586 * [misc]backup-simplify: Simplify 0 into 0 1547630284.586 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1547630284.587 * * * [misc]progress: simplifying candidates 1547630284.587 * * * * [misc]progress: [ 1 / 102 ] simplifiying candidate # 1547630284.587 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1547630284.587 * * [misc]simplify: iters left: 6 (9 enodes) 1547630284.589 * * [misc]simplify: iters left: 5 (16 enodes) 1547630284.591 * * [misc]simplify: iters left: 4 (32 enodes) 1547630284.597 * * [misc]simplify: iters left: 3 (68 enodes) 1547630284.623 * * [misc]simplify: iters left: 2 (171 enodes) 1547630284.677 * * [misc]simplify: iters left: 1 (342 enodes) 1547630284.777 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1547630284.777 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1547630284.777 * * * * [misc]progress: [ 2 / 102 ] simplifiying candidate # 1547630284.778 * * * * [misc]progress: [ 3 / 102 ] simplifiying candidate # 1547630284.778 * [enter]simplify: Simplifying (* n 2) 1547630284.778 * * [misc]simplify: iters left: 2 (3 enodes) 1547630284.778 * * [misc]simplify: iters left: 1 (4 enodes) 1547630284.779 * [exit]simplify: Simplified to (* n 2) 1547630284.779 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))) (sqrt k))) 1547630284.779 * * * * [misc]progress: [ 4 / 102 ] simplifiying candidate # 1547630284.779 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547630284.779 * * [misc]simplify: iters left: 3 (6 enodes) 1547630284.780 * * [misc]simplify: iters left: 2 (7 enodes) 1547630284.781 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547630284.781 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))) (sqrt k))) 1547630284.781 * * * * [misc]progress: [ 5 / 102 ] simplifiying candidate # 1547630284.781 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630284.781 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.784 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.785 * * [misc]simplify: iters left: 3 (11 enodes) 1547630284.786 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630284.786 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))) 1547630284.787 * * * * [misc]progress: [ 6 / 102 ] simplifiying candidate # 1547630284.787 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630284.787 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.788 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.789 * * [misc]simplify: iters left: 3 (11 enodes) 1547630284.790 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630284.790 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))) 1547630284.790 * * * * [misc]progress: [ 7 / 102 ] simplifiying candidate # 1547630284.790 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630284.790 * * [misc]simplify: iters left: 4 (5 enodes) 1547630284.791 * * [misc]simplify: iters left: 3 (7 enodes) 1547630284.793 * * [misc]simplify: iters left: 2 (10 enodes) 1547630284.796 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630284.796 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.796 * * * * [misc]progress: [ 8 / 102 ] simplifiying candidate # 1547630284.796 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630284.796 * * [misc]simplify: iters left: 5 (7 enodes) 1547630284.798 * * [misc]simplify: iters left: 4 (10 enodes) 1547630284.801 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630284.801 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1547630284.801 * * * * [misc]progress: [ 9 / 102 ] simplifiying candidate # 1547630284.802 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630284.802 * * [misc]simplify: iters left: 5 (7 enodes) 1547630284.804 * * [misc]simplify: iters left: 4 (10 enodes) 1547630284.806 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630284.806 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1547630284.806 * * * * [misc]progress: [ 10 / 102 ] simplifiying candidate # 1547630284.807 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1547630284.807 * * [misc]simplify: iters left: 5 (7 enodes) 1547630284.809 * * [misc]simplify: iters left: 4 (9 enodes) 1547630284.811 * * [misc]simplify: iters left: 3 (12 enodes) 1547630284.815 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547630284.815 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k))) 1547630284.815 * * * * [misc]progress: [ 11 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 12 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 13 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 14 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 15 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 16 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 17 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 18 / 102 ] simplifiying candidate # 1547630284.815 * * * * [misc]progress: [ 19 / 102 ] simplifiying candidate # 1547630284.816 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1547630284.816 * * [misc]simplify: iters left: 3 (5 enodes) 1547630284.817 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1547630284.817 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow PI 1/2) (pow PI (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.817 * * * * [misc]progress: [ 20 / 102 ] simplifiying candidate # 1547630284.818 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547630284.818 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.819 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.822 * * [misc]simplify: iters left: 3 (11 enodes) 1547630284.824 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547630284.824 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.825 * * * * [misc]progress: [ 21 / 102 ] simplifiying candidate # 1547630284.825 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547630284.825 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.826 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.829 * * [misc]simplify: iters left: 3 (11 enodes) 1547630284.831 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547630284.831 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.831 * * * * [misc]progress: [ 22 / 102 ] simplifiying candidate # 1547630284.832 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630284.832 * * [misc]simplify: iters left: 4 (5 enodes) 1547630284.833 * * [misc]simplify: iters left: 3 (7 enodes) 1547630284.835 * * [misc]simplify: iters left: 2 (10 enodes) 1547630284.838 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630284.838 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI 1) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.838 * * * * [misc]progress: [ 23 / 102 ] simplifiying candidate # 1547630284.838 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547630284.838 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.840 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.842 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547630284.842 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.842 * * * * [misc]progress: [ 24 / 102 ] simplifiying candidate # 1547630284.842 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547630284.843 * * [misc]simplify: iters left: 5 (6 enodes) 1547630284.844 * * [misc]simplify: iters left: 4 (8 enodes) 1547630284.847 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547630284.847 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630284.847 * * * * [misc]progress: [ 25 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 26 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 27 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 28 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 29 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 30 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 31 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 32 / 102 ] simplifiying candidate # 1547630284.847 * * * * [misc]progress: [ 33 / 102 ] simplifiying candidate # 1547630284.847 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547630284.848 * * [misc]simplify: iters left: 6 (16 enodes) 1547630284.853 * * [misc]simplify: iters left: 5 (31 enodes) 1547630284.864 * * [misc]simplify: iters left: 4 (66 enodes) 1547630284.894 * * [misc]simplify: iters left: 3 (209 enodes) 1547630285.004 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1547630285.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1547630285.004 * * * * [misc]progress: [ 34 / 102 ] simplifiying candidate # 1547630285.005 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547630285.005 * * [misc]simplify: iters left: 6 (16 enodes) 1547630285.008 * * [misc]simplify: iters left: 5 (31 enodes) 1547630285.014 * * [misc]simplify: iters left: 4 (66 enodes) 1547630285.044 * * [misc]simplify: iters left: 3 (209 enodes) 1547630285.158 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1547630285.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1547630285.158 * * * * [misc]progress: [ 35 / 102 ] simplifiying candidate # 1547630285.158 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547630285.158 * * [misc]simplify: iters left: 6 (16 enodes) 1547630285.163 * * [misc]simplify: iters left: 5 (27 enodes) 1547630285.172 * * [misc]simplify: iters left: 4 (53 enodes) 1547630285.191 * * [misc]simplify: iters left: 3 (119 enodes) 1547630285.228 * * [misc]simplify: iters left: 2 (417 enodes) 1547630285.597 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630285.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630285.597 * * * * [misc]progress: [ 36 / 102 ] simplifiying candidate # 1547630285.597 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547630285.597 * * [misc]simplify: iters left: 6 (16 enodes) 1547630285.600 * * [misc]simplify: iters left: 5 (30 enodes) 1547630285.605 * * [misc]simplify: iters left: 4 (59 enodes) 1547630285.617 * * [misc]simplify: iters left: 3 (167 enodes) 1547630285.736 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630285.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630285.736 * * * * [misc]progress: [ 37 / 102 ] simplifiying candidate # 1547630285.736 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547630285.737 * * [misc]simplify: iters left: 6 (16 enodes) 1547630285.742 * * [misc]simplify: iters left: 5 (30 enodes) 1547630285.752 * * [misc]simplify: iters left: 4 (59 enodes) 1547630285.778 * * [misc]simplify: iters left: 3 (167 enodes) 1547630285.881 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630285.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630285.881 * * * * [misc]progress: [ 38 / 102 ] simplifiying candidate # 1547630285.881 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547630285.882 * * [misc]simplify: iters left: 6 (16 enodes) 1547630285.886 * * [misc]simplify: iters left: 5 (28 enodes) 1547630285.895 * * [misc]simplify: iters left: 4 (49 enodes) 1547630285.911 * * [misc]simplify: iters left: 3 (89 enodes) 1547630285.963 * * [misc]simplify: iters left: 2 (331 enodes) 1547630286.196 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630286.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630286.197 * * * * [misc]progress: [ 39 / 102 ] simplifiying candidate # 1547630286.197 * [enter]simplify: Simplifying (- (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547630286.197 * * [misc]simplify: iters left: 6 (15 enodes) 1547630286.202 * * [misc]simplify: iters left: 5 (24 enodes) 1547630286.209 * * [misc]simplify: iters left: 4 (37 enodes) 1547630286.221 * * [misc]simplify: iters left: 3 (55 enodes) 1547630286.242 * * [misc]simplify: iters left: 2 (92 enodes) 1547630286.298 * * [misc]simplify: iters left: 1 (352 enodes) 1547630286.696 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547630286.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1547630286.696 * * * * [misc]progress: [ 40 / 102 ] simplifiying candidate # 1547630286.696 * * * * [misc]progress: [ 41 / 102 ] simplifiying candidate # 1547630286.696 * * * * [misc]progress: [ 42 / 102 ] simplifiying candidate # 1547630286.696 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1547630286.696 * * [misc]simplify: iters left: 6 (19 enodes) 1547630286.700 * * [misc]simplify: iters left: 5 (37 enodes) 1547630286.708 * * [misc]simplify: iters left: 4 (124 enodes) 1547630286.746 * * [misc]simplify: iters left: 3 (414 enodes) 1547630287.162 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547630287.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1547630287.162 * * * * [misc]progress: [ 43 / 102 ] simplifiying candidate # 1547630287.163 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1547630287.163 * * [misc]simplify: iters left: 6 (17 enodes) 1547630287.169 * * [misc]simplify: iters left: 5 (36 enodes) 1547630287.183 * * [misc]simplify: iters left: 4 (104 enodes) 1547630287.206 * * [misc]simplify: iters left: 3 (355 enodes) 1547630287.570 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1547630287.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1547630287.570 * * * * [misc]progress: [ 44 / 102 ] simplifiying candidate # 1547630287.570 * * * * [misc]progress: [ 45 / 102 ] simplifiying candidate # 1547630287.571 * * * * [misc]progress: [ 46 / 102 ] simplifiying candidate # 1547630287.571 * * * * [misc]progress: [ 47 / 102 ] simplifiying candidate # 1547630287.571 * * * * [misc]progress: [ 48 / 102 ] simplifiying candidate # 1547630287.571 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630287.571 * * [misc]simplify: iters left: 6 (11 enodes) 1547630287.574 * * [misc]simplify: iters left: 5 (15 enodes) 1547630287.579 * * [misc]simplify: iters left: 4 (18 enodes) 1547630287.584 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547630287.584 * [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))))) 1547630287.584 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630287.584 * * [misc]simplify: iters left: 6 (11 enodes) 1547630287.588 * * [misc]simplify: iters left: 5 (14 enodes) 1547630287.592 * * [misc]simplify: iters left: 4 (17 enodes) 1547630287.596 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547630287.596 * [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))))) 1547630287.597 * * * * [misc]progress: [ 49 / 102 ] simplifiying candidate # 1547630287.597 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630287.597 * * [misc]simplify: iters left: 6 (10 enodes) 1547630287.600 * * [misc]simplify: iters left: 5 (12 enodes) 1547630287.603 * * [misc]simplify: iters left: 4 (15 enodes) 1547630287.607 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630287.607 * [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))))) 1547630287.608 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630287.608 * * [misc]simplify: iters left: 6 (11 enodes) 1547630287.611 * * [misc]simplify: iters left: 5 (14 enodes) 1547630287.615 * * [misc]simplify: iters left: 4 (17 enodes) 1547630287.620 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547630287.620 * [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))))) 1547630287.620 * * * * [misc]progress: [ 50 / 102 ] simplifiying candidate # 1547630287.620 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1547630287.620 * * [misc]simplify: iters left: 6 (9 enodes) 1547630287.622 * * [misc]simplify: iters left: 5 (13 enodes) 1547630287.626 * * [misc]simplify: iters left: 4 (18 enodes) 1547630287.630 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630287.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547630287.630 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547630287.630 * * [misc]simplify: iters left: 6 (10 enodes) 1547630287.633 * * [misc]simplify: iters left: 5 (13 enodes) 1547630287.636 * * [misc]simplify: iters left: 4 (16 enodes) 1547630287.640 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547630287.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547630287.641 * * * * [misc]progress: [ 51 / 102 ] simplifiying candidate # 1547630287.641 * * * * [misc]progress: [ 52 / 102 ] simplifiying candidate # 1547630287.641 * * * * [misc]progress: [ 53 / 102 ] simplifiying candidate # 1547630287.641 * * * * [misc]progress: [ 54 / 102 ] simplifiying candidate # 1547630287.641 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1547630287.641 * * [misc]simplify: iters left: 2 (3 enodes) 1547630287.642 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1547630287.642 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1547630287.642 * * * * [misc]progress: [ 55 / 102 ] simplifiying candidate # 1547630287.642 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547630287.642 * * [misc]simplify: iters left: 2 (3 enodes) 1547630287.643 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547630287.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1547630287.643 * * * * [misc]progress: [ 56 / 102 ] simplifiying candidate # 1547630287.644 * [enter]simplify: Simplifying (sqrt k) 1547630287.644 * * [misc]simplify: iters left: 1 (2 enodes) 1547630287.644 * [exit]simplify: Simplified to (sqrt k) 1547630287.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) 1547630287.644 * * * * [misc]progress: [ 57 / 102 ] simplifiying candidate # 1547630287.645 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547630287.645 * * [misc]simplify: iters left: 5 (7 enodes) 1547630287.647 * * [misc]simplify: iters left: 4 (9 enodes) 1547630287.650 * * [misc]simplify: iters left: 3 (12 enodes) 1547630287.653 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547630287.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547630287.653 * * * * [misc]progress: [ 58 / 102 ] simplifiying candidate # 1547630287.654 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1547630287.654 * * [misc]simplify: iters left: 5 (8 enodes) 1547630287.656 * * [misc]simplify: iters left: 4 (12 enodes) 1547630287.659 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1547630287.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (sqrt k) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))))) 1547630287.659 * * * * [misc]progress: [ 59 / 102 ] simplifiying candidate # 1547630287.660 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) 1547630287.660 * * [misc]simplify: iters left: 6 (11 enodes) 1547630287.663 * * [misc]simplify: iters left: 5 (16 enodes) 1547630287.666 * * [misc]simplify: iters left: 4 (19 enodes) 1547630287.671 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1547630287.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (pow (* n 2) (/ k 2))))) 1547630287.671 * * * * [misc]progress: [ 60 / 102 ] simplifiying candidate # 1547630287.671 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630287.671 * * [misc]simplify: iters left: 6 (11 enodes) 1547630287.674 * * [misc]simplify: iters left: 5 (16 enodes) 1547630287.678 * * [misc]simplify: iters left: 4 (19 enodes) 1547630287.682 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630287.682 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2))))) 1547630287.682 * * * * [misc]progress: [ 61 / 102 ] simplifiying candidate # 1547630287.683 * [enter]simplify: Simplifying (* PI (* n 2)) 1547630287.683 * * [misc]simplify: iters left: 4 (5 enodes) 1547630287.684 * * [misc]simplify: iters left: 3 (9 enodes) 1547630287.687 * * [misc]simplify: iters left: 2 (15 enodes) 1547630287.691 * * [misc]simplify: iters left: 1 (17 enodes) 1547630287.694 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547630287.695 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1547630287.696 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547630287.696 * * [misc]simplify: iters left: 4 (5 enodes) 1547630287.698 * * [misc]simplify: iters left: 3 (7 enodes) 1547630287.700 * * [misc]simplify: iters left: 2 (10 enodes) 1547630287.703 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547630287.703 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1547630287.703 * * * * [misc]progress: [ 62 / 102 ] simplifiying candidate # 1547630287.703 * * * * [misc]progress: [ 63 / 102 ] simplifiying candidate # 1547630287.703 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630287.704 * * [misc]simplify: iters left: 6 (13 enodes) 1547630287.709 * * [misc]simplify: iters left: 5 (24 enodes) 1547630287.717 * * [misc]simplify: iters left: 4 (51 enodes) 1547630287.736 * * [misc]simplify: iters left: 3 (139 enodes) 1547630287.770 * * [misc]simplify: iters left: 2 (419 enodes) 1547630287.990 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1547630287.990 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1547630287.990 * * * * [misc]progress: [ 64 / 102 ] simplifiying candidate # 1547630287.990 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630287.990 * * [misc]simplify: iters left: 6 (13 enodes) 1547630287.995 * * [misc]simplify: iters left: 5 (24 enodes) 1547630288.003 * * [misc]simplify: iters left: 4 (51 enodes) 1547630288.022 * * [misc]simplify: iters left: 3 (139 enodes) 1547630288.078 * * [misc]simplify: iters left: 2 (419 enodes) 1547630288.329 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1547630288.329 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1547630288.329 * * * * [misc]progress: [ 65 / 102 ] simplifiying candidate # 1547630288.329 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547630288.330 * * [misc]simplify: iters left: 6 (13 enodes) 1547630288.332 * * [misc]simplify: iters left: 5 (20 enodes) 1547630288.335 * * [misc]simplify: iters left: 4 (38 enodes) 1547630288.342 * * [misc]simplify: iters left: 3 (81 enodes) 1547630288.369 * * [misc]simplify: iters left: 2 (245 enodes) 1547630288.525 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) 1547630288.526 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)))) (sqrt k))) 1547630288.526 * * * * [misc]progress: [ 66 / 102 ] simplifiying candidate # 1547630288.526 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630288.526 * * [misc]simplify: iters left: 6 (13 enodes) 1547630288.528 * * [misc]simplify: iters left: 5 (23 enodes) 1547630288.532 * * [misc]simplify: iters left: 4 (44 enodes) 1547630288.540 * * [misc]simplify: iters left: 3 (113 enodes) 1547630288.600 * * [misc]simplify: iters left: 2 (379 enodes) 1547630288.788 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1547630288.788 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1547630288.788 * * * * [misc]progress: [ 67 / 102 ] simplifiying candidate # 1547630288.788 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547630288.788 * * [misc]simplify: iters left: 6 (13 enodes) 1547630288.792 * * [misc]simplify: iters left: 5 (23 enodes) 1547630288.796 * * [misc]simplify: iters left: 4 (44 enodes) 1547630288.804 * * [misc]simplify: iters left: 3 (113 enodes) 1547630288.839 * * [misc]simplify: iters left: 2 (379 enodes) 1547630289.013 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1547630289.013 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1547630289.013 * * * * [misc]progress: [ 68 / 102 ] simplifiying candidate # 1547630289.013 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547630289.013 * * [misc]simplify: iters left: 6 (13 enodes) 1547630289.015 * * [misc]simplify: iters left: 5 (21 enodes) 1547630289.018 * * [misc]simplify: iters left: 4 (34 enodes) 1547630289.023 * * [misc]simplify: iters left: 3 (67 enodes) 1547630289.044 * * [misc]simplify: iters left: 2 (179 enodes) 1547630289.123 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1547630289.123 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k))) 1547630289.123 * * * * [misc]progress: [ 69 / 102 ] simplifiying candidate # 1547630289.123 * * * * [misc]progress: [ 70 / 102 ] simplifiying candidate # 1547630289.123 * * * * [misc]progress: [ 71 / 102 ] simplifiying candidate # 1547630289.123 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1547630289.123 * * [misc]simplify: iters left: 6 (15 enodes) 1547630289.126 * * [misc]simplify: iters left: 5 (25 enodes) 1547630289.130 * * [misc]simplify: iters left: 4 (53 enodes) 1547630289.138 * * [misc]simplify: iters left: 3 (88 enodes) 1547630289.153 * * [misc]simplify: iters left: 2 (122 enodes) 1547630289.176 * * [misc]simplify: iters left: 1 (129 enodes) 1547630289.206 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1547630289.206 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3)) (sqrt k))) 1547630289.206 * * * * [misc]progress: [ 72 / 102 ] simplifiying candidate # 1547630289.206 * * * * [misc]progress: [ 73 / 102 ] simplifiying candidate # 1547630289.206 * * * * [misc]progress: [ 74 / 102 ] simplifiying candidate # 1547630289.206 * * * * [misc]progress: [ 75 / 102 ] simplifiying candidate # 1547630289.207 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1547630289.207 * * [misc]simplify: iters left: 5 (8 enodes) 1547630289.209 * * [misc]simplify: iters left: 4 (12 enodes) 1547630289.213 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1547630289.213 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))) (sqrt k))) 1547630289.213 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1547630289.213 * * [misc]simplify: iters left: 5 (9 enodes) 1547630289.216 * * [misc]simplify: iters left: 4 (11 enodes) 1547630289.219 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1547630289.219 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 1547630289.219 * * * * [misc]progress: [ 76 / 102 ] simplifiying candidate # 1547630289.219 * * * * [misc]progress: [ 77 / 102 ] simplifiying candidate # 1547630289.219 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630289.219 * * [misc]simplify: iters left: 5 (7 enodes) 1547630289.220 * * [misc]simplify: iters left: 4 (10 enodes) 1547630289.222 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630289.222 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1547630289.222 * * * * [misc]progress: [ 78 / 102 ] simplifiying candidate # 1547630289.222 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547630289.222 * * [misc]simplify: iters left: 5 (7 enodes) 1547630289.223 * * [misc]simplify: iters left: 4 (10 enodes) 1547630289.224 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547630289.224 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1547630289.224 * * * * [misc]progress: [ 79 / 102 ] simplifiying candidate # 1547630289.224 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1547630289.224 * * [misc]simplify: iters left: 5 (6 enodes) 1547630289.225 * * [misc]simplify: iters left: 4 (8 enodes) 1547630289.226 * * [misc]simplify: iters left: 3 (11 enodes) 1547630289.228 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1547630289.228 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) 1547630289.228 * * * * [misc]progress: [ 80 / 102 ] simplifiying candidate # 1547630289.228 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.228 * * [misc]simplify: iters left: 6 (9 enodes) 1547630289.229 * * [misc]simplify: iters left: 5 (12 enodes) 1547630289.231 * * [misc]simplify: iters left: 4 (15 enodes) 1547630289.233 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.233 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.233 * * * * [misc]progress: [ 81 / 102 ] simplifiying candidate # 1547630289.233 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.233 * * [misc]simplify: iters left: 6 (9 enodes) 1547630289.234 * * [misc]simplify: iters left: 5 (12 enodes) 1547630289.236 * * [misc]simplify: iters left: 4 (15 enodes) 1547630289.238 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.238 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.238 * * * * [misc]progress: [ 82 / 102 ] simplifiying candidate # 1547630289.238 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547630289.238 * * [misc]simplify: iters left: 5 (8 enodes) 1547630289.239 * * [misc]simplify: iters left: 4 (11 enodes) 1547630289.241 * * [misc]simplify: iters left: 3 (14 enodes) 1547630289.243 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547630289.243 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) 1) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630289.243 * * * * [misc]progress: [ 83 / 102 ] simplifiying candidate # 1547630289.243 * [enter]simplify: Simplifying (pow PI 1/2) 1547630289.243 * * [misc]simplify: iters left: 1 (3 enodes) 1547630289.243 * [exit]simplify: Simplified to (sqrt PI) 1547630289.243 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.243 * * * * [misc]progress: [ 84 / 102 ] simplifiying candidate # 1547630289.244 * [enter]simplify: Simplifying (pow PI 1/2) 1547630289.244 * * [misc]simplify: iters left: 1 (3 enodes) 1547630289.244 * [exit]simplify: Simplified to (sqrt PI) 1547630289.244 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.244 * * * * [misc]progress: [ 85 / 102 ] simplifiying candidate # 1547630289.244 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630289.244 * * [misc]simplify: iters left: 6 (9 enodes) 1547630289.245 * * [misc]simplify: iters left: 5 (11 enodes) 1547630289.247 * * [misc]simplify: iters left: 4 (14 enodes) 1547630289.251 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547630289.251 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.251 * * * * [misc]progress: [ 86 / 102 ] simplifiying candidate # 1547630289.251 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1547630289.251 * * [misc]simplify: iters left: 6 (8 enodes) 1547630289.254 * * [misc]simplify: iters left: 5 (10 enodes) 1547630289.256 * * [misc]simplify: iters left: 4 (13 enodes) 1547630289.260 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547630289.260 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1547630289.260 * * * * [misc]progress: [ 87 / 102 ] simplifiying candidate # 1547630289.261 * * * * [misc]progress: [ 88 / 102 ] simplifiying candidate # 1547630289.261 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547630289.261 * * [misc]simplify: iters left: 3 (6 enodes) 1547630289.263 * * [misc]simplify: iters left: 2 (7 enodes) 1547630289.264 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547630289.264 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))) 1547630289.264 * * * * [misc]progress: [ 89 / 102 ] simplifiying candidate # 1547630289.264 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.264 * * [misc]simplify: iters left: 6 (11 enodes) 1547630289.266 * * [misc]simplify: iters left: 5 (16 enodes) 1547630289.268 * * [misc]simplify: iters left: 4 (19 enodes) 1547630289.271 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1547630289.271 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) (sqrt k))) 1547630289.271 * * * * [misc]progress: [ 90 / 102 ] simplifiying candidate # 1547630289.271 * * * * [misc]progress: [ 91 / 102 ] simplifiying candidate # 1547630289.271 * [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))))) 1547630289.271 * * [misc]simplify: iters left: 6 (35 enodes) 1547630289.278 * * [misc]simplify: iters left: 5 (99 enodes) 1547630289.303 * * [misc]simplify: iters left: 4 (298 enodes) 1547630289.499 * [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))))))) 1547630289.499 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (+ (- (* (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)))))))) (sqrt k))) 1547630289.499 * * * * [misc]progress: [ 92 / 102 ] simplifiying candidate # 1547630289.499 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1547630289.500 * * [misc]simplify: iters left: 6 (13 enodes) 1547630289.502 * * [misc]simplify: iters left: 5 (27 enodes) 1547630289.507 * * [misc]simplify: iters left: 4 (53 enodes) 1547630289.517 * * [misc]simplify: iters left: 3 (116 enodes) 1547630289.940 * * [misc]simplify: iters left: 2 (362 enodes) 1547630290.162 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1547630290.162 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (sqrt (* n 2)) (- 1 k))) (sqrt k))) 1547630290.162 * * * * [misc]progress: [ 93 / 102 ] simplifiying candidate # 1547630290.162 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1547630290.162 * * [misc]simplify: iters left: 6 (13 enodes) 1547630290.168 * * [misc]simplify: iters left: 5 (24 enodes) 1547630290.176 * * [misc]simplify: iters left: 4 (54 enodes) 1547630290.190 * * [misc]simplify: iters left: 3 (143 enodes) 1547630290.232 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1547630290.232 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))) (sqrt k))) 1547630290.232 * * * * [misc]progress: [ 94 / 102 ] simplifiying candidate # 1547630290.233 * [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)))) 1547630290.233 * * [misc]simplify: iters left: 6 (18 enodes) 1547630290.237 * * [misc]simplify: iters left: 5 (39 enodes) 1547630290.244 * * [misc]simplify: iters left: 4 (104 enodes) 1547630290.264 * * [misc]simplify: iters left: 3 (275 enodes) 1547630290.417 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1547630290.417 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630290.417 * * * * [misc]progress: [ 95 / 102 ] simplifiying candidate # 1547630290.417 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547630290.417 * * [misc]simplify: iters left: 5 (6 enodes) 1547630290.419 * * [misc]simplify: iters left: 4 (9 enodes) 1547630290.423 * * [misc]simplify: iters left: 3 (17 enodes) 1547630290.427 * * [misc]simplify: iters left: 2 (20 enodes) 1547630290.431 * * [misc]simplify: iters left: 1 (24 enodes) 1547630290.440 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1547630290.440 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630290.442 * * * * [misc]progress: [ 96 / 102 ] simplifiying candidate # 1547630290.443 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547630290.443 * * [misc]simplify: iters left: 5 (6 enodes) 1547630290.445 * * [misc]simplify: iters left: 4 (9 enodes) 1547630290.448 * * [misc]simplify: iters left: 3 (17 enodes) 1547630290.453 * * [misc]simplify: iters left: 2 (20 enodes) 1547630290.457 * * [misc]simplify: iters left: 1 (24 enodes) 1547630290.463 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1547630290.463 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (* k 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547630290.463 * * * * [misc]progress: [ 97 / 102 ] simplifiying candidate # 1547630290.463 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1547630290.463 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630290.463 * * * * [misc]progress: [ 98 / 102 ] simplifiying candidate # 1547630290.463 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1547630290.463 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630290.463 * * * * [misc]progress: [ 99 / 102 ] simplifiying candidate # 1547630290.463 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1547630290.463 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547630290.463 * * * * [misc]progress: [ 100 / 102 ] simplifiying candidate # 1547630290.464 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1547630290.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1547630290.464 * * * * [misc]progress: [ 101 / 102 ] simplifiying candidate # 1547630290.464 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1547630290.464 * * [misc]simplify: iters left: 6 (16 enodes) 1547630290.467 * * [misc]simplify: iters left: 5 (31 enodes) 1547630290.472 * * [misc]simplify: iters left: 4 (57 enodes) 1547630290.481 * * [misc]simplify: iters left: 3 (120 enodes) 1547630290.521 * * [misc]simplify: iters left: 2 (374 enodes) 1547630290.757 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1547630290.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1547630290.757 * * * * [misc]progress: [ 102 / 102 ] simplifiying candidate # 1547630290.757 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1547630290.758 * * [misc]simplify: iters left: 6 (16 enodes) 1547630290.761 * * [misc]simplify: iters left: 5 (28 enodes) 1547630290.766 * * [misc]simplify: iters left: 4 (58 enodes) 1547630290.780 * * [misc]simplify: iters left: 3 (147 enodes) 1547630290.850 * [exit]simplify: Simplified to (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) 1547630290.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1547630290.851 * * * [misc]progress: adding candidates to table 1547630292.104 * [misc]progress: [Phase 3 of 3] Extracting. 1547630292.104 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1547630292.106 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1547630292.106 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1547630292.184 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1547630292.239 * * * [misc]regime: Found split indices: #