1547633579.596 * [misc]progress: [Phase 1 of 3] Setting up. 1547633579.596 * * * [misc]progress: [1/2] Preparing points 1547633579.596 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1547633579.636 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.636 * * * * [misc]points: Sampling 205 additional inputs, on iter 1 have 51 / 256 1547633579.680 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.680 * * * * [misc]points: Sampling 147 additional inputs, on iter 2 have 109 / 256 1547633579.702 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.702 * * * * [misc]points: Sampling 116 additional inputs, on iter 3 have 140 / 256 1547633579.750 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.750 * * * * [misc]points: Sampling 85 additional inputs, on iter 4 have 171 / 256 1547633579.765 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.765 * * * * [misc]points: Sampling 59 additional inputs, on iter 5 have 197 / 256 1547633579.786 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.786 * * * * [misc]points: Sampling 41 additional inputs, on iter 6 have 215 / 256 1547633579.803 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.803 * * * * [misc]points: Sampling 28 additional inputs, on iter 7 have 228 / 256 1547633579.816 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.816 * * * * [misc]points: Sampling 22 additional inputs, on iter 8 have 234 / 256 1547633579.828 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.828 * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 240 / 256 1547633579.839 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.839 * * * * [misc]points: Sampling 12 additional inputs, on iter 10 have 244 / 256 1547633579.848 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.848 * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 1547633579.857 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.857 * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 253 / 256 1547633579.864 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.864 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 1547633579.872 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.872 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 254 / 256 1547633579.879 * * * * [misc]points: Filtering points with unrepresentable outputs 1547633579.879 * * * * [exit]points: Sampled 256 points with exact outputs 1547633579.879 * * * [misc]progress: [2/2] Setting up program. 1547633579.886 * [misc]progress: [Phase 2 of 3] Improving. 1547633579.886 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1547633579.886 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1547633579.886 * * [misc]simplify: iters left: 6 (13 enodes) 1547633579.892 * * [misc]simplify: iters left: 5 (28 enodes) 1547633579.926 * * [misc]simplify: iters left: 4 (44 enodes) 1547633579.944 * * [misc]simplify: iters left: 3 (54 enodes) 1547633579.955 * * [misc]simplify: iters left: 2 (57 enodes) 1547633579.967 * * [misc]simplify: iters left: 1 (65 enodes) 1547633579.983 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1547633579.983 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1547633579.995 * * [misc]progress: iteration 1 / 4 1547633579.995 * * * [misc]progress: picking best candidate 1547633580.006 * * * * [misc]pick: Picked # 1547633580.006 * * * [misc]progress: localizing error 1547633580.050 * * * [misc]progress: generating rewritten candidates 1547633580.050 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1547633580.053 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1547633580.055 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1547633580.073 * * * [misc]progress: generating series expansions 1547633580.073 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1547633580.074 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1547633580.074 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1547633580.074 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.074 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.074 * [misc]taylor: Taking taylor expansion of k in k 1547633580.074 * [misc]backup-simplify: Simplify 0 into 0 1547633580.074 * [misc]backup-simplify: Simplify 1 into 1 1547633580.074 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.074 * [misc]backup-simplify: Simplify 2 into 2 1547633580.074 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633580.074 * [misc]taylor: Taking taylor expansion of n in k 1547633580.074 * [misc]backup-simplify: Simplify n into n 1547633580.074 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.074 * [misc]backup-simplify: Simplify PI into PI 1547633580.074 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633580.074 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633580.074 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633580.075 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633580.075 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.075 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.075 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633580.075 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633580.075 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633580.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633580.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.076 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.076 * [misc]taylor: Taking taylor expansion of k in n 1547633580.076 * [misc]backup-simplify: Simplify k into k 1547633580.076 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.076 * [misc]backup-simplify: Simplify 2 into 2 1547633580.076 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.076 * [misc]taylor: Taking taylor expansion of n in n 1547633580.076 * [misc]backup-simplify: Simplify 0 into 0 1547633580.076 * [misc]backup-simplify: Simplify 1 into 1 1547633580.076 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.076 * [misc]backup-simplify: Simplify PI into PI 1547633580.076 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633580.077 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633580.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633580.078 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633580.078 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.078 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633580.078 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633580.079 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633580.079 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.080 * [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)))) 1547633580.080 * [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))))) 1547633580.081 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.081 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.081 * [misc]taylor: Taking taylor expansion of k in n 1547633580.081 * [misc]backup-simplify: Simplify k into k 1547633580.081 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.081 * [misc]backup-simplify: Simplify 2 into 2 1547633580.081 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.081 * [misc]taylor: Taking taylor expansion of n in n 1547633580.081 * [misc]backup-simplify: Simplify 0 into 0 1547633580.081 * [misc]backup-simplify: Simplify 1 into 1 1547633580.081 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.081 * [misc]backup-simplify: Simplify PI into PI 1547633580.081 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633580.081 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633580.082 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633580.083 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633580.083 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.083 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633580.083 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633580.083 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633580.084 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.085 * [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)))) 1547633580.085 * [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))))) 1547633580.085 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547633580.085 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547633580.085 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633580.085 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.086 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633580.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.086 * [misc]taylor: Taking taylor expansion of k in k 1547633580.086 * [misc]backup-simplify: Simplify 0 into 0 1547633580.086 * [misc]backup-simplify: Simplify 1 into 1 1547633580.086 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547633580.086 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.086 * [misc]taylor: Taking taylor expansion of n in k 1547633580.086 * [misc]backup-simplify: Simplify n into n 1547633580.086 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.086 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633580.086 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633580.086 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.086 * [misc]backup-simplify: Simplify 2 into 2 1547633580.086 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.086 * [misc]backup-simplify: Simplify PI into PI 1547633580.086 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.087 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.087 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633580.087 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.087 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.088 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.088 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547633580.089 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547633580.089 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547633580.091 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633580.092 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633580.095 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547633580.095 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.096 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.097 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547633580.098 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.098 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.098 * [misc]backup-simplify: Simplify 0 into 0 1547633580.098 * [misc]backup-simplify: Simplify 0 into 0 1547633580.099 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547633580.100 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633580.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.103 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633580.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.103 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.104 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547633580.106 * [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))))))) 1547633580.107 * [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))))))) 1547633580.109 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547633580.115 * [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 1547633580.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547633580.116 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.116 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.117 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633580.120 * [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 1547633580.120 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.120 * [misc]backup-simplify: Simplify 0 into 0 1547633580.120 * [misc]backup-simplify: Simplify 0 into 0 1547633580.120 * [misc]backup-simplify: Simplify 0 into 0 1547633580.121 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547633580.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.127 * [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 1547633580.127 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633580.128 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633580.131 * [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))))) 1547633580.133 * [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))))) 1547633580.138 * [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))))) 1547633580.139 * [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)))) 1547633580.139 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547633580.139 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.139 * [misc]taylor: Taking taylor expansion of k in k 1547633580.139 * [misc]backup-simplify: Simplify 0 into 0 1547633580.139 * [misc]backup-simplify: Simplify 1 into 1 1547633580.139 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.139 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633580.140 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633580.140 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.140 * [misc]backup-simplify: Simplify 2 into 2 1547633580.140 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633580.140 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.140 * [misc]backup-simplify: Simplify PI into PI 1547633580.140 * [misc]taylor: Taking taylor expansion of n in k 1547633580.140 * [misc]backup-simplify: Simplify n into n 1547633580.140 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633580.140 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633580.140 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633580.140 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.140 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.140 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.141 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633580.141 * [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)))) 1547633580.141 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of k in n 1547633580.141 * [misc]backup-simplify: Simplify k into k 1547633580.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.141 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.141 * [misc]backup-simplify: Simplify 2 into 2 1547633580.141 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.141 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.142 * [misc]backup-simplify: Simplify PI into PI 1547633580.142 * [misc]taylor: Taking taylor expansion of n in n 1547633580.142 * [misc]backup-simplify: Simplify 0 into 0 1547633580.142 * [misc]backup-simplify: Simplify 1 into 1 1547633580.142 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.142 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.143 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.143 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.143 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633580.143 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633580.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.144 * [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))) 1547633580.145 * [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)))) 1547633580.145 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.145 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.145 * [misc]taylor: Taking taylor expansion of k in n 1547633580.145 * [misc]backup-simplify: Simplify k into k 1547633580.145 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.145 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633580.146 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.146 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.146 * [misc]backup-simplify: Simplify 2 into 2 1547633580.146 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.146 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.146 * [misc]backup-simplify: Simplify PI into PI 1547633580.146 * [misc]taylor: Taking taylor expansion of n in n 1547633580.146 * [misc]backup-simplify: Simplify 0 into 0 1547633580.146 * [misc]backup-simplify: Simplify 1 into 1 1547633580.146 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.146 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.147 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.147 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633580.147 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633580.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.148 * [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))) 1547633580.149 * [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)))) 1547633580.149 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.149 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.149 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of k in k 1547633580.149 * [misc]backup-simplify: Simplify 0 into 0 1547633580.149 * [misc]backup-simplify: Simplify 1 into 1 1547633580.149 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.149 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547633580.149 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633580.150 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633580.150 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.150 * [misc]backup-simplify: Simplify 2 into 2 1547633580.150 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.150 * [misc]backup-simplify: Simplify PI into PI 1547633580.150 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.150 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.150 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.150 * [misc]taylor: Taking taylor expansion of n in k 1547633580.150 * [misc]backup-simplify: Simplify n into n 1547633580.150 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.151 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.151 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.151 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.151 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633580.152 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547633580.152 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547633580.153 * [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)))) 1547633580.153 * [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)))) 1547633580.154 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.155 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633580.158 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.158 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633580.159 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.159 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.160 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547633580.162 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.162 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.162 * [misc]backup-simplify: Simplify 0 into 0 1547633580.162 * [misc]backup-simplify: Simplify 0 into 0 1547633580.162 * [misc]backup-simplify: Simplify 0 into 0 1547633580.164 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.170 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1547633580.170 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633580.170 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.171 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.172 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547633580.174 * [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 1547633580.174 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.175 * [misc]backup-simplify: Simplify 0 into 0 1547633580.175 * [misc]backup-simplify: Simplify 0 into 0 1547633580.175 * [misc]backup-simplify: Simplify 0 into 0 1547633580.175 * [misc]backup-simplify: Simplify 0 into 0 1547633580.177 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.178 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.186 * [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 1547633580.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633580.187 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.189 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547633580.193 * [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 1547633580.193 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.193 * [misc]backup-simplify: Simplify 0 into 0 1547633580.193 * [misc]backup-simplify: Simplify 0 into 0 1547633580.193 * [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))))) 1547633580.194 * [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)) 1547633580.194 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547633580.194 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of k in k 1547633580.194 * [misc]backup-simplify: Simplify 0 into 0 1547633580.194 * [misc]backup-simplify: Simplify 1 into 1 1547633580.194 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.194 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633580.194 * [misc]taylor: Taking taylor expansion of -2 in k 1547633580.194 * [misc]backup-simplify: Simplify -2 into -2 1547633580.194 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633580.195 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.195 * [misc]backup-simplify: Simplify PI into PI 1547633580.195 * [misc]taylor: Taking taylor expansion of n in k 1547633580.195 * [misc]backup-simplify: Simplify n into n 1547633580.195 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633580.195 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633580.195 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633580.195 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.195 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.195 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633580.195 * [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))) 1547633580.196 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of k in n 1547633580.196 * [misc]backup-simplify: Simplify k into k 1547633580.196 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.196 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.196 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.196 * [misc]backup-simplify: Simplify -2 into -2 1547633580.196 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.196 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.196 * [misc]backup-simplify: Simplify PI into PI 1547633580.196 * [misc]taylor: Taking taylor expansion of n in n 1547633580.196 * [misc]backup-simplify: Simplify 0 into 0 1547633580.196 * [misc]backup-simplify: Simplify 1 into 1 1547633580.197 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.197 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.197 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.197 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633580.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.199 * [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))) 1547633580.199 * [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)))) 1547633580.199 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of k in n 1547633580.200 * [misc]backup-simplify: Simplify k into k 1547633580.200 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.200 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.200 * [misc]backup-simplify: Simplify -2 into -2 1547633580.200 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.200 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.200 * [misc]backup-simplify: Simplify PI into PI 1547633580.200 * [misc]taylor: Taking taylor expansion of n in n 1547633580.200 * [misc]backup-simplify: Simplify 0 into 0 1547633580.200 * [misc]backup-simplify: Simplify 1 into 1 1547633580.200 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.201 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.201 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.201 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.201 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633580.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.203 * [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))) 1547633580.203 * [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)))) 1547633580.203 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547633580.203 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547633580.203 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633580.203 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.204 * [misc]taylor: Taking taylor expansion of k in k 1547633580.204 * [misc]backup-simplify: Simplify 0 into 0 1547633580.204 * [misc]backup-simplify: Simplify 1 into 1 1547633580.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.204 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547633580.204 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547633580.204 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547633580.204 * [misc]taylor: Taking taylor expansion of -2 in k 1547633580.204 * [misc]backup-simplify: Simplify -2 into -2 1547633580.204 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.204 * [misc]backup-simplify: Simplify PI into PI 1547633580.204 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.205 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.205 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.205 * [misc]taylor: Taking taylor expansion of n in k 1547633580.205 * [misc]backup-simplify: Simplify n into n 1547633580.205 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.205 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.206 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.206 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633580.206 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547633580.207 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547633580.207 * [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)))) 1547633580.208 * [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)))) 1547633580.209 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.210 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633580.213 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547633580.213 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.213 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633580.213 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.214 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.214 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547633580.216 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.216 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.216 * [misc]backup-simplify: Simplify 0 into 0 1547633580.216 * [misc]backup-simplify: Simplify 0 into 0 1547633580.216 * [misc]backup-simplify: Simplify 0 into 0 1547633580.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.219 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.224 * [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 1547633580.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633580.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.226 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547633580.229 * [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 1547633580.229 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.229 * [misc]backup-simplify: Simplify 0 into 0 1547633580.229 * [misc]backup-simplify: Simplify 0 into 0 1547633580.229 * [misc]backup-simplify: Simplify 0 into 0 1547633580.229 * [misc]backup-simplify: Simplify 0 into 0 1547633580.231 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.232 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.242 * [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 1547633580.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633580.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.243 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.244 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1547633580.246 * [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 1547633580.246 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.246 * [misc]backup-simplify: Simplify 0 into 0 1547633580.246 * [misc]backup-simplify: Simplify 0 into 0 1547633580.247 * [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))))) 1547633580.247 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1547633580.247 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1547633580.247 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1547633580.247 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.247 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.247 * [misc]backup-simplify: Simplify 2 into 2 1547633580.247 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.247 * [misc]taylor: Taking taylor expansion of n in n 1547633580.247 * [misc]backup-simplify: Simplify 0 into 0 1547633580.247 * [misc]backup-simplify: Simplify 1 into 1 1547633580.247 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.247 * [misc]backup-simplify: Simplify PI into PI 1547633580.247 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.247 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.247 * [misc]backup-simplify: Simplify 2 into 2 1547633580.247 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.247 * [misc]taylor: Taking taylor expansion of n in n 1547633580.247 * [misc]backup-simplify: Simplify 0 into 0 1547633580.247 * [misc]backup-simplify: Simplify 1 into 1 1547633580.247 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.247 * [misc]backup-simplify: Simplify PI into PI 1547633580.248 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633580.248 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633580.248 * [misc]backup-simplify: Simplify 0 into 0 1547633580.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633580.249 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633580.249 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.249 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633580.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633580.250 * [misc]backup-simplify: Simplify 0 into 0 1547633580.251 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.252 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547633580.252 * [misc]backup-simplify: Simplify 0 into 0 1547633580.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633580.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547633580.254 * [misc]backup-simplify: Simplify 0 into 0 1547633580.256 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633580.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1547633580.258 * [misc]backup-simplify: Simplify 0 into 0 1547633580.260 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633580.261 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1547633580.261 * [misc]backup-simplify: Simplify 0 into 0 1547633580.264 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1547633580.266 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1547633580.266 * [misc]backup-simplify: Simplify 0 into 0 1547633580.266 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1547633580.266 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1547633580.267 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1547633580.267 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.267 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.267 * [misc]backup-simplify: Simplify 2 into 2 1547633580.267 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.267 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.267 * [misc]backup-simplify: Simplify PI into PI 1547633580.267 * [misc]taylor: Taking taylor expansion of n in n 1547633580.267 * [misc]backup-simplify: Simplify 0 into 0 1547633580.267 * [misc]backup-simplify: Simplify 1 into 1 1547633580.267 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.267 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.267 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.267 * [misc]backup-simplify: Simplify 2 into 2 1547633580.267 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.267 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.267 * [misc]backup-simplify: Simplify PI into PI 1547633580.267 * [misc]taylor: Taking taylor expansion of n in n 1547633580.267 * [misc]backup-simplify: Simplify 0 into 0 1547633580.267 * [misc]backup-simplify: Simplify 1 into 1 1547633580.267 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.267 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.268 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633580.269 * [misc]backup-simplify: Simplify 0 into 0 1547633580.269 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.270 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.270 * [misc]backup-simplify: Simplify 0 into 0 1547633580.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.272 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.272 * [misc]backup-simplify: Simplify 0 into 0 1547633580.273 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633580.274 * [misc]backup-simplify: Simplify 0 into 0 1547633580.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.279 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633580.279 * [misc]backup-simplify: Simplify 0 into 0 1547633580.281 * [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 1547633580.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633580.285 * [misc]backup-simplify: Simplify 0 into 0 1547633580.285 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1547633580.285 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1547633580.285 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1547633580.285 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.285 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.285 * [misc]backup-simplify: Simplify -2 into -2 1547633580.285 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.285 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.285 * [misc]backup-simplify: Simplify PI into PI 1547633580.286 * [misc]taylor: Taking taylor expansion of n in n 1547633580.286 * [misc]backup-simplify: Simplify 0 into 0 1547633580.286 * [misc]backup-simplify: Simplify 1 into 1 1547633580.286 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.286 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.286 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.286 * [misc]backup-simplify: Simplify -2 into -2 1547633580.286 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.286 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.286 * [misc]backup-simplify: Simplify PI into PI 1547633580.286 * [misc]taylor: Taking taylor expansion of n in n 1547633580.286 * [misc]backup-simplify: Simplify 0 into 0 1547633580.286 * [misc]backup-simplify: Simplify 1 into 1 1547633580.286 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.287 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.287 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.288 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.289 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633580.289 * [misc]backup-simplify: Simplify 0 into 0 1547633580.290 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.291 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.291 * [misc]backup-simplify: Simplify 0 into 0 1547633580.293 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.294 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.294 * [misc]backup-simplify: Simplify 0 into 0 1547633580.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.298 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633580.298 * [misc]backup-simplify: Simplify 0 into 0 1547633580.301 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.303 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633580.303 * [misc]backup-simplify: Simplify 0 into 0 1547633580.306 * [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 1547633580.310 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633580.310 * [misc]backup-simplify: Simplify 0 into 0 1547633580.310 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1547633580.310 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1547633580.311 * [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)))) 1547633580.311 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1547633580.311 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547633580.311 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633580.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.311 * [misc]taylor: Taking taylor expansion of k in k 1547633580.311 * [misc]backup-simplify: Simplify 0 into 0 1547633580.311 * [misc]backup-simplify: Simplify 1 into 1 1547633580.311 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.311 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.312 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633580.312 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.312 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.312 * [misc]taylor: Taking taylor expansion of k in k 1547633580.312 * [misc]backup-simplify: Simplify 0 into 0 1547633580.312 * [misc]backup-simplify: Simplify 1 into 1 1547633580.312 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.312 * [misc]backup-simplify: Simplify 2 into 2 1547633580.312 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633580.312 * [misc]taylor: Taking taylor expansion of n in k 1547633580.312 * [misc]backup-simplify: Simplify n into n 1547633580.312 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.312 * [misc]backup-simplify: Simplify PI into PI 1547633580.312 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633580.312 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633580.312 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633580.313 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633580.313 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.313 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.313 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633580.313 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633580.313 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547633580.313 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633580.313 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.313 * [misc]taylor: Taking taylor expansion of k in n 1547633580.313 * [misc]backup-simplify: Simplify k into k 1547633580.313 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.313 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633580.313 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.314 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633580.314 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.314 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.314 * [misc]taylor: Taking taylor expansion of k in n 1547633580.314 * [misc]backup-simplify: Simplify k into k 1547633580.314 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.314 * [misc]backup-simplify: Simplify 2 into 2 1547633580.314 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.314 * [misc]taylor: Taking taylor expansion of n in n 1547633580.314 * [misc]backup-simplify: Simplify 0 into 0 1547633580.314 * [misc]backup-simplify: Simplify 1 into 1 1547633580.314 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.314 * [misc]backup-simplify: Simplify PI into PI 1547633580.314 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633580.315 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633580.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633580.316 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633580.316 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.316 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633580.316 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633580.317 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633580.317 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.318 * [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)))) 1547633580.318 * [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))))) 1547633580.318 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547633580.318 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633580.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.318 * [misc]taylor: Taking taylor expansion of k in n 1547633580.319 * [misc]backup-simplify: Simplify k into k 1547633580.319 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.319 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633580.319 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.319 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633580.319 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.319 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.319 * [misc]taylor: Taking taylor expansion of k in n 1547633580.319 * [misc]backup-simplify: Simplify k into k 1547633580.319 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.319 * [misc]backup-simplify: Simplify 2 into 2 1547633580.319 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633580.319 * [misc]taylor: Taking taylor expansion of n in n 1547633580.319 * [misc]backup-simplify: Simplify 0 into 0 1547633580.319 * [misc]backup-simplify: Simplify 1 into 1 1547633580.319 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.320 * [misc]backup-simplify: Simplify PI into PI 1547633580.320 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633580.320 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633580.321 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633580.321 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633580.322 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.322 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633580.322 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633580.322 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633580.322 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.323 * [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)))) 1547633580.324 * [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))))) 1547633580.324 * [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))) 1547633580.324 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1547633580.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547633580.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547633580.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633580.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.325 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633580.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.325 * [misc]taylor: Taking taylor expansion of k in k 1547633580.325 * [misc]backup-simplify: Simplify 0 into 0 1547633580.325 * [misc]backup-simplify: Simplify 1 into 1 1547633580.325 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547633580.325 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.325 * [misc]taylor: Taking taylor expansion of n in k 1547633580.325 * [misc]backup-simplify: Simplify n into n 1547633580.325 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.325 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633580.325 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633580.325 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.325 * [misc]backup-simplify: Simplify 2 into 2 1547633580.325 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.325 * [misc]backup-simplify: Simplify PI into PI 1547633580.325 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.326 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.326 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633580.326 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.326 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.327 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.327 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547633580.328 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547633580.328 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633580.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.328 * [misc]taylor: Taking taylor expansion of k in k 1547633580.328 * [misc]backup-simplify: Simplify 0 into 0 1547633580.328 * [misc]backup-simplify: Simplify 1 into 1 1547633580.328 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.328 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.329 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633580.329 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1547633580.329 * [misc]backup-simplify: Simplify 0 into 0 1547633580.330 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633580.331 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633580.334 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547633580.334 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.335 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.336 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547633580.337 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.338 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1547633580.338 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.338 * [misc]backup-simplify: Simplify 0 into 0 1547633580.339 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547633580.339 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633580.342 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.343 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633580.343 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.343 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.344 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547633580.345 * [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))))))) 1547633580.347 * [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))))))) 1547633580.348 * [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))))))) 1547633580.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.351 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547633580.356 * [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 1547633580.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547633580.357 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.357 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.358 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.359 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633580.361 * [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 1547633580.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.362 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1547633580.363 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1547633580.363 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.363 * [misc]backup-simplify: Simplify 0 into 0 1547633580.363 * [misc]backup-simplify: Simplify 0 into 0 1547633580.363 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633580.364 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633580.366 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547633580.367 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.372 * [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 1547633580.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633580.372 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.373 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633580.375 * [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))))) 1547633580.378 * [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)))))))) 1547633580.380 * [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)))))))) 1547633580.381 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633580.382 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547633580.387 * [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 1547633580.387 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1547633580.387 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633580.388 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1547633580.390 * [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 1547633580.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.391 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1547633580.391 * [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 1547633580.391 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.391 * [misc]backup-simplify: Simplify 0 into 0 1547633580.391 * [misc]backup-simplify: Simplify 0 into 0 1547633580.391 * [misc]backup-simplify: Simplify 0 into 0 1547633580.392 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.392 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633580.394 * [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 1547633580.395 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.399 * [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 1547633580.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.400 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633580.400 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1547633580.405 * [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))))))) 1547633580.414 * [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)))))))))))))) 1547633580.420 * [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)))))))))))))) 1547633580.432 * [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)))))))))))))))))))))) 1547633580.432 * [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))))) 1547633580.432 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1547633580.432 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633580.432 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633580.432 * [misc]taylor: Taking taylor expansion of k in k 1547633580.432 * [misc]backup-simplify: Simplify 0 into 0 1547633580.432 * [misc]backup-simplify: Simplify 1 into 1 1547633580.432 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.433 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633580.433 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.433 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.433 * [misc]taylor: Taking taylor expansion of k in k 1547633580.433 * [misc]backup-simplify: Simplify 0 into 0 1547633580.433 * [misc]backup-simplify: Simplify 1 into 1 1547633580.434 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633580.434 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633580.434 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.434 * [misc]backup-simplify: Simplify 2 into 2 1547633580.434 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633580.434 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.434 * [misc]backup-simplify: Simplify PI into PI 1547633580.434 * [misc]taylor: Taking taylor expansion of n in k 1547633580.434 * [misc]backup-simplify: Simplify n into n 1547633580.434 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633580.434 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633580.434 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633580.434 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.434 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.435 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.435 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633580.435 * [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)))) 1547633580.435 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of k in n 1547633580.435 * [misc]backup-simplify: Simplify k into k 1547633580.435 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633580.435 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633580.435 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.435 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.436 * [misc]taylor: Taking taylor expansion of k in n 1547633580.436 * [misc]backup-simplify: Simplify k into k 1547633580.436 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.436 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633580.436 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.436 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.436 * [misc]backup-simplify: Simplify 2 into 2 1547633580.436 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.436 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.436 * [misc]backup-simplify: Simplify PI into PI 1547633580.436 * [misc]taylor: Taking taylor expansion of n in n 1547633580.436 * [misc]backup-simplify: Simplify 0 into 0 1547633580.436 * [misc]backup-simplify: Simplify 1 into 1 1547633580.436 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.436 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.437 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.437 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633580.437 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633580.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.438 * [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))) 1547633580.439 * [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)))) 1547633580.439 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633580.439 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633580.439 * [misc]taylor: Taking taylor expansion of k in n 1547633580.439 * [misc]backup-simplify: Simplify k into k 1547633580.439 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633580.439 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633580.439 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633580.439 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.440 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.440 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of k in n 1547633580.440 * [misc]backup-simplify: Simplify k into k 1547633580.440 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.440 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of 2 in n 1547633580.440 * [misc]backup-simplify: Simplify 2 into 2 1547633580.440 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.440 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.440 * [misc]backup-simplify: Simplify PI into PI 1547633580.440 * [misc]taylor: Taking taylor expansion of n in n 1547633580.440 * [misc]backup-simplify: Simplify 0 into 0 1547633580.440 * [misc]backup-simplify: Simplify 1 into 1 1547633580.440 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.441 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.441 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.441 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633580.441 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633580.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.443 * [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))) 1547633580.443 * [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)))) 1547633580.444 * [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)) 1547633580.444 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.444 * [misc]taylor: Taking taylor expansion of k in k 1547633580.444 * [misc]backup-simplify: Simplify 0 into 0 1547633580.444 * [misc]backup-simplify: Simplify 1 into 1 1547633580.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.445 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547633580.445 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633580.445 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633580.445 * [misc]taylor: Taking taylor expansion of 2 in k 1547633580.445 * [misc]backup-simplify: Simplify 2 into 2 1547633580.445 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.445 * [misc]backup-simplify: Simplify PI into PI 1547633580.445 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633580.446 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633580.446 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.446 * [misc]taylor: Taking taylor expansion of n in k 1547633580.446 * [misc]backup-simplify: Simplify n into n 1547633580.446 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.446 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.446 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633580.446 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633580.446 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633580.447 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547633580.447 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547633580.448 * [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)))) 1547633580.448 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633580.448 * [misc]taylor: Taking taylor expansion of k in k 1547633580.448 * [misc]backup-simplify: Simplify 0 into 0 1547633580.448 * [misc]backup-simplify: Simplify 1 into 1 1547633580.448 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.449 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633580.449 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1547633580.449 * [misc]backup-simplify: Simplify 0 into 0 1547633580.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633580.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633580.454 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633580.454 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.455 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547633580.457 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.458 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1547633580.458 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.458 * [misc]backup-simplify: Simplify 0 into 0 1547633580.458 * [misc]backup-simplify: Simplify 0 into 0 1547633580.459 * [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)))))) 1547633580.460 * [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)))))) 1547633580.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.463 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.468 * [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 1547633580.468 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633580.469 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.470 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.471 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547633580.473 * [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 1547633580.474 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1547633580.475 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1547633580.475 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.475 * [misc]backup-simplify: Simplify 0 into 0 1547633580.475 * [misc]backup-simplify: Simplify 0 into 0 1547633580.475 * [misc]backup-simplify: Simplify 0 into 0 1547633580.476 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633580.477 * [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)))))) 1547633580.478 * [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)))))) 1547633580.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633580.489 * [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 1547633580.489 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633580.490 * [misc]backup-simplify: Simplify (- 0) into 0 1547633580.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.491 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633580.492 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547633580.496 * [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 1547633580.496 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1547633580.497 * [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 1547633580.497 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.497 * [misc]backup-simplify: Simplify 0 into 0 1547633580.497 * [misc]backup-simplify: Simplify 0 into 0 1547633580.497 * [misc]backup-simplify: Simplify 0 into 0 1547633580.497 * [misc]backup-simplify: Simplify 0 into 0 1547633580.499 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633580.500 * [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)))))) 1547633580.500 * [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)))))) 1547633580.503 * [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)))))))) 1547633580.503 * [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))) 1547633580.503 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1547633580.503 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547633580.503 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of k in k 1547633580.504 * [misc]backup-simplify: Simplify 0 into 0 1547633580.504 * [misc]backup-simplify: Simplify 1 into 1 1547633580.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.504 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of -2 in k 1547633580.504 * [misc]backup-simplify: Simplify -2 into -2 1547633580.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633580.504 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.504 * [misc]backup-simplify: Simplify PI into PI 1547633580.504 * [misc]taylor: Taking taylor expansion of n in k 1547633580.504 * [misc]backup-simplify: Simplify n into n 1547633580.504 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633580.505 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633580.505 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633580.505 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.505 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.505 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633580.505 * [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))) 1547633580.505 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633580.505 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633580.505 * [misc]taylor: Taking taylor expansion of -1 in k 1547633580.505 * [misc]backup-simplify: Simplify -1 into -1 1547633580.505 * [misc]taylor: Taking taylor expansion of k in k 1547633580.506 * [misc]backup-simplify: Simplify 0 into 0 1547633580.506 * [misc]backup-simplify: Simplify 1 into 1 1547633580.506 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633580.506 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.506 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633580.507 * [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)))) 1547633580.507 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of k in n 1547633580.507 * [misc]backup-simplify: Simplify k into k 1547633580.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.507 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.507 * [misc]backup-simplify: Simplify -2 into -2 1547633580.507 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.507 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.507 * [misc]backup-simplify: Simplify PI into PI 1547633580.507 * [misc]taylor: Taking taylor expansion of n in n 1547633580.507 * [misc]backup-simplify: Simplify 0 into 0 1547633580.507 * [misc]backup-simplify: Simplify 1 into 1 1547633580.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.508 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.508 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.508 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.508 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633580.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.509 * [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))) 1547633580.509 * [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)))) 1547633580.509 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633580.509 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633580.509 * [misc]taylor: Taking taylor expansion of -1 in n 1547633580.509 * [misc]backup-simplify: Simplify -1 into -1 1547633580.509 * [misc]taylor: Taking taylor expansion of k in n 1547633580.509 * [misc]backup-simplify: Simplify k into k 1547633580.509 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633580.510 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633580.510 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633580.510 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633580.510 * [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))) 1547633580.510 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of k in n 1547633580.510 * [misc]backup-simplify: Simplify k into k 1547633580.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633580.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633580.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.510 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of -2 in n 1547633580.510 * [misc]backup-simplify: Simplify -2 into -2 1547633580.510 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633580.510 * [misc]taylor: Taking taylor expansion of PI in n 1547633580.510 * [misc]backup-simplify: Simplify PI into PI 1547633580.510 * [misc]taylor: Taking taylor expansion of n in n 1547633580.510 * [misc]backup-simplify: Simplify 0 into 0 1547633580.511 * [misc]backup-simplify: Simplify 1 into 1 1547633580.511 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633580.511 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.511 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.511 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633580.511 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633580.512 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.512 * [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))) 1547633580.513 * [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)))) 1547633580.513 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633580.513 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633580.513 * [misc]taylor: Taking taylor expansion of -1 in n 1547633580.513 * [misc]backup-simplify: Simplify -1 into -1 1547633580.513 * [misc]taylor: Taking taylor expansion of k in n 1547633580.513 * [misc]backup-simplify: Simplify k into k 1547633580.513 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633580.513 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633580.513 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633580.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633580.513 * [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))) 1547633580.514 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of k in k 1547633580.514 * [misc]backup-simplify: Simplify 0 into 0 1547633580.514 * [misc]backup-simplify: Simplify 1 into 1 1547633580.514 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633580.514 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633580.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633580.514 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547633580.514 * [misc]taylor: Taking taylor expansion of -2 in k 1547633580.514 * [misc]backup-simplify: Simplify -2 into -2 1547633580.514 * [misc]taylor: Taking taylor expansion of PI in k 1547633580.514 * [misc]backup-simplify: Simplify PI into PI 1547633580.514 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633580.515 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633580.515 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633580.515 * [misc]taylor: Taking taylor expansion of n in k 1547633580.515 * [misc]backup-simplify: Simplify n into n 1547633580.515 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633580.515 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633580.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633580.516 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633580.516 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547633580.516 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547633580.517 * [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)))) 1547633580.517 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633580.517 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633580.517 * [misc]taylor: Taking taylor expansion of -1 in k 1547633580.517 * [misc]backup-simplify: Simplify -1 into -1 1547633580.517 * [misc]taylor: Taking taylor expansion of k in k 1547633580.517 * [misc]backup-simplify: Simplify 0 into 0 1547633580.517 * [misc]backup-simplify: Simplify 1 into 1 1547633580.517 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633580.517 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633580.517 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633580.518 * [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))))) 1547633580.518 * [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))))) 1547633580.519 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633580.519 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633580.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547633580.521 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633580.521 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633580.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.522 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.522 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547633580.523 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633580.524 * [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 1547633580.524 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.524 * [misc]backup-simplify: Simplify 0 into 0 1547633580.524 * [misc]backup-simplify: Simplify 0 into 0 1547633580.524 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633580.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633580.525 * [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)))))) 1547633580.526 * [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)))))) 1547633580.527 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.527 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633580.530 * [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 1547633580.530 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633580.530 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633580.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633580.531 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547633580.533 * [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 1547633580.533 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633580.533 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1547633580.534 * [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 1547633580.534 * [misc]taylor: Taking taylor expansion of 0 in k 1547633580.534 * [misc]backup-simplify: Simplify 0 into 0 1547633580.534 * [misc]backup-simplify: Simplify 0 into 0 1547633580.534 * [misc]backup-simplify: Simplify 0 into 0 1547633580.534 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633580.535 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633580.536 * [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)))))) 1547633580.537 * [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)))))) 1547633580.538 * [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))))))))))) 1547633580.538 * * * [misc]progress: simplifying candidates 1547633580.538 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1547633580.538 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1547633580.538 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1547633580.538 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1547633580.539 * * [misc]simplify: iters left: 6 (11 enodes) 1547633580.540 * * [misc]simplify: iters left: 5 (21 enodes) 1547633580.544 * * [misc]simplify: iters left: 4 (47 enodes) 1547633580.555 * * [misc]simplify: iters left: 3 (113 enodes) 1547633580.611 * * [misc]simplify: iters left: 2 (328 enodes) 1547633580.875 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1547633580.875 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1547633580.875 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1547633580.875 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1547633580.875 * [enter]simplify: Simplifying (* PI (* n 2)) 1547633580.875 * * [misc]simplify: iters left: 4 (5 enodes) 1547633580.877 * * [misc]simplify: iters left: 3 (9 enodes) 1547633580.880 * * [misc]simplify: iters left: 2 (15 enodes) 1547633580.883 * * [misc]simplify: iters left: 1 (17 enodes) 1547633580.890 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547633580.890 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1547633580.890 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1547633580.890 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547633580.890 * * [misc]simplify: iters left: 5 (8 enodes) 1547633580.893 * * [misc]simplify: iters left: 4 (12 enodes) 1547633580.896 * * [misc]simplify: iters left: 3 (18 enodes) 1547633580.900 * * [misc]simplify: iters left: 2 (20 enodes) 1547633580.904 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547633580.905 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1547633580.905 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1547633580.905 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633580.905 * * [misc]simplify: iters left: 5 (6 enodes) 1547633580.906 * * [misc]simplify: iters left: 4 (8 enodes) 1547633580.908 * * [misc]simplify: iters left: 3 (11 enodes) 1547633580.911 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633580.911 * [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))) 1547633580.911 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1547633580.911 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633580.912 * * [misc]simplify: iters left: 5 (6 enodes) 1547633580.913 * * [misc]simplify: iters left: 4 (8 enodes) 1547633580.915 * * [misc]simplify: iters left: 3 (11 enodes) 1547633580.918 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633580.918 * [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))) 1547633580.918 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1547633580.918 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633580.918 * * [misc]simplify: iters left: 4 (5 enodes) 1547633580.920 * * [misc]simplify: iters left: 3 (7 enodes) 1547633580.922 * * [misc]simplify: iters left: 2 (10 enodes) 1547633580.924 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633580.924 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1547633580.924 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1547633580.924 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633580.925 * * [misc]simplify: iters left: 5 (9 enodes) 1547633580.927 * * [misc]simplify: iters left: 4 (15 enodes) 1547633580.931 * * [misc]simplify: iters left: 3 (21 enodes) 1547633580.936 * * [misc]simplify: iters left: 2 (22 enodes) 1547633580.941 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633580.941 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1547633580.941 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1547633580.941 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633580.941 * * [misc]simplify: iters left: 5 (9 enodes) 1547633580.944 * * [misc]simplify: iters left: 4 (15 enodes) 1547633580.947 * * [misc]simplify: iters left: 3 (21 enodes) 1547633580.952 * * [misc]simplify: iters left: 2 (22 enodes) 1547633580.957 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633580.957 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1547633580.957 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1547633580.957 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547633580.957 * * [misc]simplify: iters left: 5 (7 enodes) 1547633580.959 * * [misc]simplify: iters left: 4 (9 enodes) 1547633580.962 * * [misc]simplify: iters left: 3 (12 enodes) 1547633580.966 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633580.966 * [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))) 1547633580.966 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1547633580.966 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1547633580.967 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1547633580.967 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547633580.968 * * [misc]simplify: iters left: 6 (14 enodes) 1547633580.973 * * [misc]simplify: iters left: 5 (27 enodes) 1547633580.982 * * [misc]simplify: iters left: 4 (55 enodes) 1547633580.998 * * [misc]simplify: iters left: 3 (144 enodes) 1547633581.051 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1547633581.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1547633581.052 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1547633581.052 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1547633581.052 * * [misc]simplify: iters left: 6 (14 enodes) 1547633581.057 * * [misc]simplify: iters left: 5 (27 enodes) 1547633581.065 * * [misc]simplify: iters left: 4 (55 enodes) 1547633581.084 * * [misc]simplify: iters left: 3 (144 enodes) 1547633581.149 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1547633581.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1547633581.149 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1547633581.149 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547633581.149 * * [misc]simplify: iters left: 6 (14 enodes) 1547633581.152 * * [misc]simplify: iters left: 5 (24 enodes) 1547633581.156 * * [misc]simplify: iters left: 4 (43 enodes) 1547633581.163 * * [misc]simplify: iters left: 3 (73 enodes) 1547633581.200 * * [misc]simplify: iters left: 2 (220 enodes) 1547633581.411 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1547633581.411 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1547633581.411 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1547633581.411 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1547633581.411 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1547633581.411 * [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))) 1547633581.411 * * [misc]simplify: iters left: 6 (16 enodes) 1547633581.417 * * [misc]simplify: iters left: 5 (31 enodes) 1547633581.427 * * [misc]simplify: iters left: 4 (67 enodes) 1547633581.449 * * [misc]simplify: iters left: 3 (124 enodes) 1547633581.491 * * [misc]simplify: iters left: 2 (195 enodes) 1547633581.541 * * [misc]simplify: iters left: 1 (309 enodes) 1547633581.688 * [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)))) 1547633581.688 * [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)))))) 1547633581.688 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1547633581.688 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1547633581.688 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1547633581.688 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1547633581.688 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1547633581.688 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.688 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.692 * * [misc]simplify: iters left: 5 (19 enodes) 1547633581.698 * * [misc]simplify: iters left: 4 (25 enodes) 1547633581.704 * * [misc]simplify: iters left: 3 (26 enodes) 1547633581.711 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.711 * [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))))) 1547633581.711 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1547633581.711 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.715 * * [misc]simplify: iters left: 5 (18 enodes) 1547633581.720 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.727 * * [misc]simplify: iters left: 3 (25 enodes) 1547633581.734 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1547633581.734 * [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))))) 1547633581.734 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1547633581.734 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1547633581.734 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.737 * * [misc]simplify: iters left: 5 (16 enodes) 1547633581.742 * * [misc]simplify: iters left: 4 (22 enodes) 1547633581.748 * * [misc]simplify: iters left: 3 (24 enodes) 1547633581.755 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1547633581.755 * [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))))) 1547633581.755 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1547633581.755 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.759 * * [misc]simplify: iters left: 5 (18 enodes) 1547633581.765 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.772 * * [misc]simplify: iters left: 3 (25 enodes) 1547633581.779 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1547633581.779 * [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))))) 1547633581.779 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1547633581.779 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1547633581.779 * * [misc]simplify: iters left: 6 (9 enodes) 1547633581.782 * * [misc]simplify: iters left: 5 (16 enodes) 1547633581.789 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.793 * * [misc]simplify: iters left: 3 (26 enodes) 1547633581.796 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1547633581.796 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1547633581.796 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1547633581.796 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.798 * * [misc]simplify: iters left: 5 (17 enodes) 1547633581.801 * * [misc]simplify: iters left: 4 (23 enodes) 1547633581.804 * * [misc]simplify: iters left: 3 (24 enodes) 1547633581.807 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1547633581.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1547633581.807 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1547633581.807 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.807 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.809 * * [misc]simplify: iters left: 5 (19 enodes) 1547633581.812 * * [misc]simplify: iters left: 4 (25 enodes) 1547633581.816 * * [misc]simplify: iters left: 3 (26 enodes) 1547633581.819 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.819 * [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))))) 1547633581.819 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1547633581.820 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.823 * * [misc]simplify: iters left: 5 (18 enodes) 1547633581.829 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.836 * * [misc]simplify: iters left: 3 (25 enodes) 1547633581.843 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1547633581.843 * [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))))) 1547633581.843 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1547633581.843 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1547633581.843 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.847 * * [misc]simplify: iters left: 5 (16 enodes) 1547633581.852 * * [misc]simplify: iters left: 4 (22 enodes) 1547633581.858 * * [misc]simplify: iters left: 3 (24 enodes) 1547633581.862 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1547633581.862 * [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))))) 1547633581.862 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1547633581.862 * * [misc]simplify: iters left: 6 (12 enodes) 1547633581.864 * * [misc]simplify: iters left: 5 (18 enodes) 1547633581.867 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.870 * * [misc]simplify: iters left: 3 (25 enodes) 1547633581.873 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1547633581.874 * [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))))) 1547633581.874 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1547633581.874 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1547633581.874 * * [misc]simplify: iters left: 6 (9 enodes) 1547633581.875 * * [misc]simplify: iters left: 5 (16 enodes) 1547633581.878 * * [misc]simplify: iters left: 4 (24 enodes) 1547633581.881 * * [misc]simplify: iters left: 3 (26 enodes) 1547633581.884 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1547633581.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1547633581.884 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1547633581.884 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.886 * * [misc]simplify: iters left: 5 (17 enodes) 1547633581.890 * * [misc]simplify: iters left: 4 (23 enodes) 1547633581.895 * * [misc]simplify: iters left: 3 (24 enodes) 1547633581.901 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1547633581.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1547633581.901 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1547633581.901 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.902 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.905 * * [misc]simplify: iters left: 5 (15 enodes) 1547633581.910 * * [misc]simplify: iters left: 4 (18 enodes) 1547633581.915 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633581.915 * [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))))) 1547633581.915 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633581.916 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.919 * * [misc]simplify: iters left: 5 (14 enodes) 1547633581.921 * * [misc]simplify: iters left: 4 (17 enodes) 1547633581.924 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633581.924 * [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))))) 1547633581.924 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1547633581.924 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633581.924 * * [misc]simplify: iters left: 6 (10 enodes) 1547633581.926 * * [misc]simplify: iters left: 5 (12 enodes) 1547633581.928 * * [misc]simplify: iters left: 4 (15 enodes) 1547633581.930 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633581.930 * [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))))) 1547633581.930 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633581.930 * * [misc]simplify: iters left: 6 (11 enodes) 1547633581.932 * * [misc]simplify: iters left: 5 (14 enodes) 1547633581.934 * * [misc]simplify: iters left: 4 (17 enodes) 1547633581.937 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633581.937 * [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))))) 1547633581.937 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1547633581.937 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1547633581.937 * * [misc]simplify: iters left: 6 (9 enodes) 1547633581.938 * * [misc]simplify: iters left: 5 (13 enodes) 1547633581.941 * * [misc]simplify: iters left: 4 (18 enodes) 1547633581.943 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633581.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547633581.943 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547633581.943 * * [misc]simplify: iters left: 6 (10 enodes) 1547633581.945 * * [misc]simplify: iters left: 5 (13 enodes) 1547633581.947 * * [misc]simplify: iters left: 4 (16 enodes) 1547633581.952 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547633581.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547633581.952 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1547633581.952 * [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)))) 1547633581.952 * * [misc]simplify: iters left: 6 (16 enodes) 1547633581.958 * * [misc]simplify: iters left: 5 (28 enodes) 1547633581.966 * * [misc]simplify: iters left: 4 (46 enodes) 1547633581.980 * * [misc]simplify: iters left: 3 (50 enodes) 1547633581.988 * * [misc]simplify: iters left: 2 (53 enodes) 1547633581.995 * [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)))) 1547633581.995 * [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))))) 1547633581.995 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547633581.995 * * [misc]simplify: iters left: 6 (14 enodes) 1547633581.998 * * [misc]simplify: iters left: 5 (20 enodes) 1547633582.002 * * [misc]simplify: iters left: 4 (29 enodes) 1547633582.006 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.010 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547633582.010 * [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))))) 1547633582.010 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1547633582.010 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633582.010 * * [misc]simplify: iters left: 6 (15 enodes) 1547633582.013 * * [misc]simplify: iters left: 5 (23 enodes) 1547633582.016 * * [misc]simplify: iters left: 4 (34 enodes) 1547633582.021 * * [misc]simplify: iters left: 3 (37 enodes) 1547633582.026 * [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)))))) 1547633582.026 * [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))))) 1547633582.026 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.026 * * [misc]simplify: iters left: 6 (14 enodes) 1547633582.030 * * [misc]simplify: iters left: 5 (20 enodes) 1547633582.036 * * [misc]simplify: iters left: 4 (29 enodes) 1547633582.044 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.052 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.052 * [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))))) 1547633582.052 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1547633582.052 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1547633582.052 * * [misc]simplify: iters left: 6 (14 enodes) 1547633582.057 * * [misc]simplify: iters left: 5 (24 enodes) 1547633582.065 * * [misc]simplify: iters left: 4 (39 enodes) 1547633582.075 * * [misc]simplify: iters left: 3 (54 enodes) 1547633582.084 * * [misc]simplify: iters left: 2 (80 enodes) 1547633582.095 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1547633582.095 * [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)))) 1547633582.095 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1547633582.095 * * [misc]simplify: iters left: 6 (13 enodes) 1547633582.097 * * [misc]simplify: iters left: 5 (19 enodes) 1547633582.101 * * [misc]simplify: iters left: 4 (28 enodes) 1547633582.105 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.110 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1547633582.110 * [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)))) 1547633582.110 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1547633582.110 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633582.110 * * [misc]simplify: iters left: 6 (15 enodes) 1547633582.112 * * [misc]simplify: iters left: 5 (23 enodes) 1547633582.116 * * [misc]simplify: iters left: 4 (32 enodes) 1547633582.121 * * [misc]simplify: iters left: 3 (34 enodes) 1547633582.127 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633582.127 * [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))))) 1547633582.127 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547633582.127 * * [misc]simplify: iters left: 6 (14 enodes) 1547633582.130 * * [misc]simplify: iters left: 5 (20 enodes) 1547633582.133 * * [misc]simplify: iters left: 4 (29 enodes) 1547633582.137 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.141 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1547633582.141 * [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))))) 1547633582.141 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1547633582.141 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.142 * * [misc]simplify: iters left: 6 (14 enodes) 1547633582.144 * * [misc]simplify: iters left: 5 (20 enodes) 1547633582.147 * * [misc]simplify: iters left: 4 (29 enodes) 1547633582.152 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.159 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.159 * [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))))) 1547633582.160 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.160 * * [misc]simplify: iters left: 6 (14 enodes) 1547633582.164 * * [misc]simplify: iters left: 5 (20 enodes) 1547633582.170 * * [misc]simplify: iters left: 4 (29 enodes) 1547633582.177 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.180 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633582.181 * [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))))) 1547633582.181 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1547633582.181 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1547633582.181 * * [misc]simplify: iters left: 6 (13 enodes) 1547633582.183 * * [misc]simplify: iters left: 5 (21 enodes) 1547633582.187 * * [misc]simplify: iters left: 4 (32 enodes) 1547633582.191 * * [misc]simplify: iters left: 3 (33 enodes) 1547633582.194 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1547633582.194 * [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)))) 1547633582.195 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1547633582.195 * * [misc]simplify: iters left: 6 (13 enodes) 1547633582.198 * * [misc]simplify: iters left: 5 (19 enodes) 1547633582.201 * * [misc]simplify: iters left: 4 (28 enodes) 1547633582.204 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.208 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1547633582.208 * [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)))) 1547633582.208 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1547633582.209 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633582.209 * * [misc]simplify: iters left: 6 (6 enodes) 1547633582.210 * * [misc]simplify: iters left: 5 (10 enodes) 1547633582.211 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1547633582.211 * [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))))) 1547633582.211 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633582.211 * * [misc]simplify: iters left: 6 (13 enodes) 1547633582.213 * * [misc]simplify: iters left: 5 (19 enodes) 1547633582.216 * * [misc]simplify: iters left: 4 (28 enodes) 1547633582.220 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.224 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633582.224 * [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))))) 1547633582.224 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1547633582.224 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1547633582.224 * * [misc]simplify: iters left: 4 (5 enodes) 1547633582.225 * * [misc]simplify: iters left: 3 (7 enodes) 1547633582.226 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547633582.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1547633582.226 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633582.226 * * [misc]simplify: iters left: 6 (13 enodes) 1547633582.228 * * [misc]simplify: iters left: 5 (19 enodes) 1547633582.231 * * [misc]simplify: iters left: 4 (28 enodes) 1547633582.235 * * [misc]simplify: iters left: 3 (30 enodes) 1547633582.239 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633582.239 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1547633582.239 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1547633582.239 * [enter]simplify: Simplifying (/ 1 1) 1547633582.239 * * [misc]simplify: iters left: 2 (2 enodes) 1547633582.240 * * [misc]simplify: iters left: 1 (4 enodes) 1547633582.240 * [exit]simplify: Simplified to 1 1547633582.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1547633582.240 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1547633582.240 * * [misc]simplify: iters left: 6 (12 enodes) 1547633582.242 * * [misc]simplify: iters left: 5 (18 enodes) 1547633582.245 * * [misc]simplify: iters left: 4 (27 enodes) 1547633582.251 * * [misc]simplify: iters left: 3 (29 enodes) 1547633582.258 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1547633582.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1547633582.259 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1547633582.259 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1547633582.259 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1547633582.259 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1547633582.259 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1547633582.259 * * [misc]simplify: iters left: 2 (3 enodes) 1547633582.260 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1547633582.260 * [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)))) 1547633582.260 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1547633582.260 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547633582.261 * * [misc]simplify: iters left: 2 (3 enodes) 1547633582.261 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633582.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1547633582.261 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1547633582.262 * [enter]simplify: Simplifying (sqrt k) 1547633582.262 * * [misc]simplify: iters left: 1 (2 enodes) 1547633582.262 * [exit]simplify: Simplified to (sqrt k) 1547633582.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1547633582.262 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1547633582.263 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547633582.263 * * [misc]simplify: iters left: 5 (7 enodes) 1547633582.264 * * [misc]simplify: iters left: 4 (12 enodes) 1547633582.266 * * [misc]simplify: iters left: 3 (18 enodes) 1547633582.268 * * [misc]simplify: iters left: 2 (20 enodes) 1547633582.271 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547633582.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1547633582.271 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1547633582.271 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547633582.271 * * [misc]simplify: iters left: 5 (7 enodes) 1547633582.272 * * [misc]simplify: iters left: 4 (12 enodes) 1547633582.274 * * [misc]simplify: iters left: 3 (18 enodes) 1547633582.277 * * [misc]simplify: iters left: 2 (20 enodes) 1547633582.279 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547633582.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1547633582.279 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1547633582.279 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547633582.279 * * [misc]simplify: iters left: 5 (7 enodes) 1547633582.280 * * [misc]simplify: iters left: 4 (9 enodes) 1547633582.283 * * [misc]simplify: iters left: 3 (12 enodes) 1547633582.284 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633582.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633582.284 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1547633582.285 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633582.285 * * [misc]simplify: iters left: 6 (12 enodes) 1547633582.287 * * [misc]simplify: iters left: 5 (18 enodes) 1547633582.290 * * [misc]simplify: iters left: 4 (27 enodes) 1547633582.293 * * [misc]simplify: iters left: 3 (29 enodes) 1547633582.299 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1547633582.299 * [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))))))) 1547633582.299 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1547633582.299 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633582.299 * * [misc]simplify: iters left: 6 (11 enodes) 1547633582.303 * * [misc]simplify: iters left: 5 (17 enodes) 1547633582.308 * * [misc]simplify: iters left: 4 (26 enodes) 1547633582.313 * * [misc]simplify: iters left: 3 (27 enodes) 1547633582.317 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547633582.317 * [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))))))) 1547633582.317 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1547633582.317 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1547633582.317 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1547633582.317 * * [misc]simplify: iters left: 5 (7 enodes) 1547633582.318 * * [misc]simplify: iters left: 4 (12 enodes) 1547633582.320 * * [misc]simplify: iters left: 3 (18 enodes) 1547633582.322 * * [misc]simplify: iters left: 2 (20 enodes) 1547633582.324 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1547633582.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1547633582.324 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1547633582.325 * [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))))) 1547633582.325 * * [misc]simplify: iters left: 6 (37 enodes) 1547633582.333 * * [misc]simplify: iters left: 5 (108 enodes) 1547633582.357 * * [misc]simplify: iters left: 4 (368 enodes) 1547633582.662 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1547633582.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1547633582.662 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1547633582.662 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1547633582.662 * * [misc]simplify: iters left: 6 (15 enodes) 1547633582.667 * * [misc]simplify: iters left: 5 (33 enodes) 1547633582.678 * * [misc]simplify: iters left: 4 (64 enodes) 1547633582.704 * * [misc]simplify: iters left: 3 (179 enodes) 1547633582.806 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1547633582.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1547633582.806 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1547633582.807 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1547633582.807 * * [misc]simplify: iters left: 6 (15 enodes) 1547633582.813 * * [misc]simplify: iters left: 5 (30 enodes) 1547633582.824 * * [misc]simplify: iters left: 4 (65 enodes) 1547633582.842 * * [misc]simplify: iters left: 3 (208 enodes) 1547633582.957 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1547633582.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1547633582.957 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1547633582.957 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633582.958 * * [misc]simplify: iters left: 4 (5 enodes) 1547633582.959 * * [misc]simplify: iters left: 3 (9 enodes) 1547633582.961 * * [misc]simplify: iters left: 2 (15 enodes) 1547633582.963 * * [misc]simplify: iters left: 1 (17 enodes) 1547633582.966 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633582.966 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547633582.966 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1547633582.967 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633582.967 * * [misc]simplify: iters left: 4 (5 enodes) 1547633582.968 * * [misc]simplify: iters left: 3 (9 enodes) 1547633582.971 * * [misc]simplify: iters left: 2 (15 enodes) 1547633582.975 * * [misc]simplify: iters left: 1 (17 enodes) 1547633582.979 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633582.979 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547633582.980 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1547633582.980 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633582.980 * * [misc]simplify: iters left: 4 (5 enodes) 1547633582.982 * * [misc]simplify: iters left: 3 (9 enodes) 1547633582.984 * * [misc]simplify: iters left: 2 (15 enodes) 1547633582.988 * * [misc]simplify: iters left: 1 (17 enodes) 1547633582.992 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633582.992 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1547633582.992 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1547633582.992 * [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)))))))))))))))))))))) 1547633582.992 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633582.992 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1547633582.992 * [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)))))))) 1547633582.993 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633582.993 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1547633582.993 * [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))))))))))) 1547633582.993 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633582.993 * * * [misc]progress: adding candidates to table 1547633583.923 * * [misc]progress: iteration 2 / 4 1547633583.923 * * * [misc]progress: picking best candidate 1547633583.951 * * * * [misc]pick: Picked # 1547633583.951 * * * [misc]progress: localizing error 1547633583.957 * * * [misc]progress: generating rewritten candidates 1547633583.957 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1547633583.959 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1547633583.960 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1547633583.965 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1547633583.972 * * * [misc]progress: generating series expansions 1547633583.972 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1547633583.972 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1547633583.972 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1547633583.972 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633583.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.972 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633583.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.972 * [misc]taylor: Taking taylor expansion of k in k 1547633583.972 * [misc]backup-simplify: Simplify 0 into 0 1547633583.972 * [misc]backup-simplify: Simplify 1 into 1 1547633583.972 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of 2 in k 1547633583.972 * [misc]backup-simplify: Simplify 2 into 2 1547633583.972 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633583.972 * [misc]taylor: Taking taylor expansion of n in k 1547633583.973 * [misc]backup-simplify: Simplify n into n 1547633583.973 * [misc]taylor: Taking taylor expansion of PI in k 1547633583.973 * [misc]backup-simplify: Simplify PI into PI 1547633583.973 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633583.973 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633583.973 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633583.973 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633583.973 * [misc]backup-simplify: Simplify (- 0) into 0 1547633583.973 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633583.974 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633583.974 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633583.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633583.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.974 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633583.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.974 * [misc]taylor: Taking taylor expansion of k in n 1547633583.974 * [misc]backup-simplify: Simplify k into k 1547633583.974 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of 2 in n 1547633583.974 * [misc]backup-simplify: Simplify 2 into 2 1547633583.974 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633583.974 * [misc]taylor: Taking taylor expansion of n in n 1547633583.974 * [misc]backup-simplify: Simplify 0 into 0 1547633583.974 * [misc]backup-simplify: Simplify 1 into 1 1547633583.974 * [misc]taylor: Taking taylor expansion of PI in n 1547633583.974 * [misc]backup-simplify: Simplify PI into PI 1547633583.975 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633583.975 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633583.976 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633583.976 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633583.977 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633583.977 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633583.977 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633583.977 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633583.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633583.979 * [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)))) 1547633583.979 * [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))))) 1547633583.979 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633583.979 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633583.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633583.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633583.979 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633583.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.979 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633583.979 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633583.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.980 * [misc]taylor: Taking taylor expansion of k in n 1547633583.980 * [misc]backup-simplify: Simplify k into k 1547633583.980 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633583.980 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633583.980 * [misc]taylor: Taking taylor expansion of 2 in n 1547633583.980 * [misc]backup-simplify: Simplify 2 into 2 1547633583.980 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633583.980 * [misc]taylor: Taking taylor expansion of n in n 1547633583.980 * [misc]backup-simplify: Simplify 0 into 0 1547633583.980 * [misc]backup-simplify: Simplify 1 into 1 1547633583.980 * [misc]taylor: Taking taylor expansion of PI in n 1547633583.980 * [misc]backup-simplify: Simplify PI into PI 1547633583.980 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633583.980 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633583.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633583.982 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633583.982 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633583.982 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633583.982 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633583.982 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633583.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633583.983 * [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)))) 1547633583.984 * [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))))) 1547633583.984 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1547633583.984 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1547633583.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633583.984 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633583.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.984 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633583.984 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633583.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633583.984 * [misc]taylor: Taking taylor expansion of k in k 1547633583.985 * [misc]backup-simplify: Simplify 0 into 0 1547633583.985 * [misc]backup-simplify: Simplify 1 into 1 1547633583.985 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1547633583.985 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633583.985 * [misc]taylor: Taking taylor expansion of n in k 1547633583.985 * [misc]backup-simplify: Simplify n into n 1547633583.985 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633583.985 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633583.985 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633583.985 * [misc]taylor: Taking taylor expansion of 2 in k 1547633583.985 * [misc]backup-simplify: Simplify 2 into 2 1547633583.985 * [misc]taylor: Taking taylor expansion of PI in k 1547633583.985 * [misc]backup-simplify: Simplify PI into PI 1547633583.985 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633583.986 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633583.986 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633583.986 * [misc]backup-simplify: Simplify (- 0) into 0 1547633583.986 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633583.987 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633583.987 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1547633583.988 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547633583.988 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1547633583.989 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633583.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633583.993 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633583.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547633583.993 * [misc]backup-simplify: Simplify (- 0) into 0 1547633583.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633583.994 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633583.995 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547633583.996 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633583.996 * [misc]taylor: Taking taylor expansion of 0 in k 1547633583.996 * [misc]backup-simplify: Simplify 0 into 0 1547633583.997 * [misc]backup-simplify: Simplify 0 into 0 1547633583.997 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547633583.998 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633584.001 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.001 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633584.001 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.001 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1547633584.004 * [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))))))) 1547633584.005 * [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))))))) 1547633584.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.008 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547633584.013 * [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 1547633584.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547633584.014 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.014 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.015 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.016 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633584.018 * [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 1547633584.018 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.018 * [misc]backup-simplify: Simplify 0 into 0 1547633584.018 * [misc]backup-simplify: Simplify 0 into 0 1547633584.018 * [misc]backup-simplify: Simplify 0 into 0 1547633584.020 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547633584.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.026 * [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 1547633584.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.027 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633584.027 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.028 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1547633584.030 * [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))))) 1547633584.032 * [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))))) 1547633584.037 * [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))))) 1547633584.038 * [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)))) 1547633584.038 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547633584.038 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of k in k 1547633584.038 * [misc]backup-simplify: Simplify 0 into 0 1547633584.038 * [misc]backup-simplify: Simplify 1 into 1 1547633584.038 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.038 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633584.038 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.039 * [misc]backup-simplify: Simplify 2 into 2 1547633584.039 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.039 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.039 * [misc]backup-simplify: Simplify PI into PI 1547633584.039 * [misc]taylor: Taking taylor expansion of n in k 1547633584.039 * [misc]backup-simplify: Simplify n into n 1547633584.039 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.039 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633584.039 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633584.039 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.040 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.040 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.040 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633584.040 * [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)))) 1547633584.040 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.040 * [misc]taylor: Taking taylor expansion of k in n 1547633584.040 * [misc]backup-simplify: Simplify k into k 1547633584.040 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.041 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.041 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.041 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.041 * [misc]backup-simplify: Simplify 2 into 2 1547633584.041 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.041 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.041 * [misc]backup-simplify: Simplify PI into PI 1547633584.041 * [misc]taylor: Taking taylor expansion of n in n 1547633584.041 * [misc]backup-simplify: Simplify 0 into 0 1547633584.041 * [misc]backup-simplify: Simplify 1 into 1 1547633584.041 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.041 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.042 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.042 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.042 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.042 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.044 * [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))) 1547633584.044 * [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)))) 1547633584.044 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.044 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.044 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.045 * [misc]taylor: Taking taylor expansion of k in n 1547633584.045 * [misc]backup-simplify: Simplify k into k 1547633584.045 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.045 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.045 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.045 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.045 * [misc]backup-simplify: Simplify 2 into 2 1547633584.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.045 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.045 * [misc]backup-simplify: Simplify PI into PI 1547633584.045 * [misc]taylor: Taking taylor expansion of n in n 1547633584.045 * [misc]backup-simplify: Simplify 0 into 0 1547633584.045 * [misc]backup-simplify: Simplify 1 into 1 1547633584.045 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.045 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.046 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.046 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.046 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.046 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.047 * [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))) 1547633584.048 * [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)))) 1547633584.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1547633584.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1547633584.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.048 * [misc]taylor: Taking taylor expansion of k in k 1547633584.049 * [misc]backup-simplify: Simplify 0 into 0 1547633584.049 * [misc]backup-simplify: Simplify 1 into 1 1547633584.049 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.049 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1547633584.049 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1547633584.049 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1547633584.049 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.049 * [misc]backup-simplify: Simplify 2 into 2 1547633584.049 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.049 * [misc]backup-simplify: Simplify PI into PI 1547633584.049 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.050 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.050 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633584.050 * [misc]taylor: Taking taylor expansion of n in k 1547633584.050 * [misc]backup-simplify: Simplify n into n 1547633584.050 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633584.050 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.050 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.050 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.050 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633584.051 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1547633584.052 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1547633584.052 * [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)))) 1547633584.053 * [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)))) 1547633584.054 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.055 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633584.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.058 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.058 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.058 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.059 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547633584.061 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.061 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.061 * [misc]backup-simplify: Simplify 0 into 0 1547633584.061 * [misc]backup-simplify: Simplify 0 into 0 1547633584.061 * [misc]backup-simplify: Simplify 0 into 0 1547633584.063 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.064 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.069 * [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 1547633584.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633584.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633584.069 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.071 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1547633584.073 * [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 1547633584.073 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.073 * [misc]backup-simplify: Simplify 0 into 0 1547633584.073 * [misc]backup-simplify: Simplify 0 into 0 1547633584.073 * [misc]backup-simplify: Simplify 0 into 0 1547633584.073 * [misc]backup-simplify: Simplify 0 into 0 1547633584.075 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.076 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.088 * [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 1547633584.088 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633584.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633584.089 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.090 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.091 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1547633584.095 * [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 1547633584.095 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.095 * [misc]backup-simplify: Simplify 0 into 0 1547633584.095 * [misc]backup-simplify: Simplify 0 into 0 1547633584.096 * [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))))) 1547633584.096 * [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)) 1547633584.096 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547633584.096 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.096 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of k in k 1547633584.096 * [misc]backup-simplify: Simplify 0 into 0 1547633584.096 * [misc]backup-simplify: Simplify 1 into 1 1547633584.096 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.096 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.096 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.096 * [misc]backup-simplify: Simplify -2 into -2 1547633584.096 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.096 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.096 * [misc]backup-simplify: Simplify PI into PI 1547633584.096 * [misc]taylor: Taking taylor expansion of n in k 1547633584.096 * [misc]backup-simplify: Simplify n into n 1547633584.096 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.096 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633584.096 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633584.097 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.097 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.097 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633584.097 * [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))) 1547633584.097 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of k in n 1547633584.097 * [misc]backup-simplify: Simplify k into k 1547633584.097 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.097 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.097 * [misc]backup-simplify: Simplify -2 into -2 1547633584.097 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.097 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.097 * [misc]backup-simplify: Simplify PI into PI 1547633584.097 * [misc]taylor: Taking taylor expansion of n in n 1547633584.097 * [misc]backup-simplify: Simplify 0 into 0 1547633584.097 * [misc]backup-simplify: Simplify 1 into 1 1547633584.098 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.098 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.098 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.098 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.099 * [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))) 1547633584.099 * [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)))) 1547633584.099 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633584.099 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633584.099 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of k in n 1547633584.100 * [misc]backup-simplify: Simplify k into k 1547633584.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.100 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.100 * [misc]backup-simplify: Simplify -2 into -2 1547633584.100 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.100 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.100 * [misc]backup-simplify: Simplify PI into PI 1547633584.100 * [misc]taylor: Taking taylor expansion of n in n 1547633584.100 * [misc]backup-simplify: Simplify 0 into 0 1547633584.100 * [misc]backup-simplify: Simplify 1 into 1 1547633584.100 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.100 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.100 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.100 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.101 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.101 * [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))) 1547633584.102 * [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)))) 1547633584.102 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of k in k 1547633584.102 * [misc]backup-simplify: Simplify 0 into 0 1547633584.102 * [misc]backup-simplify: Simplify 1 into 1 1547633584.102 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.102 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1547633584.102 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.102 * [misc]backup-simplify: Simplify -2 into -2 1547633584.102 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.102 * [misc]backup-simplify: Simplify PI into PI 1547633584.102 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.103 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.103 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633584.103 * [misc]taylor: Taking taylor expansion of n in k 1547633584.103 * [misc]backup-simplify: Simplify n into n 1547633584.103 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633584.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.103 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633584.103 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1547633584.104 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1547633584.104 * [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)))) 1547633584.105 * [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)))) 1547633584.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.106 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633584.107 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547633584.107 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.108 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1547633584.109 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.109 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.109 * [misc]backup-simplify: Simplify 0 into 0 1547633584.109 * [misc]backup-simplify: Simplify 0 into 0 1547633584.110 * [misc]backup-simplify: Simplify 0 into 0 1547633584.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.111 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.114 * [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 1547633584.114 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633584.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633584.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.115 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1547633584.117 * [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 1547633584.117 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.117 * [misc]backup-simplify: Simplify 0 into 0 1547633584.117 * [misc]backup-simplify: Simplify 0 into 0 1547633584.117 * [misc]backup-simplify: Simplify 0 into 0 1547633584.117 * [misc]backup-simplify: Simplify 0 into 0 1547633584.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.119 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.124 * [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 1547633584.124 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633584.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633584.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.126 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1547633584.128 * [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 1547633584.128 * [misc]taylor: Taking taylor expansion of 0 in k 1547633584.128 * [misc]backup-simplify: Simplify 0 into 0 1547633584.128 * [misc]backup-simplify: Simplify 0 into 0 1547633584.129 * [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))))) 1547633584.129 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1547633584.129 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1547633584.129 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1547633584.129 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.129 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.129 * [misc]backup-simplify: Simplify 2 into 2 1547633584.129 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.129 * [misc]taylor: Taking taylor expansion of n in n 1547633584.129 * [misc]backup-simplify: Simplify 0 into 0 1547633584.129 * [misc]backup-simplify: Simplify 1 into 1 1547633584.129 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.129 * [misc]backup-simplify: Simplify PI into PI 1547633584.129 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.129 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.129 * [misc]backup-simplify: Simplify 2 into 2 1547633584.130 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.130 * [misc]taylor: Taking taylor expansion of n in n 1547633584.130 * [misc]backup-simplify: Simplify 0 into 0 1547633584.130 * [misc]backup-simplify: Simplify 1 into 1 1547633584.130 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.130 * [misc]backup-simplify: Simplify PI into PI 1547633584.130 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.130 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.130 * [misc]backup-simplify: Simplify 0 into 0 1547633584.131 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.132 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.132 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.133 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633584.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633584.134 * [misc]backup-simplify: Simplify 0 into 0 1547633584.136 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1547633584.137 * [misc]backup-simplify: Simplify 0 into 0 1547633584.139 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633584.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1547633584.141 * [misc]backup-simplify: Simplify 0 into 0 1547633584.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633584.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1547633584.147 * [misc]backup-simplify: Simplify 0 into 0 1547633584.151 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633584.154 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1547633584.155 * [misc]backup-simplify: Simplify 0 into 0 1547633584.159 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1547633584.163 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1547633584.163 * [misc]backup-simplify: Simplify 0 into 0 1547633584.163 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1547633584.163 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1547633584.163 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1547633584.163 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.163 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.164 * [misc]backup-simplify: Simplify 2 into 2 1547633584.164 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.164 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.164 * [misc]backup-simplify: Simplify PI into PI 1547633584.164 * [misc]taylor: Taking taylor expansion of n in n 1547633584.164 * [misc]backup-simplify: Simplify 0 into 0 1547633584.164 * [misc]backup-simplify: Simplify 1 into 1 1547633584.164 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.164 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.164 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.164 * [misc]backup-simplify: Simplify 2 into 2 1547633584.164 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.164 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.164 * [misc]backup-simplify: Simplify PI into PI 1547633584.164 * [misc]taylor: Taking taylor expansion of n in n 1547633584.164 * [misc]backup-simplify: Simplify 0 into 0 1547633584.164 * [misc]backup-simplify: Simplify 1 into 1 1547633584.164 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.165 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.165 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.166 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.167 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633584.167 * [misc]backup-simplify: Simplify 0 into 0 1547633584.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.169 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.169 * [misc]backup-simplify: Simplify 0 into 0 1547633584.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.173 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.173 * [misc]backup-simplify: Simplify 0 into 0 1547633584.175 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.177 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633584.177 * [misc]backup-simplify: Simplify 0 into 0 1547633584.179 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.181 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633584.182 * [misc]backup-simplify: Simplify 0 into 0 1547633584.184 * [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 1547633584.187 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633584.187 * [misc]backup-simplify: Simplify 0 into 0 1547633584.187 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1547633584.188 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1547633584.188 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1547633584.188 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.188 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.188 * [misc]backup-simplify: Simplify -2 into -2 1547633584.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.188 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.188 * [misc]backup-simplify: Simplify PI into PI 1547633584.188 * [misc]taylor: Taking taylor expansion of n in n 1547633584.188 * [misc]backup-simplify: Simplify 0 into 0 1547633584.188 * [misc]backup-simplify: Simplify 1 into 1 1547633584.188 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.188 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.188 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.188 * [misc]backup-simplify: Simplify -2 into -2 1547633584.188 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.188 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.188 * [misc]backup-simplify: Simplify PI into PI 1547633584.188 * [misc]taylor: Taking taylor expansion of n in n 1547633584.188 * [misc]backup-simplify: Simplify 0 into 0 1547633584.188 * [misc]backup-simplify: Simplify 1 into 1 1547633584.189 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.189 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.191 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633584.191 * [misc]backup-simplify: Simplify 0 into 0 1547633584.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.194 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.194 * [misc]backup-simplify: Simplify 0 into 0 1547633584.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.197 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.197 * [misc]backup-simplify: Simplify 0 into 0 1547633584.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.201 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1547633584.201 * [misc]backup-simplify: Simplify 0 into 0 1547633584.204 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.206 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1547633584.206 * [misc]backup-simplify: Simplify 0 into 0 1547633584.209 * [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 1547633584.212 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1547633584.212 * [misc]backup-simplify: Simplify 0 into 0 1547633584.213 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1547633584.213 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1547633584.213 * [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)) 1547633584.213 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1547633584.213 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.213 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633584.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.213 * [misc]taylor: Taking taylor expansion of k in n 1547633584.214 * [misc]backup-simplify: Simplify k into k 1547633584.214 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.214 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.214 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.214 * [misc]backup-simplify: Simplify 2 into 2 1547633584.214 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.214 * [misc]taylor: Taking taylor expansion of n in n 1547633584.214 * [misc]backup-simplify: Simplify 0 into 0 1547633584.214 * [misc]backup-simplify: Simplify 1 into 1 1547633584.214 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.214 * [misc]backup-simplify: Simplify PI into PI 1547633584.214 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.214 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.216 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.216 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.216 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633584.216 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633584.216 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633584.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.218 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1547633584.219 * [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))))) 1547633584.219 * [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)))))) 1547633584.219 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633584.219 * [misc]taylor: Taking taylor expansion of k in n 1547633584.219 * [misc]backup-simplify: Simplify k into k 1547633584.219 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633584.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633584.220 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.220 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.220 * [misc]taylor: Taking taylor expansion of k in k 1547633584.220 * [misc]backup-simplify: Simplify 0 into 0 1547633584.220 * [misc]backup-simplify: Simplify 1 into 1 1547633584.220 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.220 * [misc]backup-simplify: Simplify 2 into 2 1547633584.220 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633584.220 * [misc]taylor: Taking taylor expansion of n in k 1547633584.220 * [misc]backup-simplify: Simplify n into n 1547633584.220 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.220 * [misc]backup-simplify: Simplify PI into PI 1547633584.220 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633584.220 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633584.221 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633584.221 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633584.221 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.221 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.221 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633584.221 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633584.221 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1547633584.221 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of k in k 1547633584.222 * [misc]backup-simplify: Simplify 0 into 0 1547633584.222 * [misc]backup-simplify: Simplify 1 into 1 1547633584.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.222 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.222 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633584.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.223 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633584.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.223 * [misc]taylor: Taking taylor expansion of k in k 1547633584.223 * [misc]backup-simplify: Simplify 0 into 0 1547633584.223 * [misc]backup-simplify: Simplify 1 into 1 1547633584.223 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633584.223 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633584.223 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.223 * [misc]backup-simplify: Simplify 2 into 2 1547633584.223 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633584.223 * [misc]taylor: Taking taylor expansion of n in k 1547633584.223 * [misc]backup-simplify: Simplify n into n 1547633584.223 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.223 * [misc]backup-simplify: Simplify PI into PI 1547633584.223 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633584.223 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633584.223 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633584.223 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633584.224 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.224 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.224 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633584.224 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633584.224 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1547633584.224 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633584.224 * [misc]taylor: Taking taylor expansion of k in k 1547633584.224 * [misc]backup-simplify: Simplify 0 into 0 1547633584.224 * [misc]backup-simplify: Simplify 1 into 1 1547633584.224 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.225 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.225 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1547633584.225 * [misc]taylor: Taking taylor expansion of 0 in n 1547633584.225 * [misc]backup-simplify: Simplify 0 into 0 1547633584.225 * [misc]backup-simplify: Simplify 0 into 0 1547633584.227 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1547633584.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1547633584.228 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1547633584.228 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633584.228 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.228 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1547633584.229 * [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))))) 1547633584.230 * [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))))) 1547633584.231 * [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)))) 1547633584.231 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.231 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.231 * [misc]taylor: Taking taylor expansion of n in n 1547633584.232 * [misc]backup-simplify: Simplify 0 into 0 1547633584.232 * [misc]backup-simplify: Simplify 1 into 1 1547633584.232 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.232 * [misc]backup-simplify: Simplify PI into PI 1547633584.232 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.233 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547633584.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.234 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547633584.234 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633584.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.234 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633584.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633584.235 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.236 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547633584.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.239 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.240 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.240 * [misc]backup-simplify: Simplify 0 into 0 1547633584.241 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.242 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1547633584.244 * [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 1547633584.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633584.244 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1547633584.246 * [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))) 1547633584.248 * [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)))))) 1547633584.252 * [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)))))) 1547633584.253 * [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 1547633584.253 * [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 1547633584.253 * [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 1547633584.253 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.253 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.253 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1547633584.253 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1547633584.253 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.253 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.253 * [misc]backup-simplify: Simplify 2 into 2 1547633584.253 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.253 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.253 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1547633584.253 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.253 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.254 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.254 * [misc]backup-simplify: Simplify 2 into 2 1547633584.254 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.254 * [misc]taylor: Taking taylor expansion of n in n 1547633584.254 * [misc]backup-simplify: Simplify 0 into 0 1547633584.254 * [misc]backup-simplify: Simplify 1 into 1 1547633584.254 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.254 * [misc]backup-simplify: Simplify PI into PI 1547633584.254 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.254 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.255 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.256 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.256 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.256 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1547633584.256 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633584.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.256 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633584.257 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633584.257 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547633584.257 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547633584.257 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.257 * [misc]taylor: Taking taylor expansion of n in n 1547633584.257 * [misc]backup-simplify: Simplify 0 into 0 1547633584.257 * [misc]backup-simplify: Simplify 1 into 1 1547633584.257 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.257 * [misc]backup-simplify: Simplify PI into PI 1547633584.257 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.258 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547633584.258 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.259 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547633584.259 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.259 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.259 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.259 * [misc]taylor: Taking taylor expansion of n in n 1547633584.259 * [misc]backup-simplify: Simplify 0 into 0 1547633584.259 * [misc]backup-simplify: Simplify 1 into 1 1547633584.259 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.259 * [misc]backup-simplify: Simplify PI into PI 1547633584.260 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.260 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.261 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1547633584.261 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.261 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1547633584.261 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633584.261 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.261 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.262 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633584.262 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633584.263 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.263 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1547633584.264 * [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)))) 1547633584.265 * [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))))) 1547633584.266 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.266 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1547633584.267 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633584.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633584.271 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.273 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1547633584.274 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1547633584.276 * [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))))) 1547633584.277 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1547633584.282 * [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))))) 1547633584.283 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.283 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547633584.285 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.286 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1547633584.292 * [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))))))) 1547633584.299 * [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))))))) 1547633584.306 * [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))))))) 1547633584.307 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1547633584.308 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633584.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1547633584.311 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1547633584.314 * [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)))) 1547633584.318 * [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)))) 1547633584.320 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1547633584.321 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1547633584.331 * [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))))))))))) 1547633584.332 * [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))) 1547633584.332 * [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 1547633584.332 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.332 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.332 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of k in n 1547633584.332 * [misc]backup-simplify: Simplify k into k 1547633584.332 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.332 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.332 * [misc]backup-simplify: Simplify 2 into 2 1547633584.332 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.332 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.332 * [misc]backup-simplify: Simplify PI into PI 1547633584.332 * [misc]taylor: Taking taylor expansion of n in n 1547633584.332 * [misc]backup-simplify: Simplify 0 into 0 1547633584.332 * [misc]backup-simplify: Simplify 1 into 1 1547633584.333 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.333 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.334 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.334 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.334 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.335 * [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))) 1547633584.336 * [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)))) 1547633584.336 * [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))))) 1547633584.337 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633584.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.337 * [misc]taylor: Taking taylor expansion of k in n 1547633584.337 * [misc]backup-simplify: Simplify k into k 1547633584.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.337 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633584.337 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633584.337 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.337 * [misc]taylor: Taking taylor expansion of k in k 1547633584.337 * [misc]backup-simplify: Simplify 0 into 0 1547633584.337 * [misc]backup-simplify: Simplify 1 into 1 1547633584.338 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.338 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633584.338 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633584.338 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.338 * [misc]backup-simplify: Simplify 2 into 2 1547633584.338 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.338 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.338 * [misc]backup-simplify: Simplify PI into PI 1547633584.338 * [misc]taylor: Taking taylor expansion of n in k 1547633584.338 * [misc]backup-simplify: Simplify n into n 1547633584.338 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.338 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633584.338 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633584.338 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.338 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.339 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.339 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633584.339 * [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)))) 1547633584.339 * [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))))) 1547633584.339 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633584.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.339 * [misc]taylor: Taking taylor expansion of k in k 1547633584.339 * [misc]backup-simplify: Simplify 0 into 0 1547633584.339 * [misc]backup-simplify: Simplify 1 into 1 1547633584.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.340 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.340 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.340 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.340 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.341 * [misc]taylor: Taking taylor expansion of k in k 1547633584.341 * [misc]backup-simplify: Simplify 0 into 0 1547633584.341 * [misc]backup-simplify: Simplify 1 into 1 1547633584.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.341 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633584.341 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633584.341 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.341 * [misc]backup-simplify: Simplify 2 into 2 1547633584.341 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.341 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.341 * [misc]backup-simplify: Simplify PI into PI 1547633584.341 * [misc]taylor: Taking taylor expansion of n in k 1547633584.341 * [misc]backup-simplify: Simplify n into n 1547633584.341 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.341 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633584.341 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633584.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.342 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633584.342 * [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)))) 1547633584.342 * [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))))) 1547633584.342 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633584.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.342 * [misc]taylor: Taking taylor expansion of k in k 1547633584.342 * [misc]backup-simplify: Simplify 0 into 0 1547633584.343 * [misc]backup-simplify: Simplify 1 into 1 1547633584.343 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.343 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.343 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.344 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547633584.344 * [misc]taylor: Taking taylor expansion of 0 in n 1547633584.344 * [misc]backup-simplify: Simplify 0 into 0 1547633584.344 * [misc]backup-simplify: Simplify 0 into 0 1547633584.344 * [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 1547633584.345 * [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))))))) 1547633584.345 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.345 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.345 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of k in n 1547633584.345 * [misc]backup-simplify: Simplify k into k 1547633584.345 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.345 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.345 * [misc]backup-simplify: Simplify 2 into 2 1547633584.345 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.345 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.345 * [misc]backup-simplify: Simplify PI into PI 1547633584.345 * [misc]taylor: Taking taylor expansion of n in n 1547633584.346 * [misc]backup-simplify: Simplify 0 into 0 1547633584.346 * [misc]backup-simplify: Simplify 1 into 1 1547633584.346 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.346 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.347 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.347 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.347 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.347 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.348 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.348 * [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))) 1547633584.349 * [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)))) 1547633584.349 * [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))))) 1547633584.350 * [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))))) 1547633584.351 * [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))))))) 1547633584.351 * [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))))))) 1547633584.352 * [misc]backup-simplify: Simplify 0 into 0 1547633584.352 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633584.353 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.354 * [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 1547633584.354 * [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))))))) 1547633584.354 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633584.354 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.354 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.354 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.354 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.354 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of k in n 1547633584.355 * [misc]backup-simplify: Simplify k into k 1547633584.355 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.355 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.355 * [misc]backup-simplify: Simplify 2 into 2 1547633584.355 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.355 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.355 * [misc]backup-simplify: Simplify PI into PI 1547633584.355 * [misc]taylor: Taking taylor expansion of n in n 1547633584.355 * [misc]backup-simplify: Simplify 0 into 0 1547633584.355 * [misc]backup-simplify: Simplify 1 into 1 1547633584.356 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.356 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.356 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.356 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.356 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.357 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.357 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.358 * [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))) 1547633584.358 * [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)))) 1547633584.359 * [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))))) 1547633584.360 * [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))))) 1547633584.361 * [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))))))) 1547633584.361 * [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))))))) 1547633584.362 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.363 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633584.365 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.365 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.365 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.365 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.366 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547633584.367 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.368 * [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 1547633584.368 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1547633584.368 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.368 * [misc]backup-simplify: Simplify 0 into 0 1547633584.368 * [misc]backup-simplify: Simplify 0 into 0 1547633584.369 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.369 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633584.370 * [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 1547633584.370 * [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))))))) 1547633584.370 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.370 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.370 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of k in n 1547633584.370 * [misc]backup-simplify: Simplify k into k 1547633584.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.370 * [misc]backup-simplify: Simplify 2 into 2 1547633584.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.370 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.370 * [misc]backup-simplify: Simplify PI into PI 1547633584.370 * [misc]taylor: Taking taylor expansion of n in n 1547633584.370 * [misc]backup-simplify: Simplify 0 into 0 1547633584.370 * [misc]backup-simplify: Simplify 1 into 1 1547633584.371 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.371 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.371 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.371 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.371 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.372 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1547633584.372 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1547633584.373 * [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))))) 1547633584.373 * [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))))) 1547633584.374 * [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))))))) 1547633584.374 * [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))))))) 1547633584.376 * [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)))))))))))) 1547633584.376 * [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))) 1547633584.376 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1547633584.376 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.376 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633584.376 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633584.376 * [misc]taylor: Taking taylor expansion of -1 in n 1547633584.376 * [misc]backup-simplify: Simplify -1 into -1 1547633584.376 * [misc]taylor: Taking taylor expansion of k in n 1547633584.376 * [misc]backup-simplify: Simplify k into k 1547633584.376 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633584.376 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633584.376 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633584.376 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633584.376 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.376 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633584.376 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of k in n 1547633584.377 * [misc]backup-simplify: Simplify k into k 1547633584.377 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.377 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.377 * [misc]backup-simplify: Simplify -2 into -2 1547633584.377 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.377 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.377 * [misc]backup-simplify: Simplify PI into PI 1547633584.377 * [misc]taylor: Taking taylor expansion of n in n 1547633584.377 * [misc]backup-simplify: Simplify 0 into 0 1547633584.377 * [misc]backup-simplify: Simplify 1 into 1 1547633584.377 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.377 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.378 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.378 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.378 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.378 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.379 * [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))) 1547633584.379 * [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)))) 1547633584.379 * [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))))) 1547633584.379 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547633584.380 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633584.380 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633584.380 * [misc]taylor: Taking taylor expansion of -1 in k 1547633584.380 * [misc]backup-simplify: Simplify -1 into -1 1547633584.380 * [misc]taylor: Taking taylor expansion of k in k 1547633584.380 * [misc]backup-simplify: Simplify 0 into 0 1547633584.380 * [misc]backup-simplify: Simplify 1 into 1 1547633584.380 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633584.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.381 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633584.381 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of k in k 1547633584.381 * [misc]backup-simplify: Simplify 0 into 0 1547633584.381 * [misc]backup-simplify: Simplify 1 into 1 1547633584.381 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.381 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.381 * [misc]backup-simplify: Simplify -2 into -2 1547633584.381 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.381 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.381 * [misc]backup-simplify: Simplify PI into PI 1547633584.381 * [misc]taylor: Taking taylor expansion of n in k 1547633584.381 * [misc]backup-simplify: Simplify n into n 1547633584.381 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.381 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633584.381 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633584.382 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.382 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.382 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633584.382 * [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))) 1547633584.382 * [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)))) 1547633584.382 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547633584.382 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633584.382 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633584.382 * [misc]taylor: Taking taylor expansion of -1 in k 1547633584.382 * [misc]backup-simplify: Simplify -1 into -1 1547633584.382 * [misc]taylor: Taking taylor expansion of k in k 1547633584.382 * [misc]backup-simplify: Simplify 0 into 0 1547633584.382 * [misc]backup-simplify: Simplify 1 into 1 1547633584.382 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633584.382 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.383 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633584.383 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of k in k 1547633584.383 * [misc]backup-simplify: Simplify 0 into 0 1547633584.383 * [misc]backup-simplify: Simplify 1 into 1 1547633584.383 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.383 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.383 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.383 * [misc]backup-simplify: Simplify -2 into -2 1547633584.383 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.383 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.383 * [misc]backup-simplify: Simplify PI into PI 1547633584.383 * [misc]taylor: Taking taylor expansion of n in k 1547633584.383 * [misc]backup-simplify: Simplify n into n 1547633584.383 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.383 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633584.383 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633584.383 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.383 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.384 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633584.384 * [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))) 1547633584.384 * [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)))) 1547633584.384 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.384 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.384 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.384 * [misc]backup-simplify: Simplify -2 into -2 1547633584.384 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.384 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.384 * [misc]backup-simplify: Simplify PI into PI 1547633584.384 * [misc]taylor: Taking taylor expansion of n in n 1547633584.384 * [misc]backup-simplify: Simplify 0 into 0 1547633584.384 * [misc]backup-simplify: Simplify 1 into 1 1547633584.384 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.384 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.385 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.385 * [misc]taylor: Taking taylor expansion of k in n 1547633584.385 * [misc]backup-simplify: Simplify k into k 1547633584.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.385 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.385 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.386 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.386 * [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))) 1547633584.386 * [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)))) 1547633584.387 * [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))))) 1547633584.387 * [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))))) 1547633584.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633584.388 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.388 * [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)))))) 1547633584.388 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1547633584.388 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633584.388 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.388 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.388 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.388 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.389 * [misc]backup-simplify: Simplify -2 into -2 1547633584.389 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.389 * [misc]backup-simplify: Simplify PI into PI 1547633584.389 * [misc]taylor: Taking taylor expansion of n in n 1547633584.389 * [misc]backup-simplify: Simplify 0 into 0 1547633584.389 * [misc]backup-simplify: Simplify 1 into 1 1547633584.389 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.389 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.389 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.389 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.389 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.389 * [misc]taylor: Taking taylor expansion of k in n 1547633584.389 * [misc]backup-simplify: Simplify k into k 1547633584.389 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.390 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.390 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.390 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.390 * [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))) 1547633584.391 * [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)))) 1547633584.391 * [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))))) 1547633584.392 * [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))))) 1547633584.392 * [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))))))) 1547633584.393 * [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))))))) 1547633584.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.394 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.394 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633584.396 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547633584.397 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1547633584.398 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.399 * [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 1547633584.399 * [misc]backup-simplify: Simplify 0 into 0 1547633584.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.400 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633584.400 * [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)))))) 1547633584.400 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1547633584.400 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633584.400 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.400 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.400 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.400 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.400 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.400 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.401 * [misc]backup-simplify: Simplify -2 into -2 1547633584.401 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.401 * [misc]backup-simplify: Simplify PI into PI 1547633584.401 * [misc]taylor: Taking taylor expansion of n in n 1547633584.401 * [misc]backup-simplify: Simplify 0 into 0 1547633584.401 * [misc]backup-simplify: Simplify 1 into 1 1547633584.401 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.401 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.401 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.401 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.401 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.401 * [misc]taylor: Taking taylor expansion of k in n 1547633584.401 * [misc]backup-simplify: Simplify k into k 1547633584.401 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.401 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.402 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.402 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.402 * [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))) 1547633584.403 * [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)))) 1547633584.403 * [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))))) 1547633584.404 * [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))))) 1547633584.404 * [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))))))) 1547633584.405 * [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))))))) 1547633584.407 * [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)))))))))))) 1547633584.407 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1547633584.407 * [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)))) 1547633584.407 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1547633584.407 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of k in n 1547633584.407 * [misc]backup-simplify: Simplify k into k 1547633584.407 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.407 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633584.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.407 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633584.407 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.407 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633584.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.408 * [misc]taylor: Taking taylor expansion of k in n 1547633584.408 * [misc]backup-simplify: Simplify k into k 1547633584.408 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.408 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.408 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.408 * [misc]backup-simplify: Simplify 2 into 2 1547633584.408 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.408 * [misc]taylor: Taking taylor expansion of n in n 1547633584.408 * [misc]backup-simplify: Simplify 0 into 0 1547633584.408 * [misc]backup-simplify: Simplify 1 into 1 1547633584.408 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.408 * [misc]backup-simplify: Simplify PI into PI 1547633584.408 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.408 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.409 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.410 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.410 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.410 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633584.410 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633584.411 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633584.411 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.412 * [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)))) 1547633584.412 * [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))))) 1547633584.412 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547633584.413 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633584.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.413 * [misc]taylor: Taking taylor expansion of k in k 1547633584.413 * [misc]backup-simplify: Simplify 0 into 0 1547633584.413 * [misc]backup-simplify: Simplify 1 into 1 1547633584.413 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.413 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.413 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.413 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633584.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.414 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.414 * [misc]taylor: Taking taylor expansion of k in k 1547633584.414 * [misc]backup-simplify: Simplify 0 into 0 1547633584.414 * [misc]backup-simplify: Simplify 1 into 1 1547633584.414 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.414 * [misc]backup-simplify: Simplify 2 into 2 1547633584.414 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633584.414 * [misc]taylor: Taking taylor expansion of n in k 1547633584.414 * [misc]backup-simplify: Simplify n into n 1547633584.414 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.414 * [misc]backup-simplify: Simplify PI into PI 1547633584.414 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633584.414 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633584.414 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633584.414 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633584.415 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.415 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.415 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633584.415 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633584.415 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1547633584.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633584.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.415 * [misc]taylor: Taking taylor expansion of k in k 1547633584.415 * [misc]backup-simplify: Simplify 0 into 0 1547633584.415 * [misc]backup-simplify: Simplify 1 into 1 1547633584.415 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.416 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.416 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.416 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.416 * [misc]taylor: Taking taylor expansion of k in k 1547633584.416 * [misc]backup-simplify: Simplify 0 into 0 1547633584.416 * [misc]backup-simplify: Simplify 1 into 1 1547633584.416 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.416 * [misc]backup-simplify: Simplify 2 into 2 1547633584.416 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1547633584.416 * [misc]taylor: Taking taylor expansion of n in k 1547633584.416 * [misc]backup-simplify: Simplify n into n 1547633584.417 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.417 * [misc]backup-simplify: Simplify PI into PI 1547633584.417 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1547633584.417 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1547633584.417 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1547633584.417 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633584.417 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.417 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.417 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1547633584.417 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1547633584.418 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1547633584.418 * [misc]taylor: Taking taylor expansion of 0 in n 1547633584.418 * [misc]backup-simplify: Simplify 0 into 0 1547633584.418 * [misc]backup-simplify: Simplify 0 into 0 1547633584.418 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1547633584.418 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1547633584.419 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1547633584.419 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633584.420 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.420 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1547633584.420 * [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))))) 1547633584.421 * [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))))) 1547633584.421 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547633584.421 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633584.421 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.421 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.421 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633584.421 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.421 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.421 * [misc]backup-simplify: Simplify 2 into 2 1547633584.421 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.422 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.422 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.422 * [misc]taylor: Taking taylor expansion of n in n 1547633584.422 * [misc]backup-simplify: Simplify 0 into 0 1547633584.422 * [misc]backup-simplify: Simplify 1 into 1 1547633584.422 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.422 * [misc]backup-simplify: Simplify PI into PI 1547633584.422 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.423 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.423 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.423 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633584.424 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.424 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.424 * [misc]backup-simplify: Simplify 0 into 0 1547633584.424 * [misc]backup-simplify: Simplify 0 into 0 1547633584.425 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1547633584.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1547633584.427 * [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 1547633584.427 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633584.427 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.427 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1547633584.429 * [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))) 1547633584.429 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633584.430 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.431 * [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))))))) 1547633584.431 * [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 1547633584.431 * [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 1547633584.431 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1547633584.431 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.431 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.431 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1547633584.431 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1547633584.431 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.431 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.431 * [misc]backup-simplify: Simplify 2 into 2 1547633584.431 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.432 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.432 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.432 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.432 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.432 * [misc]backup-simplify: Simplify 2 into 2 1547633584.432 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.432 * [misc]taylor: Taking taylor expansion of n in n 1547633584.432 * [misc]backup-simplify: Simplify 0 into 0 1547633584.432 * [misc]backup-simplify: Simplify 1 into 1 1547633584.432 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.432 * [misc]backup-simplify: Simplify PI into PI 1547633584.432 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.432 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.434 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.434 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.434 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.434 * [misc]taylor: Taking taylor expansion of n in n 1547633584.434 * [misc]backup-simplify: Simplify 0 into 0 1547633584.434 * [misc]backup-simplify: Simplify 1 into 1 1547633584.434 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.434 * [misc]backup-simplify: Simplify PI into PI 1547633584.435 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.435 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.435 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.436 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.436 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.436 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.436 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.436 * [misc]backup-simplify: Simplify 2 into 2 1547633584.436 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.436 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.436 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.436 * [misc]taylor: Taking taylor expansion of n in n 1547633584.437 * [misc]backup-simplify: Simplify 0 into 0 1547633584.437 * [misc]backup-simplify: Simplify 1 into 1 1547633584.437 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.437 * [misc]backup-simplify: Simplify PI into PI 1547633584.437 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.438 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.439 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.439 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1547633584.440 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1547633584.440 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.440 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633584.441 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.441 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.441 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.441 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.441 * [misc]backup-simplify: Simplify 0 into 0 1547633584.442 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.444 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.445 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.446 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.447 * [misc]backup-simplify: Simplify 0 into 0 1547633584.448 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1547633584.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1547633584.451 * [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 1547633584.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633584.451 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1547633584.454 * [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))) 1547633584.454 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.455 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633584.457 * [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))))))))) 1547633584.457 * [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 1547633584.457 * [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 1547633584.457 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1547633584.457 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.457 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.457 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1547633584.457 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1547633584.457 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.457 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.457 * [misc]backup-simplify: Simplify 2 into 2 1547633584.457 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.457 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.458 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.458 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.458 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.458 * [misc]backup-simplify: Simplify 2 into 2 1547633584.458 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.458 * [misc]taylor: Taking taylor expansion of n in n 1547633584.458 * [misc]backup-simplify: Simplify 0 into 0 1547633584.458 * [misc]backup-simplify: Simplify 1 into 1 1547633584.458 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.458 * [misc]backup-simplify: Simplify PI into PI 1547633584.458 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.458 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.459 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.460 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.460 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.460 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.460 * [misc]taylor: Taking taylor expansion of n in n 1547633584.460 * [misc]backup-simplify: Simplify 0 into 0 1547633584.460 * [misc]backup-simplify: Simplify 1 into 1 1547633584.460 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.460 * [misc]backup-simplify: Simplify PI into PI 1547633584.460 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.461 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.462 * [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 1547633584.462 * [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 1547633584.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.462 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.462 * [misc]backup-simplify: Simplify 2 into 2 1547633584.462 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.462 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.462 * [misc]backup-simplify: Simplify 2 into 2 1547633584.462 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.462 * [misc]taylor: Taking taylor expansion of n in n 1547633584.462 * [misc]backup-simplify: Simplify 0 into 0 1547633584.462 * [misc]backup-simplify: Simplify 1 into 1 1547633584.462 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.462 * [misc]backup-simplify: Simplify PI into PI 1547633584.463 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.463 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633584.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.464 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1547633584.465 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.465 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.465 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.465 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.465 * [misc]taylor: Taking taylor expansion of n in n 1547633584.465 * [misc]backup-simplify: Simplify 0 into 0 1547633584.465 * [misc]backup-simplify: Simplify 1 into 1 1547633584.465 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.465 * [misc]backup-simplify: Simplify PI into PI 1547633584.466 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.466 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.467 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.467 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547633584.467 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633584.467 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.467 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.467 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633584.467 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633584.467 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.467 * [misc]backup-simplify: Simplify 2 into 2 1547633584.467 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633584.468 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633584.468 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633584.468 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633584.468 * [misc]taylor: Taking taylor expansion of n in n 1547633584.468 * [misc]backup-simplify: Simplify 0 into 0 1547633584.468 * [misc]backup-simplify: Simplify 1 into 1 1547633584.468 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.468 * [misc]backup-simplify: Simplify PI into PI 1547633584.468 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633584.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633584.469 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.469 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633584.470 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.470 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1547633584.471 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1547633584.471 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.472 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.473 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.474 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1547633584.474 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1547633584.475 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1547633584.475 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.475 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633584.475 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.476 * [misc]backup-simplify: Simplify 0 into 0 1547633584.477 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633584.478 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1547633584.481 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.482 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1547633584.482 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1547633584.483 * [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)))))))) 1547633584.486 * [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)))))))) 1547633584.487 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.489 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.490 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633584.493 * [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)))))))))) 1547633584.497 * [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))))))) 1547633584.500 * [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))))))) 1547633584.501 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633584.503 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547633584.504 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547633584.505 * [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)))) 1547633584.508 * [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)))) 1547633584.509 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633584.509 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633584.513 * [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))))))))))))) 1547633584.513 * [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))))) 1547633584.513 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1547633584.513 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.513 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633584.513 * [misc]taylor: Taking taylor expansion of k in n 1547633584.513 * [misc]backup-simplify: Simplify k into k 1547633584.513 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633584.513 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633584.513 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.514 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.514 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of k in n 1547633584.514 * [misc]backup-simplify: Simplify k into k 1547633584.514 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.514 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.514 * [misc]backup-simplify: Simplify 2 into 2 1547633584.514 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.514 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.514 * [misc]backup-simplify: Simplify PI into PI 1547633584.514 * [misc]taylor: Taking taylor expansion of n in n 1547633584.514 * [misc]backup-simplify: Simplify 0 into 0 1547633584.514 * [misc]backup-simplify: Simplify 1 into 1 1547633584.514 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.514 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.515 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.515 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.515 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.515 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.515 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.516 * [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))) 1547633584.516 * [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)))) 1547633584.516 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633584.516 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633584.516 * [misc]taylor: Taking taylor expansion of k in k 1547633584.516 * [misc]backup-simplify: Simplify 0 into 0 1547633584.516 * [misc]backup-simplify: Simplify 1 into 1 1547633584.516 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.516 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.517 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of k in k 1547633584.517 * [misc]backup-simplify: Simplify 0 into 0 1547633584.517 * [misc]backup-simplify: Simplify 1 into 1 1547633584.517 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.517 * [misc]backup-simplify: Simplify 2 into 2 1547633584.517 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.517 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.517 * [misc]backup-simplify: Simplify PI into PI 1547633584.517 * [misc]taylor: Taking taylor expansion of n in k 1547633584.517 * [misc]backup-simplify: Simplify n into n 1547633584.517 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.517 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633584.517 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633584.517 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.518 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.518 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.518 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633584.518 * [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)))) 1547633584.518 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633584.518 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633584.518 * [misc]taylor: Taking taylor expansion of k in k 1547633584.518 * [misc]backup-simplify: Simplify 0 into 0 1547633584.518 * [misc]backup-simplify: Simplify 1 into 1 1547633584.518 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.519 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633584.519 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of k in k 1547633584.519 * [misc]backup-simplify: Simplify 0 into 0 1547633584.519 * [misc]backup-simplify: Simplify 1 into 1 1547633584.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.519 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of 2 in k 1547633584.519 * [misc]backup-simplify: Simplify 2 into 2 1547633584.519 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.519 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.519 * [misc]backup-simplify: Simplify PI into PI 1547633584.519 * [misc]taylor: Taking taylor expansion of n in k 1547633584.519 * [misc]backup-simplify: Simplify n into n 1547633584.519 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.519 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1547633584.519 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1547633584.519 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.520 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633584.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633584.520 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1547633584.520 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1547633584.520 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1547633584.520 * [misc]taylor: Taking taylor expansion of 0 in n 1547633584.520 * [misc]backup-simplify: Simplify 0 into 0 1547633584.520 * [misc]backup-simplify: Simplify 0 into 0 1547633584.520 * [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)))))) 1547633584.520 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.520 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.520 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.520 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.520 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.520 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of k in n 1547633584.521 * [misc]backup-simplify: Simplify k into k 1547633584.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.521 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.521 * [misc]backup-simplify: Simplify 2 into 2 1547633584.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.521 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.521 * [misc]backup-simplify: Simplify PI into PI 1547633584.521 * [misc]taylor: Taking taylor expansion of n in n 1547633584.521 * [misc]backup-simplify: Simplify 0 into 0 1547633584.521 * [misc]backup-simplify: Simplify 1 into 1 1547633584.521 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.521 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.522 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.522 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.522 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.522 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.522 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.522 * [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))) 1547633584.523 * [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)))) 1547633584.523 * [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))))) 1547633584.524 * [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)))))) 1547633584.524 * [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)))))) 1547633584.524 * [misc]backup-simplify: Simplify 0 into 0 1547633584.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.525 * [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)))))) 1547633584.525 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.525 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.525 * [misc]taylor: Taking taylor expansion of k in n 1547633584.525 * [misc]backup-simplify: Simplify k into k 1547633584.525 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.526 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.526 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.526 * [misc]backup-simplify: Simplify 2 into 2 1547633584.526 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.526 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.526 * [misc]backup-simplify: Simplify PI into PI 1547633584.526 * [misc]taylor: Taking taylor expansion of n in n 1547633584.526 * [misc]backup-simplify: Simplify 0 into 0 1547633584.526 * [misc]backup-simplify: Simplify 1 into 1 1547633584.526 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.526 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.526 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.526 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.526 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.526 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.527 * [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))) 1547633584.528 * [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)))) 1547633584.528 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1547633584.529 * [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)))))) 1547633584.529 * [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)))))) 1547633584.530 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1547633584.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1547633584.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.532 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1547633584.534 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.535 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1547633584.535 * [misc]backup-simplify: Simplify (- 0) into 0 1547633584.535 * [misc]backup-simplify: Simplify 0 into 0 1547633584.535 * [misc]backup-simplify: Simplify 0 into 0 1547633584.535 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633584.536 * [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)))))) 1547633584.536 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.536 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.536 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.536 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of k in n 1547633584.536 * [misc]backup-simplify: Simplify k into k 1547633584.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.536 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of 2 in n 1547633584.536 * [misc]backup-simplify: Simplify 2 into 2 1547633584.536 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.536 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.536 * [misc]backup-simplify: Simplify PI into PI 1547633584.536 * [misc]taylor: Taking taylor expansion of n in n 1547633584.536 * [misc]backup-simplify: Simplify 0 into 0 1547633584.536 * [misc]backup-simplify: Simplify 1 into 1 1547633584.537 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.537 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1547633584.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1547633584.537 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.537 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633584.537 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633584.538 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1547633584.538 * [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))) 1547633584.538 * [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)))) 1547633584.539 * [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))))) 1547633584.539 * [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)))))) 1547633584.540 * [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)))))) 1547633584.541 * [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)))))))) 1547633584.541 * [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))) 1547633584.541 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1547633584.541 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1547633584.541 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.541 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of k in n 1547633584.542 * [misc]backup-simplify: Simplify k into k 1547633584.542 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.542 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.542 * [misc]backup-simplify: Simplify -2 into -2 1547633584.542 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.542 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.542 * [misc]backup-simplify: Simplify PI into PI 1547633584.542 * [misc]taylor: Taking taylor expansion of n in n 1547633584.542 * [misc]backup-simplify: Simplify 0 into 0 1547633584.542 * [misc]backup-simplify: Simplify 1 into 1 1547633584.542 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.542 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.543 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.543 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.543 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.544 * [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))) 1547633584.544 * [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)))) 1547633584.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633584.544 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633584.544 * [misc]taylor: Taking taylor expansion of -1 in n 1547633584.544 * [misc]backup-simplify: Simplify -1 into -1 1547633584.544 * [misc]taylor: Taking taylor expansion of k in n 1547633584.545 * [misc]backup-simplify: Simplify k into k 1547633584.545 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633584.545 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633584.545 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633584.545 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633584.546 * [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))) 1547633584.546 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of k in k 1547633584.546 * [misc]backup-simplify: Simplify 0 into 0 1547633584.546 * [misc]backup-simplify: Simplify 1 into 1 1547633584.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.546 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.546 * [misc]backup-simplify: Simplify -2 into -2 1547633584.546 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.546 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.546 * [misc]backup-simplify: Simplify PI into PI 1547633584.546 * [misc]taylor: Taking taylor expansion of n in k 1547633584.546 * [misc]backup-simplify: Simplify n into n 1547633584.547 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.547 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633584.547 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633584.547 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.547 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.547 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633584.547 * [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))) 1547633584.547 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633584.547 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633584.547 * [misc]taylor: Taking taylor expansion of -1 in k 1547633584.548 * [misc]backup-simplify: Simplify -1 into -1 1547633584.548 * [misc]taylor: Taking taylor expansion of k in k 1547633584.548 * [misc]backup-simplify: Simplify 0 into 0 1547633584.548 * [misc]backup-simplify: Simplify 1 into 1 1547633584.548 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633584.548 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.548 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633584.549 * [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)))) 1547633584.549 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of k in k 1547633584.549 * [misc]backup-simplify: Simplify 0 into 0 1547633584.549 * [misc]backup-simplify: Simplify 1 into 1 1547633584.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633584.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633584.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.549 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of -2 in k 1547633584.549 * [misc]backup-simplify: Simplify -2 into -2 1547633584.549 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1547633584.549 * [misc]taylor: Taking taylor expansion of PI in k 1547633584.549 * [misc]backup-simplify: Simplify PI into PI 1547633584.549 * [misc]taylor: Taking taylor expansion of n in k 1547633584.549 * [misc]backup-simplify: Simplify n into n 1547633584.550 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1547633584.550 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1547633584.550 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1547633584.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633584.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633584.550 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1547633584.550 * [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))) 1547633584.550 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633584.550 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633584.550 * [misc]taylor: Taking taylor expansion of -1 in k 1547633584.550 * [misc]backup-simplify: Simplify -1 into -1 1547633584.551 * [misc]taylor: Taking taylor expansion of k in k 1547633584.551 * [misc]backup-simplify: Simplify 0 into 0 1547633584.551 * [misc]backup-simplify: Simplify 1 into 1 1547633584.551 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633584.551 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633584.551 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633584.552 * [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)))) 1547633584.552 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.552 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.552 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.552 * [misc]backup-simplify: Simplify -2 into -2 1547633584.552 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.552 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.552 * [misc]backup-simplify: Simplify PI into PI 1547633584.552 * [misc]taylor: Taking taylor expansion of n in n 1547633584.552 * [misc]backup-simplify: Simplify 0 into 0 1547633584.552 * [misc]backup-simplify: Simplify 1 into 1 1547633584.552 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.553 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.553 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.553 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.553 * [misc]taylor: Taking taylor expansion of k in n 1547633584.553 * [misc]backup-simplify: Simplify k into k 1547633584.553 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.553 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.554 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.554 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.555 * [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))) 1547633584.555 * [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)))) 1547633584.556 * [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))))) 1547633584.557 * [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))))) 1547633584.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633584.558 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633584.559 * [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))))) 1547633584.559 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.559 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.559 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.559 * [misc]backup-simplify: Simplify -2 into -2 1547633584.559 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.559 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.559 * [misc]backup-simplify: Simplify PI into PI 1547633584.559 * [misc]taylor: Taking taylor expansion of n in n 1547633584.559 * [misc]backup-simplify: Simplify 0 into 0 1547633584.559 * [misc]backup-simplify: Simplify 1 into 1 1547633584.560 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.560 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.561 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.561 * [misc]taylor: Taking taylor expansion of k in n 1547633584.561 * [misc]backup-simplify: Simplify k into k 1547633584.561 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.562 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.562 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.562 * [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))) 1547633584.563 * [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)))) 1547633584.564 * [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))))) 1547633584.564 * [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)))))) 1547633584.565 * [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)))))) 1547633584.566 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633584.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633584.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633584.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1547633584.568 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1547633584.571 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1547633584.571 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1547633584.573 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633584.574 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1547633584.574 * [misc]backup-simplify: Simplify 0 into 0 1547633584.574 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633584.576 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633584.577 * [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))))) 1547633584.577 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633584.577 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633584.577 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of -2 in n 1547633584.577 * [misc]backup-simplify: Simplify -2 into -2 1547633584.577 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1547633584.577 * [misc]taylor: Taking taylor expansion of PI in n 1547633584.577 * [misc]backup-simplify: Simplify PI into PI 1547633584.577 * [misc]taylor: Taking taylor expansion of n in n 1547633584.577 * [misc]backup-simplify: Simplify 0 into 0 1547633584.577 * [misc]backup-simplify: Simplify 1 into 1 1547633584.577 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1547633584.578 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1547633584.578 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1547633584.578 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633584.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633584.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633584.578 * [misc]taylor: Taking taylor expansion of k in n 1547633584.578 * [misc]backup-simplify: Simplify k into k 1547633584.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633584.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633584.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633584.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1547633584.579 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633584.579 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633584.580 * [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))) 1547633584.580 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1547633584.581 * [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))))) 1547633584.582 * [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)))))) 1547633584.583 * [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)))))) 1547633584.585 * [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))))))))))) 1547633584.585 * * * [misc]progress: simplifying candidates 1547633584.585 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1547633584.586 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1547633584.586 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1547633584.586 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1547633584.586 * * [misc]simplify: iters left: 6 (11 enodes) 1547633584.590 * * [misc]simplify: iters left: 5 (21 enodes) 1547633584.597 * * [misc]simplify: iters left: 4 (47 enodes) 1547633584.615 * * [misc]simplify: iters left: 3 (113 enodes) 1547633584.653 * * [misc]simplify: iters left: 2 (328 enodes) 1547633584.871 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1547633584.871 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1547633584.871 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1547633584.871 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1547633584.872 * [enter]simplify: Simplifying (* PI (* n 2)) 1547633584.872 * * [misc]simplify: iters left: 4 (5 enodes) 1547633584.873 * * [misc]simplify: iters left: 3 (9 enodes) 1547633584.876 * * [misc]simplify: iters left: 2 (15 enodes) 1547633584.880 * * [misc]simplify: iters left: 1 (17 enodes) 1547633584.884 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547633584.884 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1547633584.884 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1547633584.885 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547633584.885 * * [misc]simplify: iters left: 5 (8 enodes) 1547633584.888 * * [misc]simplify: iters left: 4 (12 enodes) 1547633584.891 * * [misc]simplify: iters left: 3 (18 enodes) 1547633584.897 * * [misc]simplify: iters left: 2 (20 enodes) 1547633584.902 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547633584.902 * [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)))))) 1547633584.902 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1547633584.902 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633584.902 * * [misc]simplify: iters left: 5 (6 enodes) 1547633584.904 * * [misc]simplify: iters left: 4 (8 enodes) 1547633584.907 * * [misc]simplify: iters left: 3 (11 enodes) 1547633584.910 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633584.910 * [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))))))) 1547633584.910 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1547633584.910 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633584.910 * * [misc]simplify: iters left: 5 (6 enodes) 1547633584.912 * * [misc]simplify: iters left: 4 (8 enodes) 1547633584.915 * * [misc]simplify: iters left: 3 (11 enodes) 1547633584.918 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633584.918 * [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))))))) 1547633584.918 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1547633584.918 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633584.918 * * [misc]simplify: iters left: 4 (5 enodes) 1547633584.920 * * [misc]simplify: iters left: 3 (7 enodes) 1547633584.922 * * [misc]simplify: iters left: 2 (10 enodes) 1547633584.925 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633584.925 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1547633584.925 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1547633584.925 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633584.925 * * [misc]simplify: iters left: 5 (9 enodes) 1547633584.929 * * [misc]simplify: iters left: 4 (15 enodes) 1547633584.933 * * [misc]simplify: iters left: 3 (21 enodes) 1547633584.939 * * [misc]simplify: iters left: 2 (22 enodes) 1547633584.944 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633584.945 * [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))))))) 1547633584.945 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1547633584.945 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633584.945 * * [misc]simplify: iters left: 5 (9 enodes) 1547633584.948 * * [misc]simplify: iters left: 4 (15 enodes) 1547633584.952 * * [misc]simplify: iters left: 3 (21 enodes) 1547633584.958 * * [misc]simplify: iters left: 2 (22 enodes) 1547633584.964 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633584.964 * [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))))))) 1547633584.964 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1547633584.964 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547633584.965 * * [misc]simplify: iters left: 5 (7 enodes) 1547633584.967 * * [misc]simplify: iters left: 4 (9 enodes) 1547633584.970 * * [misc]simplify: iters left: 3 (12 enodes) 1547633584.973 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633584.973 * [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))))))) 1547633584.973 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1547633584.973 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1547633584.974 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1547633584.975 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1547633584.975 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1547633584.975 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1547633584.975 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1547633584.975 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1547633584.975 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1547633584.975 * * [misc]simplify: iters left: 6 (14 enodes) 1547633584.980 * * [misc]simplify: iters left: 5 (26 enodes) 1547633584.990 * * [misc]simplify: iters left: 4 (59 enodes) 1547633585.010 * * [misc]simplify: iters left: 3 (172 enodes) 1547633585.074 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1547633585.074 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1547633585.074 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1547633585.074 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1547633585.074 * * [misc]simplify: iters left: 6 (14 enodes) 1547633585.077 * * [misc]simplify: iters left: 5 (26 enodes) 1547633585.082 * * [misc]simplify: iters left: 4 (59 enodes) 1547633585.098 * * [misc]simplify: iters left: 3 (172 enodes) 1547633585.169 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1547633585.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1547633585.169 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1547633585.169 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633585.169 * * [misc]simplify: iters left: 6 (14 enodes) 1547633585.174 * * [misc]simplify: iters left: 5 (24 enodes) 1547633585.182 * * [misc]simplify: iters left: 4 (46 enodes) 1547633585.195 * * [misc]simplify: iters left: 3 (105 enodes) 1547633585.221 * * [misc]simplify: iters left: 2 (354 enodes) 1547633585.453 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1547633585.453 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1547633585.453 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1547633585.453 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1547633585.453 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1547633585.453 * [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))))) 1547633585.454 * * [misc]simplify: iters left: 6 (16 enodes) 1547633585.460 * * [misc]simplify: iters left: 5 (31 enodes) 1547633585.470 * * [misc]simplify: iters left: 4 (70 enodes) 1547633585.495 * * [misc]simplify: iters left: 3 (130 enodes) 1547633585.543 * * [misc]simplify: iters left: 2 (206 enodes) 1547633585.632 * * [misc]simplify: iters left: 1 (288 enodes) 1547633585.772 * [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))))) 1547633585.772 * [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)))))))) 1547633585.772 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1547633585.772 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1547633585.772 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1547633585.773 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1547633585.773 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1547633585.773 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1547633585.773 * * [misc]simplify: iters left: 6 (12 enodes) 1547633585.775 * * [misc]simplify: iters left: 5 (19 enodes) 1547633585.778 * * [misc]simplify: iters left: 4 (27 enodes) 1547633585.782 * * [misc]simplify: iters left: 3 (29 enodes) 1547633585.785 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1547633585.786 * [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))))))) 1547633585.786 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633585.786 * * [misc]simplify: iters left: 6 (12 enodes) 1547633585.788 * * [misc]simplify: iters left: 5 (18 enodes) 1547633585.790 * * [misc]simplify: iters left: 4 (24 enodes) 1547633585.794 * * [misc]simplify: iters left: 3 (25 enodes) 1547633585.799 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633585.799 * [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))))))) 1547633585.799 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1547633585.799 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1547633585.800 * * [misc]simplify: iters left: 6 (12 enodes) 1547633585.804 * * [misc]simplify: iters left: 5 (19 enodes) 1547633585.809 * * [misc]simplify: iters left: 4 (27 enodes) 1547633585.814 * * [misc]simplify: iters left: 3 (29 enodes) 1547633585.818 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1547633585.818 * [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))))))) 1547633585.818 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633585.818 * * [misc]simplify: iters left: 6 (12 enodes) 1547633585.820 * * [misc]simplify: iters left: 5 (18 enodes) 1547633585.823 * * [misc]simplify: iters left: 4 (24 enodes) 1547633585.826 * * [misc]simplify: iters left: 3 (25 enodes) 1547633585.830 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633585.830 * [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))))))) 1547633585.830 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1547633585.830 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1547633585.830 * * [misc]simplify: iters left: 6 (11 enodes) 1547633585.832 * * [misc]simplify: iters left: 5 (15 enodes) 1547633585.834 * * [misc]simplify: iters left: 4 (20 enodes) 1547633585.837 * * [misc]simplify: iters left: 3 (21 enodes) 1547633585.841 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1547633585.841 * [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))))))) 1547633585.842 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633585.842 * * [misc]simplify: iters left: 6 (11 enodes) 1547633585.844 * * [misc]simplify: iters left: 5 (14 enodes) 1547633585.848 * * [misc]simplify: iters left: 4 (17 enodes) 1547633585.853 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633585.853 * [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))))))) 1547633585.853 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1547633585.853 * [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)))))) 1547633585.854 * * [misc]simplify: iters left: 6 (16 enodes) 1547633585.859 * * [misc]simplify: iters left: 5 (28 enodes) 1547633585.868 * * [misc]simplify: iters left: 4 (46 enodes) 1547633585.880 * * [misc]simplify: iters left: 3 (50 enodes) 1547633585.893 * * [misc]simplify: iters left: 2 (53 enodes) 1547633585.901 * [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)))))) 1547633585.901 * [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)))))))) 1547633585.901 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633585.901 * * [misc]simplify: iters left: 6 (14 enodes) 1547633585.903 * * [misc]simplify: iters left: 5 (20 enodes) 1547633585.906 * * [misc]simplify: iters left: 4 (29 enodes) 1547633585.910 * * [misc]simplify: iters left: 3 (30 enodes) 1547633585.914 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633585.914 * [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)))))))) 1547633585.914 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1547633585.914 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633585.914 * * [misc]simplify: iters left: 6 (15 enodes) 1547633585.916 * * [misc]simplify: iters left: 5 (23 enodes) 1547633585.920 * * [misc]simplify: iters left: 4 (34 enodes) 1547633585.925 * * [misc]simplify: iters left: 3 (36 enodes) 1547633585.932 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633585.932 * [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)))))))) 1547633585.932 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633585.932 * * [misc]simplify: iters left: 6 (14 enodes) 1547633585.937 * * [misc]simplify: iters left: 5 (20 enodes) 1547633585.943 * * [misc]simplify: iters left: 4 (29 enodes) 1547633585.952 * * [misc]simplify: iters left: 3 (30 enodes) 1547633585.961 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633585.961 * [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)))))))) 1547633585.961 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1547633585.961 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1547633585.961 * * [misc]simplify: iters left: 6 (6 enodes) 1547633585.963 * * [misc]simplify: iters left: 5 (10 enodes) 1547633585.967 * * [misc]simplify: iters left: 4 (16 enodes) 1547633585.971 * * [misc]simplify: iters left: 3 (18 enodes) 1547633585.974 * * [misc]simplify: iters left: 2 (23 enodes) 1547633585.980 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633585.980 * [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))))))) 1547633585.980 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633585.980 * * [misc]simplify: iters left: 6 (13 enodes) 1547633585.984 * * [misc]simplify: iters left: 5 (19 enodes) 1547633585.990 * * [misc]simplify: iters left: 4 (28 enodes) 1547633585.998 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.006 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547633586.006 * [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))))))) 1547633586.006 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1547633586.006 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1547633586.007 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.010 * * [misc]simplify: iters left: 5 (16 enodes) 1547633586.015 * * [misc]simplify: iters left: 4 (22 enodes) 1547633586.021 * * [misc]simplify: iters left: 3 (23 enodes) 1547633586.027 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1547633586.027 * [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))))))) 1547633586.027 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.027 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.031 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.036 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.043 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.049 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.049 * [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))))))) 1547633586.049 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1547633586.050 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1547633586.050 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.053 * * [misc]simplify: iters left: 5 (16 enodes) 1547633586.058 * * [misc]simplify: iters left: 4 (22 enodes) 1547633586.064 * * [misc]simplify: iters left: 3 (23 enodes) 1547633586.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1547633586.069 * [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))))))) 1547633586.070 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.070 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.074 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.079 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.085 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.092 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.092 * [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))))))) 1547633586.092 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1547633586.092 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633586.092 * * [misc]simplify: iters left: 6 (10 enodes) 1547633586.095 * * [misc]simplify: iters left: 5 (12 enodes) 1547633586.099 * * [misc]simplify: iters left: 4 (15 enodes) 1547633586.104 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633586.104 * [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))))))) 1547633586.104 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.104 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.109 * * [misc]simplify: iters left: 5 (14 enodes) 1547633586.113 * * [misc]simplify: iters left: 4 (17 enodes) 1547633586.119 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.119 * [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))))))) 1547633586.119 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1547633586.119 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547633586.119 * * [misc]simplify: iters left: 6 (15 enodes) 1547633586.122 * * [misc]simplify: iters left: 5 (23 enodes) 1547633586.127 * * [misc]simplify: iters left: 4 (32 enodes) 1547633586.136 * * [misc]simplify: iters left: 3 (34 enodes) 1547633586.145 * [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)))))) 1547633586.146 * [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)))))))) 1547633586.146 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.146 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.150 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.157 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.164 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.173 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.173 * [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)))))))) 1547633586.173 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1547633586.173 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.173 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.178 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.184 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.192 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.199 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.200 * [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)))))))) 1547633586.200 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.200 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.204 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.210 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.218 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.226 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.226 * [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)))))))) 1547633586.226 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1547633586.227 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1547633586.227 * * [misc]simplify: iters left: 4 (5 enodes) 1547633586.228 * * [misc]simplify: iters left: 3 (7 enodes) 1547633586.231 * * [misc]simplify: iters left: 2 (9 enodes) 1547633586.232 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633586.233 * [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))))))) 1547633586.233 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.233 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.237 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.243 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.251 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.260 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547633586.260 * [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))))))) 1547633586.261 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1547633586.261 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1547633586.261 * * [misc]simplify: iters left: 6 (9 enodes) 1547633586.264 * * [misc]simplify: iters left: 5 (16 enodes) 1547633586.269 * * [misc]simplify: iters left: 4 (22 enodes) 1547633586.275 * * [misc]simplify: iters left: 3 (23 enodes) 1547633586.280 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1547633586.280 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1547633586.281 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.281 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.284 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.289 * * [misc]simplify: iters left: 4 (23 enodes) 1547633586.296 * * [misc]simplify: iters left: 3 (24 enodes) 1547633586.302 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547633586.302 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1547633586.302 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1547633586.302 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1547633586.302 * * [misc]simplify: iters left: 6 (9 enodes) 1547633586.305 * * [misc]simplify: iters left: 5 (16 enodes) 1547633586.309 * * [misc]simplify: iters left: 4 (22 enodes) 1547633586.315 * * [misc]simplify: iters left: 3 (23 enodes) 1547633586.321 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1547633586.321 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1547633586.321 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.321 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.325 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.330 * * [misc]simplify: iters left: 4 (23 enodes) 1547633586.336 * * [misc]simplify: iters left: 3 (24 enodes) 1547633586.342 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547633586.342 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1547633586.342 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1547633586.343 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1547633586.343 * * [misc]simplify: iters left: 6 (9 enodes) 1547633586.346 * * [misc]simplify: iters left: 5 (13 enodes) 1547633586.349 * * [misc]simplify: iters left: 4 (16 enodes) 1547633586.354 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1547633586.354 * [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))))))) 1547633586.354 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.354 * * [misc]simplify: iters left: 6 (10 enodes) 1547633586.357 * * [misc]simplify: iters left: 5 (13 enodes) 1547633586.361 * * [misc]simplify: iters left: 4 (16 enodes) 1547633586.366 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.366 * [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))))))) 1547633586.366 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1547633586.367 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547633586.367 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.369 * * [misc]simplify: iters left: 5 (24 enodes) 1547633586.373 * * [misc]simplify: iters left: 4 (33 enodes) 1547633586.377 * * [misc]simplify: iters left: 3 (34 enodes) 1547633586.381 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1547633586.382 * [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)))))))) 1547633586.382 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.382 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.384 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.387 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.391 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.395 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.395 * [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)))))))) 1547633586.395 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1547633586.396 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.396 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.398 * * [misc]simplify: iters left: 5 (21 enodes) 1547633586.402 * * [misc]simplify: iters left: 4 (30 enodes) 1547633586.410 * * [misc]simplify: iters left: 3 (31 enodes) 1547633586.418 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1547633586.418 * [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)))))))) 1547633586.418 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.419 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.423 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.429 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.437 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.445 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.445 * [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)))))))) 1547633586.445 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1547633586.445 * [enter]simplify: Simplifying (/ 1 1) 1547633586.445 * * [misc]simplify: iters left: 2 (2 enodes) 1547633586.446 * * [misc]simplify: iters left: 1 (4 enodes) 1547633586.447 * [exit]simplify: Simplified to 1 1547633586.447 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1547633586.447 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.447 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.451 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.456 * * [misc]simplify: iters left: 4 (27 enodes) 1547633586.464 * * [misc]simplify: iters left: 3 (29 enodes) 1547633586.471 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.471 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1547633586.471 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1547633586.471 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1547633586.471 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1547633586.472 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1547633586.472 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633586.472 * * [misc]simplify: iters left: 5 (9 enodes) 1547633586.475 * * [misc]simplify: iters left: 4 (15 enodes) 1547633586.480 * * [misc]simplify: iters left: 3 (21 enodes) 1547633586.486 * * [misc]simplify: iters left: 2 (22 enodes) 1547633586.491 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633586.491 * [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)))))) 1547633586.491 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1547633586.492 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1547633586.492 * * [misc]simplify: iters left: 5 (9 enodes) 1547633586.495 * * [misc]simplify: iters left: 4 (15 enodes) 1547633586.499 * * [misc]simplify: iters left: 3 (21 enodes) 1547633586.502 * * [misc]simplify: iters left: 2 (22 enodes) 1547633586.505 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1547633586.505 * [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)))))) 1547633586.505 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1547633586.505 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547633586.505 * * [misc]simplify: iters left: 5 (8 enodes) 1547633586.507 * * [misc]simplify: iters left: 4 (11 enodes) 1547633586.508 * * [misc]simplify: iters left: 3 (14 enodes) 1547633586.510 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547633586.510 * [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)))))) 1547633586.510 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1547633586.511 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.511 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.512 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.515 * * [misc]simplify: iters left: 4 (26 enodes) 1547633586.519 * * [misc]simplify: iters left: 3 (27 enodes) 1547633586.522 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547633586.522 * [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))))))) 1547633586.522 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1547633586.523 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.523 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.524 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.527 * * [misc]simplify: iters left: 4 (26 enodes) 1547633586.531 * * [misc]simplify: iters left: 3 (27 enodes) 1547633586.534 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1547633586.534 * [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))))))) 1547633586.534 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1547633586.534 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1547633586.534 * * [misc]simplify: iters left: 5 (10 enodes) 1547633586.536 * * [misc]simplify: iters left: 4 (16 enodes) 1547633586.538 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.542 * * [misc]simplify: iters left: 2 (26 enodes) 1547633586.545 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1547633586.545 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1547633586.545 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1547633586.545 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633586.545 * * [misc]simplify: iters left: 4 (4 enodes) 1547633586.546 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633586.546 * [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)))))) 1547633586.546 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1547633586.546 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547633586.546 * * [misc]simplify: iters left: 2 (3 enodes) 1547633586.547 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633586.547 * [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)))))) 1547633586.547 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1547633586.547 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1547633586.547 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547633586.547 * * [misc]simplify: iters left: 5 (8 enodes) 1547633586.548 * * [misc]simplify: iters left: 4 (12 enodes) 1547633586.550 * * [misc]simplify: iters left: 3 (18 enodes) 1547633586.553 * * [misc]simplify: iters left: 2 (20 enodes) 1547633586.555 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547633586.555 * [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))))) 1547633586.555 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1547633586.555 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1547633586.555 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1547633586.555 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1547633586.556 * [enter]simplify: Simplifying (- 1) 1547633586.556 * * [misc]simplify: iters left: 2 (2 enodes) 1547633586.557 * * [misc]simplify: iters left: 1 (5 enodes) 1547633586.558 * [exit]simplify: Simplified to -1 1547633586.558 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1547633586.558 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1547633586.558 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1547633586.558 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1547633586.558 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1547633586.559 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1547633586.559 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.560 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.564 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.570 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.577 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.585 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.585 * [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))))))) 1547633586.585 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1547633586.585 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.585 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.590 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.595 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.603 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.611 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.611 * [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))))))) 1547633586.611 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1547633586.611 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.611 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.615 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.620 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.627 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.635 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.635 * [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)))))) 1547633586.635 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1547633586.635 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.635 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.639 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.644 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.649 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.652 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.652 * [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)))))) 1547633586.652 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1547633586.653 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.653 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.654 * * [misc]simplify: iters left: 5 (14 enodes) 1547633586.656 * * [misc]simplify: iters left: 4 (17 enodes) 1547633586.659 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.659 * [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)))))) 1547633586.659 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1547633586.659 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.659 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.662 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.665 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.669 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.673 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.673 * [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))))))) 1547633586.673 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1547633586.674 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.674 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.676 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.679 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.683 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.688 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.688 * [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))))))) 1547633586.688 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1547633586.688 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.688 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.690 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.693 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.697 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.701 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547633586.701 * [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)))))) 1547633586.701 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1547633586.701 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.701 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.703 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.708 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.713 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.716 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.716 * [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)))))) 1547633586.717 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1547633586.717 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.717 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.719 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.722 * * [misc]simplify: iters left: 4 (24 enodes) 1547633586.725 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.729 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1547633586.729 * [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)))))) 1547633586.729 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1547633586.729 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.729 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.731 * * [misc]simplify: iters left: 5 (14 enodes) 1547633586.734 * * [misc]simplify: iters left: 4 (17 enodes) 1547633586.736 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.736 * [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)))))) 1547633586.736 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1547633586.737 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.737 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.739 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.742 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.748 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.756 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.756 * [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))))))) 1547633586.756 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1547633586.757 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.757 * * [misc]simplify: iters left: 6 (14 enodes) 1547633586.761 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.768 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.775 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.783 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1547633586.783 * [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))))))) 1547633586.783 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1547633586.784 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.784 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.788 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.794 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.802 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.810 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1547633586.810 * [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)))))) 1547633586.810 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1547633586.810 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.811 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.814 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.819 * * [misc]simplify: iters left: 4 (23 enodes) 1547633586.826 * * [misc]simplify: iters left: 3 (24 enodes) 1547633586.832 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547633586.832 * [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)))))) 1547633586.832 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1547633586.832 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1547633586.833 * * [misc]simplify: iters left: 6 (11 enodes) 1547633586.836 * * [misc]simplify: iters left: 5 (17 enodes) 1547633586.842 * * [misc]simplify: iters left: 4 (23 enodes) 1547633586.848 * * [misc]simplify: iters left: 3 (24 enodes) 1547633586.854 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1547633586.854 * [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)))))) 1547633586.854 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1547633586.855 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.855 * * [misc]simplify: iters left: 6 (10 enodes) 1547633586.858 * * [misc]simplify: iters left: 5 (13 enodes) 1547633586.862 * * [misc]simplify: iters left: 4 (16 enodes) 1547633586.867 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633586.867 * [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)))))) 1547633586.867 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1547633586.867 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.868 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.872 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.877 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.885 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.893 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.893 * [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))))))) 1547633586.893 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1547633586.893 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1547633586.893 * * [misc]simplify: iters left: 6 (13 enodes) 1547633586.898 * * [misc]simplify: iters left: 5 (19 enodes) 1547633586.904 * * [misc]simplify: iters left: 4 (28 enodes) 1547633586.911 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.919 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1547633586.919 * [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))))))) 1547633586.919 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1547633586.919 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.920 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.923 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.929 * * [misc]simplify: iters left: 4 (27 enodes) 1547633586.934 * * [misc]simplify: iters left: 3 (29 enodes) 1547633586.938 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547633586.938 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1547633586.938 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.938 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.940 * * [misc]simplify: iters left: 5 (18 enodes) 1547633586.943 * * [misc]simplify: iters left: 4 (27 enodes) 1547633586.947 * * [misc]simplify: iters left: 3 (29 enodes) 1547633586.951 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1547633586.951 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1547633586.951 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1547633586.951 * * [misc]simplify: iters left: 6 (12 enodes) 1547633586.953 * * [misc]simplify: iters left: 5 (20 enodes) 1547633586.956 * * [misc]simplify: iters left: 4 (29 enodes) 1547633586.960 * * [misc]simplify: iters left: 3 (30 enodes) 1547633586.964 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1547633586.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1547633586.964 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1547633586.964 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1547633586.964 * * [misc]simplify: iters left: 5 (8 enodes) 1547633586.965 * * [misc]simplify: iters left: 4 (12 enodes) 1547633586.967 * * [misc]simplify: iters left: 3 (18 enodes) 1547633586.972 * * [misc]simplify: iters left: 2 (20 enodes) 1547633586.978 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1547633586.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1547633586.978 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1547633586.978 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1547633586.978 * * [misc]simplify: iters left: 5 (10 enodes) 1547633586.982 * * [misc]simplify: iters left: 4 (16 enodes) 1547633586.987 * * [misc]simplify: iters left: 3 (25 enodes) 1547633586.993 * * [misc]simplify: iters left: 2 (26 enodes) 1547633587.000 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1547633587.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1547633587.000 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1547633587.001 * [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))))) 1547633587.002 * * [misc]simplify: iters left: 6 (37 enodes) 1547633587.017 * * [misc]simplify: iters left: 5 (108 enodes) 1547633587.062 * * [misc]simplify: iters left: 4 (368 enodes) 1547633587.302 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1547633587.302 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1547633587.303 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1547633587.303 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1547633587.303 * * [misc]simplify: iters left: 6 (15 enodes) 1547633587.309 * * [misc]simplify: iters left: 5 (33 enodes) 1547633587.320 * * [misc]simplify: iters left: 4 (64 enodes) 1547633587.344 * * [misc]simplify: iters left: 3 (179 enodes) 1547633587.472 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1547633587.472 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1547633587.472 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1547633587.472 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1547633587.472 * * [misc]simplify: iters left: 6 (15 enodes) 1547633587.478 * * [misc]simplify: iters left: 5 (30 enodes) 1547633587.489 * * [misc]simplify: iters left: 4 (65 enodes) 1547633587.516 * * [misc]simplify: iters left: 3 (208 enodes) 1547633587.694 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1547633587.694 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1547633587.694 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1547633587.695 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633587.695 * * [misc]simplify: iters left: 4 (5 enodes) 1547633587.697 * * [misc]simplify: iters left: 3 (9 enodes) 1547633587.700 * * [misc]simplify: iters left: 2 (15 enodes) 1547633587.704 * * [misc]simplify: iters left: 1 (17 enodes) 1547633587.708 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633587.708 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547633587.708 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1547633587.708 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633587.708 * * [misc]simplify: iters left: 4 (5 enodes) 1547633587.710 * * [misc]simplify: iters left: 3 (9 enodes) 1547633587.712 * * [misc]simplify: iters left: 2 (15 enodes) 1547633587.716 * * [misc]simplify: iters left: 1 (17 enodes) 1547633587.720 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633587.721 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547633587.721 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1547633587.721 * [enter]simplify: Simplifying (* 2 (* n PI)) 1547633587.721 * * [misc]simplify: iters left: 4 (5 enodes) 1547633587.723 * * [misc]simplify: iters left: 3 (9 enodes) 1547633587.724 * * [misc]simplify: iters left: 2 (15 enodes) 1547633587.726 * * [misc]simplify: iters left: 1 (17 enodes) 1547633587.728 * [exit]simplify: Simplified to (* (* PI n) 2) 1547633587.728 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1547633587.728 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1547633587.729 * [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))))))))))) 1547633587.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547633587.729 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1547633587.729 * [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)))))))))))) 1547633587.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547633587.729 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1547633587.729 * [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)))))))))))) 1547633587.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1547633587.729 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1547633587.729 * [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))))))))))))) 1547633587.729 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633587.729 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1547633587.730 * [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)))))))) 1547633587.730 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633587.730 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1547633587.730 * [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))))))))))) 1547633587.730 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633587.730 * * * [misc]progress: adding candidates to table 1547633589.567 * * [misc]progress: iteration 3 / 4 1547633589.567 * * * [misc]progress: picking best candidate 1547633589.606 * * * * [misc]pick: Picked # 1547633589.606 * * * [misc]progress: localizing error 1547633589.646 * * * [misc]progress: generating rewritten candidates 1547633589.646 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1547633589.649 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1547633589.650 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1547633589.663 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1547633589.683 * * * [misc]progress: generating series expansions 1547633589.684 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1547633589.684 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1547633589.684 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1547633589.684 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.684 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.684 * [misc]taylor: Taking taylor expansion of k in k 1547633589.684 * [misc]backup-simplify: Simplify 0 into 0 1547633589.684 * [misc]backup-simplify: Simplify 1 into 1 1547633589.684 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633589.684 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.684 * [misc]backup-simplify: Simplify 2 into 2 1547633589.684 * [misc]taylor: Taking taylor expansion of n in k 1547633589.684 * [misc]backup-simplify: Simplify n into n 1547633589.685 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633589.685 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633589.685 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.685 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.685 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.685 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633589.686 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633589.686 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.686 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.686 * [misc]taylor: Taking taylor expansion of k in n 1547633589.686 * [misc]backup-simplify: Simplify k into k 1547633589.686 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.686 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.686 * [misc]backup-simplify: Simplify 2 into 2 1547633589.686 * [misc]taylor: Taking taylor expansion of n in n 1547633589.686 * [misc]backup-simplify: Simplify 0 into 0 1547633589.686 * [misc]backup-simplify: Simplify 1 into 1 1547633589.686 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.686 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.687 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.687 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633589.687 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633589.687 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633589.687 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.688 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633589.688 * [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)))) 1547633589.688 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.688 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.688 * [misc]taylor: Taking taylor expansion of k in n 1547633589.688 * [misc]backup-simplify: Simplify k into k 1547633589.688 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.688 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.688 * [misc]backup-simplify: Simplify 2 into 2 1547633589.688 * [misc]taylor: Taking taylor expansion of n in n 1547633589.688 * [misc]backup-simplify: Simplify 0 into 0 1547633589.688 * [misc]backup-simplify: Simplify 1 into 1 1547633589.689 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.689 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.689 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.689 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633589.689 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633589.689 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633589.690 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.690 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633589.690 * [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)))) 1547633589.690 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1547633589.690 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1547633589.690 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1547633589.690 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547633589.690 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.690 * [misc]backup-simplify: Simplify 2 into 2 1547633589.691 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.691 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633589.691 * [misc]taylor: Taking taylor expansion of n in k 1547633589.691 * [misc]backup-simplify: Simplify n into n 1547633589.691 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633589.691 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.691 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.691 * [misc]taylor: Taking taylor expansion of k in k 1547633589.691 * [misc]backup-simplify: Simplify 0 into 0 1547633589.691 * [misc]backup-simplify: Simplify 1 into 1 1547633589.691 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1547633589.691 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.692 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.692 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.692 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1547633589.692 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547633589.692 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547633589.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633589.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547633589.696 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.696 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.697 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1547633589.698 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633589.698 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.698 * [misc]backup-simplify: Simplify 0 into 0 1547633589.698 * [misc]backup-simplify: Simplify 0 into 0 1547633589.698 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633589.699 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.699 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633589.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547633589.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.703 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1547633589.703 * [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))))) 1547633589.704 * [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))))) 1547633589.704 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633589.709 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633589.709 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547633589.710 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.710 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1547633589.713 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547633589.713 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.713 * [misc]backup-simplify: Simplify 0 into 0 1547633589.713 * [misc]backup-simplify: Simplify 0 into 0 1547633589.713 * [misc]backup-simplify: Simplify 0 into 0 1547633589.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.713 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.718 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633589.719 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547633589.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.720 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1547633589.721 * [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))))) 1547633589.722 * [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))))) 1547633589.723 * [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))))) 1547633589.723 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.723 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547633589.723 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633589.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633589.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633589.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633589.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.724 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.724 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.724 * [misc]taylor: Taking taylor expansion of k in k 1547633589.724 * [misc]backup-simplify: Simplify 0 into 0 1547633589.724 * [misc]backup-simplify: Simplify 1 into 1 1547633589.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.724 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633589.724 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633589.724 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.724 * [misc]backup-simplify: Simplify 2 into 2 1547633589.724 * [misc]taylor: Taking taylor expansion of n in k 1547633589.724 * [misc]backup-simplify: Simplify n into n 1547633589.724 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633589.724 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633589.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.724 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.724 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633589.724 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.724 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633589.724 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633589.724 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of k in n 1547633589.725 * [misc]backup-simplify: Simplify k into k 1547633589.725 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633589.725 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633589.725 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.725 * [misc]backup-simplify: Simplify 2 into 2 1547633589.725 * [misc]taylor: Taking taylor expansion of n in n 1547633589.725 * [misc]backup-simplify: Simplify 0 into 0 1547633589.725 * [misc]backup-simplify: Simplify 1 into 1 1547633589.725 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633589.725 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.725 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633589.725 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633589.725 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633589.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633589.726 * [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))) 1547633589.726 * [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)))) 1547633589.726 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of k in n 1547633589.726 * [misc]backup-simplify: Simplify k into k 1547633589.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633589.726 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633589.726 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.726 * [misc]backup-simplify: Simplify 2 into 2 1547633589.726 * [misc]taylor: Taking taylor expansion of n in n 1547633589.726 * [misc]backup-simplify: Simplify 0 into 0 1547633589.726 * [misc]backup-simplify: Simplify 1 into 1 1547633589.726 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633589.726 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.726 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633589.726 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633589.727 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633589.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633589.727 * [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))) 1547633589.727 * [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)))) 1547633589.727 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1547633589.727 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1547633589.727 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633589.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.727 * [misc]taylor: Taking taylor expansion of k in k 1547633589.727 * [misc]backup-simplify: Simplify 0 into 0 1547633589.727 * [misc]backup-simplify: Simplify 1 into 1 1547633589.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.728 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1547633589.728 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547633589.728 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.728 * [misc]backup-simplify: Simplify 2 into 2 1547633589.728 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.728 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633589.728 * [misc]taylor: Taking taylor expansion of n in k 1547633589.728 * [misc]backup-simplify: Simplify n into n 1547633589.728 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633589.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.728 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.728 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.728 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633589.728 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1547633589.728 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1547633589.729 * [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)))) 1547633589.729 * [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)))) 1547633589.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633589.731 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633589.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633589.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633589.731 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633589.731 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633589.732 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633589.732 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.732 * [misc]backup-simplify: Simplify 0 into 0 1547633589.732 * [misc]backup-simplify: Simplify 0 into 0 1547633589.732 * [misc]backup-simplify: Simplify 0 into 0 1547633589.733 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633589.735 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633589.735 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633589.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633589.736 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.736 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633589.736 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547633589.738 * [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 1547633589.738 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.738 * [misc]backup-simplify: Simplify 0 into 0 1547633589.738 * [misc]backup-simplify: Simplify 0 into 0 1547633589.738 * [misc]backup-simplify: Simplify 0 into 0 1547633589.738 * [misc]backup-simplify: Simplify 0 into 0 1547633589.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633589.742 * [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 1547633589.742 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633589.743 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633589.743 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.743 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633589.743 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1547633589.746 * [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 1547633589.746 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.746 * [misc]backup-simplify: Simplify 0 into 0 1547633589.746 * [misc]backup-simplify: Simplify 0 into 0 1547633589.746 * [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)))) 1547633589.746 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.746 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547633589.746 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.746 * [misc]taylor: Taking taylor expansion of k in k 1547633589.746 * [misc]backup-simplify: Simplify 0 into 0 1547633589.746 * [misc]backup-simplify: Simplify 1 into 1 1547633589.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.747 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633589.747 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633589.747 * [misc]taylor: Taking taylor expansion of -2 in k 1547633589.747 * [misc]backup-simplify: Simplify -2 into -2 1547633589.747 * [misc]taylor: Taking taylor expansion of n in k 1547633589.747 * [misc]backup-simplify: Simplify n into n 1547633589.747 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633589.747 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633589.747 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.747 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.747 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633589.747 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.747 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633589.747 * [misc]taylor: Taking taylor expansion of k in n 1547633589.747 * [misc]backup-simplify: Simplify k into k 1547633589.747 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633589.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.747 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633589.748 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633589.748 * [misc]taylor: Taking taylor expansion of -2 in n 1547633589.748 * [misc]backup-simplify: Simplify -2 into -2 1547633589.748 * [misc]taylor: Taking taylor expansion of n in n 1547633589.748 * [misc]backup-simplify: Simplify 0 into 0 1547633589.748 * [misc]backup-simplify: Simplify 1 into 1 1547633589.748 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633589.748 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633589.748 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633589.748 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633589.749 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633589.749 * [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))) 1547633589.749 * [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)))) 1547633589.749 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633589.749 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633589.749 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633589.749 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633589.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633589.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633589.750 * [misc]taylor: Taking taylor expansion of k in n 1547633589.750 * [misc]backup-simplify: Simplify k into k 1547633589.750 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633589.750 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.750 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633589.750 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633589.750 * [misc]taylor: Taking taylor expansion of -2 in n 1547633589.750 * [misc]backup-simplify: Simplify -2 into -2 1547633589.750 * [misc]taylor: Taking taylor expansion of n in n 1547633589.750 * [misc]backup-simplify: Simplify 0 into 0 1547633589.750 * [misc]backup-simplify: Simplify 1 into 1 1547633589.750 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633589.750 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633589.750 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633589.750 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633589.751 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633589.751 * [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))) 1547633589.751 * [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)))) 1547633589.752 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of k in k 1547633589.752 * [misc]backup-simplify: Simplify 0 into 0 1547633589.752 * [misc]backup-simplify: Simplify 1 into 1 1547633589.752 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.752 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of (log -2) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of -2 in k 1547633589.752 * [misc]backup-simplify: Simplify -2 into -2 1547633589.752 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633589.752 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633589.752 * [misc]taylor: Taking taylor expansion of n in k 1547633589.752 * [misc]backup-simplify: Simplify n into n 1547633589.752 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633589.753 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.753 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.753 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633589.753 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1547633589.753 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1547633589.754 * [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)))) 1547633589.754 * [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)))) 1547633589.754 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633589.757 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633589.757 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633589.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633589.757 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.758 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633589.758 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633589.760 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633589.760 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.760 * [misc]backup-simplify: Simplify 0 into 0 1547633589.760 * [misc]backup-simplify: Simplify 0 into 0 1547633589.760 * [misc]backup-simplify: Simplify 0 into 0 1547633589.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633589.765 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547633589.765 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633589.765 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633589.765 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633589.766 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547633589.768 * [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 1547633589.768 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.768 * [misc]backup-simplify: Simplify 0 into 0 1547633589.769 * [misc]backup-simplify: Simplify 0 into 0 1547633589.769 * [misc]backup-simplify: Simplify 0 into 0 1547633589.769 * [misc]backup-simplify: Simplify 0 into 0 1547633589.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633589.776 * [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 1547633589.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633589.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633589.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633589.778 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1547633589.781 * [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 1547633589.781 * [misc]taylor: Taking taylor expansion of 0 in k 1547633589.781 * [misc]backup-simplify: Simplify 0 into 0 1547633589.782 * [misc]backup-simplify: Simplify 0 into 0 1547633589.782 * [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))))) 1547633589.782 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1547633589.782 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1547633589.782 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1547633589.782 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633589.782 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633589.782 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633589.782 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.782 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.782 * [misc]taylor: Taking taylor expansion of k in k 1547633589.783 * [misc]backup-simplify: Simplify 0 into 0 1547633589.783 * [misc]backup-simplify: Simplify 1 into 1 1547633589.783 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.783 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.783 * [misc]backup-simplify: Simplify PI into PI 1547633589.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.783 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.783 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.784 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.784 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.785 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633589.785 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.785 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.785 * [misc]taylor: Taking taylor expansion of k in k 1547633589.785 * [misc]backup-simplify: Simplify 0 into 0 1547633589.785 * [misc]backup-simplify: Simplify 1 into 1 1547633589.785 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.785 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.785 * [misc]backup-simplify: Simplify PI into PI 1547633589.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.786 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.786 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.786 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.787 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.787 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633589.788 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1547633589.790 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633589.790 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633589.791 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.791 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.792 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547633589.795 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633589.796 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633589.800 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633589.801 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.801 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547633589.806 * [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))) 1547633589.808 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1547633589.811 * [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)))) 1547633589.811 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.811 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1547633589.811 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of k in k 1547633589.811 * [misc]backup-simplify: Simplify 0 into 0 1547633589.811 * [misc]backup-simplify: Simplify 1 into 1 1547633589.811 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.811 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.811 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.812 * [misc]backup-simplify: Simplify PI into PI 1547633589.812 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.812 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.812 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.813 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633589.813 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.813 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633589.813 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633589.813 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633589.813 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633589.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.813 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.813 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.814 * [misc]taylor: Taking taylor expansion of k in k 1547633589.814 * [misc]backup-simplify: Simplify 0 into 0 1547633589.814 * [misc]backup-simplify: Simplify 1 into 1 1547633589.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.814 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.814 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.814 * [misc]backup-simplify: Simplify PI into PI 1547633589.814 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.814 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.814 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.815 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.815 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633589.815 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.816 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.816 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1547633589.816 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.816 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1547633589.816 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.816 * [misc]taylor: Taking taylor expansion of k in k 1547633589.816 * [misc]backup-simplify: Simplify 0 into 0 1547633589.817 * [misc]backup-simplify: Simplify 1 into 1 1547633589.817 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.817 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.817 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.817 * [misc]backup-simplify: Simplify PI into PI 1547633589.817 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.817 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.818 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.818 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.818 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.818 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633589.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633589.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633589.819 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633589.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633589.819 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.819 * [misc]taylor: Taking taylor expansion of k in k 1547633589.819 * [misc]backup-simplify: Simplify 0 into 0 1547633589.819 * [misc]backup-simplify: Simplify 1 into 1 1547633589.819 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.819 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.819 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.819 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.819 * [misc]backup-simplify: Simplify PI into PI 1547633589.819 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.819 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633589.820 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.820 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.820 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.821 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify 0 into 0 1547633589.821 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1547633589.821 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1547633589.821 * [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))) 1547633589.821 * [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 1547633589.822 * [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 1547633589.822 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.822 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.822 * [misc]taylor: Taking taylor expansion of k in n 1547633589.822 * [misc]backup-simplify: Simplify k into k 1547633589.822 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.822 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.822 * [misc]backup-simplify: Simplify 2 into 2 1547633589.822 * [misc]taylor: Taking taylor expansion of n in n 1547633589.822 * [misc]backup-simplify: Simplify 0 into 0 1547633589.822 * [misc]backup-simplify: Simplify 1 into 1 1547633589.822 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.822 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.823 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.823 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633589.823 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633589.823 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633589.823 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.826 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633589.826 * [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)))) 1547633589.827 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.827 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633589.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.827 * [misc]taylor: Taking taylor expansion of k in n 1547633589.827 * [misc]backup-simplify: Simplify k into k 1547633589.827 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633589.827 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.827 * [misc]backup-simplify: Simplify PI into PI 1547633589.827 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.827 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633589.828 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633589.828 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633589.828 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547633589.828 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547633589.828 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633589.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633589.828 * [misc]taylor: Taking taylor expansion of k in n 1547633589.828 * [misc]backup-simplify: Simplify k into k 1547633589.828 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633589.829 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633589.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633589.829 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633589.829 * [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 1547633589.829 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.829 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.829 * [misc]taylor: Taking taylor expansion of k in k 1547633589.829 * [misc]backup-simplify: Simplify 0 into 0 1547633589.829 * [misc]backup-simplify: Simplify 1 into 1 1547633589.829 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633589.829 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.829 * [misc]backup-simplify: Simplify 2 into 2 1547633589.829 * [misc]taylor: Taking taylor expansion of n in k 1547633589.829 * [misc]backup-simplify: Simplify n into n 1547633589.829 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633589.829 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633589.830 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.830 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.830 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.830 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633589.830 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633589.830 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633589.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633589.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633589.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.830 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.830 * [misc]taylor: Taking taylor expansion of k in k 1547633589.830 * [misc]backup-simplify: Simplify 0 into 0 1547633589.830 * [misc]backup-simplify: Simplify 1 into 1 1547633589.831 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.831 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.831 * [misc]backup-simplify: Simplify PI into PI 1547633589.831 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.831 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.831 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.831 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.832 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.833 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633589.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633589.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.833 * [misc]taylor: Taking taylor expansion of k in k 1547633589.833 * [misc]backup-simplify: Simplify 0 into 0 1547633589.833 * [misc]backup-simplify: Simplify 1 into 1 1547633589.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.833 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.833 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633589.833 * [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 1547633589.834 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.834 * [misc]taylor: Taking taylor expansion of k in k 1547633589.834 * [misc]backup-simplify: Simplify 0 into 0 1547633589.834 * [misc]backup-simplify: Simplify 1 into 1 1547633589.834 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633589.834 * [misc]taylor: Taking taylor expansion of 2 in k 1547633589.834 * [misc]backup-simplify: Simplify 2 into 2 1547633589.834 * [misc]taylor: Taking taylor expansion of n in k 1547633589.834 * [misc]backup-simplify: Simplify n into n 1547633589.834 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633589.834 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633589.834 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.835 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.835 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.835 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633589.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633589.835 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.835 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633589.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633589.835 * [misc]taylor: Taking taylor expansion of k in k 1547633589.835 * [misc]backup-simplify: Simplify 0 into 0 1547633589.835 * [misc]backup-simplify: Simplify 1 into 1 1547633589.835 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633589.835 * [misc]taylor: Taking taylor expansion of PI in k 1547633589.835 * [misc]backup-simplify: Simplify PI into PI 1547633589.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.836 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633589.836 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.836 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633589.837 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633589.837 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633589.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633589.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633589.837 * [misc]taylor: Taking taylor expansion of k in k 1547633589.837 * [misc]backup-simplify: Simplify 0 into 0 1547633589.837 * [misc]backup-simplify: Simplify 1 into 1 1547633589.838 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633589.838 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.838 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633589.839 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547633589.839 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1547633589.839 * [misc]taylor: Taking taylor expansion of 0 in n 1547633589.839 * [misc]backup-simplify: Simplify 0 into 0 1547633589.839 * [misc]backup-simplify: Simplify 0 into 0 1547633589.842 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633589.842 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633589.842 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.842 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547633589.847 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633589.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547633589.848 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547633589.848 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633589.848 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633589.848 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633589.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547633589.849 * [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)))) 1547633589.850 * [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)))))) 1547633589.852 * [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))))) 1547633589.852 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547633589.852 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633589.852 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.852 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.852 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633589.852 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.852 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.852 * [misc]backup-simplify: Simplify 2 into 2 1547633589.852 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.853 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633589.853 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633589.853 * [misc]taylor: Taking taylor expansion of n in n 1547633589.853 * [misc]backup-simplify: Simplify 0 into 0 1547633589.853 * [misc]backup-simplify: Simplify 1 into 1 1547633589.853 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.853 * [misc]backup-simplify: Simplify PI into PI 1547633589.853 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633589.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633589.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.854 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.854 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633589.855 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.855 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.855 * [misc]backup-simplify: Simplify 0 into 0 1547633589.855 * [misc]backup-simplify: Simplify 0 into 0 1547633589.855 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633589.856 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633589.860 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633589.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.860 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547633589.864 * [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))) 1547633589.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547633589.865 * [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 1547633589.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.865 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547633589.866 * [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))) 1547633589.868 * [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))))))) 1547633589.871 * [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))))))))) 1547633589.871 * [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 1547633589.871 * [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 1547633589.871 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547633589.871 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.871 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.871 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547633589.871 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547633589.871 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.871 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.871 * [misc]backup-simplify: Simplify 2 into 2 1547633589.871 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.871 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.871 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633589.871 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.871 * [misc]backup-simplify: Simplify PI into PI 1547633589.871 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.872 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.872 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.872 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.872 * [misc]backup-simplify: Simplify PI into PI 1547633589.872 * [misc]taylor: Taking taylor expansion of n in n 1547633589.872 * [misc]backup-simplify: Simplify 0 into 0 1547633589.872 * [misc]backup-simplify: Simplify 1 into 1 1547633589.872 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.872 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.872 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.873 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.873 * [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 1547633589.873 * [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 1547633589.873 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633589.873 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.873 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633589.873 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.873 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.873 * [misc]backup-simplify: Simplify 2 into 2 1547633589.873 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.873 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.873 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633589.873 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633589.873 * [misc]taylor: Taking taylor expansion of n in n 1547633589.873 * [misc]backup-simplify: Simplify 0 into 0 1547633589.873 * [misc]backup-simplify: Simplify 1 into 1 1547633589.873 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.873 * [misc]backup-simplify: Simplify PI into PI 1547633589.873 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633589.874 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633589.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.874 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.874 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.874 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.874 * [misc]backup-simplify: Simplify 2 into 2 1547633589.874 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.874 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.874 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.875 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.875 * [misc]backup-simplify: Simplify 2 into 2 1547633589.875 * [misc]taylor: Taking taylor expansion of n in n 1547633589.875 * [misc]backup-simplify: Simplify 0 into 0 1547633589.875 * [misc]backup-simplify: Simplify 1 into 1 1547633589.875 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.875 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.875 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.875 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.875 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.875 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.875 * [misc]backup-simplify: Simplify PI into PI 1547633589.875 * [misc]taylor: Taking taylor expansion of n in n 1547633589.875 * [misc]backup-simplify: Simplify 0 into 0 1547633589.875 * [misc]backup-simplify: Simplify 1 into 1 1547633589.875 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.876 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.876 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.876 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547633589.877 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547633589.877 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.877 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633589.877 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.877 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.878 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547633589.878 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.878 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.879 * [misc]backup-simplify: Simplify 0 into 0 1547633589.879 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.880 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.881 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.882 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.882 * [misc]backup-simplify: Simplify 0 into 0 1547633589.882 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633589.883 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633589.887 * [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 1547633589.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633589.887 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.888 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1547633589.892 * [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))) 1547633589.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1547633589.894 * [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 1547633589.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633589.895 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1547633589.897 * [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))) 1547633589.902 * [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))))))))) 1547633589.911 * [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))))))))))))))) 1547633589.911 * [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 1547633589.911 * [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 1547633589.911 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547633589.911 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.911 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.911 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547633589.911 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547633589.911 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.911 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.912 * [misc]backup-simplify: Simplify 2 into 2 1547633589.912 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.912 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633589.912 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.912 * [misc]backup-simplify: Simplify PI into PI 1547633589.913 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.913 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.913 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.913 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.913 * [misc]backup-simplify: Simplify PI into PI 1547633589.913 * [misc]taylor: Taking taylor expansion of n in n 1547633589.913 * [misc]backup-simplify: Simplify 0 into 0 1547633589.913 * [misc]backup-simplify: Simplify 1 into 1 1547633589.913 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.914 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.914 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.914 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.914 * [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 1547633589.914 * [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 1547633589.914 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547633589.914 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.915 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.915 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547633589.915 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547633589.915 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.915 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.915 * [misc]backup-simplify: Simplify 2 into 2 1547633589.915 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.915 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.915 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547633589.915 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633589.915 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.915 * [misc]backup-simplify: Simplify PI into PI 1547633589.915 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.915 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.916 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.916 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.916 * [misc]backup-simplify: Simplify PI into PI 1547633589.916 * [misc]taylor: Taking taylor expansion of n in n 1547633589.916 * [misc]backup-simplify: Simplify 0 into 0 1547633589.916 * [misc]backup-simplify: Simplify 1 into 1 1547633589.916 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.917 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.917 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.917 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.917 * [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 1547633589.917 * [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 1547633589.917 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547633589.917 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.917 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.917 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547633589.917 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547633589.917 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.917 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.918 * [misc]backup-simplify: Simplify 2 into 2 1547633589.918 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.918 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.918 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547633589.918 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.918 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.918 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.918 * [misc]backup-simplify: Simplify 2 into 2 1547633589.918 * [misc]taylor: Taking taylor expansion of n in n 1547633589.918 * [misc]backup-simplify: Simplify 0 into 0 1547633589.918 * [misc]backup-simplify: Simplify 1 into 1 1547633589.918 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.918 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.919 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.919 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.919 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.919 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.919 * [misc]backup-simplify: Simplify PI into PI 1547633589.919 * [misc]taylor: Taking taylor expansion of n in n 1547633589.919 * [misc]backup-simplify: Simplify 0 into 0 1547633589.919 * [misc]backup-simplify: Simplify 1 into 1 1547633589.920 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.920 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.920 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.921 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.921 * [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 1547633589.921 * [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 1547633589.921 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1547633589.921 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.921 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.921 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1547633589.921 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547633589.921 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.921 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.921 * [misc]backup-simplify: Simplify 2 into 2 1547633589.921 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.922 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.922 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547633589.922 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.922 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.922 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.922 * [misc]backup-simplify: Simplify 2 into 2 1547633589.922 * [misc]taylor: Taking taylor expansion of n in n 1547633589.922 * [misc]backup-simplify: Simplify 0 into 0 1547633589.922 * [misc]backup-simplify: Simplify 1 into 1 1547633589.922 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.922 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.922 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.922 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633589.922 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.922 * [misc]backup-simplify: Simplify PI into PI 1547633589.923 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633589.923 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633589.923 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633589.923 * [misc]taylor: Taking taylor expansion of n in n 1547633589.923 * [misc]backup-simplify: Simplify 0 into 0 1547633589.923 * [misc]backup-simplify: Simplify 1 into 1 1547633589.923 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.923 * [misc]backup-simplify: Simplify PI into PI 1547633589.923 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633589.924 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633589.924 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.924 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.925 * [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 1547633589.925 * [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 1547633589.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633589.925 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.925 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633589.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.925 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.925 * [misc]backup-simplify: Simplify 2 into 2 1547633589.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.925 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633589.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633589.925 * [misc]taylor: Taking taylor expansion of n in n 1547633589.925 * [misc]backup-simplify: Simplify 0 into 0 1547633589.925 * [misc]backup-simplify: Simplify 1 into 1 1547633589.925 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.925 * [misc]backup-simplify: Simplify PI into PI 1547633589.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633589.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633589.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.927 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.927 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547633589.927 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547633589.927 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633589.927 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633589.927 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547633589.927 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547633589.927 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633589.927 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.927 * [misc]backup-simplify: Simplify 2 into 2 1547633589.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633589.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633589.928 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633589.928 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633589.928 * [misc]taylor: Taking taylor expansion of 2 in n 1547633589.928 * [misc]backup-simplify: Simplify 2 into 2 1547633589.928 * [misc]taylor: Taking taylor expansion of n in n 1547633589.928 * [misc]backup-simplify: Simplify 0 into 0 1547633589.928 * [misc]backup-simplify: Simplify 1 into 1 1547633589.928 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633589.928 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633589.928 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633589.928 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633589.929 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633589.929 * [misc]taylor: Taking taylor expansion of PI in n 1547633589.929 * [misc]backup-simplify: Simplify PI into PI 1547633589.929 * [misc]taylor: Taking taylor expansion of n in n 1547633589.929 * [misc]backup-simplify: Simplify 0 into 0 1547633589.929 * [misc]backup-simplify: Simplify 1 into 1 1547633589.929 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633589.930 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633589.930 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633589.930 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633589.931 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547633589.932 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547633589.932 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.933 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547633589.934 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547633589.935 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547633589.935 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.936 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547633589.937 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547633589.937 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547633589.937 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.938 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.938 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547633589.939 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547633589.940 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1547633589.940 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.940 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633589.940 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.940 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.941 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547633589.941 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547633589.941 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633589.941 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.942 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.943 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633589.943 * [misc]backup-simplify: Simplify (- 0) into 0 1547633589.943 * [misc]backup-simplify: Simplify 0 into 0 1547633589.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633589.947 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547633589.949 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633589.951 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633589.952 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.953 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633589.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633589.955 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633589.955 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633589.955 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547633589.956 * [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)))))) 1547633589.957 * [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)))))) 1547633589.958 * [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)))))) 1547633589.961 * [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))))))) 1547633589.963 * [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))))))) 1547633589.967 * [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))))))))) 1547633589.970 * [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))))))))) 1547633589.976 * [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))))))))) 1547633589.978 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633589.979 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547633589.980 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547633589.983 * [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)))) 1547633589.987 * [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)))) 1547633589.989 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633589.990 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633590.001 * [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))))))))))))))) 1547633590.001 * [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)) 1547633590.001 * [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 1547633590.002 * [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 1547633590.002 * [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 1547633590.002 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.002 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.002 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of k in n 1547633590.002 * [misc]backup-simplify: Simplify k into k 1547633590.002 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.002 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.002 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.002 * [misc]backup-simplify: Simplify PI into PI 1547633590.003 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.003 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.003 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.003 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.003 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633590.004 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.004 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of k in n 1547633590.004 * [misc]backup-simplify: Simplify k into k 1547633590.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.004 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.004 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.004 * [misc]backup-simplify: Simplify 2 into 2 1547633590.004 * [misc]taylor: Taking taylor expansion of n in n 1547633590.004 * [misc]backup-simplify: Simplify 0 into 0 1547633590.004 * [misc]backup-simplify: Simplify 1 into 1 1547633590.004 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.005 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.005 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.005 * [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))) 1547633590.006 * [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)))) 1547633590.006 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633590.006 * [misc]taylor: Taking taylor expansion of k in n 1547633590.006 * [misc]backup-simplify: Simplify k into k 1547633590.006 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633590.006 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633590.006 * [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 1547633590.006 * [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 1547633590.006 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.006 * [misc]taylor: Taking taylor expansion of k in k 1547633590.006 * [misc]backup-simplify: Simplify 0 into 0 1547633590.007 * [misc]backup-simplify: Simplify 1 into 1 1547633590.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.007 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633590.007 * [misc]taylor: Taking taylor expansion of PI in k 1547633590.007 * [misc]backup-simplify: Simplify PI into PI 1547633590.008 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.008 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.008 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.009 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633590.009 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.009 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.009 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.009 * [misc]taylor: Taking taylor expansion of k in k 1547633590.009 * [misc]backup-simplify: Simplify 0 into 0 1547633590.009 * [misc]backup-simplify: Simplify 1 into 1 1547633590.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.010 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633590.010 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633590.010 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.010 * [misc]backup-simplify: Simplify 2 into 2 1547633590.010 * [misc]taylor: Taking taylor expansion of n in k 1547633590.010 * [misc]backup-simplify: Simplify n into n 1547633590.010 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633590.010 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633590.010 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.010 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.010 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633590.011 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.011 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633590.011 * [misc]taylor: Taking taylor expansion of k in k 1547633590.011 * [misc]backup-simplify: Simplify 0 into 0 1547633590.011 * [misc]backup-simplify: Simplify 1 into 1 1547633590.011 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.011 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.011 * [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 1547633590.011 * [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 1547633590.011 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.011 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of k in k 1547633590.012 * [misc]backup-simplify: Simplify 0 into 0 1547633590.012 * [misc]backup-simplify: Simplify 1 into 1 1547633590.012 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.012 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633590.012 * [misc]taylor: Taking taylor expansion of PI in k 1547633590.012 * [misc]backup-simplify: Simplify PI into PI 1547633590.012 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.012 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.013 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.013 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.013 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633590.014 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.014 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of k in k 1547633590.014 * [misc]backup-simplify: Simplify 0 into 0 1547633590.014 * [misc]backup-simplify: Simplify 1 into 1 1547633590.014 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.014 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633590.014 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.014 * [misc]backup-simplify: Simplify 2 into 2 1547633590.014 * [misc]taylor: Taking taylor expansion of n in k 1547633590.014 * [misc]backup-simplify: Simplify n into n 1547633590.014 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633590.015 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633590.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.015 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.015 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.015 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633590.015 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.015 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633590.015 * [misc]taylor: Taking taylor expansion of k in k 1547633590.015 * [misc]backup-simplify: Simplify 0 into 0 1547633590.015 * [misc]backup-simplify: Simplify 1 into 1 1547633590.016 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.016 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.016 * [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))))) 1547633590.017 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547633590.017 * [misc]taylor: Taking taylor expansion of 0 in n 1547633590.017 * [misc]backup-simplify: Simplify 0 into 0 1547633590.017 * [misc]backup-simplify: Simplify 0 into 0 1547633590.017 * [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 1547633590.018 * [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))))))) 1547633590.018 * [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 1547633590.018 * [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 1547633590.018 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.018 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.018 * [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 1547633590.018 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.018 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of k in n 1547633590.018 * [misc]backup-simplify: Simplify k into k 1547633590.018 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.018 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.018 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.018 * [misc]backup-simplify: Simplify PI into PI 1547633590.019 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.019 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.019 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.019 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.019 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633590.020 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.020 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of k in n 1547633590.020 * [misc]backup-simplify: Simplify k into k 1547633590.020 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.020 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.020 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.020 * [misc]backup-simplify: Simplify 2 into 2 1547633590.020 * [misc]taylor: Taking taylor expansion of n in n 1547633590.020 * [misc]backup-simplify: Simplify 0 into 0 1547633590.020 * [misc]backup-simplify: Simplify 1 into 1 1547633590.021 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.021 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.021 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.021 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.021 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.021 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.022 * [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))) 1547633590.022 * [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)))) 1547633590.022 * [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))))) 1547633590.023 * [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)))))) 1547633590.023 * [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))))))) 1547633590.024 * [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))))))) 1547633590.024 * [misc]backup-simplify: Simplify 0 into 0 1547633590.025 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.026 * [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 1547633590.026 * [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))))))) 1547633590.026 * [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 1547633590.026 * [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 1547633590.026 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.026 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.026 * [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 1547633590.026 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.026 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633590.026 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633590.026 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.027 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.027 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.027 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.027 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.027 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.027 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.027 * [misc]taylor: Taking taylor expansion of k in n 1547633590.027 * [misc]backup-simplify: Simplify k into k 1547633590.027 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.027 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.027 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.027 * [misc]backup-simplify: Simplify PI into PI 1547633590.027 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.027 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.027 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.027 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.028 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633590.028 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.028 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.028 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.028 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.028 * [misc]taylor: Taking taylor expansion of k in n 1547633590.029 * [misc]backup-simplify: Simplify k into k 1547633590.029 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.029 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.029 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.029 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.029 * [misc]backup-simplify: Simplify 2 into 2 1547633590.029 * [misc]taylor: Taking taylor expansion of n in n 1547633590.029 * [misc]backup-simplify: Simplify 0 into 0 1547633590.029 * [misc]backup-simplify: Simplify 1 into 1 1547633590.029 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.029 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.029 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.029 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.029 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.030 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.030 * [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))) 1547633590.030 * [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)))) 1547633590.031 * [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))))) 1547633590.031 * [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)))))) 1547633590.032 * [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))))))) 1547633590.032 * [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))))))) 1547633590.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633590.035 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633590.035 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.036 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.036 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.036 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.037 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633590.038 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.040 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633590.040 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.041 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.041 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.042 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547633590.043 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.043 * [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 1547633590.044 * [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 1547633590.044 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.044 * [misc]backup-simplify: Simplify 0 into 0 1547633590.044 * [misc]backup-simplify: Simplify 0 into 0 1547633590.045 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633590.046 * [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 1547633590.047 * [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))))))) 1547633590.047 * [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 1547633590.047 * [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 1547633590.047 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.047 * [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 1547633590.047 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.047 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.047 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of k in n 1547633590.047 * [misc]backup-simplify: Simplify k into k 1547633590.047 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.047 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.047 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.047 * [misc]backup-simplify: Simplify PI into PI 1547633590.048 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.048 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.048 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.048 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.048 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633590.049 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.049 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of k in n 1547633590.049 * [misc]backup-simplify: Simplify k into k 1547633590.049 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.049 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.049 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.049 * [misc]backup-simplify: Simplify 2 into 2 1547633590.049 * [misc]taylor: Taking taylor expansion of n in n 1547633590.049 * [misc]backup-simplify: Simplify 0 into 0 1547633590.049 * [misc]backup-simplify: Simplify 1 into 1 1547633590.049 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.050 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.050 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.050 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.050 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.050 * [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))) 1547633590.051 * [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)))) 1547633590.051 * [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))))) 1547633590.052 * [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)))))) 1547633590.052 * [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))))))) 1547633590.053 * [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))))))) 1547633590.055 * [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)))))))) 1547633590.055 * [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))) 1547633590.055 * [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 1547633590.055 * [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 1547633590.056 * [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 1547633590.056 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.056 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of k in n 1547633590.056 * [misc]backup-simplify: Simplify k into k 1547633590.056 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.056 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.056 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.056 * [misc]backup-simplify: Simplify -2 into -2 1547633590.056 * [misc]taylor: Taking taylor expansion of n in n 1547633590.056 * [misc]backup-simplify: Simplify 0 into 0 1547633590.056 * [misc]backup-simplify: Simplify 1 into 1 1547633590.056 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.056 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.056 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.056 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.056 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.057 * [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))) 1547633590.057 * [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)))) 1547633590.057 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of k in n 1547633590.057 * [misc]backup-simplify: Simplify k into k 1547633590.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.057 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.057 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.057 * [misc]backup-simplify: Simplify PI into PI 1547633590.057 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.057 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.058 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.058 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633590.058 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.058 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633590.058 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633590.058 * [misc]taylor: Taking taylor expansion of -1 in n 1547633590.058 * [misc]backup-simplify: Simplify -1 into -1 1547633590.058 * [misc]taylor: Taking taylor expansion of k in n 1547633590.058 * [misc]backup-simplify: Simplify k into k 1547633590.058 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633590.058 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633590.058 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633590.058 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633590.059 * [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))) 1547633590.059 * [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))) 1547633590.059 * [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 1547633590.059 * [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 1547633590.059 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of k in k 1547633590.059 * [misc]backup-simplify: Simplify 0 into 0 1547633590.059 * [misc]backup-simplify: Simplify 1 into 1 1547633590.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.059 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633590.059 * [misc]taylor: Taking taylor expansion of -2 in k 1547633590.059 * [misc]backup-simplify: Simplify -2 into -2 1547633590.059 * [misc]taylor: Taking taylor expansion of n in k 1547633590.059 * [misc]backup-simplify: Simplify n into n 1547633590.059 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633590.059 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633590.060 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.060 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633590.060 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.060 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of k in k 1547633590.060 * [misc]backup-simplify: Simplify 0 into 0 1547633590.060 * [misc]backup-simplify: Simplify 1 into 1 1547633590.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.060 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633590.060 * [misc]taylor: Taking taylor expansion of PI in k 1547633590.060 * [misc]backup-simplify: Simplify PI into PI 1547633590.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.061 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633590.061 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.061 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633590.061 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633590.061 * [misc]taylor: Taking taylor expansion of -1 in k 1547633590.061 * [misc]backup-simplify: Simplify -1 into -1 1547633590.061 * [misc]taylor: Taking taylor expansion of k in k 1547633590.061 * [misc]backup-simplify: Simplify 0 into 0 1547633590.061 * [misc]backup-simplify: Simplify 1 into 1 1547633590.061 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633590.061 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.062 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633590.062 * [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))) 1547633590.062 * [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)))) 1547633590.062 * [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 1547633590.062 * [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 1547633590.062 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of k in k 1547633590.062 * [misc]backup-simplify: Simplify 0 into 0 1547633590.062 * [misc]backup-simplify: Simplify 1 into 1 1547633590.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.062 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633590.062 * [misc]taylor: Taking taylor expansion of -2 in k 1547633590.063 * [misc]backup-simplify: Simplify -2 into -2 1547633590.063 * [misc]taylor: Taking taylor expansion of n in k 1547633590.063 * [misc]backup-simplify: Simplify n into n 1547633590.063 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633590.063 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633590.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.063 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633590.063 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.063 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of k in k 1547633590.063 * [misc]backup-simplify: Simplify 0 into 0 1547633590.063 * [misc]backup-simplify: Simplify 1 into 1 1547633590.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.063 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633590.063 * [misc]taylor: Taking taylor expansion of PI in k 1547633590.063 * [misc]backup-simplify: Simplify PI into PI 1547633590.064 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.064 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633590.064 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.064 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633590.064 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633590.064 * [misc]taylor: Taking taylor expansion of -1 in k 1547633590.064 * [misc]backup-simplify: Simplify -1 into -1 1547633590.064 * [misc]taylor: Taking taylor expansion of k in k 1547633590.064 * [misc]backup-simplify: Simplify 0 into 0 1547633590.064 * [misc]backup-simplify: Simplify 1 into 1 1547633590.065 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633590.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.065 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633590.065 * [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))) 1547633590.065 * [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)))) 1547633590.065 * [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 1547633590.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.065 * [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 1547633590.065 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.065 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.065 * [misc]taylor: Taking taylor expansion of k in n 1547633590.066 * [misc]backup-simplify: Simplify k into k 1547633590.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.066 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.066 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.066 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.066 * [misc]backup-simplify: Simplify -2 into -2 1547633590.066 * [misc]taylor: Taking taylor expansion of n in n 1547633590.066 * [misc]backup-simplify: Simplify 0 into 0 1547633590.066 * [misc]backup-simplify: Simplify 1 into 1 1547633590.066 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.066 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.066 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.066 * [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))) 1547633590.067 * [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)))) 1547633590.067 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of k in n 1547633590.067 * [misc]backup-simplify: Simplify k into k 1547633590.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.067 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.067 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.067 * [misc]backup-simplify: Simplify PI into PI 1547633590.067 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.068 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.068 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633590.068 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.068 * [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))) 1547633590.069 * [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)))) 1547633590.069 * [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)))) 1547633590.069 * [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 1547633590.069 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633590.070 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.070 * [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))))) 1547633590.070 * [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 1547633590.070 * [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 1547633590.070 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.070 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.070 * [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 1547633590.070 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.070 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of k in n 1547633590.071 * [misc]backup-simplify: Simplify k into k 1547633590.071 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.071 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.071 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.071 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.071 * [misc]backup-simplify: Simplify -2 into -2 1547633590.071 * [misc]taylor: Taking taylor expansion of n in n 1547633590.071 * [misc]backup-simplify: Simplify 0 into 0 1547633590.071 * [misc]backup-simplify: Simplify 1 into 1 1547633590.071 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.071 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.071 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.071 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.071 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.072 * [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))) 1547633590.072 * [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)))) 1547633590.072 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of k in n 1547633590.072 * [misc]backup-simplify: Simplify k into k 1547633590.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.072 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.072 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.072 * [misc]backup-simplify: Simplify PI into PI 1547633590.072 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.072 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.072 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.073 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633590.073 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.073 * [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))) 1547633590.073 * [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)))) 1547633590.074 * [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))))) 1547633590.074 * [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))))) 1547633590.076 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633590.076 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.076 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.076 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547633590.077 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.077 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633590.079 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633590.079 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.079 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.079 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.080 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633590.080 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.081 * [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 1547633590.081 * [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 1547633590.081 * [misc]backup-simplify: Simplify 0 into 0 1547633590.081 * [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 1547633590.082 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633590.082 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633590.083 * [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))))) 1547633590.083 * [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 1547633590.083 * [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 1547633590.083 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.083 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.083 * [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 1547633590.083 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of k in n 1547633590.083 * [misc]backup-simplify: Simplify k into k 1547633590.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.083 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.083 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.083 * [misc]backup-simplify: Simplify -2 into -2 1547633590.083 * [misc]taylor: Taking taylor expansion of n in n 1547633590.083 * [misc]backup-simplify: Simplify 0 into 0 1547633590.083 * [misc]backup-simplify: Simplify 1 into 1 1547633590.084 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.084 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.084 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.084 * [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))) 1547633590.084 * [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)))) 1547633590.085 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of k in n 1547633590.085 * [misc]backup-simplify: Simplify k into k 1547633590.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.085 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633590.085 * [misc]taylor: Taking taylor expansion of PI in n 1547633590.085 * [misc]backup-simplify: Simplify PI into PI 1547633590.085 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633590.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.085 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.085 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633590.086 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.086 * [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))) 1547633590.086 * [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)))) 1547633590.087 * [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))))) 1547633590.087 * [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))))) 1547633590.089 * [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)))))))) 1547633590.089 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1547633590.089 * [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)) 1547633590.089 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1547633590.089 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.090 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.090 * [misc]taylor: Taking taylor expansion of k in n 1547633590.090 * [misc]backup-simplify: Simplify k into k 1547633590.090 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633590.090 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.090 * [misc]backup-simplify: Simplify 2 into 2 1547633590.090 * [misc]taylor: Taking taylor expansion of n in n 1547633590.090 * [misc]backup-simplify: Simplify 0 into 0 1547633590.090 * [misc]backup-simplify: Simplify 1 into 1 1547633590.090 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633590.090 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633590.091 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.091 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633590.091 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633590.091 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633590.091 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633590.092 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633590.092 * [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)))) 1547633590.092 * [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))))) 1547633590.092 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633590.092 * [misc]taylor: Taking taylor expansion of k in n 1547633590.092 * [misc]backup-simplify: Simplify k into k 1547633590.092 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633590.092 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633590.092 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.093 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.093 * [misc]taylor: Taking taylor expansion of k in k 1547633590.093 * [misc]backup-simplify: Simplify 0 into 0 1547633590.093 * [misc]backup-simplify: Simplify 1 into 1 1547633590.093 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633590.093 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.093 * [misc]backup-simplify: Simplify 2 into 2 1547633590.093 * [misc]taylor: Taking taylor expansion of n in k 1547633590.093 * [misc]backup-simplify: Simplify n into n 1547633590.093 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633590.093 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633590.093 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633590.093 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.094 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.094 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633590.094 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633590.094 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1547633590.094 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633590.094 * [misc]taylor: Taking taylor expansion of k in k 1547633590.094 * [misc]backup-simplify: Simplify 0 into 0 1547633590.094 * [misc]backup-simplify: Simplify 1 into 1 1547633590.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.095 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.095 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.095 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.095 * [misc]taylor: Taking taylor expansion of k in k 1547633590.095 * [misc]backup-simplify: Simplify 0 into 0 1547633590.095 * [misc]backup-simplify: Simplify 1 into 1 1547633590.095 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633590.095 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.095 * [misc]backup-simplify: Simplify 2 into 2 1547633590.096 * [misc]taylor: Taking taylor expansion of n in k 1547633590.096 * [misc]backup-simplify: Simplify n into n 1547633590.096 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633590.096 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633590.096 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633590.096 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.097 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.097 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633590.098 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633590.098 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1547633590.098 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633590.098 * [misc]taylor: Taking taylor expansion of k in k 1547633590.098 * [misc]backup-simplify: Simplify 0 into 0 1547633590.098 * [misc]backup-simplify: Simplify 1 into 1 1547633590.098 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.098 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.099 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1547633590.099 * [misc]taylor: Taking taylor expansion of 0 in n 1547633590.099 * [misc]backup-simplify: Simplify 0 into 0 1547633590.099 * [misc]backup-simplify: Simplify 0 into 0 1547633590.099 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547633590.100 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547633590.100 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633590.100 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.101 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.101 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547633590.101 * [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)))) 1547633590.102 * [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)))) 1547633590.103 * [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)))) 1547633590.103 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1547633590.103 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1547633590.103 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.103 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.103 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1547633590.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547633590.103 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547633590.103 * [misc]taylor: Taking taylor expansion of n in n 1547633590.103 * [misc]backup-simplify: Simplify 0 into 0 1547633590.103 * [misc]backup-simplify: Simplify 1 into 1 1547633590.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.103 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.104 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.104 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633590.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.104 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633590.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633590.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.105 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547633590.106 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1547633590.107 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.108 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.108 * [misc]backup-simplify: Simplify 0 into 0 1547633590.109 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.109 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547633590.111 * [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 1547633590.111 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633590.111 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547633590.113 * [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))) 1547633590.115 * [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))))) 1547633590.119 * [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)))))) 1547633590.119 * [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 1547633590.119 * [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 1547633590.119 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1547633590.119 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.119 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.119 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1547633590.119 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1547633590.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633590.119 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.119 * [misc]backup-simplify: Simplify 2 into 2 1547633590.120 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633590.120 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633590.120 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1547633590.120 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633590.120 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633590.120 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.120 * [misc]backup-simplify: Simplify 2 into 2 1547633590.120 * [misc]taylor: Taking taylor expansion of n in n 1547633590.120 * [misc]backup-simplify: Simplify 0 into 0 1547633590.120 * [misc]backup-simplify: Simplify 1 into 1 1547633590.120 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633590.120 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633590.121 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.121 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1547633590.121 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633590.121 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.121 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633590.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633590.121 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547633590.121 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547633590.121 * [misc]taylor: Taking taylor expansion of n in n 1547633590.121 * [misc]backup-simplify: Simplify 0 into 0 1547633590.121 * [misc]backup-simplify: Simplify 1 into 1 1547633590.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.122 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.122 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.122 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1547633590.122 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1547633590.122 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.122 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.122 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1547633590.122 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1547633590.122 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1547633590.122 * [misc]taylor: Taking taylor expansion of n in n 1547633590.122 * [misc]backup-simplify: Simplify 0 into 0 1547633590.122 * [misc]backup-simplify: Simplify 1 into 1 1547633590.123 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.123 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.123 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.123 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1547633590.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.124 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1547633590.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1547633590.124 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633590.125 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1547633590.125 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1547633590.126 * [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))) 1547633590.127 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633590.127 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1547633590.127 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633590.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633590.131 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1547633590.131 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1547633590.133 * [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))))))) 1547633590.134 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1547633590.136 * [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))))))) 1547633590.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.137 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1547633590.138 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1547633590.138 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.140 * [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))))))))) 1547633590.142 * [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))))))) 1547633590.144 * [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))))))) 1547633590.145 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1547633590.145 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633590.146 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.147 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.147 * [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))) 1547633590.148 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.148 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1547633590.151 * [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)))))))))))) 1547633590.152 * [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))) 1547633590.152 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1547633590.152 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of k in n 1547633590.152 * [misc]backup-simplify: Simplify k into k 1547633590.152 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.152 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.152 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.152 * [misc]backup-simplify: Simplify 2 into 2 1547633590.152 * [misc]taylor: Taking taylor expansion of n in n 1547633590.152 * [misc]backup-simplify: Simplify 0 into 0 1547633590.152 * [misc]backup-simplify: Simplify 1 into 1 1547633590.152 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.152 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.152 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.152 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.152 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.153 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.153 * [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))) 1547633590.153 * [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)))) 1547633590.153 * [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))))) 1547633590.153 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633590.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.153 * [misc]taylor: Taking taylor expansion of k in n 1547633590.153 * [misc]backup-simplify: Simplify k into k 1547633590.153 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.153 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633590.154 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.154 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633590.154 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.154 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of k in k 1547633590.154 * [misc]backup-simplify: Simplify 0 into 0 1547633590.154 * [misc]backup-simplify: Simplify 1 into 1 1547633590.154 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.154 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633590.154 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.154 * [misc]backup-simplify: Simplify 2 into 2 1547633590.154 * [misc]taylor: Taking taylor expansion of n in k 1547633590.154 * [misc]backup-simplify: Simplify n into n 1547633590.154 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633590.154 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633590.154 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.154 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.154 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.155 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633590.155 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.155 * [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))))) 1547633590.155 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633590.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.155 * [misc]taylor: Taking taylor expansion of k in k 1547633590.155 * [misc]backup-simplify: Simplify 0 into 0 1547633590.155 * [misc]backup-simplify: Simplify 1 into 1 1547633590.155 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.155 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.155 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.156 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of k in k 1547633590.156 * [misc]backup-simplify: Simplify 0 into 0 1547633590.156 * [misc]backup-simplify: Simplify 1 into 1 1547633590.156 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.156 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633590.156 * [misc]taylor: Taking taylor expansion of 2 in k 1547633590.156 * [misc]backup-simplify: Simplify 2 into 2 1547633590.156 * [misc]taylor: Taking taylor expansion of n in k 1547633590.156 * [misc]backup-simplify: Simplify n into n 1547633590.156 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633590.156 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633590.156 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.156 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633590.156 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633590.156 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633590.157 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633590.157 * [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))))) 1547633590.157 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633590.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.157 * [misc]taylor: Taking taylor expansion of k in k 1547633590.157 * [misc]backup-simplify: Simplify 0 into 0 1547633590.157 * [misc]backup-simplify: Simplify 1 into 1 1547633590.157 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.157 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.157 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633590.157 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547633590.157 * [misc]taylor: Taking taylor expansion of 0 in n 1547633590.157 * [misc]backup-simplify: Simplify 0 into 0 1547633590.157 * [misc]backup-simplify: Simplify 0 into 0 1547633590.158 * [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 1547633590.158 * [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))))))) 1547633590.158 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.158 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.158 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of k in n 1547633590.158 * [misc]backup-simplify: Simplify k into k 1547633590.158 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.158 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.158 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.158 * [misc]backup-simplify: Simplify 2 into 2 1547633590.158 * [misc]taylor: Taking taylor expansion of n in n 1547633590.158 * [misc]backup-simplify: Simplify 0 into 0 1547633590.158 * [misc]backup-simplify: Simplify 1 into 1 1547633590.158 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.159 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.159 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.159 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.159 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.159 * [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))) 1547633590.159 * [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)))) 1547633590.160 * [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))))) 1547633590.160 * [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))))) 1547633590.160 * [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))))))) 1547633590.160 * [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))))))) 1547633590.160 * [misc]backup-simplify: Simplify 0 into 0 1547633590.160 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633590.161 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.161 * [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 1547633590.162 * [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))))))) 1547633590.162 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.162 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of k in n 1547633590.162 * [misc]backup-simplify: Simplify k into k 1547633590.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.162 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.162 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.162 * [misc]backup-simplify: Simplify 2 into 2 1547633590.162 * [misc]taylor: Taking taylor expansion of n in n 1547633590.162 * [misc]backup-simplify: Simplify 0 into 0 1547633590.162 * [misc]backup-simplify: Simplify 1 into 1 1547633590.162 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.162 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.162 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.163 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.163 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.163 * [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))) 1547633590.163 * [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)))) 1547633590.163 * [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))))) 1547633590.164 * [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))))) 1547633590.164 * [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))))))) 1547633590.164 * [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))))))) 1547633590.164 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633590.166 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633590.166 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.166 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.167 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633590.168 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.168 * [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 1547633590.169 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1547633590.169 * [misc]backup-simplify: Simplify (- 0) into 0 1547633590.169 * [misc]backup-simplify: Simplify 0 into 0 1547633590.169 * [misc]backup-simplify: Simplify 0 into 0 1547633590.169 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633590.170 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633590.170 * [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 1547633590.171 * [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))))))) 1547633590.171 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.171 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.171 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.171 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of k in n 1547633590.171 * [misc]backup-simplify: Simplify k into k 1547633590.171 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.171 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633590.171 * [misc]taylor: Taking taylor expansion of 2 in n 1547633590.171 * [misc]backup-simplify: Simplify 2 into 2 1547633590.171 * [misc]taylor: Taking taylor expansion of n in n 1547633590.171 * [misc]backup-simplify: Simplify 0 into 0 1547633590.171 * [misc]backup-simplify: Simplify 1 into 1 1547633590.171 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633590.172 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633590.172 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.172 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633590.172 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633590.172 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633590.172 * [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))) 1547633590.172 * [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)))) 1547633590.173 * [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))))) 1547633590.173 * [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))))) 1547633590.173 * [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))))))) 1547633590.173 * [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))))))) 1547633590.174 * [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))))))))))) 1547633590.174 * [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))) 1547633590.174 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1547633590.174 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of -1 in n 1547633590.175 * [misc]backup-simplify: Simplify -1 into -1 1547633590.175 * [misc]taylor: Taking taylor expansion of k in n 1547633590.175 * [misc]backup-simplify: Simplify k into k 1547633590.175 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633590.175 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633590.175 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633590.175 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633590.175 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of k in n 1547633590.175 * [misc]backup-simplify: Simplify k into k 1547633590.175 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.175 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.175 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.175 * [misc]backup-simplify: Simplify -2 into -2 1547633590.175 * [misc]taylor: Taking taylor expansion of n in n 1547633590.175 * [misc]backup-simplify: Simplify 0 into 0 1547633590.175 * [misc]backup-simplify: Simplify 1 into 1 1547633590.175 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.175 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.175 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.176 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.176 * [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))) 1547633590.176 * [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)))) 1547633590.176 * [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))))) 1547633590.176 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547633590.176 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633590.176 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633590.176 * [misc]taylor: Taking taylor expansion of -1 in k 1547633590.177 * [misc]backup-simplify: Simplify -1 into -1 1547633590.177 * [misc]taylor: Taking taylor expansion of k in k 1547633590.177 * [misc]backup-simplify: Simplify 0 into 0 1547633590.177 * [misc]backup-simplify: Simplify 1 into 1 1547633590.177 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633590.177 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.177 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633590.177 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.177 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.177 * [misc]taylor: Taking taylor expansion of k in k 1547633590.177 * [misc]backup-simplify: Simplify 0 into 0 1547633590.177 * [misc]backup-simplify: Simplify 1 into 1 1547633590.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.178 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633590.178 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633590.178 * [misc]taylor: Taking taylor expansion of -2 in k 1547633590.178 * [misc]backup-simplify: Simplify -2 into -2 1547633590.178 * [misc]taylor: Taking taylor expansion of n in k 1547633590.178 * [misc]backup-simplify: Simplify n into n 1547633590.178 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633590.178 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633590.178 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.178 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.178 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633590.178 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.178 * [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))) 1547633590.178 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547633590.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633590.178 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633590.178 * [misc]taylor: Taking taylor expansion of -1 in k 1547633590.178 * [misc]backup-simplify: Simplify -1 into -1 1547633590.178 * [misc]taylor: Taking taylor expansion of k in k 1547633590.178 * [misc]backup-simplify: Simplify 0 into 0 1547633590.178 * [misc]backup-simplify: Simplify 1 into 1 1547633590.178 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633590.179 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633590.179 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633590.179 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of k in k 1547633590.179 * [misc]backup-simplify: Simplify 0 into 0 1547633590.179 * [misc]backup-simplify: Simplify 1 into 1 1547633590.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633590.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633590.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.179 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633590.179 * [misc]taylor: Taking taylor expansion of -2 in k 1547633590.179 * [misc]backup-simplify: Simplify -2 into -2 1547633590.179 * [misc]taylor: Taking taylor expansion of n in k 1547633590.179 * [misc]backup-simplify: Simplify n into n 1547633590.179 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633590.179 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633590.180 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633590.180 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633590.180 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633590.180 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633590.180 * [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))) 1547633590.180 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.180 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of k in n 1547633590.180 * [misc]backup-simplify: Simplify k into k 1547633590.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.180 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.180 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.180 * [misc]backup-simplify: Simplify -2 into -2 1547633590.180 * [misc]taylor: Taking taylor expansion of n in n 1547633590.180 * [misc]backup-simplify: Simplify 0 into 0 1547633590.180 * [misc]backup-simplify: Simplify 1 into 1 1547633590.181 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.181 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.181 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.181 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.181 * [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))) 1547633590.181 * [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)))) 1547633590.182 * [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))))) 1547633590.182 * [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))))) 1547633590.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633590.183 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633590.183 * [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))))) 1547633590.183 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.183 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.183 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.183 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of k in n 1547633590.183 * [misc]backup-simplify: Simplify k into k 1547633590.183 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.183 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.183 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.183 * [misc]backup-simplify: Simplify -2 into -2 1547633590.183 * [misc]taylor: Taking taylor expansion of n in n 1547633590.183 * [misc]backup-simplify: Simplify 0 into 0 1547633590.183 * [misc]backup-simplify: Simplify 1 into 1 1547633590.184 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.184 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.184 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.184 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.184 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.184 * [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))) 1547633590.184 * [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)))) 1547633590.185 * [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))))) 1547633590.185 * [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))))) 1547633590.185 * [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))))))) 1547633590.185 * [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))))))) 1547633590.186 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633590.187 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633590.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633590.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633590.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633590.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.188 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633590.189 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633590.190 * [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 1547633590.190 * [misc]backup-simplify: Simplify 0 into 0 1547633590.191 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633590.192 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633590.193 * [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))))) 1547633590.193 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633590.193 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633590.193 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.193 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of k in n 1547633590.193 * [misc]backup-simplify: Simplify k into k 1547633590.193 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633590.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633590.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633590.193 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633590.193 * [misc]taylor: Taking taylor expansion of -2 in n 1547633590.193 * [misc]backup-simplify: Simplify -2 into -2 1547633590.193 * [misc]taylor: Taking taylor expansion of n in n 1547633590.193 * [misc]backup-simplify: Simplify 0 into 0 1547633590.194 * [misc]backup-simplify: Simplify 1 into 1 1547633590.194 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633590.194 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633590.194 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633590.194 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633590.194 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633590.195 * [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))) 1547633590.195 * [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)))) 1547633590.195 * [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))))) 1547633590.196 * [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))))) 1547633590.196 * [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))))))) 1547633590.197 * [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))))))) 1547633590.198 * [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))))))))) 1547633590.198 * * * [misc]progress: simplifying candidates 1547633590.198 * * * * [misc]progress: [ 1 / 266 ] simplifiying candidate # 1547633590.199 * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # 1547633590.199 * * * * [misc]progress: [ 3 / 266 ] simplifiying candidate # 1547633590.199 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1547633590.199 * * [misc]simplify: iters left: 6 (9 enodes) 1547633590.203 * * [misc]simplify: iters left: 5 (16 enodes) 1547633590.208 * * [misc]simplify: iters left: 4 (32 enodes) 1547633590.220 * * [misc]simplify: iters left: 3 (72 enodes) 1547633590.245 * * [misc]simplify: iters left: 2 (195 enodes) 1547633590.304 * * [misc]simplify: iters left: 1 (418 enodes) 1547633590.501 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1547633590.501 * [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))))))) 1547633590.501 * * * * [misc]progress: [ 4 / 266 ] simplifiying candidate # 1547633590.502 * * * * [misc]progress: [ 5 / 266 ] simplifiying candidate # 1547633590.502 * [enter]simplify: Simplifying (* n 2) 1547633590.502 * * [misc]simplify: iters left: 2 (3 enodes) 1547633590.503 * * [misc]simplify: iters left: 1 (4 enodes) 1547633590.504 * [exit]simplify: Simplified to (* n 2) 1547633590.504 * [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))))))) 1547633590.504 * * * * [misc]progress: [ 6 / 266 ] simplifiying candidate # 1547633590.504 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547633590.504 * * [misc]simplify: iters left: 3 (6 enodes) 1547633590.506 * * [misc]simplify: iters left: 2 (7 enodes) 1547633590.508 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547633590.508 * [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)))))) 1547633590.508 * * * * [misc]progress: [ 7 / 266 ] simplifiying candidate # 1547633590.509 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633590.509 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.511 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.513 * * [misc]simplify: iters left: 3 (11 enodes) 1547633590.516 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633590.516 * [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))))))) 1547633590.516 * * * * [misc]progress: [ 8 / 266 ] simplifiying candidate # 1547633590.516 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633590.516 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.518 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.521 * * [misc]simplify: iters left: 3 (11 enodes) 1547633590.524 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633590.524 * [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))))))) 1547633590.524 * * * * [misc]progress: [ 9 / 266 ] simplifiying candidate # 1547633590.524 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633590.524 * * [misc]simplify: iters left: 4 (5 enodes) 1547633590.526 * * [misc]simplify: iters left: 3 (7 enodes) 1547633590.528 * * [misc]simplify: iters left: 2 (10 enodes) 1547633590.531 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633590.531 * [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)))))) 1547633590.531 * * * * [misc]progress: [ 10 / 266 ] simplifiying candidate # 1547633590.531 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633590.531 * * [misc]simplify: iters left: 5 (7 enodes) 1547633590.534 * * [misc]simplify: iters left: 4 (10 enodes) 1547633590.537 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633590.537 * [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))))))) 1547633590.537 * * * * [misc]progress: [ 11 / 266 ] simplifiying candidate # 1547633590.537 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633590.537 * * [misc]simplify: iters left: 5 (7 enodes) 1547633590.539 * * [misc]simplify: iters left: 4 (10 enodes) 1547633590.542 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633590.542 * [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))))))) 1547633590.542 * * * * [misc]progress: [ 12 / 266 ] simplifiying candidate # 1547633590.543 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1547633590.543 * * [misc]simplify: iters left: 5 (7 enodes) 1547633590.545 * * [misc]simplify: iters left: 4 (9 enodes) 1547633590.548 * * [misc]simplify: iters left: 3 (12 enodes) 1547633590.549 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547633590.549 * [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))))))) 1547633590.549 * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # 1547633590.549 * * * * [misc]progress: [ 14 / 266 ] simplifiying candidate # 1547633590.549 * * * * [misc]progress: [ 15 / 266 ] simplifiying candidate # 1547633590.549 * * * * [misc]progress: [ 16 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 17 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 18 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 21 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 22 / 266 ] simplifiying candidate # 1547633590.550 * * * * [misc]progress: [ 23 / 266 ] simplifiying candidate # 1547633590.550 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1547633590.550 * * [misc]simplify: iters left: 3 (5 enodes) 1547633590.551 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1547633590.551 * [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)))))) 1547633590.551 * * * * [misc]progress: [ 24 / 266 ] simplifiying candidate # 1547633590.551 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633590.551 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.552 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.553 * * [misc]simplify: iters left: 3 (11 enodes) 1547633590.555 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633590.555 * [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)))))) 1547633590.555 * * * * [misc]progress: [ 25 / 266 ] simplifiying candidate # 1547633590.555 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633590.555 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.556 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.557 * * [misc]simplify: iters left: 3 (11 enodes) 1547633590.559 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633590.559 * [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)))))) 1547633590.559 * * * * [misc]progress: [ 26 / 266 ] simplifiying candidate # 1547633590.559 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633590.559 * * [misc]simplify: iters left: 4 (5 enodes) 1547633590.560 * * [misc]simplify: iters left: 3 (7 enodes) 1547633590.561 * * [misc]simplify: iters left: 2 (10 enodes) 1547633590.562 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633590.562 * [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)))))) 1547633590.562 * * * * [misc]progress: [ 27 / 266 ] simplifiying candidate # 1547633590.562 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547633590.562 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.563 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.564 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547633590.565 * [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)))))) 1547633590.565 * * * * [misc]progress: [ 28 / 266 ] simplifiying candidate # 1547633590.565 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547633590.565 * * [misc]simplify: iters left: 5 (6 enodes) 1547633590.566 * * [misc]simplify: iters left: 4 (8 enodes) 1547633590.567 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547633590.567 * [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)))))) 1547633590.567 * * * * [misc]progress: [ 29 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 30 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 31 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 32 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 33 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 34 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 35 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 36 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 37 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 38 / 266 ] simplifiying candidate # 1547633590.567 * * * * [misc]progress: [ 39 / 266 ] simplifiying candidate # 1547633590.568 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633590.568 * * [misc]simplify: iters left: 6 (18 enodes) 1547633590.571 * * [misc]simplify: iters left: 5 (36 enodes) 1547633590.578 * * [misc]simplify: iters left: 4 (94 enodes) 1547633590.624 * * [misc]simplify: iters left: 3 (325 enodes) 1547633590.801 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1547633590.801 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1547633590.802 * * * * [misc]progress: [ 40 / 266 ] simplifiying candidate # 1547633590.802 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633590.802 * * [misc]simplify: iters left: 6 (18 enodes) 1547633590.808 * * [misc]simplify: iters left: 5 (36 enodes) 1547633590.819 * * [misc]simplify: iters left: 4 (94 enodes) 1547633590.845 * * [misc]simplify: iters left: 3 (325 enodes) 1547633591.010 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1547633591.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1547633591.011 * * * * [misc]progress: [ 41 / 266 ] simplifiying candidate # 1547633591.011 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633591.011 * * [misc]simplify: iters left: 6 (18 enodes) 1547633591.014 * * [misc]simplify: iters left: 5 (34 enodes) 1547633591.025 * * [misc]simplify: iters left: 4 (82 enodes) 1547633591.062 * * [misc]simplify: iters left: 3 (239 enodes) 1547633591.189 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1547633591.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1547633591.189 * * * * [misc]progress: [ 42 / 266 ] simplifiying candidate # 1547633591.189 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633591.189 * * [misc]simplify: iters left: 6 (17 enodes) 1547633591.192 * * [misc]simplify: iters left: 5 (30 enodes) 1547633591.198 * * [misc]simplify: iters left: 4 (67 enodes) 1547633591.222 * * [misc]simplify: iters left: 3 (188 enodes) 1547633591.270 * * [misc]simplify: iters left: 2 (366 enodes) 1547633591.477 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1547633591.477 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))))) 1547633591.477 * * * * [misc]progress: [ 43 / 266 ] simplifiying candidate # 1547633591.477 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633591.477 * * [misc]simplify: iters left: 6 (18 enodes) 1547633591.481 * * [misc]simplify: iters left: 5 (33 enodes) 1547633591.486 * * [misc]simplify: iters left: 4 (70 enodes) 1547633591.508 * * [misc]simplify: iters left: 3 (220 enodes) 1547633591.675 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1547633591.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1547633591.675 * * * * [misc]progress: [ 44 / 266 ] simplifiying candidate # 1547633591.676 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633591.676 * * [misc]simplify: iters left: 6 (18 enodes) 1547633591.683 * * [misc]simplify: iters left: 5 (33 enodes) 1547633591.697 * * [misc]simplify: iters left: 4 (70 enodes) 1547633591.727 * * [misc]simplify: iters left: 3 (220 enodes) 1547633591.849 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1547633591.849 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1547633591.849 * * * * [misc]progress: [ 45 / 266 ] simplifiying candidate # 1547633591.850 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633591.850 * * [misc]simplify: iters left: 6 (18 enodes) 1547633591.853 * * [misc]simplify: iters left: 5 (31 enodes) 1547633591.858 * * [misc]simplify: iters left: 4 (58 enodes) 1547633591.875 * * [misc]simplify: iters left: 3 (137 enodes) 1547633591.941 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1547633591.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1547633591.941 * * * * [misc]progress: [ 46 / 266 ] simplifiying candidate # 1547633591.941 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633591.942 * * [misc]simplify: iters left: 6 (17 enodes) 1547633591.946 * * [misc]simplify: iters left: 5 (27 enodes) 1547633591.954 * * [misc]simplify: iters left: 4 (43 enodes) 1547633591.970 * * [misc]simplify: iters left: 3 (87 enodes) 1547633591.997 * * [misc]simplify: iters left: 2 (236 enodes) 1547633592.125 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1547633592.125 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1547633592.125 * * * * [misc]progress: [ 47 / 266 ] simplifiying candidate # 1547633592.126 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633592.126 * * [misc]simplify: iters left: 6 (19 enodes) 1547633592.130 * * [misc]simplify: iters left: 5 (38 enodes) 1547633592.136 * * [misc]simplify: iters left: 4 (77 enodes) 1547633592.157 * * [misc]simplify: iters left: 3 (214 enodes) 1547633592.273 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1547633592.273 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1547633592.273 * * * * [misc]progress: [ 48 / 266 ] simplifiying candidate # 1547633592.273 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633592.274 * * [misc]simplify: iters left: 6 (19 enodes) 1547633592.278 * * [misc]simplify: iters left: 5 (38 enodes) 1547633592.284 * * [misc]simplify: iters left: 4 (77 enodes) 1547633592.300 * * [misc]simplify: iters left: 3 (214 enodes) 1547633592.412 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1547633592.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1547633592.412 * * * * [misc]progress: [ 49 / 266 ] simplifiying candidate # 1547633592.413 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633592.413 * * [misc]simplify: iters left: 6 (19 enodes) 1547633592.417 * * [misc]simplify: iters left: 5 (36 enodes) 1547633592.428 * * [misc]simplify: iters left: 4 (65 enodes) 1547633592.445 * * [misc]simplify: iters left: 3 (131 enodes) 1547633592.512 * * [misc]simplify: iters left: 2 (494 enodes) 1547633592.995 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1547633592.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1547633592.995 * * * * [misc]progress: [ 50 / 266 ] simplifiying candidate # 1547633592.996 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633592.996 * * [misc]simplify: iters left: 6 (18 enodes) 1547633592.999 * * [misc]simplify: iters left: 5 (32 enodes) 1547633593.003 * * [misc]simplify: iters left: 4 (47 enodes) 1547633593.010 * * [misc]simplify: iters left: 3 (75 enodes) 1547633593.034 * * [misc]simplify: iters left: 2 (166 enodes) 1547633593.208 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))) 1547633593.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1547633593.208 * * * * [misc]progress: [ 51 / 266 ] simplifiying candidate # 1547633593.208 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633593.208 * * [misc]simplify: iters left: 6 (19 enodes) 1547633593.213 * * [misc]simplify: iters left: 5 (40 enodes) 1547633593.220 * * [misc]simplify: iters left: 4 (82 enodes) 1547633593.237 * * [misc]simplify: iters left: 3 (222 enodes) 1547633593.383 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1547633593.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1547633593.383 * * * * [misc]progress: [ 52 / 266 ] simplifiying candidate # 1547633593.383 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1547633593.384 * * [misc]simplify: iters left: 6 (19 enodes) 1547633593.394 * * [misc]simplify: iters left: 5 (40 enodes) 1547633593.406 * * [misc]simplify: iters left: 4 (82 enodes) 1547633593.440 * * [misc]simplify: iters left: 3 (222 enodes) 1547633593.603 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1547633593.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1547633593.603 * * * * [misc]progress: [ 53 / 266 ] simplifiying candidate # 1547633593.603 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633593.604 * * [misc]simplify: iters left: 6 (19 enodes) 1547633593.611 * * [misc]simplify: iters left: 5 (38 enodes) 1547633593.626 * * [misc]simplify: iters left: 4 (70 enodes) 1547633593.650 * * [misc]simplify: iters left: 3 (139 enodes) 1547633593.748 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1547633593.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1547633593.748 * * * * [misc]progress: [ 54 / 266 ] simplifiying candidate # 1547633593.748 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633593.748 * * [misc]simplify: iters left: 6 (18 enodes) 1547633593.752 * * [misc]simplify: iters left: 5 (34 enodes) 1547633593.759 * * [misc]simplify: iters left: 4 (56 enodes) 1547633593.775 * * [misc]simplify: iters left: 3 (85 enodes) 1547633593.796 * * [misc]simplify: iters left: 2 (195 enodes) 1547633593.963 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))) 1547633593.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))))) 1547633593.963 * * * * [misc]progress: [ 55 / 266 ] simplifiying candidate # 1547633593.963 * * * * [misc]progress: [ 56 / 266 ] simplifiying candidate # 1547633593.963 * * * * [misc]progress: [ 57 / 266 ] simplifiying candidate # 1547633593.963 * [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)))))) 1547633593.964 * * [misc]simplify: iters left: 6 (22 enodes) 1547633593.973 * * [misc]simplify: iters left: 5 (49 enodes) 1547633593.993 * * [misc]simplify: iters left: 4 (146 enodes) 1547633594.062 * [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)))))) 1547633594.062 * [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)))))))) 1547633594.062 * * * * [misc]progress: [ 58 / 266 ] simplifiying candidate # 1547633594.063 * [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)))))) 1547633594.063 * * [misc]simplify: iters left: 6 (20 enodes) 1547633594.071 * * [misc]simplify: iters left: 5 (48 enodes) 1547633594.081 * * [misc]simplify: iters left: 4 (131 enodes) 1547633594.164 * [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)))))) 1547633594.164 * [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)))))))) 1547633594.164 * * * * [misc]progress: [ 59 / 266 ] simplifiying candidate # 1547633594.165 * * * * [misc]progress: [ 60 / 266 ] simplifiying candidate # 1547633594.165 * * * * [misc]progress: [ 61 / 266 ] simplifiying candidate # 1547633594.165 * * * * [misc]progress: [ 62 / 266 ] simplifiying candidate # 1547633594.165 * * * * [misc]progress: [ 63 / 266 ] simplifiying candidate # 1547633594.165 * [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))))))) 1547633594.165 * * [misc]simplify: iters left: 6 (20 enodes) 1547633594.172 * * [misc]simplify: iters left: 5 (33 enodes) 1547633594.181 * * [misc]simplify: iters left: 4 (46 enodes) 1547633594.188 * * [misc]simplify: iters left: 3 (53 enodes) 1547633594.194 * * [misc]simplify: iters left: 2 (56 enodes) 1547633594.202 * [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))))))) 1547633594.202 * [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)))))))) 1547633594.202 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633594.202 * * [misc]simplify: iters left: 6 (18 enodes) 1547633594.205 * * [misc]simplify: iters left: 5 (25 enodes) 1547633594.209 * * [misc]simplify: iters left: 4 (29 enodes) 1547633594.214 * * [misc]simplify: iters left: 3 (33 enodes) 1547633594.222 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633594.222 * [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)))))))) 1547633594.222 * * * * [misc]progress: [ 64 / 266 ] simplifiying candidate # 1547633594.223 * [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)))))) 1547633594.223 * * [misc]simplify: iters left: 6 (19 enodes) 1547633594.229 * * [misc]simplify: iters left: 5 (28 enodes) 1547633594.237 * * [misc]simplify: iters left: 4 (34 enodes) 1547633594.247 * * [misc]simplify: iters left: 3 (39 enodes) 1547633594.257 * [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)))))) 1547633594.257 * [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)))))))) 1547633594.257 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633594.258 * * [misc]simplify: iters left: 6 (18 enodes) 1547633594.264 * * [misc]simplify: iters left: 5 (25 enodes) 1547633594.271 * * [misc]simplify: iters left: 4 (29 enodes) 1547633594.276 * * [misc]simplify: iters left: 3 (33 enodes) 1547633594.281 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633594.281 * [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)))))))) 1547633594.281 * * * * [misc]progress: [ 65 / 266 ] simplifiying candidate # 1547633594.281 * [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))) 1547633594.281 * * [misc]simplify: iters left: 6 (20 enodes) 1547633594.285 * * [misc]simplify: iters left: 5 (34 enodes) 1547633594.290 * * [misc]simplify: iters left: 4 (53 enodes) 1547633594.298 * * [misc]simplify: iters left: 3 (98 enodes) 1547633594.315 * * [misc]simplify: iters left: 2 (155 enodes) 1547633594.346 * * [misc]simplify: iters left: 1 (186 enodes) 1547633594.385 * [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)))))) 1547633594.385 * [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))))))) 1547633594.385 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633594.385 * * [misc]simplify: iters left: 6 (19 enodes) 1547633594.389 * * [misc]simplify: iters left: 5 (29 enodes) 1547633594.393 * * [misc]simplify: iters left: 4 (34 enodes) 1547633594.398 * * [misc]simplify: iters left: 3 (40 enodes) 1547633594.403 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633594.403 * [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)))))) 1547633594.403 * * * * [misc]progress: [ 66 / 266 ] simplifiying candidate # 1547633594.403 * [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))) 1547633594.403 * * [misc]simplify: iters left: 6 (20 enodes) 1547633594.407 * * [misc]simplify: iters left: 5 (34 enodes) 1547633594.412 * * [misc]simplify: iters left: 4 (53 enodes) 1547633594.423 * * [misc]simplify: iters left: 3 (98 enodes) 1547633594.459 * * [misc]simplify: iters left: 2 (155 enodes) 1547633594.511 * * [misc]simplify: iters left: 1 (186 enodes) 1547633594.547 * [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)))))) 1547633594.547 * [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))))))) 1547633594.547 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633594.547 * * [misc]simplify: iters left: 6 (19 enodes) 1547633594.554 * * [misc]simplify: iters left: 5 (29 enodes) 1547633594.562 * * [misc]simplify: iters left: 4 (34 enodes) 1547633594.568 * * [misc]simplify: iters left: 3 (40 enodes) 1547633594.573 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633594.573 * [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)))))) 1547633594.573 * * * * [misc]progress: [ 67 / 266 ] simplifiying candidate # 1547633594.573 * [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))))) 1547633594.574 * * [misc]simplify: iters left: 6 (19 enodes) 1547633594.577 * * [misc]simplify: iters left: 5 (31 enodes) 1547633594.582 * * [misc]simplify: iters left: 4 (50 enodes) 1547633594.590 * * [misc]simplify: iters left: 3 (95 enodes) 1547633594.610 * * [misc]simplify: iters left: 2 (150 enodes) 1547633594.650 * * [misc]simplify: iters left: 1 (181 enodes) 1547633594.699 * [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)))))) 1547633594.699 * [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))))))) 1547633594.699 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633594.700 * * [misc]simplify: iters left: 6 (16 enodes) 1547633594.705 * * [misc]simplify: iters left: 5 (24 enodes) 1547633594.712 * * [misc]simplify: iters left: 4 (31 enodes) 1547633594.721 * * [misc]simplify: iters left: 3 (37 enodes) 1547633594.730 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633594.730 * [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))))))) 1547633594.730 * * * * [misc]progress: [ 68 / 266 ] simplifiying candidate # 1547633594.730 * [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))))))) 1547633594.730 * * [misc]simplify: iters left: 6 (22 enodes) 1547633594.741 * * [misc]simplify: iters left: 5 (39 enodes) 1547633594.750 * * [misc]simplify: iters left: 4 (74 enodes) 1547633594.763 * * [misc]simplify: iters left: 3 (149 enodes) 1547633594.800 * * [misc]simplify: iters left: 2 (277 enodes) 1547633594.908 * * [misc]simplify: iters left: 1 (387 enodes) 1547633595.028 * [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))))) 1547633595.029 * [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)))))))) 1547633595.029 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633595.029 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.032 * * [misc]simplify: iters left: 5 (28 enodes) 1547633595.036 * * [misc]simplify: iters left: 4 (35 enodes) 1547633595.041 * * [misc]simplify: iters left: 3 (41 enodes) 1547633595.046 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547633595.046 * [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))))) 1547633595.046 * * * * [misc]progress: [ 69 / 266 ] simplifiying candidate # 1547633595.047 * [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)))))) 1547633595.047 * * [misc]simplify: iters left: 6 (21 enodes) 1547633595.051 * * [misc]simplify: iters left: 5 (34 enodes) 1547633595.056 * * [misc]simplify: iters left: 4 (53 enodes) 1547633595.064 * * [misc]simplify: iters left: 3 (98 enodes) 1547633595.089 * * [misc]simplify: iters left: 2 (151 enodes) 1547633595.141 * * [misc]simplify: iters left: 1 (184 enodes) 1547633595.206 * [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)))))) 1547633595.206 * [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)))))))) 1547633595.206 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633595.206 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.215 * * [misc]simplify: iters left: 5 (28 enodes) 1547633595.222 * * [misc]simplify: iters left: 4 (35 enodes) 1547633595.232 * * [misc]simplify: iters left: 3 (41 enodes) 1547633595.237 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547633595.237 * [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))))) 1547633595.237 * * * * [misc]progress: [ 70 / 266 ] simplifiying candidate # 1547633595.237 * [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)) 1547633595.237 * * [misc]simplify: iters left: 6 (17 enodes) 1547633595.240 * * [misc]simplify: iters left: 5 (29 enodes) 1547633595.245 * * [misc]simplify: iters left: 4 (51 enodes) 1547633595.253 * * [misc]simplify: iters left: 3 (95 enodes) 1547633595.280 * * [misc]simplify: iters left: 2 (277 enodes) 1547633595.451 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1547633595.451 * [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))))))) 1547633595.452 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633595.452 * * [misc]simplify: iters left: 6 (18 enodes) 1547633595.458 * * [misc]simplify: iters left: 5 (27 enodes) 1547633595.465 * * [misc]simplify: iters left: 4 (34 enodes) 1547633595.474 * * [misc]simplify: iters left: 3 (40 enodes) 1547633595.482 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633595.482 * [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))))))) 1547633595.482 * * * * [misc]progress: [ 71 / 266 ] simplifiying candidate # 1547633595.483 * [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))) 1547633595.483 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.489 * * [misc]simplify: iters left: 5 (31 enodes) 1547633595.498 * * [misc]simplify: iters left: 4 (42 enodes) 1547633595.510 * * [misc]simplify: iters left: 3 (58 enodes) 1547633595.525 * * [misc]simplify: iters left: 2 (70 enodes) 1547633595.543 * * [misc]simplify: iters left: 1 (76 enodes) 1547633595.566 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1547633595.566 * [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))))))) 1547633595.567 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633595.567 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.574 * * [misc]simplify: iters left: 5 (29 enodes) 1547633595.582 * * [misc]simplify: iters left: 4 (34 enodes) 1547633595.592 * * [misc]simplify: iters left: 3 (40 enodes) 1547633595.602 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633595.602 * [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)))))) 1547633595.602 * * * * [misc]progress: [ 72 / 266 ] simplifiying candidate # 1547633595.602 * [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))) 1547633595.602 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.609 * * [misc]simplify: iters left: 5 (31 enodes) 1547633595.618 * * [misc]simplify: iters left: 4 (42 enodes) 1547633595.630 * * [misc]simplify: iters left: 3 (58 enodes) 1547633595.645 * * [misc]simplify: iters left: 2 (70 enodes) 1547633595.662 * * [misc]simplify: iters left: 1 (76 enodes) 1547633595.680 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1547633595.680 * [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))))))) 1547633595.681 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633595.681 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.687 * * [misc]simplify: iters left: 5 (29 enodes) 1547633595.695 * * [misc]simplify: iters left: 4 (34 enodes) 1547633595.705 * * [misc]simplify: iters left: 3 (40 enodes) 1547633595.717 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633595.717 * [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)))))) 1547633595.717 * * * * [misc]progress: [ 73 / 266 ] simplifiying candidate # 1547633595.717 * [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))))) 1547633595.718 * * [misc]simplify: iters left: 6 (18 enodes) 1547633595.724 * * [misc]simplify: iters left: 5 (28 enodes) 1547633595.732 * * [misc]simplify: iters left: 4 (39 enodes) 1547633595.744 * * [misc]simplify: iters left: 3 (55 enodes) 1547633595.759 * * [misc]simplify: iters left: 2 (67 enodes) 1547633595.777 * * [misc]simplify: iters left: 1 (73 enodes) 1547633595.797 * [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))))) 1547633595.797 * [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))))))) 1547633595.798 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633595.798 * * [misc]simplify: iters left: 6 (16 enodes) 1547633595.804 * * [misc]simplify: iters left: 5 (24 enodes) 1547633595.811 * * [misc]simplify: iters left: 4 (31 enodes) 1547633595.820 * * [misc]simplify: iters left: 3 (37 enodes) 1547633595.829 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633595.829 * [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))))))) 1547633595.829 * * * * [misc]progress: [ 74 / 266 ] simplifiying candidate # 1547633595.829 * [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))))))) 1547633595.830 * * [misc]simplify: iters left: 6 (21 enodes) 1547633595.836 * * [misc]simplify: iters left: 5 (34 enodes) 1547633595.846 * * [misc]simplify: iters left: 4 (49 enodes) 1547633595.861 * * [misc]simplify: iters left: 3 (79 enodes) 1547633595.887 * * [misc]simplify: iters left: 2 (118 enodes) 1547633595.926 * * [misc]simplify: iters left: 1 (151 enodes) 1547633595.971 * [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))) 1547633595.971 * [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)))))))) 1547633595.971 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633595.972 * * [misc]simplify: iters left: 6 (19 enodes) 1547633595.978 * * [misc]simplify: iters left: 5 (28 enodes) 1547633595.986 * * [misc]simplify: iters left: 4 (35 enodes) 1547633595.996 * * [misc]simplify: iters left: 3 (41 enodes) 1547633596.009 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633596.009 * [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))))) 1547633596.009 * * * * [misc]progress: [ 75 / 266 ] simplifiying candidate # 1547633596.010 * [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)))))) 1547633596.010 * * [misc]simplify: iters left: 6 (20 enodes) 1547633596.017 * * [misc]simplify: iters left: 5 (31 enodes) 1547633596.026 * * [misc]simplify: iters left: 4 (42 enodes) 1547633596.038 * * [misc]simplify: iters left: 3 (58 enodes) 1547633596.052 * * [misc]simplify: iters left: 2 (70 enodes) 1547633596.061 * * [misc]simplify: iters left: 1 (76 enodes) 1547633596.071 * [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)))) 1547633596.071 * [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)))))))) 1547633596.071 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633596.071 * * [misc]simplify: iters left: 6 (19 enodes) 1547633596.075 * * [misc]simplify: iters left: 5 (28 enodes) 1547633596.079 * * [misc]simplify: iters left: 4 (35 enodes) 1547633596.084 * * [misc]simplify: iters left: 3 (41 enodes) 1547633596.089 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633596.089 * [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))))) 1547633596.089 * * * * [misc]progress: [ 76 / 266 ] simplifiying candidate # 1547633596.089 * [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)) 1547633596.089 * * [misc]simplify: iters left: 6 (16 enodes) 1547633596.092 * * [misc]simplify: iters left: 5 (26 enodes) 1547633596.096 * * [misc]simplify: iters left: 4 (38 enodes) 1547633596.103 * * [misc]simplify: iters left: 3 (50 enodes) 1547633596.117 * * [misc]simplify: iters left: 2 (51 enodes) 1547633596.126 * * [misc]simplify: iters left: 1 (57 enodes) 1547633596.137 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547633596.137 * [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))))))) 1547633596.138 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633596.138 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.144 * * [misc]simplify: iters left: 5 (27 enodes) 1547633596.152 * * [misc]simplify: iters left: 4 (34 enodes) 1547633596.161 * * [misc]simplify: iters left: 3 (40 enodes) 1547633596.170 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633596.171 * [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))))))) 1547633596.171 * * * * [misc]progress: [ 77 / 266 ] simplifiying candidate # 1547633596.171 * [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))) 1547633596.171 * * [misc]simplify: iters left: 6 (17 enodes) 1547633596.177 * * [misc]simplify: iters left: 5 (29 enodes) 1547633596.185 * * [misc]simplify: iters left: 4 (40 enodes) 1547633596.196 * * [misc]simplify: iters left: 3 (59 enodes) 1547633596.204 * * [misc]simplify: iters left: 2 (81 enodes) 1547633596.217 * * [misc]simplify: iters left: 1 (160 enodes) 1547633596.264 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547633596.264 * [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))))))) 1547633596.264 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633596.264 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.268 * * [misc]simplify: iters left: 5 (28 enodes) 1547633596.272 * * [misc]simplify: iters left: 4 (33 enodes) 1547633596.277 * * [misc]simplify: iters left: 3 (39 enodes) 1547633596.281 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547633596.281 * [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)))))) 1547633596.281 * * * * [misc]progress: [ 78 / 266 ] simplifiying candidate # 1547633596.282 * [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))) 1547633596.282 * * [misc]simplify: iters left: 6 (17 enodes) 1547633596.285 * * [misc]simplify: iters left: 5 (29 enodes) 1547633596.289 * * [misc]simplify: iters left: 4 (40 enodes) 1547633596.296 * * [misc]simplify: iters left: 3 (59 enodes) 1547633596.304 * * [misc]simplify: iters left: 2 (81 enodes) 1547633596.320 * * [misc]simplify: iters left: 1 (160 enodes) 1547633596.378 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547633596.378 * [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))))))) 1547633596.379 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633596.379 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.384 * * [misc]simplify: iters left: 5 (28 enodes) 1547633596.390 * * [misc]simplify: iters left: 4 (33 enodes) 1547633596.398 * * [misc]simplify: iters left: 3 (39 enodes) 1547633596.406 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547633596.406 * [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)))))) 1547633596.406 * * * * [misc]progress: [ 79 / 266 ] simplifiying candidate # 1547633596.406 * [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))))) 1547633596.406 * * [misc]simplify: iters left: 6 (16 enodes) 1547633596.411 * * [misc]simplify: iters left: 5 (26 enodes) 1547633596.417 * * [misc]simplify: iters left: 4 (37 enodes) 1547633596.429 * * [misc]simplify: iters left: 3 (56 enodes) 1547633596.441 * * [misc]simplify: iters left: 2 (78 enodes) 1547633596.460 * * [misc]simplify: iters left: 1 (140 enodes) 1547633596.489 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633596.489 * [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))))))) 1547633596.490 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633596.490 * * [misc]simplify: iters left: 6 (15 enodes) 1547633596.493 * * [misc]simplify: iters left: 5 (23 enodes) 1547633596.496 * * [misc]simplify: iters left: 4 (30 enodes) 1547633596.501 * * [misc]simplify: iters left: 3 (36 enodes) 1547633596.509 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633596.509 * [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))))))) 1547633596.509 * * * * [misc]progress: [ 80 / 266 ] simplifiying candidate # 1547633596.509 * [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))))))) 1547633596.510 * * [misc]simplify: iters left: 6 (19 enodes) 1547633596.516 * * [misc]simplify: iters left: 5 (32 enodes) 1547633596.527 * * [misc]simplify: iters left: 4 (47 enodes) 1547633596.543 * * [misc]simplify: iters left: 3 (78 enodes) 1547633596.567 * * [misc]simplify: iters left: 2 (146 enodes) 1547633596.657 * * [misc]simplify: iters left: 1 (394 enodes) 1547633596.822 * [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)))))) 1547633596.822 * [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)))))))) 1547633596.822 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633596.822 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.825 * * [misc]simplify: iters left: 5 (27 enodes) 1547633596.829 * * [misc]simplify: iters left: 4 (34 enodes) 1547633596.834 * * [misc]simplify: iters left: 3 (40 enodes) 1547633596.839 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633596.839 * [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)))))))) 1547633596.839 * * * * [misc]progress: [ 81 / 266 ] simplifiying candidate # 1547633596.839 * [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)))))) 1547633596.839 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.842 * * [misc]simplify: iters left: 5 (29 enodes) 1547633596.849 * * [misc]simplify: iters left: 4 (40 enodes) 1547633596.855 * * [misc]simplify: iters left: 3 (59 enodes) 1547633596.863 * * [misc]simplify: iters left: 2 (81 enodes) 1547633596.876 * * [misc]simplify: iters left: 1 (161 enodes) 1547633596.920 * [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)))))) 1547633596.921 * [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)))))))) 1547633596.921 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633596.921 * * [misc]simplify: iters left: 6 (18 enodes) 1547633596.924 * * [misc]simplify: iters left: 5 (27 enodes) 1547633596.928 * * [misc]simplify: iters left: 4 (34 enodes) 1547633596.934 * * [misc]simplify: iters left: 3 (40 enodes) 1547633596.939 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633596.939 * [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)))))))) 1547633596.939 * * * * [misc]progress: [ 82 / 266 ] simplifiying candidate # 1547633596.939 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1547633596.939 * * [misc]simplify: iters left: 6 (14 enodes) 1547633596.942 * * [misc]simplify: iters left: 5 (21 enodes) 1547633596.945 * * [misc]simplify: iters left: 4 (29 enodes) 1547633596.949 * * [misc]simplify: iters left: 3 (39 enodes) 1547633596.956 * * [misc]simplify: iters left: 2 (51 enodes) 1547633596.968 * * [misc]simplify: iters left: 1 (79 enodes) 1547633596.988 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633596.988 * [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))))))) 1547633596.988 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633596.988 * * [misc]simplify: iters left: 6 (17 enodes) 1547633596.991 * * [misc]simplify: iters left: 5 (26 enodes) 1547633596.995 * * [misc]simplify: iters left: 4 (33 enodes) 1547633597.000 * * [misc]simplify: iters left: 3 (39 enodes) 1547633597.005 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633597.005 * [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))))))) 1547633597.005 * * * * [misc]progress: [ 83 / 266 ] simplifiying candidate # 1547633597.005 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1547633597.005 * * [misc]simplify: iters left: 6 (13 enodes) 1547633597.008 * * [misc]simplify: iters left: 5 (21 enodes) 1547633597.011 * * [misc]simplify: iters left: 4 (31 enodes) 1547633597.015 * * [misc]simplify: iters left: 3 (46 enodes) 1547633597.023 * * [misc]simplify: iters left: 2 (72 enodes) 1547633597.043 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633597.043 * [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))))))) 1547633597.044 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633597.044 * * [misc]simplify: iters left: 6 (17 enodes) 1547633597.050 * * [misc]simplify: iters left: 5 (26 enodes) 1547633597.057 * * [misc]simplify: iters left: 4 (33 enodes) 1547633597.066 * * [misc]simplify: iters left: 3 (39 enodes) 1547633597.075 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633597.075 * [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))))))) 1547633597.075 * * * * [misc]progress: [ 84 / 266 ] simplifiying candidate # 1547633597.076 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1547633597.076 * * [misc]simplify: iters left: 6 (14 enodes) 1547633597.081 * * [misc]simplify: iters left: 5 (22 enodes) 1547633597.087 * * [misc]simplify: iters left: 4 (28 enodes) 1547633597.096 * * [misc]simplify: iters left: 3 (33 enodes) 1547633597.104 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1547633597.104 * [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))))))) 1547633597.105 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547633597.105 * * [misc]simplify: iters left: 6 (16 enodes) 1547633597.109 * * [misc]simplify: iters left: 5 (25 enodes) 1547633597.113 * * [misc]simplify: iters left: 4 (32 enodes) 1547633597.118 * * [misc]simplify: iters left: 3 (45 enodes) 1547633597.123 * * [misc]simplify: iters left: 2 (47 enodes) 1547633597.127 * * [misc]simplify: iters left: 1 (52 enodes) 1547633597.133 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633597.133 * [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))))))) 1547633597.133 * * * * [misc]progress: [ 85 / 266 ] simplifiying candidate # 1547633597.133 * [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))) 1547633597.133 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.136 * * [misc]simplify: iters left: 5 (30 enodes) 1547633597.141 * * [misc]simplify: iters left: 4 (41 enodes) 1547633597.147 * * [misc]simplify: iters left: 3 (57 enodes) 1547633597.155 * * [misc]simplify: iters left: 2 (69 enodes) 1547633597.163 * * [misc]simplify: iters left: 1 (75 enodes) 1547633597.182 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1547633597.182 * [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))))) 1547633597.183 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1547633597.183 * * [misc]simplify: iters left: 6 (15 enodes) 1547633597.188 * * [misc]simplify: iters left: 5 (22 enodes) 1547633597.195 * * [misc]simplify: iters left: 4 (26 enodes) 1547633597.202 * * [misc]simplify: iters left: 3 (30 enodes) 1547633597.209 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1547633597.209 * [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))))) 1547633597.210 * * * * [misc]progress: [ 86 / 266 ] simplifiying candidate # 1547633597.210 * [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))))))) 1547633597.210 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.216 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.224 * * [misc]simplify: iters left: 4 (32 enodes) 1547633597.233 * * [misc]simplify: iters left: 3 (36 enodes) 1547633597.239 * [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)))))) 1547633597.239 * [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)))))))) 1547633597.239 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633597.239 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.242 * * [misc]simplify: iters left: 5 (25 enodes) 1547633597.246 * * [misc]simplify: iters left: 4 (29 enodes) 1547633597.250 * * [misc]simplify: iters left: 3 (33 enodes) 1547633597.254 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633597.254 * [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)))))))) 1547633597.254 * * * * [misc]progress: [ 87 / 266 ] simplifiying candidate # 1547633597.254 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633597.254 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.258 * * [misc]simplify: iters left: 5 (25 enodes) 1547633597.262 * * [misc]simplify: iters left: 4 (29 enodes) 1547633597.266 * * [misc]simplify: iters left: 3 (33 enodes) 1547633597.273 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633597.273 * [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)))))))) 1547633597.274 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633597.274 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.280 * * [misc]simplify: iters left: 5 (25 enodes) 1547633597.287 * * [misc]simplify: iters left: 4 (29 enodes) 1547633597.295 * * [misc]simplify: iters left: 3 (33 enodes) 1547633597.301 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633597.301 * [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)))))))) 1547633597.301 * * * * [misc]progress: [ 88 / 266 ] simplifiying candidate # 1547633597.301 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633597.301 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.305 * * [misc]simplify: iters left: 5 (31 enodes) 1547633597.309 * * [misc]simplify: iters left: 4 (42 enodes) 1547633597.316 * * [misc]simplify: iters left: 3 (58 enodes) 1547633597.323 * * [misc]simplify: iters left: 2 (63 enodes) 1547633597.330 * * [misc]simplify: iters left: 1 (70 enodes) 1547633597.346 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1547633597.346 * [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))))))) 1547633597.346 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633597.347 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.353 * * [misc]simplify: iters left: 5 (29 enodes) 1547633597.360 * * [misc]simplify: iters left: 4 (34 enodes) 1547633597.368 * * [misc]simplify: iters left: 3 (40 enodes) 1547633597.374 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633597.374 * [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)))))) 1547633597.374 * * * * [misc]progress: [ 89 / 266 ] simplifiying candidate # 1547633597.374 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633597.374 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.378 * * [misc]simplify: iters left: 5 (31 enodes) 1547633597.382 * * [misc]simplify: iters left: 4 (42 enodes) 1547633597.389 * * [misc]simplify: iters left: 3 (58 enodes) 1547633597.396 * * [misc]simplify: iters left: 2 (63 enodes) 1547633597.408 * * [misc]simplify: iters left: 1 (70 enodes) 1547633597.424 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1547633597.424 * [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))))))) 1547633597.425 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633597.425 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.431 * * [misc]simplify: iters left: 5 (29 enodes) 1547633597.439 * * [misc]simplify: iters left: 4 (34 enodes) 1547633597.448 * * [misc]simplify: iters left: 3 (40 enodes) 1547633597.453 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633597.453 * [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)))))) 1547633597.453 * * * * [misc]progress: [ 90 / 266 ] simplifiying candidate # 1547633597.453 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547633597.453 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.457 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.461 * * [misc]simplify: iters left: 4 (39 enodes) 1547633597.467 * * [misc]simplify: iters left: 3 (55 enodes) 1547633597.476 * * [misc]simplify: iters left: 2 (60 enodes) 1547633597.487 * * [misc]simplify: iters left: 1 (67 enodes) 1547633597.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547633597.495 * [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))))))) 1547633597.496 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633597.496 * * [misc]simplify: iters left: 6 (16 enodes) 1547633597.499 * * [misc]simplify: iters left: 5 (24 enodes) 1547633597.503 * * [misc]simplify: iters left: 4 (31 enodes) 1547633597.508 * * [misc]simplify: iters left: 3 (37 enodes) 1547633597.513 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633597.513 * [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))))))) 1547633597.513 * * * * [misc]progress: [ 91 / 266 ] simplifiying candidate # 1547633597.513 * [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))))))) 1547633597.513 * * [misc]simplify: iters left: 6 (21 enodes) 1547633597.518 * * [misc]simplify: iters left: 5 (36 enodes) 1547633597.523 * * [misc]simplify: iters left: 4 (58 enodes) 1547633597.536 * * [misc]simplify: iters left: 3 (85 enodes) 1547633597.549 * * [misc]simplify: iters left: 2 (115 enodes) 1547633597.575 * * [misc]simplify: iters left: 1 (139 enodes) 1547633597.620 * [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)))))) 1547633597.620 * [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)))))))) 1547633597.621 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633597.621 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.628 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.635 * * [misc]simplify: iters left: 4 (35 enodes) 1547633597.646 * * [misc]simplify: iters left: 3 (41 enodes) 1547633597.656 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547633597.656 * [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))))) 1547633597.656 * * * * [misc]progress: [ 92 / 266 ] simplifiying candidate # 1547633597.657 * [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)))))) 1547633597.657 * * [misc]simplify: iters left: 6 (20 enodes) 1547633597.664 * * [misc]simplify: iters left: 5 (31 enodes) 1547633597.673 * * [misc]simplify: iters left: 4 (42 enodes) 1547633597.685 * * [misc]simplify: iters left: 3 (58 enodes) 1547633597.698 * * [misc]simplify: iters left: 2 (63 enodes) 1547633597.714 * * [misc]simplify: iters left: 1 (70 enodes) 1547633597.732 * [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)))))) 1547633597.732 * [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)))))))) 1547633597.732 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633597.732 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.739 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.747 * * [misc]simplify: iters left: 4 (35 enodes) 1547633597.757 * * [misc]simplify: iters left: 3 (41 enodes) 1547633597.767 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1547633597.768 * [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))))) 1547633597.768 * * * * [misc]progress: [ 93 / 266 ] simplifiying candidate # 1547633597.768 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547633597.768 * * [misc]simplify: iters left: 6 (16 enodes) 1547633597.774 * * [misc]simplify: iters left: 5 (26 enodes) 1547633597.783 * * [misc]simplify: iters left: 4 (41 enodes) 1547633597.794 * * [misc]simplify: iters left: 3 (63 enodes) 1547633597.810 * * [misc]simplify: iters left: 2 (129 enodes) 1547633597.839 * * [misc]simplify: iters left: 1 (190 enodes) 1547633597.855 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633597.855 * [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))))))) 1547633597.855 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633597.855 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.859 * * [misc]simplify: iters left: 5 (27 enodes) 1547633597.866 * * [misc]simplify: iters left: 4 (34 enodes) 1547633597.876 * * [misc]simplify: iters left: 3 (40 enodes) 1547633597.884 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633597.884 * [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))))))) 1547633597.885 * * * * [misc]progress: [ 94 / 266 ] simplifiying candidate # 1547633597.885 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633597.885 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.891 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.897 * * [misc]simplify: iters left: 4 (35 enodes) 1547633597.907 * * [misc]simplify: iters left: 3 (41 enodes) 1547633597.917 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1547633597.917 * [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))))))) 1547633597.917 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633597.918 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.924 * * [misc]simplify: iters left: 5 (29 enodes) 1547633597.932 * * [misc]simplify: iters left: 4 (34 enodes) 1547633597.944 * * [misc]simplify: iters left: 3 (40 enodes) 1547633597.954 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633597.955 * [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)))))) 1547633597.955 * * * * [misc]progress: [ 95 / 266 ] simplifiying candidate # 1547633597.955 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633597.955 * * [misc]simplify: iters left: 6 (18 enodes) 1547633597.962 * * [misc]simplify: iters left: 5 (28 enodes) 1547633597.970 * * [misc]simplify: iters left: 4 (35 enodes) 1547633597.981 * * [misc]simplify: iters left: 3 (41 enodes) 1547633597.987 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1547633597.987 * [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))))))) 1547633597.987 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633597.987 * * [misc]simplify: iters left: 6 (19 enodes) 1547633597.991 * * [misc]simplify: iters left: 5 (29 enodes) 1547633597.995 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.000 * * [misc]simplify: iters left: 3 (40 enodes) 1547633598.005 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633598.005 * [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)))))) 1547633598.005 * * * * [misc]progress: [ 96 / 266 ] simplifiying candidate # 1547633598.005 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547633598.006 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.009 * * [misc]simplify: iters left: 5 (25 enodes) 1547633598.013 * * [misc]simplify: iters left: 4 (32 enodes) 1547633598.022 * * [misc]simplify: iters left: 3 (38 enodes) 1547633598.031 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547633598.032 * [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))))))) 1547633598.032 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633598.032 * * [misc]simplify: iters left: 6 (16 enodes) 1547633598.038 * * [misc]simplify: iters left: 5 (24 enodes) 1547633598.044 * * [misc]simplify: iters left: 4 (31 enodes) 1547633598.054 * * [misc]simplify: iters left: 3 (37 enodes) 1547633598.063 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633598.063 * [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))))))) 1547633598.063 * * * * [misc]progress: [ 97 / 266 ] simplifiying candidate # 1547633598.063 * [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))))))) 1547633598.064 * * [misc]simplify: iters left: 6 (20 enodes) 1547633598.071 * * [misc]simplify: iters left: 5 (31 enodes) 1547633598.077 * * [misc]simplify: iters left: 4 (40 enodes) 1547633598.083 * * [misc]simplify: iters left: 3 (53 enodes) 1547633598.090 * * [misc]simplify: iters left: 2 (61 enodes) 1547633598.097 * * [misc]simplify: iters left: 1 (63 enodes) 1547633598.105 * [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)))))) 1547633598.105 * [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)))))))) 1547633598.105 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.105 * * [misc]simplify: iters left: 6 (19 enodes) 1547633598.110 * * [misc]simplify: iters left: 5 (28 enodes) 1547633598.118 * * [misc]simplify: iters left: 4 (35 enodes) 1547633598.131 * * [misc]simplify: iters left: 3 (41 enodes) 1547633598.141 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633598.141 * [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))))) 1547633598.141 * * * * [misc]progress: [ 98 / 266 ] simplifiying candidate # 1547633598.142 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.142 * * [misc]simplify: iters left: 6 (19 enodes) 1547633598.149 * * [misc]simplify: iters left: 5 (28 enodes) 1547633598.157 * * [misc]simplify: iters left: 4 (35 enodes) 1547633598.163 * * [misc]simplify: iters left: 3 (41 enodes) 1547633598.168 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633598.168 * [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)))))))) 1547633598.168 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.168 * * [misc]simplify: iters left: 6 (19 enodes) 1547633598.172 * * [misc]simplify: iters left: 5 (28 enodes) 1547633598.176 * * [misc]simplify: iters left: 4 (35 enodes) 1547633598.182 * * [misc]simplify: iters left: 3 (41 enodes) 1547633598.187 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633598.188 * [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))))) 1547633598.188 * * * * [misc]progress: [ 99 / 266 ] simplifiying candidate # 1547633598.188 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1547633598.188 * * [misc]simplify: iters left: 6 (15 enodes) 1547633598.194 * * [misc]simplify: iters left: 5 (23 enodes) 1547633598.201 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.209 * * [misc]simplify: iters left: 3 (39 enodes) 1547633598.219 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633598.219 * [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))))))) 1547633598.219 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633598.219 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.226 * * [misc]simplify: iters left: 5 (27 enodes) 1547633598.234 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.242 * * [misc]simplify: iters left: 3 (40 enodes) 1547633598.247 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633598.247 * [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))))))) 1547633598.247 * * * * [misc]progress: [ 100 / 266 ] simplifiying candidate # 1547633598.247 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1547633598.248 * * [misc]simplify: iters left: 6 (16 enodes) 1547633598.251 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.254 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.259 * * [misc]simplify: iters left: 3 (46 enodes) 1547633598.265 * * [misc]simplify: iters left: 2 (48 enodes) 1547633598.271 * * [misc]simplify: iters left: 1 (53 enodes) 1547633598.283 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547633598.284 * [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))))))) 1547633598.284 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633598.284 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.291 * * [misc]simplify: iters left: 5 (28 enodes) 1547633598.298 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.305 * * [misc]simplify: iters left: 3 (39 enodes) 1547633598.310 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547633598.310 * [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)))))) 1547633598.310 * * * * [misc]progress: [ 101 / 266 ] simplifiying candidate # 1547633598.310 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1547633598.310 * * [misc]simplify: iters left: 6 (16 enodes) 1547633598.313 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.317 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.322 * * [misc]simplify: iters left: 3 (46 enodes) 1547633598.327 * * [misc]simplify: iters left: 2 (48 enodes) 1547633598.332 * * [misc]simplify: iters left: 1 (53 enodes) 1547633598.344 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547633598.344 * [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))))))) 1547633598.345 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633598.345 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.349 * * [misc]simplify: iters left: 5 (28 enodes) 1547633598.353 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.358 * * [misc]simplify: iters left: 3 (39 enodes) 1547633598.363 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1547633598.363 * [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)))))) 1547633598.363 * * * * [misc]progress: [ 102 / 266 ] simplifiying candidate # 1547633598.363 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1547633598.363 * * [misc]simplify: iters left: 6 (15 enodes) 1547633598.366 * * [misc]simplify: iters left: 5 (23 enodes) 1547633598.369 * * [misc]simplify: iters left: 4 (30 enodes) 1547633598.374 * * [misc]simplify: iters left: 3 (43 enodes) 1547633598.379 * * [misc]simplify: iters left: 2 (45 enodes) 1547633598.384 * * [misc]simplify: iters left: 1 (50 enodes) 1547633598.389 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547633598.389 * [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))))))) 1547633598.389 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633598.389 * * [misc]simplify: iters left: 6 (15 enodes) 1547633598.393 * * [misc]simplify: iters left: 5 (23 enodes) 1547633598.397 * * [misc]simplify: iters left: 4 (30 enodes) 1547633598.406 * * [misc]simplify: iters left: 3 (36 enodes) 1547633598.415 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633598.415 * [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))))))) 1547633598.415 * * * * [misc]progress: [ 103 / 266 ] simplifiying candidate # 1547633598.415 * [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))))))) 1547633598.415 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.422 * * [misc]simplify: iters left: 5 (29 enodes) 1547633598.430 * * [misc]simplify: iters left: 4 (38 enodes) 1547633598.442 * * [misc]simplify: iters left: 3 (55 enodes) 1547633598.457 * * [misc]simplify: iters left: 2 (64 enodes) 1547633598.465 * * [misc]simplify: iters left: 1 (74 enodes) 1547633598.475 * [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)))))) 1547633598.475 * [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)))))))) 1547633598.475 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.475 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.478 * * [misc]simplify: iters left: 5 (27 enodes) 1547633598.482 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.487 * * [misc]simplify: iters left: 3 (40 enodes) 1547633598.497 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633598.497 * [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)))))))) 1547633598.497 * * * * [misc]progress: [ 104 / 266 ] simplifiying candidate # 1547633598.497 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.497 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.503 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.512 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.522 * * [misc]simplify: iters left: 3 (46 enodes) 1547633598.533 * * [misc]simplify: iters left: 2 (48 enodes) 1547633598.539 * * [misc]simplify: iters left: 1 (53 enodes) 1547633598.545 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547633598.545 * [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)))))))) 1547633598.545 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.545 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.548 * * [misc]simplify: iters left: 5 (27 enodes) 1547633598.552 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.557 * * [misc]simplify: iters left: 3 (40 enodes) 1547633598.561 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1547633598.562 * [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)))))))) 1547633598.562 * * * * [misc]progress: [ 105 / 266 ] simplifiying candidate # 1547633598.562 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1547633598.562 * * [misc]simplify: iters left: 6 (13 enodes) 1547633598.565 * * [misc]simplify: iters left: 5 (18 enodes) 1547633598.571 * * [misc]simplify: iters left: 4 (26 enodes) 1547633598.578 * * [misc]simplify: iters left: 3 (30 enodes) 1547633598.582 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547633598.582 * [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))))))) 1547633598.582 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633598.582 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.586 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.589 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.594 * * [misc]simplify: iters left: 3 (39 enodes) 1547633598.600 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633598.600 * [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))))))) 1547633598.600 * * * * [misc]progress: [ 106 / 266 ] simplifiying candidate # 1547633598.600 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1547633598.600 * * [misc]simplify: iters left: 6 (12 enodes) 1547633598.603 * * [misc]simplify: iters left: 5 (18 enodes) 1547633598.605 * * [misc]simplify: iters left: 4 (24 enodes) 1547633598.609 * * [misc]simplify: iters left: 3 (25 enodes) 1547633598.616 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547633598.616 * [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))))))) 1547633598.617 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633598.617 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.623 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.631 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.638 * * [misc]simplify: iters left: 3 (39 enodes) 1547633598.643 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633598.643 * [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))))))) 1547633598.643 * * * * [misc]progress: [ 107 / 266 ] simplifiying candidate # 1547633598.643 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1547633598.643 * * [misc]simplify: iters left: 6 (13 enodes) 1547633598.646 * * [misc]simplify: iters left: 5 (19 enodes) 1547633598.649 * * [misc]simplify: iters left: 4 (23 enodes) 1547633598.652 * * [misc]simplify: iters left: 3 (27 enodes) 1547633598.655 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633598.655 * [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))))))) 1547633598.656 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547633598.656 * * [misc]simplify: iters left: 6 (16 enodes) 1547633598.659 * * [misc]simplify: iters left: 5 (25 enodes) 1547633598.662 * * [misc]simplify: iters left: 4 (32 enodes) 1547633598.671 * * [misc]simplify: iters left: 3 (45 enodes) 1547633598.683 * * [misc]simplify: iters left: 2 (47 enodes) 1547633598.690 * * [misc]simplify: iters left: 1 (52 enodes) 1547633598.695 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1547633598.695 * [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))))))) 1547633598.695 * * * * [misc]progress: [ 108 / 266 ] simplifiying candidate # 1547633598.696 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1547633598.696 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.699 * * [misc]simplify: iters left: 5 (27 enodes) 1547633598.703 * * [misc]simplify: iters left: 4 (34 enodes) 1547633598.708 * * [misc]simplify: iters left: 3 (40 enodes) 1547633598.713 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1547633598.713 * [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))))) 1547633598.713 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1547633598.713 * * [misc]simplify: iters left: 6 (15 enodes) 1547633598.716 * * [misc]simplify: iters left: 5 (22 enodes) 1547633598.723 * * [misc]simplify: iters left: 4 (26 enodes) 1547633598.731 * * [misc]simplify: iters left: 3 (30 enodes) 1547633598.738 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1547633598.738 * [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))))) 1547633598.738 * * * * [misc]progress: [ 109 / 266 ] simplifiying candidate # 1547633598.739 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633598.739 * * [misc]simplify: iters left: 6 (14 enodes) 1547633598.743 * * [misc]simplify: iters left: 5 (21 enodes) 1547633598.749 * * [misc]simplify: iters left: 4 (24 enodes) 1547633598.756 * [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)))))) 1547633598.757 * [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)))))))) 1547633598.757 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.757 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.763 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.770 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.780 * * [misc]simplify: iters left: 3 (45 enodes) 1547633598.793 * * [misc]simplify: iters left: 2 (70 enodes) 1547633598.813 * * [misc]simplify: iters left: 1 (91 enodes) 1547633598.828 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.828 * [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)))))))) 1547633598.828 * * * * [misc]progress: [ 110 / 266 ] simplifiying candidate # 1547633598.828 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.828 * * [misc]simplify: iters left: 6 (13 enodes) 1547633598.830 * * [misc]simplify: iters left: 5 (18 enodes) 1547633598.833 * * [misc]simplify: iters left: 4 (21 enodes) 1547633598.836 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.836 * [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)))))))) 1547633598.836 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.836 * * [misc]simplify: iters left: 6 (17 enodes) 1547633598.841 * * [misc]simplify: iters left: 5 (26 enodes) 1547633598.848 * * [misc]simplify: iters left: 4 (33 enodes) 1547633598.857 * * [misc]simplify: iters left: 3 (45 enodes) 1547633598.871 * * [misc]simplify: iters left: 2 (70 enodes) 1547633598.891 * * [misc]simplify: iters left: 1 (91 enodes) 1547633598.906 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633598.906 * [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)))))))) 1547633598.906 * * * * [misc]progress: [ 111 / 266 ] simplifiying candidate # 1547633598.906 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633598.906 * * [misc]simplify: iters left: 6 (12 enodes) 1547633598.908 * * [misc]simplify: iters left: 5 (20 enodes) 1547633598.911 * * [misc]simplify: iters left: 4 (27 enodes) 1547633598.915 * * [misc]simplify: iters left: 3 (37 enodes) 1547633598.924 * * [misc]simplify: iters left: 2 (64 enodes) 1547633598.945 * * [misc]simplify: iters left: 1 (93 enodes) 1547633598.977 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633598.978 * [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))))))) 1547633598.978 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633598.978 * * [misc]simplify: iters left: 6 (18 enodes) 1547633598.984 * * [misc]simplify: iters left: 5 (30 enodes) 1547633598.991 * * [misc]simplify: iters left: 4 (41 enodes) 1547633599.004 * * [misc]simplify: iters left: 3 (76 enodes) 1547633599.024 * * [misc]simplify: iters left: 2 (142 enodes) 1547633599.074 * * [misc]simplify: iters left: 1 (391 enodes) 1547633599.318 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633599.318 * [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))))))) 1547633599.319 * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # 1547633599.319 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633599.319 * * [misc]simplify: iters left: 6 (12 enodes) 1547633599.322 * * [misc]simplify: iters left: 5 (20 enodes) 1547633599.327 * * [misc]simplify: iters left: 4 (27 enodes) 1547633599.334 * * [misc]simplify: iters left: 3 (37 enodes) 1547633599.345 * * [misc]simplify: iters left: 2 (64 enodes) 1547633599.365 * * [misc]simplify: iters left: 1 (93 enodes) 1547633599.389 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633599.389 * [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))))))) 1547633599.390 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633599.390 * * [misc]simplify: iters left: 6 (18 enodes) 1547633599.399 * * [misc]simplify: iters left: 5 (30 enodes) 1547633599.408 * * [misc]simplify: iters left: 4 (41 enodes) 1547633599.423 * * [misc]simplify: iters left: 3 (76 enodes) 1547633599.449 * * [misc]simplify: iters left: 2 (142 enodes) 1547633599.535 * * [misc]simplify: iters left: 1 (391 enodes) 1547633599.777 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633599.777 * [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))))))) 1547633599.777 * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # 1547633599.777 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547633599.777 * * [misc]simplify: iters left: 6 (13 enodes) 1547633599.779 * * [misc]simplify: iters left: 5 (21 enodes) 1547633599.782 * * [misc]simplify: iters left: 4 (31 enodes) 1547633599.788 * * [misc]simplify: iters left: 3 (51 enodes) 1547633599.798 * * [misc]simplify: iters left: 2 (90 enodes) 1547633599.821 * * [misc]simplify: iters left: 1 (181 enodes) 1547633599.905 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633599.906 * [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))))))) 1547633599.906 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633599.906 * * [misc]simplify: iters left: 6 (15 enodes) 1547633599.912 * * [misc]simplify: iters left: 5 (25 enodes) 1547633599.919 * * [misc]simplify: iters left: 4 (38 enodes) 1547633599.931 * * [misc]simplify: iters left: 3 (73 enodes) 1547633599.954 * * [misc]simplify: iters left: 2 (139 enodes) 1547633600.001 * * [misc]simplify: iters left: 1 (375 enodes) 1547633600.177 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547633600.177 * [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)))))) 1547633600.178 * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # 1547633600.178 * [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))))))) 1547633600.178 * * [misc]simplify: iters left: 6 (16 enodes) 1547633600.183 * * [misc]simplify: iters left: 5 (29 enodes) 1547633600.192 * * [misc]simplify: iters left: 4 (50 enodes) 1547633600.206 * * [misc]simplify: iters left: 3 (70 enodes) 1547633600.231 * * [misc]simplify: iters left: 2 (169 enodes) 1547633600.299 * [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)))) 1547633600.299 * [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)))))))) 1547633600.300 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633600.300 * * [misc]simplify: iters left: 6 (18 enodes) 1547633600.305 * * [misc]simplify: iters left: 5 (29 enodes) 1547633600.312 * * [misc]simplify: iters left: 4 (42 enodes) 1547633600.324 * * [misc]simplify: iters left: 3 (77 enodes) 1547633600.346 * * [misc]simplify: iters left: 2 (143 enodes) 1547633600.406 * * [misc]simplify: iters left: 1 (394 enodes) 1547633600.699 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547633600.699 * [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)))))) 1547633600.699 * * * * [misc]progress: [ 115 / 266 ] simplifiying candidate # 1547633600.699 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633600.700 * * [misc]simplify: iters left: 6 (15 enodes) 1547633600.705 * * [misc]simplify: iters left: 5 (24 enodes) 1547633600.712 * * [misc]simplify: iters left: 4 (34 enodes) 1547633600.722 * * [misc]simplify: iters left: 3 (54 enodes) 1547633600.739 * * [misc]simplify: iters left: 2 (93 enodes) 1547633600.754 * * [misc]simplify: iters left: 1 (182 enodes) 1547633600.811 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633600.811 * [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)))))))) 1547633600.812 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633600.812 * * [misc]simplify: iters left: 6 (18 enodes) 1547633600.819 * * [misc]simplify: iters left: 5 (29 enodes) 1547633600.827 * * [misc]simplify: iters left: 4 (42 enodes) 1547633600.842 * * [misc]simplify: iters left: 3 (77 enodes) 1547633600.860 * * [misc]simplify: iters left: 2 (143 enodes) 1547633600.927 * * [misc]simplify: iters left: 1 (394 enodes) 1547633601.157 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547633601.157 * [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)))))) 1547633601.158 * * * * [misc]progress: [ 116 / 266 ] simplifiying candidate # 1547633601.158 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547633601.158 * * [misc]simplify: iters left: 6 (7 enodes) 1547633601.161 * * [misc]simplify: iters left: 5 (13 enodes) 1547633601.165 * * [misc]simplify: iters left: 4 (22 enodes) 1547633601.171 * * [misc]simplify: iters left: 3 (24 enodes) 1547633601.176 * * [misc]simplify: iters left: 2 (29 enodes) 1547633601.182 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547633601.182 * [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))))))) 1547633601.182 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633601.183 * * [misc]simplify: iters left: 6 (17 enodes) 1547633601.189 * * [misc]simplify: iters left: 5 (28 enodes) 1547633601.197 * * [misc]simplify: iters left: 4 (41 enodes) 1547633601.211 * * [misc]simplify: iters left: 3 (76 enodes) 1547633601.225 * * [misc]simplify: iters left: 2 (142 enodes) 1547633601.271 * * [misc]simplify: iters left: 1 (380 enodes) 1547633601.530 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633601.531 * [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))))))) 1547633601.531 * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # 1547633601.531 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633601.531 * * [misc]simplify: iters left: 6 (11 enodes) 1547633601.533 * * [misc]simplify: iters left: 5 (17 enodes) 1547633601.535 * * [misc]simplify: iters left: 4 (20 enodes) 1547633601.538 * * [misc]simplify: iters left: 3 (22 enodes) 1547633601.543 * * [misc]simplify: iters left: 2 (34 enodes) 1547633601.552 * * [misc]simplify: iters left: 1 (42 enodes) 1547633601.561 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633601.561 * [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))))))) 1547633601.561 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633601.561 * * [misc]simplify: iters left: 6 (18 enodes) 1547633601.568 * * [misc]simplify: iters left: 5 (30 enodes) 1547633601.577 * * [misc]simplify: iters left: 4 (41 enodes) 1547633601.590 * * [misc]simplify: iters left: 3 (76 enodes) 1547633601.620 * * [misc]simplify: iters left: 2 (142 enodes) 1547633601.680 * * [misc]simplify: iters left: 1 (391 enodes) 1547633601.963 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633601.963 * [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))))))) 1547633601.963 * * * * [misc]progress: [ 118 / 266 ] simplifiying candidate # 1547633601.963 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633601.963 * * [misc]simplify: iters left: 6 (11 enodes) 1547633601.965 * * [misc]simplify: iters left: 5 (17 enodes) 1547633601.967 * * [misc]simplify: iters left: 4 (20 enodes) 1547633601.970 * * [misc]simplify: iters left: 3 (22 enodes) 1547633601.974 * * [misc]simplify: iters left: 2 (34 enodes) 1547633601.978 * * [misc]simplify: iters left: 1 (42 enodes) 1547633601.983 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633601.983 * [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))))))) 1547633601.983 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633601.983 * * [misc]simplify: iters left: 6 (18 enodes) 1547633601.989 * * [misc]simplify: iters left: 5 (30 enodes) 1547633601.999 * * [misc]simplify: iters left: 4 (41 enodes) 1547633602.006 * * [misc]simplify: iters left: 3 (76 enodes) 1547633602.020 * * [misc]simplify: iters left: 2 (142 enodes) 1547633602.107 * * [misc]simplify: iters left: 1 (391 enodes) 1547633602.415 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633602.415 * [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))))))) 1547633602.415 * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # 1547633602.416 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547633602.416 * * [misc]simplify: iters left: 6 (12 enodes) 1547633602.420 * * [misc]simplify: iters left: 5 (18 enodes) 1547633602.425 * * [misc]simplify: iters left: 4 (24 enodes) 1547633602.432 * * [misc]simplify: iters left: 3 (32 enodes) 1547633602.437 * * [misc]simplify: iters left: 2 (41 enodes) 1547633602.442 * * [misc]simplify: iters left: 1 (51 enodes) 1547633602.448 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633602.448 * [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))))))) 1547633602.448 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633602.448 * * [misc]simplify: iters left: 6 (15 enodes) 1547633602.451 * * [misc]simplify: iters left: 5 (25 enodes) 1547633602.454 * * [misc]simplify: iters left: 4 (38 enodes) 1547633602.463 * * [misc]simplify: iters left: 3 (73 enodes) 1547633602.510 * * [misc]simplify: iters left: 2 (139 enodes) 1547633602.573 * * [misc]simplify: iters left: 1 (375 enodes) 1547633602.806 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547633602.806 * [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)))))) 1547633602.806 * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # 1547633602.806 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633602.806 * * [misc]simplify: iters left: 6 (15 enodes) 1547633602.809 * * [misc]simplify: iters left: 5 (24 enodes) 1547633602.816 * * [misc]simplify: iters left: 4 (32 enodes) 1547633602.825 * * [misc]simplify: iters left: 3 (43 enodes) 1547633602.838 * * [misc]simplify: iters left: 2 (69 enodes) 1547633602.857 * * [misc]simplify: iters left: 1 (119 enodes) 1547633602.886 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633602.886 * [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)))))))) 1547633602.886 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633602.886 * * [misc]simplify: iters left: 6 (18 enodes) 1547633602.890 * * [misc]simplify: iters left: 5 (29 enodes) 1547633602.894 * * [misc]simplify: iters left: 4 (42 enodes) 1547633602.906 * * [misc]simplify: iters left: 3 (77 enodes) 1547633602.933 * * [misc]simplify: iters left: 2 (143 enodes) 1547633603.029 * * [misc]simplify: iters left: 1 (394 enodes) 1547633603.289 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547633603.289 * [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)))))) 1547633603.289 * * * * [misc]progress: [ 121 / 266 ] simplifiying candidate # 1547633603.289 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633603.289 * * [misc]simplify: iters left: 6 (14 enodes) 1547633603.291 * * [misc]simplify: iters left: 5 (21 enodes) 1547633603.294 * * [misc]simplify: iters left: 4 (27 enodes) 1547633603.298 * * [misc]simplify: iters left: 3 (35 enodes) 1547633603.303 * * [misc]simplify: iters left: 2 (43 enodes) 1547633603.309 * * [misc]simplify: iters left: 1 (56 enodes) 1547633603.323 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633603.323 * [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)))))))) 1547633603.324 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633603.324 * * [misc]simplify: iters left: 6 (18 enodes) 1547633603.330 * * [misc]simplify: iters left: 5 (29 enodes) 1547633603.338 * * [misc]simplify: iters left: 4 (42 enodes) 1547633603.351 * * [misc]simplify: iters left: 3 (77 enodes) 1547633603.379 * * [misc]simplify: iters left: 2 (143 enodes) 1547633603.473 * * [misc]simplify: iters left: 1 (394 enodes) 1547633603.750 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547633603.750 * [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)))))) 1547633603.750 * * * * [misc]progress: [ 122 / 266 ] simplifiying candidate # 1547633603.751 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1547633603.751 * * [misc]simplify: iters left: 6 (6 enodes) 1547633603.753 * * [misc]simplify: iters left: 5 (10 enodes) 1547633603.756 * * [misc]simplify: iters left: 4 (16 enodes) 1547633603.760 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547633603.760 * [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))))))) 1547633603.760 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633603.761 * * [misc]simplify: iters left: 6 (17 enodes) 1547633603.767 * * [misc]simplify: iters left: 5 (28 enodes) 1547633603.775 * * [misc]simplify: iters left: 4 (41 enodes) 1547633603.791 * * [misc]simplify: iters left: 3 (76 enodes) 1547633603.817 * * [misc]simplify: iters left: 2 (142 enodes) 1547633603.880 * * [misc]simplify: iters left: 1 (380 enodes) 1547633604.225 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633604.225 * [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))))))) 1547633604.225 * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # 1547633604.225 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547633604.225 * * [misc]simplify: iters left: 6 (8 enodes) 1547633604.227 * * [misc]simplify: iters left: 5 (14 enodes) 1547633604.229 * * [misc]simplify: iters left: 4 (15 enodes) 1547633604.231 * * [misc]simplify: iters left: 3 (19 enodes) 1547633604.233 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547633604.233 * [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))))))) 1547633604.233 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633604.234 * * [misc]simplify: iters left: 6 (17 enodes) 1547633604.237 * * [misc]simplify: iters left: 5 (29 enodes) 1547633604.241 * * [misc]simplify: iters left: 4 (40 enodes) 1547633604.248 * * [misc]simplify: iters left: 3 (75 enodes) 1547633604.262 * * [misc]simplify: iters left: 2 (141 enodes) 1547633604.319 * * [misc]simplify: iters left: 1 (379 enodes) 1547633604.571 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633604.572 * [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)))) 1547633604.572 * * * * [misc]progress: [ 124 / 266 ] simplifiying candidate # 1547633604.572 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547633604.572 * * [misc]simplify: iters left: 6 (8 enodes) 1547633604.574 * * [misc]simplify: iters left: 5 (14 enodes) 1547633604.575 * * [misc]simplify: iters left: 4 (15 enodes) 1547633604.578 * * [misc]simplify: iters left: 3 (19 enodes) 1547633604.580 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547633604.580 * [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))))))) 1547633604.580 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633604.580 * * [misc]simplify: iters left: 6 (17 enodes) 1547633604.583 * * [misc]simplify: iters left: 5 (29 enodes) 1547633604.587 * * [misc]simplify: iters left: 4 (40 enodes) 1547633604.594 * * [misc]simplify: iters left: 3 (75 enodes) 1547633604.609 * * [misc]simplify: iters left: 2 (141 enodes) 1547633604.677 * * [misc]simplify: iters left: 1 (379 enodes) 1547633604.905 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633604.906 * [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)))) 1547633604.906 * * * * [misc]progress: [ 125 / 266 ] simplifiying candidate # 1547633604.906 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1547633604.906 * * [misc]simplify: iters left: 6 (10 enodes) 1547633604.908 * * [misc]simplify: iters left: 5 (16 enodes) 1547633604.910 * * [misc]simplify: iters left: 4 (20 enodes) 1547633604.915 * * [misc]simplify: iters left: 3 (24 enodes) 1547633604.917 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547633604.918 * [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))))))) 1547633604.918 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633604.918 * * [misc]simplify: iters left: 6 (14 enodes) 1547633604.921 * * [misc]simplify: iters left: 5 (24 enodes) 1547633604.927 * * [misc]simplify: iters left: 4 (37 enodes) 1547633604.934 * * [misc]simplify: iters left: 3 (72 enodes) 1547633604.946 * * [misc]simplify: iters left: 2 (138 enodes) 1547633605.034 * * [misc]simplify: iters left: 1 (391 enodes) 1547633605.308 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1547633605.308 * [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)))) 1547633605.308 * * * * [misc]progress: [ 126 / 266 ] simplifiying candidate # 1547633605.308 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633605.308 * * [misc]simplify: iters left: 6 (13 enodes) 1547633605.311 * * [misc]simplify: iters left: 5 (22 enodes) 1547633605.314 * * [misc]simplify: iters left: 4 (26 enodes) 1547633605.318 * * [misc]simplify: iters left: 3 (32 enodes) 1547633605.322 * * [misc]simplify: iters left: 2 (34 enodes) 1547633605.326 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633605.327 * [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)))))))) 1547633605.327 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633605.327 * * [misc]simplify: iters left: 6 (17 enodes) 1547633605.330 * * [misc]simplify: iters left: 5 (28 enodes) 1547633605.337 * * [misc]simplify: iters left: 4 (41 enodes) 1547633605.349 * * [misc]simplify: iters left: 3 (76 enodes) 1547633605.362 * * [misc]simplify: iters left: 2 (142 enodes) 1547633605.434 * * [misc]simplify: iters left: 1 (382 enodes) 1547633605.738 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547633605.738 * [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))))))) 1547633605.738 * * * * [misc]progress: [ 127 / 266 ] simplifiying candidate # 1547633605.738 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633605.738 * * [misc]simplify: iters left: 6 (12 enodes) 1547633605.741 * * [misc]simplify: iters left: 5 (19 enodes) 1547633605.744 * * [misc]simplify: iters left: 4 (23 enodes) 1547633605.747 * * [misc]simplify: iters left: 3 (27 enodes) 1547633605.751 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1547633605.751 * [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)))))))) 1547633605.751 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633605.751 * * [misc]simplify: iters left: 6 (17 enodes) 1547633605.754 * * [misc]simplify: iters left: 5 (28 enodes) 1547633605.758 * * [misc]simplify: iters left: 4 (41 enodes) 1547633605.769 * * [misc]simplify: iters left: 3 (76 enodes) 1547633605.793 * * [misc]simplify: iters left: 2 (142 enodes) 1547633605.843 * * [misc]simplify: iters left: 1 (382 enodes) 1547633606.133 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547633606.133 * [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))))))) 1547633606.134 * * * * [misc]progress: [ 128 / 266 ] simplifiying candidate # 1547633606.134 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1547633606.134 * * [misc]simplify: iters left: 4 (3 enodes) 1547633606.135 * * [misc]simplify: iters left: 3 (5 enodes) 1547633606.136 * [exit]simplify: Simplified to 1 1547633606.136 * [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))))))) 1547633606.136 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633606.136 * * [misc]simplify: iters left: 6 (16 enodes) 1547633606.141 * * [misc]simplify: iters left: 5 (27 enodes) 1547633606.148 * * [misc]simplify: iters left: 4 (40 enodes) 1547633606.161 * * [misc]simplify: iters left: 3 (75 enodes) 1547633606.186 * * [misc]simplify: iters left: 2 (141 enodes) 1547633606.265 * * [misc]simplify: iters left: 1 (376 enodes) 1547633606.533 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633606.534 * [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)))))) 1547633606.534 * * * * [misc]progress: [ 129 / 266 ] simplifiying candidate # 1547633606.534 * [enter]simplify: Simplifying (/ 1 1) 1547633606.534 * * [misc]simplify: iters left: 2 (2 enodes) 1547633606.535 * * [misc]simplify: iters left: 1 (4 enodes) 1547633606.536 * [exit]simplify: Simplified to 1 1547633606.536 * [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))))))) 1547633606.536 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633606.536 * * [misc]simplify: iters left: 6 (16 enodes) 1547633606.542 * * [misc]simplify: iters left: 5 (27 enodes) 1547633606.549 * * [misc]simplify: iters left: 4 (40 enodes) 1547633606.562 * * [misc]simplify: iters left: 3 (75 enodes) 1547633606.588 * * [misc]simplify: iters left: 2 (141 enodes) 1547633606.663 * * [misc]simplify: iters left: 1 (376 enodes) 1547633606.938 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633606.938 * [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)))))) 1547633606.938 * * * * [misc]progress: [ 130 / 266 ] simplifiying candidate # 1547633606.938 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1547633606.938 * * [misc]simplify: iters left: 3 (4 enodes) 1547633606.940 * * [misc]simplify: iters left: 2 (6 enodes) 1547633606.941 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547633606.941 * [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))))))) 1547633606.942 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547633606.942 * * [misc]simplify: iters left: 6 (15 enodes) 1547633606.948 * * [misc]simplify: iters left: 5 (26 enodes) 1547633606.955 * * [misc]simplify: iters left: 4 (35 enodes) 1547633606.966 * * [misc]simplify: iters left: 3 (61 enodes) 1547633606.991 * * [misc]simplify: iters left: 2 (82 enodes) 1547633607.014 * * [misc]simplify: iters left: 1 (85 enodes) 1547633607.033 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547633607.033 * [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)))))) 1547633607.033 * * * * [misc]progress: [ 131 / 266 ] simplifiying candidate # 1547633607.033 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1547633607.033 * * [misc]simplify: iters left: 6 (10 enodes) 1547633607.036 * * [misc]simplify: iters left: 5 (16 enodes) 1547633607.041 * * [misc]simplify: iters left: 4 (19 enodes) 1547633607.046 * * [misc]simplify: iters left: 3 (21 enodes) 1547633607.053 * * [misc]simplify: iters left: 2 (33 enodes) 1547633607.062 * * [misc]simplify: iters left: 1 (41 enodes) 1547633607.070 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547633607.070 * [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))))) 1547633607.071 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1547633607.071 * * [misc]simplify: iters left: 6 (14 enodes) 1547633607.076 * * [misc]simplify: iters left: 5 (23 enodes) 1547633607.082 * * [misc]simplify: iters left: 4 (30 enodes) 1547633607.092 * * [misc]simplify: iters left: 3 (42 enodes) 1547633607.104 * * [misc]simplify: iters left: 2 (67 enodes) 1547633607.127 * * [misc]simplify: iters left: 1 (88 enodes) 1547633607.156 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547633607.156 * [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))))) 1547633607.156 * * * * [misc]progress: [ 132 / 266 ] simplifiying candidate # 1547633607.157 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633607.157 * * [misc]simplify: iters left: 6 (14 enodes) 1547633607.161 * * [misc]simplify: iters left: 5 (21 enodes) 1547633607.167 * * [misc]simplify: iters left: 4 (24 enodes) 1547633607.174 * [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)))))) 1547633607.174 * [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)))))))) 1547633607.174 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.175 * * [misc]simplify: iters left: 6 (17 enodes) 1547633607.181 * * [misc]simplify: iters left: 5 (26 enodes) 1547633607.188 * * [misc]simplify: iters left: 4 (33 enodes) 1547633607.197 * * [misc]simplify: iters left: 3 (45 enodes) 1547633607.210 * * [misc]simplify: iters left: 2 (70 enodes) 1547633607.235 * * [misc]simplify: iters left: 1 (91 enodes) 1547633607.262 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.262 * [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)))))))) 1547633607.262 * * * * [misc]progress: [ 133 / 266 ] simplifiying candidate # 1547633607.262 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.262 * * [misc]simplify: iters left: 6 (13 enodes) 1547633607.265 * * [misc]simplify: iters left: 5 (18 enodes) 1547633607.268 * * [misc]simplify: iters left: 4 (21 enodes) 1547633607.271 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.271 * [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)))))))) 1547633607.272 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.272 * * [misc]simplify: iters left: 6 (17 enodes) 1547633607.275 * * [misc]simplify: iters left: 5 (26 enodes) 1547633607.279 * * [misc]simplify: iters left: 4 (33 enodes) 1547633607.289 * * [misc]simplify: iters left: 3 (45 enodes) 1547633607.303 * * [misc]simplify: iters left: 2 (70 enodes) 1547633607.327 * * [misc]simplify: iters left: 1 (91 enodes) 1547633607.357 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633607.357 * [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)))))))) 1547633607.358 * * * * [misc]progress: [ 134 / 266 ] simplifiying candidate # 1547633607.358 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633607.358 * * [misc]simplify: iters left: 6 (12 enodes) 1547633607.362 * * [misc]simplify: iters left: 5 (20 enodes) 1547633607.367 * * [misc]simplify: iters left: 4 (27 enodes) 1547633607.372 * * [misc]simplify: iters left: 3 (37 enodes) 1547633607.378 * * [misc]simplify: iters left: 2 (64 enodes) 1547633607.389 * * [misc]simplify: iters left: 1 (93 enodes) 1547633607.417 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633607.417 * [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))))))) 1547633607.418 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633607.418 * * [misc]simplify: iters left: 6 (18 enodes) 1547633607.425 * * [misc]simplify: iters left: 5 (30 enodes) 1547633607.433 * * [misc]simplify: iters left: 4 (41 enodes) 1547633607.446 * * [misc]simplify: iters left: 3 (76 enodes) 1547633607.473 * * [misc]simplify: iters left: 2 (142 enodes) 1547633607.557 * * [misc]simplify: iters left: 1 (391 enodes) 1547633607.842 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633607.842 * [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))))))) 1547633607.842 * * * * [misc]progress: [ 135 / 266 ] simplifiying candidate # 1547633607.842 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633607.843 * * [misc]simplify: iters left: 6 (12 enodes) 1547633607.847 * * [misc]simplify: iters left: 5 (20 enodes) 1547633607.852 * * [misc]simplify: iters left: 4 (27 enodes) 1547633607.860 * * [misc]simplify: iters left: 3 (37 enodes) 1547633607.868 * * [misc]simplify: iters left: 2 (64 enodes) 1547633607.878 * * [misc]simplify: iters left: 1 (93 enodes) 1547633607.900 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633607.900 * [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))))))) 1547633607.901 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633607.901 * * [misc]simplify: iters left: 6 (18 enodes) 1547633607.907 * * [misc]simplify: iters left: 5 (30 enodes) 1547633607.911 * * [misc]simplify: iters left: 4 (41 enodes) 1547633607.918 * * [misc]simplify: iters left: 3 (76 enodes) 1547633607.932 * * [misc]simplify: iters left: 2 (142 enodes) 1547633608.013 * * [misc]simplify: iters left: 1 (391 enodes) 1547633608.258 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633608.258 * [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))))))) 1547633608.258 * * * * [misc]progress: [ 136 / 266 ] simplifiying candidate # 1547633608.258 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547633608.259 * * [misc]simplify: iters left: 6 (13 enodes) 1547633608.262 * * [misc]simplify: iters left: 5 (21 enodes) 1547633608.266 * * [misc]simplify: iters left: 4 (31 enodes) 1547633608.270 * * [misc]simplify: iters left: 3 (51 enodes) 1547633608.279 * * [misc]simplify: iters left: 2 (90 enodes) 1547633608.306 * * [misc]simplify: iters left: 1 (181 enodes) 1547633608.383 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633608.383 * [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))))))) 1547633608.383 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633608.383 * * [misc]simplify: iters left: 6 (15 enodes) 1547633608.386 * * [misc]simplify: iters left: 5 (25 enodes) 1547633608.390 * * [misc]simplify: iters left: 4 (38 enodes) 1547633608.397 * * [misc]simplify: iters left: 3 (73 enodes) 1547633608.421 * * [misc]simplify: iters left: 2 (139 enodes) 1547633608.467 * * [misc]simplify: iters left: 1 (375 enodes) 1547633608.675 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547633608.675 * [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)))))) 1547633608.675 * * * * [misc]progress: [ 137 / 266 ] simplifiying candidate # 1547633608.675 * [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))))))) 1547633608.676 * * [misc]simplify: iters left: 6 (16 enodes) 1547633608.681 * * [misc]simplify: iters left: 5 (29 enodes) 1547633608.689 * * [misc]simplify: iters left: 4 (50 enodes) 1547633608.705 * * [misc]simplify: iters left: 3 (70 enodes) 1547633608.728 * * [misc]simplify: iters left: 2 (169 enodes) 1547633608.780 * [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)))) 1547633608.780 * [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)))))))) 1547633608.780 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633608.780 * * [misc]simplify: iters left: 6 (18 enodes) 1547633608.783 * * [misc]simplify: iters left: 5 (29 enodes) 1547633608.787 * * [misc]simplify: iters left: 4 (42 enodes) 1547633608.794 * * [misc]simplify: iters left: 3 (77 enodes) 1547633608.808 * * [misc]simplify: iters left: 2 (143 enodes) 1547633608.863 * * [misc]simplify: iters left: 1 (394 enodes) 1547633609.050 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547633609.050 * [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)))))) 1547633609.050 * * * * [misc]progress: [ 138 / 266 ] simplifiying candidate # 1547633609.050 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633609.050 * * [misc]simplify: iters left: 6 (15 enodes) 1547633609.052 * * [misc]simplify: iters left: 5 (24 enodes) 1547633609.056 * * [misc]simplify: iters left: 4 (34 enodes) 1547633609.062 * * [misc]simplify: iters left: 3 (54 enodes) 1547633609.071 * * [misc]simplify: iters left: 2 (93 enodes) 1547633609.087 * * [misc]simplify: iters left: 1 (182 enodes) 1547633609.135 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633609.135 * [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)))))))) 1547633609.135 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633609.136 * * [misc]simplify: iters left: 6 (18 enodes) 1547633609.142 * * [misc]simplify: iters left: 5 (29 enodes) 1547633609.150 * * [misc]simplify: iters left: 4 (42 enodes) 1547633609.163 * * [misc]simplify: iters left: 3 (77 enodes) 1547633609.178 * * [misc]simplify: iters left: 2 (143 enodes) 1547633609.256 * * [misc]simplify: iters left: 1 (394 enodes) 1547633609.527 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547633609.527 * [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)))))) 1547633609.527 * * * * [misc]progress: [ 139 / 266 ] simplifiying candidate # 1547633609.527 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547633609.527 * * [misc]simplify: iters left: 6 (7 enodes) 1547633609.529 * * [misc]simplify: iters left: 5 (13 enodes) 1547633609.534 * * [misc]simplify: iters left: 4 (22 enodes) 1547633609.539 * * [misc]simplify: iters left: 3 (24 enodes) 1547633609.543 * * [misc]simplify: iters left: 2 (29 enodes) 1547633609.550 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547633609.550 * [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))))))) 1547633609.550 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633609.550 * * [misc]simplify: iters left: 6 (17 enodes) 1547633609.556 * * [misc]simplify: iters left: 5 (28 enodes) 1547633609.562 * * [misc]simplify: iters left: 4 (41 enodes) 1547633609.569 * * [misc]simplify: iters left: 3 (76 enodes) 1547633609.582 * * [misc]simplify: iters left: 2 (142 enodes) 1547633609.636 * * [misc]simplify: iters left: 1 (380 enodes) 1547633609.926 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633609.926 * [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))))))) 1547633609.926 * * * * [misc]progress: [ 140 / 266 ] simplifiying candidate # 1547633609.926 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633609.926 * * [misc]simplify: iters left: 6 (11 enodes) 1547633609.930 * * [misc]simplify: iters left: 5 (17 enodes) 1547633609.934 * * [misc]simplify: iters left: 4 (20 enodes) 1547633609.940 * * [misc]simplify: iters left: 3 (22 enodes) 1547633609.947 * * [misc]simplify: iters left: 2 (34 enodes) 1547633609.956 * * [misc]simplify: iters left: 1 (42 enodes) 1547633609.965 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633609.965 * [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))))))) 1547633609.965 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633609.965 * * [misc]simplify: iters left: 6 (18 enodes) 1547633609.972 * * [misc]simplify: iters left: 5 (30 enodes) 1547633609.980 * * [misc]simplify: iters left: 4 (41 enodes) 1547633609.994 * * [misc]simplify: iters left: 3 (76 enodes) 1547633610.022 * * [misc]simplify: iters left: 2 (142 enodes) 1547633610.090 * * [misc]simplify: iters left: 1 (391 enodes) 1547633610.394 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633610.394 * [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))))))) 1547633610.394 * * * * [misc]progress: [ 141 / 266 ] simplifiying candidate # 1547633610.394 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633610.394 * * [misc]simplify: iters left: 6 (11 enodes) 1547633610.396 * * [misc]simplify: iters left: 5 (17 enodes) 1547633610.398 * * [misc]simplify: iters left: 4 (20 enodes) 1547633610.401 * * [misc]simplify: iters left: 3 (22 enodes) 1547633610.404 * * [misc]simplify: iters left: 2 (34 enodes) 1547633610.409 * * [misc]simplify: iters left: 1 (42 enodes) 1547633610.414 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633610.414 * [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))))))) 1547633610.414 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633610.414 * * [misc]simplify: iters left: 6 (18 enodes) 1547633610.418 * * [misc]simplify: iters left: 5 (30 enodes) 1547633610.422 * * [misc]simplify: iters left: 4 (41 enodes) 1547633610.429 * * [misc]simplify: iters left: 3 (76 enodes) 1547633610.443 * * [misc]simplify: iters left: 2 (142 enodes) 1547633610.505 * * [misc]simplify: iters left: 1 (391 enodes) 1547633610.801 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633610.801 * [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))))))) 1547633610.801 * * * * [misc]progress: [ 142 / 266 ] simplifiying candidate # 1547633610.801 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547633610.801 * * [misc]simplify: iters left: 6 (12 enodes) 1547633610.805 * * [misc]simplify: iters left: 5 (18 enodes) 1547633610.810 * * [misc]simplify: iters left: 4 (24 enodes) 1547633610.817 * * [misc]simplify: iters left: 3 (32 enodes) 1547633610.826 * * [misc]simplify: iters left: 2 (41 enodes) 1547633610.836 * * [misc]simplify: iters left: 1 (51 enodes) 1547633610.848 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633610.848 * [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))))))) 1547633610.848 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633610.848 * * [misc]simplify: iters left: 6 (15 enodes) 1547633610.853 * * [misc]simplify: iters left: 5 (25 enodes) 1547633610.860 * * [misc]simplify: iters left: 4 (38 enodes) 1547633610.873 * * [misc]simplify: iters left: 3 (73 enodes) 1547633610.899 * * [misc]simplify: iters left: 2 (139 enodes) 1547633610.968 * * [misc]simplify: iters left: 1 (375 enodes) 1547633611.296 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1547633611.296 * [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)))))) 1547633611.296 * * * * [misc]progress: [ 143 / 266 ] simplifiying candidate # 1547633611.296 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633611.296 * * [misc]simplify: iters left: 6 (15 enodes) 1547633611.301 * * [misc]simplify: iters left: 5 (24 enodes) 1547633611.308 * * [misc]simplify: iters left: 4 (32 enodes) 1547633611.318 * * [misc]simplify: iters left: 3 (43 enodes) 1547633611.331 * * [misc]simplify: iters left: 2 (69 enodes) 1547633611.354 * * [misc]simplify: iters left: 1 (119 enodes) 1547633611.401 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633611.401 * [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)))))))) 1547633611.401 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633611.402 * * [misc]simplify: iters left: 6 (18 enodes) 1547633611.405 * * [misc]simplify: iters left: 5 (29 enodes) 1547633611.409 * * [misc]simplify: iters left: 4 (42 enodes) 1547633611.421 * * [misc]simplify: iters left: 3 (77 enodes) 1547633611.442 * * [misc]simplify: iters left: 2 (143 enodes) 1547633611.518 * * [misc]simplify: iters left: 1 (394 enodes) 1547633611.818 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547633611.818 * [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)))))) 1547633611.818 * * * * [misc]progress: [ 144 / 266 ] simplifiying candidate # 1547633611.819 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633611.819 * * [misc]simplify: iters left: 6 (14 enodes) 1547633611.823 * * [misc]simplify: iters left: 5 (21 enodes) 1547633611.829 * * [misc]simplify: iters left: 4 (27 enodes) 1547633611.837 * * [misc]simplify: iters left: 3 (35 enodes) 1547633611.847 * * [misc]simplify: iters left: 2 (43 enodes) 1547633611.854 * * [misc]simplify: iters left: 1 (56 enodes) 1547633611.861 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633611.861 * [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)))))))) 1547633611.862 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633611.862 * * [misc]simplify: iters left: 6 (18 enodes) 1547633611.865 * * [misc]simplify: iters left: 5 (29 enodes) 1547633611.869 * * [misc]simplify: iters left: 4 (42 enodes) 1547633611.877 * * [misc]simplify: iters left: 3 (77 enodes) 1547633611.892 * * [misc]simplify: iters left: 2 (143 enodes) 1547633611.952 * * [misc]simplify: iters left: 1 (394 enodes) 1547633612.139 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547633612.139 * [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)))))) 1547633612.139 * * * * [misc]progress: [ 145 / 266 ] simplifiying candidate # 1547633612.140 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1547633612.140 * * [misc]simplify: iters left: 6 (6 enodes) 1547633612.141 * * [misc]simplify: iters left: 5 (10 enodes) 1547633612.143 * * [misc]simplify: iters left: 4 (16 enodes) 1547633612.146 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547633612.147 * [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))))))) 1547633612.147 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633612.147 * * [misc]simplify: iters left: 6 (17 enodes) 1547633612.153 * * [misc]simplify: iters left: 5 (28 enodes) 1547633612.162 * * [misc]simplify: iters left: 4 (41 enodes) 1547633612.169 * * [misc]simplify: iters left: 3 (76 enodes) 1547633612.183 * * [misc]simplify: iters left: 2 (142 enodes) 1547633612.241 * * [misc]simplify: iters left: 1 (380 enodes) 1547633612.524 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1547633612.524 * [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))))))) 1547633612.524 * * * * [misc]progress: [ 146 / 266 ] simplifiying candidate # 1547633612.524 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547633612.524 * * [misc]simplify: iters left: 6 (8 enodes) 1547633612.526 * * [misc]simplify: iters left: 5 (14 enodes) 1547633612.528 * * [misc]simplify: iters left: 4 (15 enodes) 1547633612.530 * * [misc]simplify: iters left: 3 (19 enodes) 1547633612.532 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547633612.532 * [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))))))) 1547633612.532 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633612.533 * * [misc]simplify: iters left: 6 (17 enodes) 1547633612.539 * * [misc]simplify: iters left: 5 (29 enodes) 1547633612.547 * * [misc]simplify: iters left: 4 (40 enodes) 1547633612.561 * * [misc]simplify: iters left: 3 (75 enodes) 1547633612.590 * * [misc]simplify: iters left: 2 (141 enodes) 1547633612.648 * * [misc]simplify: iters left: 1 (379 enodes) 1547633612.855 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633612.856 * [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)))) 1547633612.856 * * * * [misc]progress: [ 147 / 266 ] simplifiying candidate # 1547633612.856 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1547633612.856 * * [misc]simplify: iters left: 6 (8 enodes) 1547633612.859 * * [misc]simplify: iters left: 5 (14 enodes) 1547633612.863 * * [misc]simplify: iters left: 4 (15 enodes) 1547633612.867 * * [misc]simplify: iters left: 3 (19 enodes) 1547633612.871 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1547633612.871 * [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))))))) 1547633612.872 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633612.872 * * [misc]simplify: iters left: 6 (17 enodes) 1547633612.878 * * [misc]simplify: iters left: 5 (29 enodes) 1547633612.885 * * [misc]simplify: iters left: 4 (40 enodes) 1547633612.901 * * [misc]simplify: iters left: 3 (75 enodes) 1547633612.922 * * [misc]simplify: iters left: 2 (141 enodes) 1547633612.974 * * [misc]simplify: iters left: 1 (379 enodes) 1547633613.239 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633613.239 * [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)))) 1547633613.239 * * * * [misc]progress: [ 148 / 266 ] simplifiying candidate # 1547633613.239 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1547633613.239 * * [misc]simplify: iters left: 6 (10 enodes) 1547633613.243 * * [misc]simplify: iters left: 5 (16 enodes) 1547633613.245 * * [misc]simplify: iters left: 4 (20 enodes) 1547633613.248 * * [misc]simplify: iters left: 3 (24 enodes) 1547633613.251 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547633613.251 * [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))))))) 1547633613.251 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633613.251 * * [misc]simplify: iters left: 6 (14 enodes) 1547633613.254 * * [misc]simplify: iters left: 5 (24 enodes) 1547633613.257 * * [misc]simplify: iters left: 4 (37 enodes) 1547633613.265 * * [misc]simplify: iters left: 3 (72 enodes) 1547633613.289 * * [misc]simplify: iters left: 2 (138 enodes) 1547633613.381 * * [misc]simplify: iters left: 1 (391 enodes) 1547633613.610 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1547633613.610 * [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)))) 1547633613.610 * * * * [misc]progress: [ 149 / 266 ] simplifiying candidate # 1547633613.611 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633613.611 * * [misc]simplify: iters left: 6 (13 enodes) 1547633613.614 * * [misc]simplify: iters left: 5 (22 enodes) 1547633613.617 * * [misc]simplify: iters left: 4 (26 enodes) 1547633613.621 * * [misc]simplify: iters left: 3 (32 enodes) 1547633613.626 * * [misc]simplify: iters left: 2 (34 enodes) 1547633613.634 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633613.634 * [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)))))))) 1547633613.635 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633613.635 * * [misc]simplify: iters left: 6 (17 enodes) 1547633613.641 * * [misc]simplify: iters left: 5 (28 enodes) 1547633613.649 * * [misc]simplify: iters left: 4 (41 enodes) 1547633613.662 * * [misc]simplify: iters left: 3 (76 enodes) 1547633613.684 * * [misc]simplify: iters left: 2 (142 enodes) 1547633613.755 * * [misc]simplify: iters left: 1 (382 enodes) 1547633614.090 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547633614.090 * [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))))))) 1547633614.090 * * * * [misc]progress: [ 150 / 266 ] simplifiying candidate # 1547633614.091 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633614.091 * * [misc]simplify: iters left: 6 (12 enodes) 1547633614.096 * * [misc]simplify: iters left: 5 (19 enodes) 1547633614.101 * * [misc]simplify: iters left: 4 (23 enodes) 1547633614.107 * * [misc]simplify: iters left: 3 (27 enodes) 1547633614.114 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1547633614.114 * [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)))))))) 1547633614.114 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633614.114 * * [misc]simplify: iters left: 6 (17 enodes) 1547633614.120 * * [misc]simplify: iters left: 5 (28 enodes) 1547633614.129 * * [misc]simplify: iters left: 4 (41 enodes) 1547633614.142 * * [misc]simplify: iters left: 3 (76 enodes) 1547633614.171 * * [misc]simplify: iters left: 2 (142 enodes) 1547633614.227 * * [misc]simplify: iters left: 1 (382 enodes) 1547633614.516 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1547633614.516 * [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))))))) 1547633614.516 * * * * [misc]progress: [ 151 / 266 ] simplifiying candidate # 1547633614.517 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1547633614.517 * * [misc]simplify: iters left: 4 (3 enodes) 1547633614.517 * * [misc]simplify: iters left: 3 (5 enodes) 1547633614.518 * [exit]simplify: Simplified to 1 1547633614.518 * [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))))))) 1547633614.518 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633614.518 * * [misc]simplify: iters left: 6 (16 enodes) 1547633614.521 * * [misc]simplify: iters left: 5 (27 enodes) 1547633614.525 * * [misc]simplify: iters left: 4 (40 enodes) 1547633614.536 * * [misc]simplify: iters left: 3 (75 enodes) 1547633614.561 * * [misc]simplify: iters left: 2 (141 enodes) 1547633614.624 * * [misc]simplify: iters left: 1 (376 enodes) 1547633614.912 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633614.912 * [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)))))) 1547633614.912 * * * * [misc]progress: [ 152 / 266 ] simplifiying candidate # 1547633614.912 * [enter]simplify: Simplifying (/ 1 1) 1547633614.912 * * [misc]simplify: iters left: 2 (2 enodes) 1547633614.913 * * [misc]simplify: iters left: 1 (4 enodes) 1547633614.914 * [exit]simplify: Simplified to 1 1547633614.914 * [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))))))) 1547633614.914 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633614.914 * * [misc]simplify: iters left: 6 (16 enodes) 1547633614.920 * * [misc]simplify: iters left: 5 (27 enodes) 1547633614.928 * * [misc]simplify: iters left: 4 (40 enodes) 1547633614.941 * * [misc]simplify: iters left: 3 (75 enodes) 1547633614.957 * * [misc]simplify: iters left: 2 (141 enodes) 1547633615.032 * * [misc]simplify: iters left: 1 (376 enodes) 1547633615.325 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1547633615.325 * [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)))))) 1547633615.325 * * * * [misc]progress: [ 153 / 266 ] simplifiying candidate # 1547633615.325 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1547633615.325 * * [misc]simplify: iters left: 3 (4 enodes) 1547633615.326 * * [misc]simplify: iters left: 2 (6 enodes) 1547633615.327 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547633615.327 * [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))))))) 1547633615.327 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547633615.327 * * [misc]simplify: iters left: 6 (15 enodes) 1547633615.330 * * [misc]simplify: iters left: 5 (26 enodes) 1547633615.334 * * [misc]simplify: iters left: 4 (35 enodes) 1547633615.340 * * [misc]simplify: iters left: 3 (61 enodes) 1547633615.353 * * [misc]simplify: iters left: 2 (82 enodes) 1547633615.369 * * [misc]simplify: iters left: 1 (85 enodes) 1547633615.387 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547633615.387 * [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)))))) 1547633615.387 * * * * [misc]progress: [ 154 / 266 ] simplifiying candidate # 1547633615.387 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1547633615.388 * * [misc]simplify: iters left: 6 (10 enodes) 1547633615.391 * * [misc]simplify: iters left: 5 (16 enodes) 1547633615.395 * * [misc]simplify: iters left: 4 (19 enodes) 1547633615.400 * * [misc]simplify: iters left: 3 (21 enodes) 1547633615.406 * * [misc]simplify: iters left: 2 (33 enodes) 1547633615.415 * * [misc]simplify: iters left: 1 (41 enodes) 1547633615.419 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547633615.419 * [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))))) 1547633615.420 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1547633615.420 * * [misc]simplify: iters left: 6 (14 enodes) 1547633615.422 * * [misc]simplify: iters left: 5 (23 enodes) 1547633615.425 * * [misc]simplify: iters left: 4 (30 enodes) 1547633615.430 * * [misc]simplify: iters left: 3 (42 enodes) 1547633615.436 * * [misc]simplify: iters left: 2 (67 enodes) 1547633615.449 * * [misc]simplify: iters left: 1 (88 enodes) 1547633615.473 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547633615.473 * [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))))) 1547633615.473 * * * * [misc]progress: [ 155 / 266 ] simplifiying candidate # 1547633615.474 * [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))))))) 1547633615.474 * * [misc]simplify: iters left: 6 (15 enodes) 1547633615.478 * * [misc]simplify: iters left: 5 (22 enodes) 1547633615.485 * * [misc]simplify: iters left: 4 (25 enodes) 1547633615.492 * [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))))))) 1547633615.492 * [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)))))))) 1547633615.492 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.492 * * [misc]simplify: iters left: 6 (14 enodes) 1547633615.496 * * [misc]simplify: iters left: 5 (17 enodes) 1547633615.502 * * [misc]simplify: iters left: 4 (20 enodes) 1547633615.508 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.508 * [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)))))))) 1547633615.508 * * * * [misc]progress: [ 156 / 266 ] simplifiying candidate # 1547633615.508 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.508 * * [misc]simplify: iters left: 6 (14 enodes) 1547633615.513 * * [misc]simplify: iters left: 5 (19 enodes) 1547633615.518 * * [misc]simplify: iters left: 4 (22 enodes) 1547633615.524 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.524 * [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)))))))) 1547633615.525 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.525 * * [misc]simplify: iters left: 6 (14 enodes) 1547633615.529 * * [misc]simplify: iters left: 5 (17 enodes) 1547633615.534 * * [misc]simplify: iters left: 4 (20 enodes) 1547633615.540 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633615.540 * [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)))))))) 1547633615.540 * * * * [misc]progress: [ 157 / 266 ] simplifiying candidate # 1547633615.541 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633615.541 * * [misc]simplify: iters left: 6 (13 enodes) 1547633615.545 * * [misc]simplify: iters left: 5 (21 enodes) 1547633615.551 * * [misc]simplify: iters left: 4 (28 enodes) 1547633615.559 * * [misc]simplify: iters left: 3 (36 enodes) 1547633615.569 * * [misc]simplify: iters left: 2 (62 enodes) 1547633615.580 * * [misc]simplify: iters left: 1 (94 enodes) 1547633615.597 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1547633615.597 * [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))))))) 1547633615.597 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633615.598 * * [misc]simplify: iters left: 6 (15 enodes) 1547633615.603 * * [misc]simplify: iters left: 5 (21 enodes) 1547633615.608 * * [misc]simplify: iters left: 4 (25 enodes) 1547633615.615 * * [misc]simplify: iters left: 3 (27 enodes) 1547633615.623 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633615.623 * [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)))))) 1547633615.623 * * * * [misc]progress: [ 158 / 266 ] simplifiying candidate # 1547633615.624 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1547633615.624 * * [misc]simplify: iters left: 6 (13 enodes) 1547633615.626 * * [misc]simplify: iters left: 5 (21 enodes) 1547633615.629 * * [misc]simplify: iters left: 4 (28 enodes) 1547633615.633 * * [misc]simplify: iters left: 3 (36 enodes) 1547633615.639 * * [misc]simplify: iters left: 2 (62 enodes) 1547633615.648 * * [misc]simplify: iters left: 1 (94 enodes) 1547633615.680 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1547633615.680 * [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))))))) 1547633615.680 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633615.680 * * [misc]simplify: iters left: 6 (15 enodes) 1547633615.685 * * [misc]simplify: iters left: 5 (21 enodes) 1547633615.691 * * [misc]simplify: iters left: 4 (25 enodes) 1547633615.698 * * [misc]simplify: iters left: 3 (27 enodes) 1547633615.705 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633615.706 * [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)))))) 1547633615.706 * * * * [misc]progress: [ 159 / 266 ] simplifiying candidate # 1547633615.706 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1547633615.706 * * [misc]simplify: iters left: 6 (14 enodes) 1547633615.709 * * [misc]simplify: iters left: 5 (22 enodes) 1547633615.712 * * [misc]simplify: iters left: 4 (32 enodes) 1547633615.717 * * [misc]simplify: iters left: 3 (55 enodes) 1547633615.727 * * [misc]simplify: iters left: 2 (97 enodes) 1547633615.755 * * [misc]simplify: iters left: 1 (209 enodes) 1547633615.857 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633615.857 * [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))))))) 1547633615.858 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633615.858 * * [misc]simplify: iters left: 6 (12 enodes) 1547633615.862 * * [misc]simplify: iters left: 5 (16 enodes) 1547633615.866 * * [misc]simplify: iters left: 4 (22 enodes) 1547633615.873 * * [misc]simplify: iters left: 3 (24 enodes) 1547633615.880 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1547633615.880 * [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)))))) 1547633615.880 * * * * [misc]progress: [ 160 / 266 ] simplifiying candidate # 1547633615.880 * [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))))))) 1547633615.880 * * [misc]simplify: iters left: 6 (17 enodes) 1547633615.886 * * [misc]simplify: iters left: 5 (30 enodes) 1547633615.895 * * [misc]simplify: iters left: 4 (51 enodes) 1547633615.911 * * [misc]simplify: iters left: 3 (67 enodes) 1547633615.936 * * [misc]simplify: iters left: 2 (156 enodes) 1547633615.977 * * [misc]simplify: iters left: 1 (456 enodes) 1547633616.353 * [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)))) 1547633616.353 * [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)))))))) 1547633616.353 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.354 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.356 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.361 * * [misc]simplify: iters left: 4 (26 enodes) 1547633616.368 * * [misc]simplify: iters left: 3 (28 enodes) 1547633616.376 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633616.376 * [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))))))) 1547633616.376 * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # 1547633616.376 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.377 * * [misc]simplify: iters left: 6 (16 enodes) 1547633616.382 * * [misc]simplify: iters left: 5 (25 enodes) 1547633616.388 * * [misc]simplify: iters left: 4 (35 enodes) 1547633616.398 * * [misc]simplify: iters left: 3 (58 enodes) 1547633616.410 * * [misc]simplify: iters left: 2 (99 enodes) 1547633616.431 * * [misc]simplify: iters left: 1 (192 enodes) 1547633616.525 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633616.525 * [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)))))))) 1547633616.525 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.526 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.530 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.536 * * [misc]simplify: iters left: 4 (26 enodes) 1547633616.544 * * [misc]simplify: iters left: 3 (28 enodes) 1547633616.551 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633616.551 * [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))))))) 1547633616.551 * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # 1547633616.552 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1547633616.552 * * [misc]simplify: iters left: 6 (8 enodes) 1547633616.554 * * [misc]simplify: iters left: 5 (14 enodes) 1547633616.558 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.561 * * [misc]simplify: iters left: 3 (29 enodes) 1547633616.564 * * [misc]simplify: iters left: 2 (45 enodes) 1547633616.570 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1547633616.570 * [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))))))) 1547633616.571 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633616.571 * * [misc]simplify: iters left: 6 (14 enodes) 1547633616.573 * * [misc]simplify: iters left: 5 (19 enodes) 1547633616.577 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.581 * * [misc]simplify: iters left: 3 (27 enodes) 1547633616.586 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1547633616.586 * [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)))))) 1547633616.586 * * * * [misc]progress: [ 163 / 266 ] simplifiying candidate # 1547633616.586 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633616.586 * * [misc]simplify: iters left: 6 (12 enodes) 1547633616.591 * * [misc]simplify: iters left: 5 (18 enodes) 1547633616.595 * * [misc]simplify: iters left: 4 (21 enodes) 1547633616.601 * * [misc]simplify: iters left: 3 (23 enodes) 1547633616.608 * * [misc]simplify: iters left: 2 (35 enodes) 1547633616.618 * * [misc]simplify: iters left: 1 (43 enodes) 1547633616.627 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633616.627 * [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))))))) 1547633616.627 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633616.627 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.632 * * [misc]simplify: iters left: 5 (21 enodes) 1547633616.638 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.645 * * [misc]simplify: iters left: 3 (27 enodes) 1547633616.652 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633616.652 * [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)))))) 1547633616.652 * * * * [misc]progress: [ 164 / 266 ] simplifiying candidate # 1547633616.652 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1547633616.652 * * [misc]simplify: iters left: 6 (12 enodes) 1547633616.654 * * [misc]simplify: iters left: 5 (18 enodes) 1547633616.657 * * [misc]simplify: iters left: 4 (21 enodes) 1547633616.659 * * [misc]simplify: iters left: 3 (23 enodes) 1547633616.663 * * [misc]simplify: iters left: 2 (35 enodes) 1547633616.667 * * [misc]simplify: iters left: 1 (43 enodes) 1547633616.672 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1547633616.672 * [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))))))) 1547633616.672 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1547633616.672 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.675 * * [misc]simplify: iters left: 5 (21 enodes) 1547633616.678 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.684 * * [misc]simplify: iters left: 3 (27 enodes) 1547633616.691 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1547633616.692 * [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)))))) 1547633616.692 * * * * [misc]progress: [ 165 / 266 ] simplifiying candidate # 1547633616.692 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1547633616.692 * * [misc]simplify: iters left: 6 (13 enodes) 1547633616.698 * * [misc]simplify: iters left: 5 (19 enodes) 1547633616.703 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.710 * * [misc]simplify: iters left: 3 (34 enodes) 1547633616.721 * * [misc]simplify: iters left: 2 (44 enodes) 1547633616.733 * * [misc]simplify: iters left: 1 (59 enodes) 1547633616.749 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633616.749 * [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))))))) 1547633616.749 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1547633616.749 * * [misc]simplify: iters left: 6 (12 enodes) 1547633616.753 * * [misc]simplify: iters left: 5 (16 enodes) 1547633616.758 * * [misc]simplify: iters left: 4 (22 enodes) 1547633616.765 * * [misc]simplify: iters left: 3 (24 enodes) 1547633616.771 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1547633616.771 * [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)))))) 1547633616.771 * * * * [misc]progress: [ 166 / 266 ] simplifiying candidate # 1547633616.772 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633616.772 * * [misc]simplify: iters left: 6 (16 enodes) 1547633616.777 * * [misc]simplify: iters left: 5 (25 enodes) 1547633616.784 * * [misc]simplify: iters left: 4 (33 enodes) 1547633616.789 * * [misc]simplify: iters left: 3 (41 enodes) 1547633616.796 * * [misc]simplify: iters left: 2 (64 enodes) 1547633616.806 * * [misc]simplify: iters left: 1 (95 enodes) 1547633616.821 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1547633616.821 * [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)))))))) 1547633616.821 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.821 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.824 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.827 * * [misc]simplify: iters left: 4 (26 enodes) 1547633616.830 * * [misc]simplify: iters left: 3 (28 enodes) 1547633616.834 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633616.834 * [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))))))) 1547633616.834 * * * * [misc]progress: [ 167 / 266 ] simplifiying candidate # 1547633616.834 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.834 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.837 * * [misc]simplify: iters left: 5 (22 enodes) 1547633616.841 * * [misc]simplify: iters left: 4 (28 enodes) 1547633616.849 * * [misc]simplify: iters left: 3 (37 enodes) 1547633616.860 * * [misc]simplify: iters left: 2 (47 enodes) 1547633616.871 * * [misc]simplify: iters left: 1 (62 enodes) 1547633616.889 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1547633616.889 * [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)))))))) 1547633616.889 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633616.889 * * [misc]simplify: iters left: 6 (15 enodes) 1547633616.894 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.900 * * [misc]simplify: iters left: 4 (26 enodes) 1547633616.907 * * [misc]simplify: iters left: 3 (28 enodes) 1547633616.915 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633616.915 * [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))))))) 1547633616.915 * * * * [misc]progress: [ 168 / 266 ] simplifiying candidate # 1547633616.915 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1547633616.915 * * [misc]simplify: iters left: 6 (7 enodes) 1547633616.918 * * [misc]simplify: iters left: 5 (11 enodes) 1547633616.921 * * [misc]simplify: iters left: 4 (17 enodes) 1547633616.925 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1547633616.925 * [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))))))) 1547633616.925 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633616.925 * * [misc]simplify: iters left: 6 (14 enodes) 1547633616.928 * * [misc]simplify: iters left: 5 (19 enodes) 1547633616.931 * * [misc]simplify: iters left: 4 (25 enodes) 1547633616.935 * * [misc]simplify: iters left: 3 (27 enodes) 1547633616.940 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1547633616.940 * [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)))))) 1547633616.940 * * * * [misc]progress: [ 169 / 266 ] simplifiying candidate # 1547633616.940 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1547633616.940 * * [misc]simplify: iters left: 6 (9 enodes) 1547633616.942 * * [misc]simplify: iters left: 5 (15 enodes) 1547633616.944 * [exit]simplify: Simplified to (sqrt (* n 2)) 1547633616.944 * [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))))))) 1547633616.944 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633616.944 * * [misc]simplify: iters left: 6 (14 enodes) 1547633616.946 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.949 * * [misc]simplify: iters left: 4 (24 enodes) 1547633616.953 * * [misc]simplify: iters left: 3 (26 enodes) 1547633616.956 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633616.956 * [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)))) 1547633616.956 * * * * [misc]progress: [ 170 / 266 ] simplifiying candidate # 1547633616.956 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1547633616.957 * * [misc]simplify: iters left: 6 (9 enodes) 1547633616.958 * * [misc]simplify: iters left: 5 (15 enodes) 1547633616.960 * [exit]simplify: Simplified to (sqrt (* n 2)) 1547633616.960 * [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))))))) 1547633616.961 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1547633616.961 * * [misc]simplify: iters left: 6 (14 enodes) 1547633616.963 * * [misc]simplify: iters left: 5 (20 enodes) 1547633616.966 * * [misc]simplify: iters left: 4 (24 enodes) 1547633616.969 * * [misc]simplify: iters left: 3 (26 enodes) 1547633616.973 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633616.973 * [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)))) 1547633616.973 * * * * [misc]progress: [ 171 / 266 ] simplifiying candidate # 1547633616.973 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1547633616.973 * * [misc]simplify: iters left: 6 (11 enodes) 1547633616.975 * * [misc]simplify: iters left: 5 (17 enodes) 1547633616.977 * * [misc]simplify: iters left: 4 (20 enodes) 1547633616.980 * * [misc]simplify: iters left: 3 (24 enodes) 1547633616.983 * * [misc]simplify: iters left: 2 (26 enodes) 1547633616.986 * * [misc]simplify: iters left: 1 (28 enodes) 1547633616.989 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547633616.989 * [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))))))) 1547633616.990 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633616.990 * * [misc]simplify: iters left: 6 (11 enodes) 1547633616.992 * * [misc]simplify: iters left: 5 (15 enodes) 1547633616.994 * * [misc]simplify: iters left: 4 (21 enodes) 1547633616.997 * * [misc]simplify: iters left: 3 (23 enodes) 1547633617.001 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1547633617.001 * [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))))))) 1547633617.001 * * * * [misc]progress: [ 172 / 266 ] simplifiying candidate # 1547633617.002 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1547633617.002 * * [misc]simplify: iters left: 6 (14 enodes) 1547633617.006 * * [misc]simplify: iters left: 5 (23 enodes) 1547633617.012 * * [misc]simplify: iters left: 4 (26 enodes) 1547633617.018 * * [misc]simplify: iters left: 3 (31 enodes) 1547633617.025 * * [misc]simplify: iters left: 2 (34 enodes) 1547633617.034 * * [misc]simplify: iters left: 1 (48 enodes) 1547633617.042 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.042 * [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)))))))) 1547633617.042 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633617.042 * * [misc]simplify: iters left: 6 (14 enodes) 1547633617.045 * * [misc]simplify: iters left: 5 (19 enodes) 1547633617.048 * * [misc]simplify: iters left: 4 (25 enodes) 1547633617.052 * * [misc]simplify: iters left: 3 (27 enodes) 1547633617.055 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.056 * [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))))))) 1547633617.056 * * * * [misc]progress: [ 173 / 266 ] simplifiying candidate # 1547633617.056 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633617.056 * * [misc]simplify: iters left: 6 (13 enodes) 1547633617.058 * * [misc]simplify: iters left: 5 (20 enodes) 1547633617.061 * * [misc]simplify: iters left: 4 (23 enodes) 1547633617.064 * * [misc]simplify: iters left: 3 (27 enodes) 1547633617.067 * * [misc]simplify: iters left: 2 (29 enodes) 1547633617.071 * * [misc]simplify: iters left: 1 (31 enodes) 1547633617.078 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.078 * [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)))))))) 1547633617.079 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633617.079 * * [misc]simplify: iters left: 6 (14 enodes) 1547633617.083 * * [misc]simplify: iters left: 5 (19 enodes) 1547633617.089 * * [misc]simplify: iters left: 4 (25 enodes) 1547633617.095 * * [misc]simplify: iters left: 3 (27 enodes) 1547633617.103 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.103 * [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))))))) 1547633617.103 * * * * [misc]progress: [ 174 / 266 ] simplifiying candidate # 1547633617.104 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1547633617.104 * * [misc]simplify: iters left: 4 (3 enodes) 1547633617.105 * * [misc]simplify: iters left: 3 (5 enodes) 1547633617.106 * [exit]simplify: Simplified to 1 1547633617.106 * [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))))))) 1547633617.106 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.106 * * [misc]simplify: iters left: 6 (13 enodes) 1547633617.110 * * [misc]simplify: iters left: 5 (18 enodes) 1547633617.116 * * [misc]simplify: iters left: 4 (24 enodes) 1547633617.122 * * [misc]simplify: iters left: 3 (26 enodes) 1547633617.129 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633617.129 * [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)))) 1547633617.129 * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # 1547633617.130 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1547633617.130 * * [misc]simplify: iters left: 4 (3 enodes) 1547633617.131 * * [misc]simplify: iters left: 3 (5 enodes) 1547633617.132 * [exit]simplify: Simplified to 1 1547633617.132 * [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))))))) 1547633617.132 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.132 * * [misc]simplify: iters left: 6 (13 enodes) 1547633617.136 * * [misc]simplify: iters left: 5 (18 enodes) 1547633617.142 * * [misc]simplify: iters left: 4 (24 enodes) 1547633617.150 * * [misc]simplify: iters left: 3 (26 enodes) 1547633617.157 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1547633617.157 * [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)))) 1547633617.157 * * * * [misc]progress: [ 176 / 266 ] simplifiying candidate # 1547633617.158 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1547633617.158 * * [misc]simplify: iters left: 4 (5 enodes) 1547633617.159 * * [misc]simplify: iters left: 3 (7 enodes) 1547633617.161 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1547633617.161 * [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))))))) 1547633617.161 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.161 * * [misc]simplify: iters left: 6 (13 enodes) 1547633617.165 * * [misc]simplify: iters left: 5 (20 enodes) 1547633617.171 * * [misc]simplify: iters left: 4 (26 enodes) 1547633617.179 * * [misc]simplify: iters left: 3 (36 enodes) 1547633617.188 * * [misc]simplify: iters left: 2 (38 enodes) 1547633617.196 * * [misc]simplify: iters left: 1 (43 enodes) 1547633617.206 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1547633617.206 * [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)))))) 1547633617.206 * * * * [misc]progress: [ 177 / 266 ] simplifiying candidate # 1547633617.206 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1547633617.207 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.210 * * [misc]simplify: iters left: 5 (17 enodes) 1547633617.214 * * [misc]simplify: iters left: 4 (20 enodes) 1547633617.219 * * [misc]simplify: iters left: 3 (22 enodes) 1547633617.226 * * [misc]simplify: iters left: 2 (34 enodes) 1547633617.233 * * [misc]simplify: iters left: 1 (42 enodes) 1547633617.237 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1547633617.237 * [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))))) 1547633617.238 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1547633617.238 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.239 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.241 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.244 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1547633617.244 * [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))))) 1547633617.244 * * * * [misc]progress: [ 178 / 266 ] simplifiying candidate # 1547633617.244 * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # 1547633617.244 * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # 1547633617.244 * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # 1547633617.244 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.244 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.246 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.248 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.251 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.251 * [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))))))) 1547633617.251 * * * * [misc]progress: [ 182 / 266 ] simplifiying candidate # 1547633617.251 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.251 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.253 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.255 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.258 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.258 * [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))))))) 1547633617.258 * * * * [misc]progress: [ 183 / 266 ] simplifiying candidate # 1547633617.258 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633617.258 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.260 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.264 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633617.264 * [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))))) 1547633617.264 * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # 1547633617.265 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633617.265 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.268 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.272 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633617.272 * [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))))) 1547633617.272 * * * * [misc]progress: [ 185 / 266 ] simplifiying candidate # 1547633617.272 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633617.272 * * [misc]simplify: iters left: 6 (9 enodes) 1547633617.275 * * [misc]simplify: iters left: 5 (11 enodes) 1547633617.280 * * [misc]simplify: iters left: 4 (14 enodes) 1547633617.284 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633617.284 * [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)))))) 1547633617.284 * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # 1547633617.284 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.284 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.288 * * [misc]simplify: iters left: 5 (15 enodes) 1547633617.293 * * [misc]simplify: iters left: 4 (18 enodes) 1547633617.298 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.298 * [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))))))) 1547633617.298 * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # 1547633617.298 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.298 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.302 * * [misc]simplify: iters left: 5 (15 enodes) 1547633617.306 * * [misc]simplify: iters left: 4 (18 enodes) 1547633617.312 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.312 * [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))))))) 1547633617.312 * * * * [misc]progress: [ 188 / 266 ] simplifiying candidate # 1547633617.312 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.313 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.316 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.320 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.325 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.325 * [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)))))) 1547633617.325 * * * * [misc]progress: [ 189 / 266 ] simplifiying candidate # 1547633617.326 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633617.326 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.329 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.333 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633617.333 * [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))))) 1547633617.333 * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # 1547633617.333 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633617.333 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.336 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.340 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633617.340 * [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))))) 1547633617.340 * * * * [misc]progress: [ 191 / 266 ] simplifiying candidate # 1547633617.341 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633617.341 * * [misc]simplify: iters left: 6 (9 enodes) 1547633617.344 * * [misc]simplify: iters left: 5 (11 enodes) 1547633617.347 * * [misc]simplify: iters left: 4 (14 enodes) 1547633617.351 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633617.351 * [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)))))) 1547633617.351 * * * * [misc]progress: [ 192 / 266 ] simplifiying candidate # 1547633617.351 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.352 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.355 * * [misc]simplify: iters left: 5 (15 enodes) 1547633617.360 * * [misc]simplify: iters left: 4 (18 enodes) 1547633617.365 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.365 * [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))))))) 1547633617.366 * * * * [misc]progress: [ 193 / 266 ] simplifiying candidate # 1547633617.366 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.366 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.370 * * [misc]simplify: iters left: 5 (15 enodes) 1547633617.375 * * [misc]simplify: iters left: 4 (18 enodes) 1547633617.380 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.380 * [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))))))) 1547633617.380 * * * * [misc]progress: [ 194 / 266 ] simplifiying candidate # 1547633617.381 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.381 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.384 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.388 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.393 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.393 * [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)))))) 1547633617.393 * * * * [misc]progress: [ 195 / 266 ] simplifiying candidate # 1547633617.393 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547633617.394 * * [misc]simplify: iters left: 6 (9 enodes) 1547633617.396 * * [misc]simplify: iters left: 5 (12 enodes) 1547633617.400 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547633617.400 * [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))))) 1547633617.400 * * * * [misc]progress: [ 196 / 266 ] simplifiying candidate # 1547633617.400 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547633617.401 * * [misc]simplify: iters left: 6 (9 enodes) 1547633617.403 * * [misc]simplify: iters left: 5 (12 enodes) 1547633617.407 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547633617.407 * [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))))) 1547633617.407 * * * * [misc]progress: [ 197 / 266 ] simplifiying candidate # 1547633617.407 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547633617.407 * * [misc]simplify: iters left: 6 (8 enodes) 1547633617.410 * * [misc]simplify: iters left: 5 (10 enodes) 1547633617.413 * * [misc]simplify: iters left: 4 (13 enodes) 1547633617.417 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547633617.417 * [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)))))) 1547633617.417 * * * * [misc]progress: [ 198 / 266 ] simplifiying candidate # 1547633617.417 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.417 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.421 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.425 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.430 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.430 * [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))))))) 1547633617.430 * * * * [misc]progress: [ 199 / 266 ] simplifiying candidate # 1547633617.430 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.430 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.435 * * [misc]simplify: iters left: 5 (14 enodes) 1547633617.439 * * [misc]simplify: iters left: 4 (17 enodes) 1547633617.441 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633617.441 * [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))))))) 1547633617.442 * * * * [misc]progress: [ 200 / 266 ] simplifiying candidate # 1547633617.442 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.442 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.443 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.445 * * [misc]simplify: iters left: 4 (16 enodes) 1547633617.448 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.448 * [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)))))) 1547633617.448 * * * * [misc]progress: [ 201 / 266 ] simplifiying candidate # 1547633617.448 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.448 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.450 * * [misc]simplify: iters left: 5 (13 enodes) 1547633617.451 * * [misc]simplify: iters left: 4 (16 enodes) 1547633617.454 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.454 * [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)))))) 1547633617.454 * * * * [misc]progress: [ 202 / 266 ] simplifiying candidate # 1547633617.454 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1547633617.454 * * [misc]simplify: iters left: 6 (10 enodes) 1547633617.456 * * [misc]simplify: iters left: 5 (15 enodes) 1547633617.458 * * [misc]simplify: iters left: 4 (18 enodes) 1547633617.460 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1547633617.460 * [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)))))) 1547633617.460 * * * * [misc]progress: [ 203 / 266 ] simplifiying candidate # 1547633617.461 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547633617.461 * * [misc]simplify: iters left: 3 (6 enodes) 1547633617.462 * * [misc]simplify: iters left: 2 (7 enodes) 1547633617.463 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547633617.463 * [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)))) 1547633617.463 * * * * [misc]progress: [ 204 / 266 ] simplifiying candidate # 1547633617.463 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1547633617.463 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.465 * * [misc]simplify: iters left: 5 (18 enodes) 1547633617.468 * * [misc]simplify: iters left: 4 (22 enodes) 1547633617.472 * * [misc]simplify: iters left: 3 (26 enodes) 1547633617.475 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633617.475 * [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))))))))) 1547633617.475 * * * * [misc]progress: [ 205 / 266 ] simplifiying candidate # 1547633617.475 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1547633617.475 * * [misc]simplify: iters left: 6 (11 enodes) 1547633617.478 * * [misc]simplify: iters left: 5 (17 enodes) 1547633617.480 * * [misc]simplify: iters left: 4 (21 enodes) 1547633617.483 * * [misc]simplify: iters left: 3 (25 enodes) 1547633617.489 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547633617.489 * [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))))))))) 1547633617.489 * * * * [misc]progress: [ 206 / 266 ] simplifiying candidate # 1547633617.489 * * * * [misc]progress: [ 207 / 266 ] simplifiying candidate # 1547633617.489 * * * * [misc]progress: [ 208 / 266 ] simplifiying candidate # 1547633617.489 * [enter]simplify: Simplifying (/ 1 1) 1547633617.489 * * [misc]simplify: iters left: 2 (2 enodes) 1547633617.490 * * [misc]simplify: iters left: 1 (4 enodes) 1547633617.491 * [exit]simplify: Simplified to 1 1547633617.491 * [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)))))) 1547633617.491 * * * * [misc]progress: [ 209 / 266 ] simplifiying candidate # 1547633617.491 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547633617.491 * * [misc]simplify: iters left: 5 (8 enodes) 1547633617.494 * * [misc]simplify: iters left: 4 (11 enodes) 1547633617.497 * * [misc]simplify: iters left: 3 (14 enodes) 1547633617.501 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547633617.501 * [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))))) 1547633617.501 * * * * [misc]progress: [ 210 / 266 ] simplifiying candidate # 1547633617.501 * * * * [misc]progress: [ 211 / 266 ] simplifiying candidate # 1547633617.501 * * * * [misc]progress: [ 212 / 266 ] simplifiying candidate # 1547633617.501 * * * * [misc]progress: [ 213 / 266 ] simplifiying candidate # 1547633617.501 * * * * [misc]progress: [ 214 / 266 ] simplifiying candidate # 1547633617.501 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633617.502 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.506 * * [misc]simplify: iters left: 5 (21 enodes) 1547633617.513 * * [misc]simplify: iters left: 4 (44 enodes) 1547633617.532 * * [misc]simplify: iters left: 3 (133 enodes) 1547633617.573 * * [misc]simplify: iters left: 2 (379 enodes) 1547633617.747 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1547633617.747 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1547633617.747 * * * * [misc]progress: [ 215 / 266 ] simplifiying candidate # 1547633617.748 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633617.748 * * [misc]simplify: iters left: 6 (12 enodes) 1547633617.752 * * [misc]simplify: iters left: 5 (21 enodes) 1547633617.760 * * [misc]simplify: iters left: 4 (44 enodes) 1547633617.779 * * [misc]simplify: iters left: 3 (133 enodes) 1547633617.843 * * [misc]simplify: iters left: 2 (379 enodes) 1547633618.029 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1547633618.029 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1547633618.029 * * * * [misc]progress: [ 216 / 266 ] simplifiying candidate # 1547633618.029 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.030 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.032 * * [misc]simplify: iters left: 5 (19 enodes) 1547633618.038 * * [misc]simplify: iters left: 4 (32 enodes) 1547633618.048 * * [misc]simplify: iters left: 3 (69 enodes) 1547633618.079 * * [misc]simplify: iters left: 2 (208 enodes) 1547633618.199 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1547633618.199 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1547633618.199 * * * * [misc]progress: [ 217 / 266 ] simplifiying candidate # 1547633618.199 * * * * [misc]progress: [ 218 / 266 ] simplifiying candidate # 1547633618.199 * * * * [misc]progress: [ 219 / 266 ] simplifiying candidate # 1547633618.200 * [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))))) 1547633618.200 * * [misc]simplify: iters left: 6 (14 enodes) 1547633618.204 * * [misc]simplify: iters left: 5 (26 enodes) 1547633618.209 * * [misc]simplify: iters left: 4 (58 enodes) 1547633618.220 * * [misc]simplify: iters left: 3 (117 enodes) 1547633618.242 * * [misc]simplify: iters left: 2 (193 enodes) 1547633618.299 * * [misc]simplify: iters left: 1 (263 enodes) 1547633618.414 * [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))))) 1547633618.414 * [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)))))))) 1547633618.414 * * * * [misc]progress: [ 220 / 266 ] simplifiying candidate # 1547633618.414 * * * * [misc]progress: [ 221 / 266 ] simplifiying candidate # 1547633618.414 * * * * [misc]progress: [ 222 / 266 ] simplifiying candidate # 1547633618.415 * * * * [misc]progress: [ 223 / 266 ] simplifiying candidate # 1547633618.415 * * * * [misc]progress: [ 224 / 266 ] simplifiying candidate # 1547633618.415 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1547633618.415 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.418 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.422 * * [misc]simplify: iters left: 4 (16 enodes) 1547633618.427 * * [misc]simplify: iters left: 3 (17 enodes) 1547633618.432 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1547633618.432 * [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))))))) 1547633618.432 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633618.432 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.436 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.440 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633618.440 * [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)))))) 1547633618.440 * * * * [misc]progress: [ 225 / 266 ] simplifiying candidate # 1547633618.440 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1547633618.440 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.443 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.448 * * [misc]simplify: iters left: 4 (16 enodes) 1547633618.452 * * [misc]simplify: iters left: 3 (17 enodes) 1547633618.454 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1547633618.454 * [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))))))) 1547633618.455 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633618.455 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.456 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.458 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633618.458 * [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)))))) 1547633618.458 * * * * [misc]progress: [ 226 / 266 ] simplifiying candidate # 1547633618.459 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1547633618.459 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.460 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.463 * * [misc]simplify: iters left: 4 (20 enodes) 1547633618.466 * * [misc]simplify: iters left: 3 (21 enodes) 1547633618.470 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1547633618.470 * [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))))))) 1547633618.470 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633618.470 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.472 * * [misc]simplify: iters left: 5 (11 enodes) 1547633618.474 * * [misc]simplify: iters left: 4 (14 enodes) 1547633618.476 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633618.476 * [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))))))) 1547633618.476 * * * * [misc]progress: [ 227 / 266 ] simplifiying candidate # 1547633618.476 * [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)))))) 1547633618.476 * * [misc]simplify: iters left: 6 (14 enodes) 1547633618.478 * * [misc]simplify: iters left: 5 (23 enodes) 1547633618.482 * * [misc]simplify: iters left: 4 (35 enodes) 1547633618.491 * * [misc]simplify: iters left: 3 (38 enodes) 1547633618.501 * * [misc]simplify: iters left: 2 (41 enodes) 1547633618.512 * [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)))))) 1547633618.513 * [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)))))))) 1547633618.513 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.513 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.517 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.522 * * [misc]simplify: iters left: 4 (18 enodes) 1547633618.527 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.527 * [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)))))))) 1547633618.527 * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # 1547633618.527 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.527 * * [misc]simplify: iters left: 6 (13 enodes) 1547633618.532 * * [misc]simplify: iters left: 5 (18 enodes) 1547633618.537 * * [misc]simplify: iters left: 4 (23 enodes) 1547633618.543 * * [misc]simplify: iters left: 3 (24 enodes) 1547633618.549 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.549 * [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)))))))) 1547633618.549 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.549 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.551 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.553 * * [misc]simplify: iters left: 4 (18 enodes) 1547633618.556 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.556 * [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)))))))) 1547633618.556 * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # 1547633618.556 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1547633618.556 * * [misc]simplify: iters left: 6 (6 enodes) 1547633618.557 * * [misc]simplify: iters left: 5 (10 enodes) 1547633618.559 * * [misc]simplify: iters left: 4 (16 enodes) 1547633618.561 * * [misc]simplify: iters left: 3 (18 enodes) 1547633618.563 * * [misc]simplify: iters left: 2 (23 enodes) 1547633618.566 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633618.566 * [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))))))) 1547633618.566 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.566 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.568 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.570 * * [misc]simplify: iters left: 4 (17 enodes) 1547633618.572 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.572 * [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))))))) 1547633618.572 * * * * [misc]progress: [ 230 / 266 ] simplifiying candidate # 1547633618.572 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1547633618.572 * * [misc]simplify: iters left: 5 (9 enodes) 1547633618.574 * * [misc]simplify: iters left: 4 (11 enodes) 1547633618.575 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1547633618.575 * [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))))))) 1547633618.575 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633618.575 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.577 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.580 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633618.580 * [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)))))) 1547633618.580 * * * * [misc]progress: [ 231 / 266 ] simplifiying candidate # 1547633618.580 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1547633618.580 * * [misc]simplify: iters left: 5 (9 enodes) 1547633618.581 * * [misc]simplify: iters left: 4 (11 enodes) 1547633618.583 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1547633618.583 * [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))))))) 1547633618.583 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1547633618.583 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.585 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.586 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1547633618.586 * [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)))))) 1547633618.587 * * * * [misc]progress: [ 232 / 266 ] simplifiying candidate # 1547633618.587 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1547633618.587 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.588 * * [misc]simplify: iters left: 5 (12 enodes) 1547633618.590 * * [misc]simplify: iters left: 4 (15 enodes) 1547633618.593 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1547633618.593 * [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))))))) 1547633618.593 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633618.593 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.596 * * [misc]simplify: iters left: 5 (11 enodes) 1547633618.599 * * [misc]simplify: iters left: 4 (14 enodes) 1547633618.603 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1547633618.603 * [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))))))) 1547633618.603 * * * * [misc]progress: [ 233 / 266 ] simplifiying candidate # 1547633618.604 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633618.604 * * [misc]simplify: iters left: 6 (13 enodes) 1547633618.608 * * [misc]simplify: iters left: 5 (18 enodes) 1547633618.612 * * [misc]simplify: iters left: 4 (21 enodes) 1547633618.615 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633618.615 * [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)))))))) 1547633618.615 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.616 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.617 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.620 * * [misc]simplify: iters left: 4 (18 enodes) 1547633618.622 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.622 * [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)))))))) 1547633618.622 * * * * [misc]progress: [ 234 / 266 ] simplifiying candidate # 1547633618.622 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.623 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.624 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.626 * * [misc]simplify: iters left: 4 (18 enodes) 1547633618.629 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.629 * [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)))))))) 1547633618.629 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.629 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.631 * * [misc]simplify: iters left: 5 (15 enodes) 1547633618.633 * * [misc]simplify: iters left: 4 (18 enodes) 1547633618.636 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.636 * [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)))))))) 1547633618.636 * * * * [misc]progress: [ 235 / 266 ] simplifiying candidate # 1547633618.636 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1547633618.636 * * [misc]simplify: iters left: 4 (5 enodes) 1547633618.637 * * [misc]simplify: iters left: 3 (7 enodes) 1547633618.638 * * [misc]simplify: iters left: 2 (9 enodes) 1547633618.639 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633618.639 * [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))))))) 1547633618.640 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.640 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.641 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.643 * * [misc]simplify: iters left: 4 (17 enodes) 1547633618.646 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.646 * [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))))))) 1547633618.646 * * * * [misc]progress: [ 236 / 266 ] simplifiying candidate # 1547633618.646 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1547633618.646 * * [misc]simplify: iters left: 5 (7 enodes) 1547633618.648 * * [misc]simplify: iters left: 4 (11 enodes) 1547633618.650 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1547633618.651 * [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))))))) 1547633618.651 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547633618.651 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.654 * * [misc]simplify: iters left: 5 (12 enodes) 1547633618.657 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547633618.657 * [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)))))) 1547633618.657 * * * * [misc]progress: [ 237 / 266 ] simplifiying candidate # 1547633618.658 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1547633618.658 * * [misc]simplify: iters left: 5 (7 enodes) 1547633618.660 * * [misc]simplify: iters left: 4 (11 enodes) 1547633618.663 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1547633618.663 * [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))))))) 1547633618.663 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1547633618.663 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.666 * * [misc]simplify: iters left: 5 (12 enodes) 1547633618.669 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1547633618.670 * [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)))))) 1547633618.670 * * * * [misc]progress: [ 238 / 266 ] simplifiying candidate # 1547633618.670 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1547633618.670 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.673 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.676 * * [misc]simplify: iters left: 4 (16 enodes) 1547633618.678 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1547633618.678 * [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))))))) 1547633618.678 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547633618.678 * * [misc]simplify: iters left: 6 (8 enodes) 1547633618.679 * * [misc]simplify: iters left: 5 (10 enodes) 1547633618.682 * * [misc]simplify: iters left: 4 (13 enodes) 1547633618.684 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1547633618.684 * [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))))))) 1547633618.684 * * * * [misc]progress: [ 239 / 266 ] simplifiying candidate # 1547633618.684 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633618.684 * * [misc]simplify: iters left: 6 (12 enodes) 1547633618.686 * * [misc]simplify: iters left: 5 (19 enodes) 1547633618.689 * * [misc]simplify: iters left: 4 (22 enodes) 1547633618.692 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633618.692 * [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)))))))) 1547633618.692 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.692 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.694 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.696 * * [misc]simplify: iters left: 4 (17 enodes) 1547633618.698 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.698 * [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)))))))) 1547633618.698 * * * * [misc]progress: [ 240 / 266 ] simplifiying candidate # 1547633618.698 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.699 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.700 * * [misc]simplify: iters left: 5 (16 enodes) 1547633618.703 * * [misc]simplify: iters left: 4 (19 enodes) 1547633618.705 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1547633618.705 * [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)))))))) 1547633618.705 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.705 * * [misc]simplify: iters left: 6 (11 enodes) 1547633618.707 * * [misc]simplify: iters left: 5 (14 enodes) 1547633618.709 * * [misc]simplify: iters left: 4 (17 enodes) 1547633618.712 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1547633618.712 * [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)))))))) 1547633618.712 * * * * [misc]progress: [ 241 / 266 ] simplifiying candidate # 1547633618.712 * [enter]simplify: Simplifying (/ 1 1) 1547633618.712 * * [misc]simplify: iters left: 2 (2 enodes) 1547633618.712 * * [misc]simplify: iters left: 1 (4 enodes) 1547633618.713 * [exit]simplify: Simplified to 1 1547633618.713 * [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))))))) 1547633618.713 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.713 * * [misc]simplify: iters left: 6 (10 enodes) 1547633618.714 * * [misc]simplify: iters left: 5 (13 enodes) 1547633618.716 * * [misc]simplify: iters left: 4 (16 enodes) 1547633618.719 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.719 * [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))))))) 1547633618.719 * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # 1547633618.719 * * * * [misc]progress: [ 243 / 266 ] simplifiying candidate # 1547633618.719 * * * * [misc]progress: [ 244 / 266 ] simplifiying candidate # 1547633618.719 * * * * [misc]progress: [ 245 / 266 ] simplifiying candidate # 1547633618.719 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633618.719 * * [misc]simplify: iters left: 5 (7 enodes) 1547633618.720 * * [misc]simplify: iters left: 4 (10 enodes) 1547633618.722 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633618.722 * [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)))))) 1547633618.722 * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # 1547633618.722 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633618.722 * * [misc]simplify: iters left: 5 (7 enodes) 1547633618.723 * * [misc]simplify: iters left: 4 (10 enodes) 1547633618.725 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633618.725 * [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)))))) 1547633618.725 * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # 1547633618.725 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1547633618.725 * * [misc]simplify: iters left: 5 (6 enodes) 1547633618.726 * * [misc]simplify: iters left: 4 (8 enodes) 1547633618.727 * * [misc]simplify: iters left: 3 (11 enodes) 1547633618.731 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1547633618.731 * [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)))))) 1547633618.731 * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # 1547633618.731 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.731 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.734 * * [misc]simplify: iters left: 5 (12 enodes) 1547633618.738 * * [misc]simplify: iters left: 4 (15 enodes) 1547633618.743 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.743 * [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))))))) 1547633618.743 * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # 1547633618.743 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.743 * * [misc]simplify: iters left: 6 (9 enodes) 1547633618.746 * * [misc]simplify: iters left: 5 (12 enodes) 1547633618.750 * * [misc]simplify: iters left: 4 (15 enodes) 1547633618.754 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633618.754 * [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))))))) 1547633618.754 * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # 1547633618.755 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547633618.755 * * [misc]simplify: iters left: 5 (8 enodes) 1547633618.757 * * [misc]simplify: iters left: 4 (11 enodes) 1547633618.761 * * [misc]simplify: iters left: 3 (14 enodes) 1547633618.765 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547633618.765 * [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)))))) 1547633618.765 * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # 1547633618.765 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633618.765 * * [misc]simplify: iters left: 4 (4 enodes) 1547633618.767 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1547633618.767 * [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)))))) 1547633618.767 * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # 1547633618.767 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547633618.767 * * [misc]simplify: iters left: 2 (3 enodes) 1547633618.768 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633618.768 * [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)))))) 1547633618.768 * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # 1547633618.768 * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # 1547633618.769 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547633618.769 * * [misc]simplify: iters left: 3 (6 enodes) 1547633618.771 * * [misc]simplify: iters left: 2 (7 enodes) 1547633618.773 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547633618.773 * [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))))) 1547633618.773 * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # 1547633618.773 * [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))))) 1547633618.774 * * [misc]simplify: iters left: 6 (35 enodes) 1547633618.788 * * [misc]simplify: iters left: 5 (102 enodes) 1547633618.831 * * [misc]simplify: iters left: 4 (321 enodes) 1547633619.046 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1547633619.046 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1547633619.046 * * * * [misc]progress: [ 256 / 266 ] simplifiying candidate # 1547633619.046 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1547633619.047 * * [misc]simplify: iters left: 6 (13 enodes) 1547633619.049 * * [misc]simplify: iters left: 5 (27 enodes) 1547633619.054 * * [misc]simplify: iters left: 4 (53 enodes) 1547633619.063 * * [misc]simplify: iters left: 3 (124 enodes) 1547633619.106 * * [misc]simplify: iters left: 2 (394 enodes) 1547633619.623 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1547633619.623 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1547633619.623 * * * * [misc]progress: [ 257 / 266 ] simplifiying candidate # 1547633619.623 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1547633619.623 * * [misc]simplify: iters left: 6 (13 enodes) 1547633619.626 * * [misc]simplify: iters left: 5 (24 enodes) 1547633619.631 * * [misc]simplify: iters left: 4 (54 enodes) 1547633619.645 * * [misc]simplify: iters left: 3 (151 enodes) 1547633619.718 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1547633619.718 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1547633619.718 * * * * [misc]progress: [ 258 / 266 ] simplifiying candidate # 1547633619.718 * [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)))) 1547633619.718 * * [misc]simplify: iters left: 6 (18 enodes) 1547633619.722 * * [misc]simplify: iters left: 5 (39 enodes) 1547633619.732 * * [misc]simplify: iters left: 4 (110 enodes) 1547633619.757 * * [misc]simplify: iters left: 3 (321 enodes) 1547633619.903 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1547633619.903 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633619.903 * * * * [misc]progress: [ 259 / 266 ] simplifiying candidate # 1547633619.903 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547633619.904 * * [misc]simplify: iters left: 5 (6 enodes) 1547633619.905 * * [misc]simplify: iters left: 4 (9 enodes) 1547633619.907 * * [misc]simplify: iters left: 3 (17 enodes) 1547633619.909 * * [misc]simplify: iters left: 2 (24 enodes) 1547633619.912 * * [misc]simplify: iters left: 1 (28 enodes) 1547633619.918 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1547633619.918 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633619.918 * * * * [misc]progress: [ 260 / 266 ] simplifiying candidate # 1547633619.918 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547633619.918 * * [misc]simplify: iters left: 5 (6 enodes) 1547633619.919 * * [misc]simplify: iters left: 4 (9 enodes) 1547633619.921 * * [misc]simplify: iters left: 3 (17 enodes) 1547633619.923 * * [misc]simplify: iters left: 2 (24 enodes) 1547633619.926 * * [misc]simplify: iters left: 1 (28 enodes) 1547633619.935 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1547633619.935 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633619.935 * * * * [misc]progress: [ 261 / 266 ] simplifiying candidate # 1547633619.935 * [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))))))))))))))) 1547633619.935 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633619.935 * * * * [misc]progress: [ 262 / 266 ] simplifiying candidate # 1547633619.935 * [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)))))))) 1547633619.935 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633619.935 * * * * [misc]progress: [ 263 / 266 ] simplifiying candidate # 1547633619.935 * [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)))))))) 1547633619.935 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633619.935 * * * * [misc]progress: [ 264 / 266 ] simplifiying candidate # 1547633619.936 * [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)))))))))))) 1547633619.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547633619.936 * * * * [misc]progress: [ 265 / 266 ] simplifiying candidate # 1547633619.936 * [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))))))))))) 1547633619.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547633619.936 * * * * [misc]progress: [ 266 / 266 ] simplifiying candidate # 1547633619.936 * [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))))))))) 1547633619.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1547633619.936 * * * [misc]progress: adding candidates to table 1547633623.295 * * [misc]progress: iteration 4 / 4 1547633623.295 * * * [misc]progress: picking best candidate 1547633623.316 * * * * [misc]pick: Picked # 1547633623.316 * * * [misc]progress: localizing error 1547633623.328 * * * [misc]progress: generating rewritten candidates 1547633623.328 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1547633623.331 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1547633623.333 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1547633623.350 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1547633623.365 * * * [misc]progress: generating series expansions 1547633623.365 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1547633623.365 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1547633623.365 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1547633623.365 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.365 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.365 * [misc]taylor: Taking taylor expansion of k in k 1547633623.365 * [misc]backup-simplify: Simplify 0 into 0 1547633623.365 * [misc]backup-simplify: Simplify 1 into 1 1547633623.365 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633623.365 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633623.366 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.366 * [misc]backup-simplify: Simplify 2 into 2 1547633623.366 * [misc]taylor: Taking taylor expansion of n in k 1547633623.366 * [misc]backup-simplify: Simplify n into n 1547633623.366 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633623.366 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633623.366 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.366 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.367 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.367 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633623.367 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633623.367 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.367 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.367 * [misc]taylor: Taking taylor expansion of k in n 1547633623.367 * [misc]backup-simplify: Simplify k into k 1547633623.367 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.367 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.367 * [misc]backup-simplify: Simplify 2 into 2 1547633623.367 * [misc]taylor: Taking taylor expansion of n in n 1547633623.367 * [misc]backup-simplify: Simplify 0 into 0 1547633623.367 * [misc]backup-simplify: Simplify 1 into 1 1547633623.367 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.368 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.368 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.368 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633623.368 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633623.368 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633623.369 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.369 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633623.369 * [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)))) 1547633623.369 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633623.369 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633623.369 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633623.369 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633623.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.369 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633623.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.369 * [misc]taylor: Taking taylor expansion of k in n 1547633623.370 * [misc]backup-simplify: Simplify k into k 1547633623.370 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.370 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.370 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.370 * [misc]backup-simplify: Simplify 2 into 2 1547633623.370 * [misc]taylor: Taking taylor expansion of n in n 1547633623.370 * [misc]backup-simplify: Simplify 0 into 0 1547633623.370 * [misc]backup-simplify: Simplify 1 into 1 1547633623.370 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.370 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.370 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.370 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633623.370 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633623.371 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633623.371 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.371 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633623.371 * [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)))) 1547633623.372 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.372 * [misc]backup-simplify: Simplify 2 into 2 1547633623.372 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.372 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of n in k 1547633623.372 * [misc]backup-simplify: Simplify n into n 1547633623.372 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633623.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.372 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.372 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.372 * [misc]taylor: Taking taylor expansion of k in k 1547633623.372 * [misc]backup-simplify: Simplify 0 into 0 1547633623.372 * [misc]backup-simplify: Simplify 1 into 1 1547633623.372 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1547633623.373 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.373 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.373 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.373 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1547633623.373 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547633623.374 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1547633623.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.377 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633623.377 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1547633623.377 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.378 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.378 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1547633623.379 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633623.379 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.379 * [misc]backup-simplify: Simplify 0 into 0 1547633623.380 * [misc]backup-simplify: Simplify 0 into 0 1547633623.380 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633623.380 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.380 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.383 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633623.383 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1547633623.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.384 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1547633623.385 * [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))))) 1547633623.386 * [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))))) 1547633623.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633623.391 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633623.391 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1547633623.391 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.392 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.392 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1547633623.394 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547633623.394 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.394 * [misc]backup-simplify: Simplify 0 into 0 1547633623.394 * [misc]backup-simplify: Simplify 0 into 0 1547633623.394 * [misc]backup-simplify: Simplify 0 into 0 1547633623.395 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.395 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.399 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633623.400 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1547633623.401 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.401 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1547633623.402 * [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))))) 1547633623.403 * [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))))) 1547633623.405 * [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))))) 1547633623.405 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.405 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1547633623.405 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of k in k 1547633623.405 * [misc]backup-simplify: Simplify 0 into 0 1547633623.405 * [misc]backup-simplify: Simplify 1 into 1 1547633623.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.405 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633623.405 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.405 * [misc]backup-simplify: Simplify 2 into 2 1547633623.405 * [misc]taylor: Taking taylor expansion of n in k 1547633623.405 * [misc]backup-simplify: Simplify n into n 1547633623.405 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633623.405 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633623.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.406 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.406 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.406 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633623.406 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.406 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.406 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.406 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of k in n 1547633623.406 * [misc]backup-simplify: Simplify k into k 1547633623.406 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633623.406 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633623.406 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.406 * [misc]backup-simplify: Simplify 2 into 2 1547633623.406 * [misc]taylor: Taking taylor expansion of n in n 1547633623.406 * [misc]backup-simplify: Simplify 0 into 0 1547633623.406 * [misc]backup-simplify: Simplify 1 into 1 1547633623.406 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633623.407 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.407 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633623.407 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633623.407 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633623.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633623.407 * [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))) 1547633623.407 * [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)))) 1547633623.407 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633623.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633623.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633623.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633623.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633623.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633623.408 * [misc]taylor: Taking taylor expansion of k in n 1547633623.408 * [misc]backup-simplify: Simplify k into k 1547633623.408 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633623.408 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633623.408 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633623.408 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.408 * [misc]backup-simplify: Simplify 2 into 2 1547633623.408 * [misc]taylor: Taking taylor expansion of n in n 1547633623.408 * [misc]backup-simplify: Simplify 0 into 0 1547633623.408 * [misc]backup-simplify: Simplify 1 into 1 1547633623.408 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633623.408 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633623.408 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633623.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633623.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633623.409 * [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))) 1547633623.409 * [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)))) 1547633623.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of k in k 1547633623.409 * [misc]backup-simplify: Simplify 0 into 0 1547633623.409 * [misc]backup-simplify: Simplify 1 into 1 1547633623.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.409 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of (log 2) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.409 * [misc]backup-simplify: Simplify 2 into 2 1547633623.409 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.409 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633623.409 * [misc]taylor: Taking taylor expansion of n in k 1547633623.409 * [misc]backup-simplify: Simplify n into n 1547633623.409 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633623.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.410 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.410 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.410 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633623.410 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1547633623.410 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1547633623.410 * [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)))) 1547633623.410 * [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)))) 1547633623.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633623.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633623.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633623.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633623.413 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633623.413 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633623.414 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633623.414 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.414 * [misc]backup-simplify: Simplify 0 into 0 1547633623.414 * [misc]backup-simplify: Simplify 0 into 0 1547633623.414 * [misc]backup-simplify: Simplify 0 into 0 1547633623.414 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633623.417 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633623.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633623.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633623.417 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633623.418 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547633623.419 * [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 1547633623.419 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.419 * [misc]backup-simplify: Simplify 0 into 0 1547633623.419 * [misc]backup-simplify: Simplify 0 into 0 1547633623.419 * [misc]backup-simplify: Simplify 0 into 0 1547633623.419 * [misc]backup-simplify: Simplify 0 into 0 1547633623.419 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633623.423 * [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 1547633623.424 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633623.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633623.424 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633623.425 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1547633623.427 * [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 1547633623.427 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.427 * [misc]backup-simplify: Simplify 0 into 0 1547633623.427 * [misc]backup-simplify: Simplify 0 into 0 1547633623.427 * [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)))) 1547633623.427 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.427 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1547633623.427 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.427 * [misc]taylor: Taking taylor expansion of k in k 1547633623.427 * [misc]backup-simplify: Simplify 0 into 0 1547633623.427 * [misc]backup-simplify: Simplify 1 into 1 1547633623.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.428 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633623.428 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633623.428 * [misc]taylor: Taking taylor expansion of -2 in k 1547633623.428 * [misc]backup-simplify: Simplify -2 into -2 1547633623.428 * [misc]taylor: Taking taylor expansion of n in k 1547633623.428 * [misc]backup-simplify: Simplify n into n 1547633623.428 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633623.428 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633623.428 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.428 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.428 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633623.428 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.428 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of k in n 1547633623.428 * [misc]backup-simplify: Simplify k into k 1547633623.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633623.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.428 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633623.428 * [misc]taylor: Taking taylor expansion of -2 in n 1547633623.428 * [misc]backup-simplify: Simplify -2 into -2 1547633623.428 * [misc]taylor: Taking taylor expansion of n in n 1547633623.429 * [misc]backup-simplify: Simplify 0 into 0 1547633623.429 * [misc]backup-simplify: Simplify 1 into 1 1547633623.429 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633623.429 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633623.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633623.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633623.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633623.429 * [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))) 1547633623.429 * [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)))) 1547633623.430 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of k in n 1547633623.430 * [misc]backup-simplify: Simplify k into k 1547633623.430 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633623.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.430 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633623.430 * [misc]taylor: Taking taylor expansion of -2 in n 1547633623.430 * [misc]backup-simplify: Simplify -2 into -2 1547633623.430 * [misc]taylor: Taking taylor expansion of n in n 1547633623.430 * [misc]backup-simplify: Simplify 0 into 0 1547633623.430 * [misc]backup-simplify: Simplify 1 into 1 1547633623.430 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633623.430 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633623.430 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633623.430 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633623.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633623.431 * [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))) 1547633623.431 * [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)))) 1547633623.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of k in k 1547633623.431 * [misc]backup-simplify: Simplify 0 into 0 1547633623.431 * [misc]backup-simplify: Simplify 1 into 1 1547633623.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.431 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of (log -2) in k 1547633623.431 * [misc]taylor: Taking taylor expansion of -2 in k 1547633623.431 * [misc]backup-simplify: Simplify -2 into -2 1547633623.432 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633623.432 * [misc]taylor: Taking taylor expansion of (log n) in k 1547633623.432 * [misc]taylor: Taking taylor expansion of n in k 1547633623.432 * [misc]backup-simplify: Simplify n into n 1547633623.432 * [misc]backup-simplify: Simplify (log n) into (log n) 1547633623.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.432 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1547633623.432 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1547633623.433 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1547633623.433 * [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)))) 1547633623.433 * [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)))) 1547633623.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633623.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633623.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633623.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633623.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633623.437 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633623.439 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633623.439 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.439 * [misc]backup-simplify: Simplify 0 into 0 1547633623.439 * [misc]backup-simplify: Simplify 0 into 0 1547633623.439 * [misc]backup-simplify: Simplify 0 into 0 1547633623.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633623.444 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547633623.444 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633623.444 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633623.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633623.445 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547633623.446 * [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 1547633623.446 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.446 * [misc]backup-simplify: Simplify 0 into 0 1547633623.446 * [misc]backup-simplify: Simplify 0 into 0 1547633623.446 * [misc]backup-simplify: Simplify 0 into 0 1547633623.446 * [misc]backup-simplify: Simplify 0 into 0 1547633623.446 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633623.450 * [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 1547633623.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633623.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1547633623.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.451 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633623.451 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1547633623.804 * [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 1547633623.805 * [misc]taylor: Taking taylor expansion of 0 in k 1547633623.805 * [misc]backup-simplify: Simplify 0 into 0 1547633623.805 * [misc]backup-simplify: Simplify 0 into 0 1547633623.805 * [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))))) 1547633623.805 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1547633623.805 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1547633623.805 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1547633623.805 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.805 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.805 * [misc]taylor: Taking taylor expansion of k in k 1547633623.805 * [misc]backup-simplify: Simplify 0 into 0 1547633623.805 * [misc]backup-simplify: Simplify 1 into 1 1547633623.805 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.805 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.805 * [misc]backup-simplify: Simplify PI into PI 1547633623.806 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.806 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.806 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.806 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.806 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.807 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633623.807 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.807 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.807 * [misc]taylor: Taking taylor expansion of k in k 1547633623.807 * [misc]backup-simplify: Simplify 0 into 0 1547633623.807 * [misc]backup-simplify: Simplify 1 into 1 1547633623.807 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.807 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.807 * [misc]backup-simplify: Simplify PI into PI 1547633623.807 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.807 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.807 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.807 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.808 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.808 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633623.808 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1547633623.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633623.810 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633623.810 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.810 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.811 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547633623.813 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633623.813 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633623.816 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633623.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.816 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547633623.820 * [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))) 1547633623.820 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1547633623.822 * [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)))) 1547633623.822 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.822 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1547633623.822 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633623.822 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633623.822 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633623.822 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633623.822 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.823 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.823 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.823 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.823 * [misc]taylor: Taking taylor expansion of k in k 1547633623.823 * [misc]backup-simplify: Simplify 0 into 0 1547633623.823 * [misc]backup-simplify: Simplify 1 into 1 1547633623.823 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.823 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.823 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.823 * [misc]backup-simplify: Simplify PI into PI 1547633623.823 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.823 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.823 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.823 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.824 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633623.824 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.824 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633623.824 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633623.824 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633623.825 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633623.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.825 * [misc]taylor: Taking taylor expansion of k in k 1547633623.825 * [misc]backup-simplify: Simplify 0 into 0 1547633623.825 * [misc]backup-simplify: Simplify 1 into 1 1547633623.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.825 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.825 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.825 * [misc]backup-simplify: Simplify PI into PI 1547633623.825 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.825 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.826 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.826 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.826 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633623.827 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.827 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify 0 into 0 1547633623.827 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1547633623.828 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.828 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1547633623.828 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of k in k 1547633623.828 * [misc]backup-simplify: Simplify 0 into 0 1547633623.828 * [misc]backup-simplify: Simplify 1 into 1 1547633623.828 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.828 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.828 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.828 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.828 * [misc]backup-simplify: Simplify PI into PI 1547633623.829 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.829 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.829 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.830 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.830 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.830 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.830 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.830 * [misc]taylor: Taking taylor expansion of k in k 1547633623.830 * [misc]backup-simplify: Simplify 0 into 0 1547633623.830 * [misc]backup-simplify: Simplify 1 into 1 1547633623.831 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.831 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.831 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.831 * [misc]backup-simplify: Simplify PI into PI 1547633623.831 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.831 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633623.831 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.832 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.832 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.832 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633623.832 * [misc]backup-simplify: Simplify 0 into 0 1547633623.832 * [misc]backup-simplify: Simplify 0 into 0 1547633623.833 * [misc]backup-simplify: Simplify 0 into 0 1547633623.833 * [misc]backup-simplify: Simplify 0 into 0 1547633623.833 * [misc]backup-simplify: Simplify 0 into 0 1547633623.833 * [misc]backup-simplify: Simplify 0 into 0 1547633623.833 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1547633623.833 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1547633623.833 * [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))) 1547633623.833 * [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 1547633623.833 * [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 1547633623.833 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547633623.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633623.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633623.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633623.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633623.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633623.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.834 * [misc]taylor: Taking taylor expansion of k in n 1547633623.834 * [misc]backup-simplify: Simplify k into k 1547633623.834 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.834 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.834 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.834 * [misc]backup-simplify: Simplify 2 into 2 1547633623.834 * [misc]taylor: Taking taylor expansion of n in n 1547633623.834 * [misc]backup-simplify: Simplify 0 into 0 1547633623.834 * [misc]backup-simplify: Simplify 1 into 1 1547633623.834 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.834 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.834 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.835 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633623.835 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633623.835 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633623.835 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.835 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633623.836 * [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)))) 1547633623.836 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.836 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633623.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.836 * [misc]taylor: Taking taylor expansion of k in n 1547633623.836 * [misc]backup-simplify: Simplify k into k 1547633623.836 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633623.836 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.836 * [misc]backup-simplify: Simplify PI into PI 1547633623.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.837 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633623.837 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633623.837 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633623.837 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547633623.837 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547633623.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1547633623.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633623.838 * [misc]taylor: Taking taylor expansion of k in n 1547633623.838 * [misc]backup-simplify: Simplify k into k 1547633623.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633623.838 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1547633623.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633623.838 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1547633623.838 * [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 1547633623.838 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.838 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.838 * [misc]taylor: Taking taylor expansion of k in k 1547633623.838 * [misc]backup-simplify: Simplify 0 into 0 1547633623.838 * [misc]backup-simplify: Simplify 1 into 1 1547633623.838 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633623.838 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.838 * [misc]backup-simplify: Simplify 2 into 2 1547633623.838 * [misc]taylor: Taking taylor expansion of n in k 1547633623.838 * [misc]backup-simplify: Simplify n into n 1547633623.839 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633623.839 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633623.839 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.839 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.839 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.839 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633623.839 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633623.839 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633623.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633623.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633623.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.840 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.840 * [misc]taylor: Taking taylor expansion of k in k 1547633623.840 * [misc]backup-simplify: Simplify 0 into 0 1547633623.840 * [misc]backup-simplify: Simplify 1 into 1 1547633623.840 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.840 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.840 * [misc]backup-simplify: Simplify PI into PI 1547633623.840 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.840 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.840 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.840 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.841 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.842 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633623.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633623.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.842 * [misc]taylor: Taking taylor expansion of k in k 1547633623.842 * [misc]backup-simplify: Simplify 0 into 0 1547633623.842 * [misc]backup-simplify: Simplify 1 into 1 1547633623.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.843 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633623.843 * [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 1547633623.843 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.843 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.843 * [misc]taylor: Taking taylor expansion of k in k 1547633623.843 * [misc]backup-simplify: Simplify 0 into 0 1547633623.843 * [misc]backup-simplify: Simplify 1 into 1 1547633623.843 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633623.843 * [misc]taylor: Taking taylor expansion of 2 in k 1547633623.843 * [misc]backup-simplify: Simplify 2 into 2 1547633623.843 * [misc]taylor: Taking taylor expansion of n in k 1547633623.843 * [misc]backup-simplify: Simplify n into n 1547633623.843 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633623.843 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633623.844 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.844 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.844 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.844 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633623.844 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633623.844 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633623.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633623.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633623.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633623.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.844 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633623.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633623.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633623.844 * [misc]taylor: Taking taylor expansion of k in k 1547633623.844 * [misc]backup-simplify: Simplify 0 into 0 1547633623.844 * [misc]backup-simplify: Simplify 1 into 1 1547633623.844 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633623.845 * [misc]taylor: Taking taylor expansion of PI in k 1547633623.845 * [misc]backup-simplify: Simplify PI into PI 1547633623.845 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.845 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633623.845 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.845 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633623.846 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633623.847 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633623.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1547633623.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633623.847 * [misc]taylor: Taking taylor expansion of k in k 1547633623.847 * [misc]backup-simplify: Simplify 0 into 0 1547633623.847 * [misc]backup-simplify: Simplify 1 into 1 1547633623.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633623.847 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.848 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633623.848 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547633623.848 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1547633623.848 * [misc]taylor: Taking taylor expansion of 0 in n 1547633623.848 * [misc]backup-simplify: Simplify 0 into 0 1547633623.848 * [misc]backup-simplify: Simplify 0 into 0 1547633623.851 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633623.851 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633623.851 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.851 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547633623.854 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633623.854 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547633623.854 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547633623.855 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633623.855 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633623.855 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633623.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547633623.855 * [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)))) 1547633623.856 * [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)))))) 1547633623.857 * [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))))) 1547633623.857 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1547633623.857 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633623.857 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.857 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.857 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633623.857 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.857 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.857 * [misc]backup-simplify: Simplify 2 into 2 1547633623.858 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.858 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.858 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633623.858 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633623.858 * [misc]taylor: Taking taylor expansion of n in n 1547633623.858 * [misc]backup-simplify: Simplify 0 into 0 1547633623.858 * [misc]backup-simplify: Simplify 1 into 1 1547633623.858 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.858 * [misc]backup-simplify: Simplify PI into PI 1547633623.858 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633623.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633623.858 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.859 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.859 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633623.859 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.859 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.859 * [misc]backup-simplify: Simplify 0 into 0 1547633623.859 * [misc]backup-simplify: Simplify 0 into 0 1547633623.859 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1547633623.860 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633623.863 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633623.863 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.863 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.863 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547633623.866 * [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))) 1547633623.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547633623.867 * [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 1547633623.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.868 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547633623.869 * [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))) 1547633623.871 * [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))))))) 1547633623.873 * [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))))))))) 1547633623.873 * [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 1547633623.873 * [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 1547633623.873 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547633623.873 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.873 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547633623.873 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547633623.873 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.873 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.873 * [misc]backup-simplify: Simplify 2 into 2 1547633623.874 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.874 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633623.874 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.874 * [misc]backup-simplify: Simplify PI into PI 1547633623.874 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.874 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.874 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.874 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.874 * [misc]backup-simplify: Simplify PI into PI 1547633623.874 * [misc]taylor: Taking taylor expansion of n in n 1547633623.874 * [misc]backup-simplify: Simplify 0 into 0 1547633623.874 * [misc]backup-simplify: Simplify 1 into 1 1547633623.874 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.875 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.875 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.875 * [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 1547633623.875 * [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 1547633623.875 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633623.875 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.875 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.875 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633623.875 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.875 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.875 * [misc]backup-simplify: Simplify 2 into 2 1547633623.875 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.876 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.876 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633623.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633623.876 * [misc]taylor: Taking taylor expansion of n in n 1547633623.876 * [misc]backup-simplify: Simplify 0 into 0 1547633623.876 * [misc]backup-simplify: Simplify 1 into 1 1547633623.876 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.876 * [misc]backup-simplify: Simplify PI into PI 1547633623.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633623.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633623.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.877 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.877 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.877 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.877 * [misc]backup-simplify: Simplify 2 into 2 1547633623.877 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.877 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.877 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.877 * [misc]backup-simplify: Simplify 2 into 2 1547633623.877 * [misc]taylor: Taking taylor expansion of n in n 1547633623.877 * [misc]backup-simplify: Simplify 0 into 0 1547633623.877 * [misc]backup-simplify: Simplify 1 into 1 1547633623.877 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.877 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.877 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.878 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.878 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.878 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.878 * [misc]backup-simplify: Simplify PI into PI 1547633623.878 * [misc]taylor: Taking taylor expansion of n in n 1547633623.878 * [misc]backup-simplify: Simplify 0 into 0 1547633623.878 * [misc]backup-simplify: Simplify 1 into 1 1547633623.878 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.878 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.878 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.879 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.879 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547633623.879 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547633623.880 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.880 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633623.880 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.880 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.880 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547633623.880 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.881 * [misc]backup-simplify: Simplify 0 into 0 1547633623.882 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.883 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.884 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.884 * [misc]backup-simplify: Simplify 0 into 0 1547633623.884 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633623.885 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633623.891 * [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 1547633623.891 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633623.891 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.891 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1547633623.900 * [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))) 1547633623.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1547633623.904 * [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 1547633623.904 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1547633623.904 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.905 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1547633623.907 * [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))) 1547633623.910 * [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))))))))) 1547633623.916 * [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))))))))))))))) 1547633623.916 * [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 1547633623.916 * [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 1547633623.916 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547633623.916 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.916 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.916 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547633623.916 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547633623.916 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.916 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.916 * [misc]backup-simplify: Simplify 2 into 2 1547633623.917 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.917 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633623.917 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.917 * [misc]backup-simplify: Simplify PI into PI 1547633623.917 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.917 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.917 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.917 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.917 * [misc]backup-simplify: Simplify PI into PI 1547633623.917 * [misc]taylor: Taking taylor expansion of n in n 1547633623.917 * [misc]backup-simplify: Simplify 0 into 0 1547633623.917 * [misc]backup-simplify: Simplify 1 into 1 1547633623.917 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.918 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.918 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.918 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.918 * [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 1547633623.918 * [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 1547633623.918 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547633623.918 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.918 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.918 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547633623.918 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547633623.918 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.918 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.918 * [misc]backup-simplify: Simplify 2 into 2 1547633623.919 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.919 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.919 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547633623.919 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633623.919 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.919 * [misc]backup-simplify: Simplify PI into PI 1547633623.919 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.919 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.919 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.919 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.919 * [misc]backup-simplify: Simplify PI into PI 1547633623.919 * [misc]taylor: Taking taylor expansion of n in n 1547633623.919 * [misc]backup-simplify: Simplify 0 into 0 1547633623.919 * [misc]backup-simplify: Simplify 1 into 1 1547633623.919 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.920 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.920 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.920 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.920 * [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 1547633623.920 * [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 1547633623.920 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547633623.920 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.920 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.920 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547633623.920 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547633623.920 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.920 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.920 * [misc]backup-simplify: Simplify 2 into 2 1547633623.920 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.920 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.921 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547633623.921 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.921 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.921 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.921 * [misc]backup-simplify: Simplify 2 into 2 1547633623.921 * [misc]taylor: Taking taylor expansion of n in n 1547633623.921 * [misc]backup-simplify: Simplify 0 into 0 1547633623.921 * [misc]backup-simplify: Simplify 1 into 1 1547633623.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.921 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.921 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.921 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.921 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.921 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.921 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.921 * [misc]backup-simplify: Simplify PI into PI 1547633623.921 * [misc]taylor: Taking taylor expansion of n in n 1547633623.921 * [misc]backup-simplify: Simplify 0 into 0 1547633623.921 * [misc]backup-simplify: Simplify 1 into 1 1547633623.922 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.922 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.922 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.922 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.922 * [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 1547633623.922 * [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 1547633623.922 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.923 * [misc]backup-simplify: Simplify 2 into 2 1547633623.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.923 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.923 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.923 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.923 * [misc]backup-simplify: Simplify 2 into 2 1547633623.923 * [misc]taylor: Taking taylor expansion of n in n 1547633623.923 * [misc]backup-simplify: Simplify 0 into 0 1547633623.923 * [misc]backup-simplify: Simplify 1 into 1 1547633623.924 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.925 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.925 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.925 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633623.925 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.925 * [misc]backup-simplify: Simplify PI into PI 1547633623.925 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633623.925 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633623.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633623.925 * [misc]taylor: Taking taylor expansion of n in n 1547633623.925 * [misc]backup-simplify: Simplify 0 into 0 1547633623.925 * [misc]backup-simplify: Simplify 1 into 1 1547633623.925 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.925 * [misc]backup-simplify: Simplify PI into PI 1547633623.925 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633623.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633623.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.926 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.926 * [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 1547633623.926 * [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 1547633623.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1547633623.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.926 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1547633623.926 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.926 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.926 * [misc]backup-simplify: Simplify 2 into 2 1547633623.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.927 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1547633623.927 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1547633623.927 * [misc]taylor: Taking taylor expansion of n in n 1547633623.927 * [misc]backup-simplify: Simplify 0 into 0 1547633623.927 * [misc]backup-simplify: Simplify 1 into 1 1547633623.927 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.927 * [misc]backup-simplify: Simplify PI into PI 1547633623.927 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1547633623.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1547633623.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.928 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.928 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633623.928 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633623.928 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.928 * [misc]backup-simplify: Simplify 2 into 2 1547633623.928 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633623.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633623.928 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633623.928 * [misc]taylor: Taking taylor expansion of 2 in n 1547633623.928 * [misc]backup-simplify: Simplify 2 into 2 1547633623.928 * [misc]taylor: Taking taylor expansion of n in n 1547633623.928 * [misc]backup-simplify: Simplify 0 into 0 1547633623.928 * [misc]backup-simplify: Simplify 1 into 1 1547633623.928 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633623.929 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633623.929 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633623.929 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633623.929 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633623.929 * [misc]taylor: Taking taylor expansion of PI in n 1547633623.929 * [misc]backup-simplify: Simplify PI into PI 1547633623.929 * [misc]taylor: Taking taylor expansion of n in n 1547633623.929 * [misc]backup-simplify: Simplify 0 into 0 1547633623.929 * [misc]backup-simplify: Simplify 1 into 1 1547633623.929 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633623.929 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633623.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633623.930 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633623.930 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547633623.931 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547633623.931 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.931 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547633623.932 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547633623.933 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547633623.933 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.933 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.933 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.934 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547633623.934 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547633623.934 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547633623.934 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.934 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.935 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547633623.935 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547633623.936 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1547633623.936 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.936 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1547633623.936 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.936 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547633623.937 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.938 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633623.938 * [misc]backup-simplify: Simplify (- 0) into 0 1547633623.938 * [misc]backup-simplify: Simplify 0 into 0 1547633623.940 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633623.940 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547633623.942 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633623.945 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633623.946 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.948 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1547633623.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633623.950 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633623.951 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633623.951 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547633623.952 * [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)))))) 1547633623.954 * [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)))))) 1547633623.956 * [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)))))) 1547633623.959 * [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))))))) 1547633623.963 * [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))))))) 1547633623.969 * [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))))))))) 1547633623.976 * [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))))))))) 1547633623.983 * [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))))))))) 1547633623.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1547633623.986 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547633623.987 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1547633623.990 * [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)))) 1547633623.994 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633623.996 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633623.997 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1547633624.003 * [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))))))))))))))) 1547633624.003 * [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)) 1547633624.003 * [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 1547633624.003 * [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 1547633624.003 * [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 1547633624.003 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of k in n 1547633624.003 * [misc]backup-simplify: Simplify k into k 1547633624.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.003 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.003 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.003 * [misc]backup-simplify: Simplify PI into PI 1547633624.004 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.004 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.004 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.004 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.004 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of k in n 1547633624.004 * [misc]backup-simplify: Simplify k into k 1547633624.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.004 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.004 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.004 * [misc]backup-simplify: Simplify 2 into 2 1547633624.004 * [misc]taylor: Taking taylor expansion of n in n 1547633624.004 * [misc]backup-simplify: Simplify 0 into 0 1547633624.005 * [misc]backup-simplify: Simplify 1 into 1 1547633624.005 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.005 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.005 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.005 * [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))) 1547633624.006 * [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)))) 1547633624.006 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1547633624.006 * [misc]taylor: Taking taylor expansion of k in n 1547633624.006 * [misc]backup-simplify: Simplify k into k 1547633624.006 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1547633624.006 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1547633624.006 * [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 1547633624.006 * [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 1547633624.006 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of k in k 1547633624.006 * [misc]backup-simplify: Simplify 0 into 0 1547633624.006 * [misc]backup-simplify: Simplify 1 into 1 1547633624.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.006 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.006 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.006 * [misc]backup-simplify: Simplify PI into PI 1547633624.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.006 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.007 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633624.007 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.007 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.007 * [misc]taylor: Taking taylor expansion of k in k 1547633624.007 * [misc]backup-simplify: Simplify 0 into 0 1547633624.007 * [misc]backup-simplify: Simplify 1 into 1 1547633624.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.008 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633624.008 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633624.008 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.008 * [misc]backup-simplify: Simplify 2 into 2 1547633624.008 * [misc]taylor: Taking taylor expansion of n in k 1547633624.008 * [misc]backup-simplify: Simplify n into n 1547633624.008 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633624.008 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633624.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.008 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.008 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.008 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633624.008 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.008 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633624.008 * [misc]taylor: Taking taylor expansion of k in k 1547633624.008 * [misc]backup-simplify: Simplify 0 into 0 1547633624.008 * [misc]backup-simplify: Simplify 1 into 1 1547633624.008 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.009 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633624.009 * [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 1547633624.009 * [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 1547633624.009 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.009 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of k in k 1547633624.009 * [misc]backup-simplify: Simplify 0 into 0 1547633624.009 * [misc]backup-simplify: Simplify 1 into 1 1547633624.009 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.009 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.009 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.009 * [misc]backup-simplify: Simplify PI into PI 1547633624.009 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.010 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.010 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.010 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633624.010 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.010 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.010 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633624.010 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633624.010 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.011 * [misc]taylor: Taking taylor expansion of k in k 1547633624.011 * [misc]backup-simplify: Simplify 0 into 0 1547633624.011 * [misc]backup-simplify: Simplify 1 into 1 1547633624.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.011 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633624.011 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633624.011 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.011 * [misc]backup-simplify: Simplify 2 into 2 1547633624.011 * [misc]taylor: Taking taylor expansion of n in k 1547633624.011 * [misc]backup-simplify: Simplify n into n 1547633624.011 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633624.011 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633624.011 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.011 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.011 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.011 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633624.011 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.012 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1547633624.012 * [misc]taylor: Taking taylor expansion of k in k 1547633624.012 * [misc]backup-simplify: Simplify 0 into 0 1547633624.012 * [misc]backup-simplify: Simplify 1 into 1 1547633624.012 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.012 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1547633624.012 * [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))))) 1547633624.013 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1547633624.013 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.013 * [misc]backup-simplify: Simplify 0 into 0 1547633624.013 * [misc]backup-simplify: Simplify 0 into 0 1547633624.013 * [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 1547633624.014 * [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))))))) 1547633624.014 * [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 1547633624.014 * [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 1547633624.014 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.014 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.014 * [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 1547633624.014 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of k in n 1547633624.014 * [misc]backup-simplify: Simplify k into k 1547633624.014 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.014 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.014 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.014 * [misc]backup-simplify: Simplify PI into PI 1547633624.015 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.015 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.015 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.015 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.015 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.016 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.016 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of k in n 1547633624.016 * [misc]backup-simplify: Simplify k into k 1547633624.016 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.016 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.016 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.016 * [misc]backup-simplify: Simplify 2 into 2 1547633624.016 * [misc]taylor: Taking taylor expansion of n in n 1547633624.016 * [misc]backup-simplify: Simplify 0 into 0 1547633624.016 * [misc]backup-simplify: Simplify 1 into 1 1547633624.017 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.017 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.017 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.017 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.017 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.018 * [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))) 1547633624.018 * [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)))) 1547633624.019 * [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))))) 1547633624.019 * [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)))))) 1547633624.019 * [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))))))) 1547633624.020 * [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))))))) 1547633624.020 * [misc]backup-simplify: Simplify 0 into 0 1547633624.021 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633624.022 * [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 1547633624.022 * [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))))))) 1547633624.022 * [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 1547633624.022 * [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 1547633624.022 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.022 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.022 * [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 1547633624.022 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.022 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.023 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of k in n 1547633624.023 * [misc]backup-simplify: Simplify k into k 1547633624.023 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.023 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.023 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.023 * [misc]backup-simplify: Simplify PI into PI 1547633624.023 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.023 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.023 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.024 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.024 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.024 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.024 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.024 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.024 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.024 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.024 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.025 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.025 * [misc]taylor: Taking taylor expansion of k in n 1547633624.025 * [misc]backup-simplify: Simplify k into k 1547633624.025 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.025 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.025 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.025 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.025 * [misc]backup-simplify: Simplify 2 into 2 1547633624.025 * [misc]taylor: Taking taylor expansion of n in n 1547633624.025 * [misc]backup-simplify: Simplify 0 into 0 1547633624.025 * [misc]backup-simplify: Simplify 1 into 1 1547633624.025 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.025 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.025 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.025 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.025 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.026 * [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))) 1547633624.026 * [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)))) 1547633624.027 * [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))))) 1547633624.027 * [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)))))) 1547633624.028 * [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))))))) 1547633624.028 * [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))))))) 1547633624.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633624.033 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633624.034 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.034 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.034 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.034 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.035 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.035 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633624.036 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.039 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.039 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.039 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.040 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547633624.041 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.042 * [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 1547633624.042 * [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 1547633624.043 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.043 * [misc]backup-simplify: Simplify 0 into 0 1547633624.043 * [misc]backup-simplify: Simplify 0 into 0 1547633624.044 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633624.044 * [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 1547633624.045 * [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))))))) 1547633624.045 * [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 1547633624.045 * [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 1547633624.045 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.045 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.045 * [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 1547633624.045 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.046 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.046 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.046 * [misc]taylor: Taking taylor expansion of k in n 1547633624.046 * [misc]backup-simplify: Simplify k into k 1547633624.046 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.046 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.046 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.046 * [misc]backup-simplify: Simplify PI into PI 1547633624.046 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.046 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.046 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.046 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.047 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.047 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.047 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.047 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.047 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.047 * [misc]taylor: Taking taylor expansion of k in n 1547633624.048 * [misc]backup-simplify: Simplify k into k 1547633624.048 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.048 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.048 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.048 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.048 * [misc]backup-simplify: Simplify 2 into 2 1547633624.048 * [misc]taylor: Taking taylor expansion of n in n 1547633624.048 * [misc]backup-simplify: Simplify 0 into 0 1547633624.048 * [misc]backup-simplify: Simplify 1 into 1 1547633624.048 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.048 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.048 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.048 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.048 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.049 * [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))) 1547633624.049 * [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)))) 1547633624.050 * [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))))) 1547633624.050 * [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)))))) 1547633624.051 * [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))))))) 1547633624.051 * [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))))))) 1547633624.054 * [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)))))))) 1547633624.054 * [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))) 1547633624.054 * [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 1547633624.054 * [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 1547633624.054 * [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 1547633624.054 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.054 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.054 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.055 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of k in n 1547633624.055 * [misc]backup-simplify: Simplify k into k 1547633624.055 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.055 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.055 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.055 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.055 * [misc]backup-simplify: Simplify -2 into -2 1547633624.055 * [misc]taylor: Taking taylor expansion of n in n 1547633624.055 * [misc]backup-simplify: Simplify 0 into 0 1547633624.055 * [misc]backup-simplify: Simplify 1 into 1 1547633624.055 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.055 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.055 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.056 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.056 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.056 * [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))) 1547633624.056 * [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)))) 1547633624.057 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of k in n 1547633624.057 * [misc]backup-simplify: Simplify k into k 1547633624.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.057 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.057 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.057 * [misc]backup-simplify: Simplify PI into PI 1547633624.058 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.058 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.058 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.059 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.059 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1547633624.059 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1547633624.059 * [misc]taylor: Taking taylor expansion of -1 in n 1547633624.059 * [misc]backup-simplify: Simplify -1 into -1 1547633624.059 * [misc]taylor: Taking taylor expansion of k in n 1547633624.059 * [misc]backup-simplify: Simplify k into k 1547633624.059 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1547633624.059 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1547633624.059 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1547633624.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1547633624.060 * [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))) 1547633624.060 * [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))) 1547633624.060 * [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 1547633624.060 * [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 1547633624.060 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.060 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633624.060 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633624.060 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.061 * [misc]taylor: Taking taylor expansion of k in k 1547633624.061 * [misc]backup-simplify: Simplify 0 into 0 1547633624.061 * [misc]backup-simplify: Simplify 1 into 1 1547633624.061 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.061 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633624.061 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633624.061 * [misc]taylor: Taking taylor expansion of -2 in k 1547633624.061 * [misc]backup-simplify: Simplify -2 into -2 1547633624.061 * [misc]taylor: Taking taylor expansion of n in k 1547633624.061 * [misc]backup-simplify: Simplify n into n 1547633624.061 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633624.061 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633624.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.062 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633624.062 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.062 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of k in k 1547633624.062 * [misc]backup-simplify: Simplify 0 into 0 1547633624.062 * [misc]backup-simplify: Simplify 1 into 1 1547633624.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.062 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.062 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.062 * [misc]backup-simplify: Simplify PI into PI 1547633624.063 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.064 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.065 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.065 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633624.065 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633624.065 * [misc]taylor: Taking taylor expansion of -1 in k 1547633624.065 * [misc]backup-simplify: Simplify -1 into -1 1547633624.065 * [misc]taylor: Taking taylor expansion of k in k 1547633624.065 * [misc]backup-simplify: Simplify 0 into 0 1547633624.065 * [misc]backup-simplify: Simplify 1 into 1 1547633624.065 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633624.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.065 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633624.066 * [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))) 1547633624.066 * [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)))) 1547633624.066 * [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 1547633624.066 * [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 1547633624.066 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.066 * [misc]taylor: Taking taylor expansion of k in k 1547633624.066 * [misc]backup-simplify: Simplify 0 into 0 1547633624.066 * [misc]backup-simplify: Simplify 1 into 1 1547633624.067 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.067 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.067 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633624.067 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633624.067 * [misc]taylor: Taking taylor expansion of -2 in k 1547633624.067 * [misc]backup-simplify: Simplify -2 into -2 1547633624.067 * [misc]taylor: Taking taylor expansion of n in k 1547633624.067 * [misc]backup-simplify: Simplify n into n 1547633624.067 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633624.067 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633624.067 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.067 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.067 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633624.068 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.068 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of k in k 1547633624.068 * [misc]backup-simplify: Simplify 0 into 0 1547633624.068 * [misc]backup-simplify: Simplify 1 into 1 1547633624.068 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.068 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.068 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.068 * [misc]backup-simplify: Simplify PI into PI 1547633624.068 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.069 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.069 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.069 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.070 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.070 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1547633624.070 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1547633624.070 * [misc]taylor: Taking taylor expansion of -1 in k 1547633624.070 * [misc]backup-simplify: Simplify -1 into -1 1547633624.070 * [misc]taylor: Taking taylor expansion of k in k 1547633624.070 * [misc]backup-simplify: Simplify 0 into 0 1547633624.070 * [misc]backup-simplify: Simplify 1 into 1 1547633624.070 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1547633624.070 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.071 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1547633624.071 * [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))) 1547633624.071 * [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)))) 1547633624.071 * [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 1547633624.071 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.071 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.071 * [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 1547633624.071 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.071 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of k in n 1547633624.072 * [misc]backup-simplify: Simplify k into k 1547633624.072 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.072 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.072 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.072 * [misc]backup-simplify: Simplify -2 into -2 1547633624.072 * [misc]taylor: Taking taylor expansion of n in n 1547633624.072 * [misc]backup-simplify: Simplify 0 into 0 1547633624.072 * [misc]backup-simplify: Simplify 1 into 1 1547633624.072 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.072 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.072 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.073 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.074 * [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))) 1547633624.075 * [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)))) 1547633624.075 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of k in n 1547633624.075 * [misc]backup-simplify: Simplify k into k 1547633624.075 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.075 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.075 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.075 * [misc]backup-simplify: Simplify PI into PI 1547633624.075 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.076 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.076 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.076 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.076 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.077 * [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))) 1547633624.077 * [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)))) 1547633624.078 * [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)))) 1547633624.078 * [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 1547633624.079 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1547633624.080 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1547633624.080 * [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))))) 1547633624.080 * [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 1547633624.080 * [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 1547633624.081 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.081 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.081 * [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 1547633624.081 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of k in n 1547633624.081 * [misc]backup-simplify: Simplify k into k 1547633624.081 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.081 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.081 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.081 * [misc]backup-simplify: Simplify -2 into -2 1547633624.081 * [misc]taylor: Taking taylor expansion of n in n 1547633624.081 * [misc]backup-simplify: Simplify 0 into 0 1547633624.081 * [misc]backup-simplify: Simplify 1 into 1 1547633624.081 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.081 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.082 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.082 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.082 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.082 * [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))) 1547633624.083 * [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)))) 1547633624.083 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of k in n 1547633624.083 * [misc]backup-simplify: Simplify k into k 1547633624.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.083 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.083 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.083 * [misc]backup-simplify: Simplify PI into PI 1547633624.083 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.084 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.084 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.084 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.085 * [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))) 1547633624.085 * [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)))) 1547633624.086 * [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))))) 1547633624.086 * [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))))) 1547633624.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.089 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.090 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547633624.091 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.091 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633624.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633624.094 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.095 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633624.096 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.097 * [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 1547633624.097 * [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 1547633624.097 * [misc]backup-simplify: Simplify 0 into 0 1547633624.098 * [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 1547633624.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633624.099 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1547633624.100 * [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))))) 1547633624.100 * [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 1547633624.100 * [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 1547633624.100 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1547633624.100 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1547633624.100 * [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 1547633624.100 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of k in n 1547633624.100 * [misc]backup-simplify: Simplify k into k 1547633624.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.100 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.100 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.100 * [misc]backup-simplify: Simplify -2 into -2 1547633624.100 * [misc]taylor: Taking taylor expansion of n in n 1547633624.100 * [misc]backup-simplify: Simplify 0 into 0 1547633624.100 * [misc]backup-simplify: Simplify 1 into 1 1547633624.101 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.101 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.101 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.101 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.101 * [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))) 1547633624.101 * [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)))) 1547633624.101 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.101 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.101 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.101 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.101 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.101 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.102 * [misc]taylor: Taking taylor expansion of k in n 1547633624.102 * [misc]backup-simplify: Simplify k into k 1547633624.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.102 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.102 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.102 * [misc]backup-simplify: Simplify PI into PI 1547633624.102 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.102 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.102 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.102 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.102 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.103 * [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))) 1547633624.103 * [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)))) 1547633624.103 * [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))))) 1547633624.104 * [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))))) 1547633624.105 * [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)))))))) 1547633624.105 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1547633624.105 * [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)))) 1547633624.105 * [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 1547633624.105 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.105 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.105 * [misc]taylor: Taking taylor expansion of k in n 1547633624.105 * [misc]backup-simplify: Simplify k into k 1547633624.105 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633624.105 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.105 * [misc]backup-simplify: Simplify 2 into 2 1547633624.105 * [misc]taylor: Taking taylor expansion of n in n 1547633624.105 * [misc]backup-simplify: Simplify 0 into 0 1547633624.105 * [misc]backup-simplify: Simplify 1 into 1 1547633624.106 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633624.106 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633624.106 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.106 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633624.106 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633624.106 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633624.106 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.106 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1547633624.107 * [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)))) 1547633624.107 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.107 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.107 * [misc]taylor: Taking taylor expansion of k in n 1547633624.107 * [misc]backup-simplify: Simplify k into k 1547633624.107 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.107 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.107 * [misc]backup-simplify: Simplify PI into PI 1547633624.107 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.107 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1547633624.107 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1547633624.107 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1547633624.107 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1547633624.108 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1547633624.108 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.108 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.108 * [misc]taylor: Taking taylor expansion of k in k 1547633624.108 * [misc]backup-simplify: Simplify 0 into 0 1547633624.108 * [misc]backup-simplify: Simplify 1 into 1 1547633624.108 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633624.108 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.108 * [misc]backup-simplify: Simplify 2 into 2 1547633624.108 * [misc]taylor: Taking taylor expansion of n in k 1547633624.108 * [misc]backup-simplify: Simplify n into n 1547633624.108 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633624.108 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633624.108 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.108 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.108 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.108 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633624.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633624.109 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.109 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.109 * [misc]taylor: Taking taylor expansion of k in k 1547633624.109 * [misc]backup-simplify: Simplify 0 into 0 1547633624.109 * [misc]backup-simplify: Simplify 1 into 1 1547633624.109 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.109 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.109 * [misc]backup-simplify: Simplify PI into PI 1547633624.109 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.109 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.109 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.109 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.110 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.110 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633624.110 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.110 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.110 * [misc]taylor: Taking taylor expansion of k in k 1547633624.110 * [misc]backup-simplify: Simplify 0 into 0 1547633624.110 * [misc]backup-simplify: Simplify 1 into 1 1547633624.110 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1547633624.110 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.110 * [misc]backup-simplify: Simplify 2 into 2 1547633624.110 * [misc]taylor: Taking taylor expansion of n in k 1547633624.110 * [misc]backup-simplify: Simplify n into n 1547633624.110 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1547633624.110 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1547633624.111 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.111 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.111 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.111 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1547633624.111 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1547633624.111 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.111 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.111 * [misc]taylor: Taking taylor expansion of k in k 1547633624.111 * [misc]backup-simplify: Simplify 0 into 0 1547633624.111 * [misc]backup-simplify: Simplify 1 into 1 1547633624.111 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.111 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.111 * [misc]backup-simplify: Simplify PI into PI 1547633624.111 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.111 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.111 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.112 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.112 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.112 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1547633624.113 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1547633624.113 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1547633624.113 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1547633624.113 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.113 * [misc]backup-simplify: Simplify PI into PI 1547633624.113 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1547633624.113 * [misc]taylor: Taking taylor expansion of n in n 1547633624.113 * [misc]backup-simplify: Simplify 0 into 0 1547633624.113 * [misc]backup-simplify: Simplify 1 into 1 1547633624.113 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.113 * [misc]backup-simplify: Simplify 2 into 2 1547633624.113 * [misc]backup-simplify: Simplify (* 0 2) into 0 1547633624.113 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.113 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1547633624.114 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1547633624.114 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.114 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.115 * [misc]backup-simplify: Simplify 0 into 0 1547633624.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.116 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633624.117 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.117 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1547633624.119 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1547633624.119 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1547633624.120 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1547633624.120 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1547633624.121 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.121 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1547633624.121 * [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)))) 1547633624.123 * [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)))))) 1547633624.123 * [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 1547633624.123 * [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 1547633624.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1547633624.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.123 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1547633624.123 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1547633624.123 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633624.123 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.123 * [misc]backup-simplify: Simplify 2 into 2 1547633624.124 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633624.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633624.124 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.124 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.124 * [misc]backup-simplify: Simplify PI into PI 1547633624.124 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.124 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633624.124 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633624.124 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.124 * [misc]backup-simplify: Simplify PI into PI 1547633624.124 * [misc]taylor: Taking taylor expansion of n in n 1547633624.124 * [misc]backup-simplify: Simplify 0 into 0 1547633624.124 * [misc]backup-simplify: Simplify 1 into 1 1547633624.125 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.125 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633624.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.126 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1547633624.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.126 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1547633624.126 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1547633624.126 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633624.126 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.126 * [misc]backup-simplify: Simplify 2 into 2 1547633624.126 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633624.127 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633624.127 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633624.127 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633624.127 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.127 * [misc]backup-simplify: Simplify 2 into 2 1547633624.127 * [misc]taylor: Taking taylor expansion of n in n 1547633624.127 * [misc]backup-simplify: Simplify 0 into 0 1547633624.127 * [misc]backup-simplify: Simplify 1 into 1 1547633624.127 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633624.127 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633624.127 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.127 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633624.127 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633624.128 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.128 * [misc]backup-simplify: Simplify PI into PI 1547633624.128 * [misc]taylor: Taking taylor expansion of n in n 1547633624.128 * [misc]backup-simplify: Simplify 0 into 0 1547633624.128 * [misc]backup-simplify: Simplify 1 into 1 1547633624.128 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.129 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633624.129 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.129 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.130 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1547633624.131 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1547633624.131 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.131 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.132 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1547633624.132 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1547633624.132 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1547633624.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.132 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.132 * [misc]backup-simplify: Simplify 0 into 0 1547633624.133 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1547633624.137 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633624.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633624.138 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1547633624.144 * [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))) 1547633624.144 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1547633624.146 * [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 1547633624.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1547633624.146 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1547633624.148 * [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))) 1547633624.151 * [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))))))) 1547633624.152 * [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 1547633624.152 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of 1/8 in n 1547633624.152 * [misc]backup-simplify: Simplify 1/8 into 1/8 1547633624.152 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.152 * [misc]backup-simplify: Simplify 2 into 2 1547633624.152 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633624.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633624.152 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.152 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.152 * [misc]backup-simplify: Simplify PI into PI 1547633624.153 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.153 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633624.153 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633624.153 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.153 * [misc]backup-simplify: Simplify PI into PI 1547633624.153 * [misc]taylor: Taking taylor expansion of n in n 1547633624.153 * [misc]backup-simplify: Simplify 0 into 0 1547633624.153 * [misc]backup-simplify: Simplify 1 into 1 1547633624.153 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.154 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633624.154 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.154 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.154 * [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 1547633624.154 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1547633624.154 * [misc]taylor: Taking taylor expansion of 1/8 in n 1547633624.154 * [misc]backup-simplify: Simplify 1/8 into 1/8 1547633624.154 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1547633624.154 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1547633624.155 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633624.155 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.155 * [misc]backup-simplify: Simplify 2 into 2 1547633624.155 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633624.155 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633624.155 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1547633624.155 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633624.155 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633624.155 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.155 * [misc]backup-simplify: Simplify 2 into 2 1547633624.155 * [misc]taylor: Taking taylor expansion of n in n 1547633624.155 * [misc]backup-simplify: Simplify 0 into 0 1547633624.155 * [misc]backup-simplify: Simplify 1 into 1 1547633624.155 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633624.156 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633624.156 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.156 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.156 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633624.156 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633624.156 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.156 * [misc]backup-simplify: Simplify PI into PI 1547633624.156 * [misc]taylor: Taking taylor expansion of n in n 1547633624.156 * [misc]backup-simplify: Simplify 0 into 0 1547633624.156 * [misc]backup-simplify: Simplify 1 into 1 1547633624.157 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.157 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633624.157 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.158 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.158 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1547633624.158 * [misc]taylor: Taking taylor expansion of 1/4 in n 1547633624.158 * [misc]backup-simplify: Simplify 1/4 into 1/4 1547633624.158 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1547633624.158 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1547633624.158 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1547633624.158 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.158 * [misc]backup-simplify: Simplify PI into PI 1547633624.158 * [misc]taylor: Taking taylor expansion of n in n 1547633624.158 * [misc]backup-simplify: Simplify 0 into 0 1547633624.158 * [misc]backup-simplify: Simplify 1 into 1 1547633624.159 * [misc]backup-simplify: Simplify (* PI 0) into 0 1547633624.159 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1547633624.159 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1547633624.160 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1547633624.160 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.160 * [misc]backup-simplify: Simplify 2 into 2 1547633624.160 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1547633624.160 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1547633624.160 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.160 * [misc]backup-simplify: Simplify 2 into 2 1547633624.160 * [misc]taylor: Taking taylor expansion of n in n 1547633624.160 * [misc]backup-simplify: Simplify 0 into 0 1547633624.160 * [misc]backup-simplify: Simplify 1 into 1 1547633624.160 * [misc]backup-simplify: Simplify (* 2 0) into 0 1547633624.160 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1547633624.160 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.160 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.160 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.160 * [misc]backup-simplify: Simplify PI into PI 1547633624.161 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.161 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1547633624.162 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1547633624.162 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1547633624.163 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1547633624.163 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.163 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.163 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1547633624.164 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1547633624.164 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1547633624.164 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1547633624.164 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.165 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1547633624.165 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1547633624.166 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1547633624.166 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1547633624.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.166 * [misc]backup-simplify: Simplify 0 into 0 1547633624.168 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.168 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1547633624.169 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633624.171 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1547633624.171 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1547633624.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633624.173 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1547633624.173 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1547633624.174 * [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)))))) 1547633624.175 * [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)))))) 1547633624.177 * [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)))))))) 1547633624.180 * [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)))))))) 1547633624.183 * [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)))))))) 1547633624.183 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1547633624.184 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1547633624.185 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1547633624.185 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1547633624.188 * [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))))))))))) 1547633624.189 * [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))))) 1547633624.189 * [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 1547633624.189 * [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 1547633624.189 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.189 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.189 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of k in n 1547633624.189 * [misc]backup-simplify: Simplify k into k 1547633624.189 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.189 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.189 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.189 * [misc]backup-simplify: Simplify PI into PI 1547633624.189 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.189 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.190 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.190 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.190 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.190 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.190 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of k in n 1547633624.190 * [misc]backup-simplify: Simplify k into k 1547633624.190 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.190 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.190 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.190 * [misc]backup-simplify: Simplify 2 into 2 1547633624.190 * [misc]taylor: Taking taylor expansion of n in n 1547633624.190 * [misc]backup-simplify: Simplify 0 into 0 1547633624.190 * [misc]backup-simplify: Simplify 1 into 1 1547633624.191 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.191 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.191 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.191 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.191 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.191 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.191 * [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))) 1547633624.191 * [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)))) 1547633624.192 * [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 1547633624.192 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.192 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of k in k 1547633624.192 * [misc]backup-simplify: Simplify 0 into 0 1547633624.192 * [misc]backup-simplify: Simplify 1 into 1 1547633624.192 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.192 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.192 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.192 * [misc]backup-simplify: Simplify PI into PI 1547633624.192 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.192 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.192 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.192 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.193 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633624.193 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.193 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.193 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of k in k 1547633624.193 * [misc]backup-simplify: Simplify 0 into 0 1547633624.193 * [misc]backup-simplify: Simplify 1 into 1 1547633624.193 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.193 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633624.193 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.193 * [misc]backup-simplify: Simplify 2 into 2 1547633624.193 * [misc]taylor: Taking taylor expansion of n in k 1547633624.193 * [misc]backup-simplify: Simplify n into n 1547633624.193 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633624.193 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633624.194 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.194 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.194 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633624.194 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.194 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of k in k 1547633624.194 * [misc]backup-simplify: Simplify 0 into 0 1547633624.194 * [misc]backup-simplify: Simplify 1 into 1 1547633624.194 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.194 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.194 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.194 * [misc]backup-simplify: Simplify PI into PI 1547633624.194 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.195 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.195 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.195 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.195 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1547633624.195 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.195 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1547633624.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1547633624.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1547633624.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1547633624.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.196 * [misc]taylor: Taking taylor expansion of k in k 1547633624.196 * [misc]backup-simplify: Simplify 0 into 0 1547633624.196 * [misc]backup-simplify: Simplify 1 into 1 1547633624.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.196 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1547633624.196 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1547633624.196 * [misc]taylor: Taking taylor expansion of 2 in k 1547633624.196 * [misc]backup-simplify: Simplify 2 into 2 1547633624.196 * [misc]taylor: Taking taylor expansion of n in k 1547633624.196 * [misc]backup-simplify: Simplify n into n 1547633624.196 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1547633624.196 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1547633624.196 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.196 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1547633624.196 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1547633624.196 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1547633624.196 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.197 * [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))))) 1547633624.197 * [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 1547633624.197 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of k in n 1547633624.197 * [misc]backup-simplify: Simplify k into k 1547633624.197 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.197 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.197 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.197 * [misc]backup-simplify: Simplify PI into PI 1547633624.197 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.197 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.197 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.198 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1547633624.198 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1547633624.198 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.198 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of k in n 1547633624.198 * [misc]backup-simplify: Simplify k into k 1547633624.198 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.198 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1547633624.198 * [misc]taylor: Taking taylor expansion of 2 in n 1547633624.198 * [misc]backup-simplify: Simplify 2 into 2 1547633624.198 * [misc]taylor: Taking taylor expansion of n in n 1547633624.198 * [misc]backup-simplify: Simplify 0 into 0 1547633624.198 * [misc]backup-simplify: Simplify 1 into 1 1547633624.198 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1547633624.198 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1547633624.198 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.198 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1547633624.199 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1547633624.199 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.199 * [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))) 1547633624.199 * [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)))) 1547633624.199 * [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))))) 1547633624.200 * [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))))) 1547633624.200 * [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 1547633624.200 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.200 * [misc]backup-simplify: Simplify 0 into 0 1547633624.200 * [misc]backup-simplify: Simplify 0 into 0 1547633624.200 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1547633624.201 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1547633624.202 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.202 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.203 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1547633624.204 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.205 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.206 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.206 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1547633624.207 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.207 * [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 1547633624.207 * [misc]backup-simplify: Simplify 0 into 0 1547633624.208 * [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 1547633624.208 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.208 * [misc]backup-simplify: Simplify 0 into 0 1547633624.208 * [misc]backup-simplify: Simplify 0 into 0 1547633624.208 * [misc]backup-simplify: Simplify 0 into 0 1547633624.208 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633624.211 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1547633624.211 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633624.211 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633624.211 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.211 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1547633624.212 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1547633624.213 * [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 1547633624.216 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633624.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633624.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633624.217 * [misc]backup-simplify: Simplify (- 0) into 0 1547633624.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.218 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1547633624.220 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547633624.221 * [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 1547633624.221 * [misc]backup-simplify: Simplify 0 into 0 1547633624.222 * [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 1547633624.222 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.222 * [misc]backup-simplify: Simplify 0 into 0 1547633624.222 * [misc]backup-simplify: Simplify 0 into 0 1547633624.222 * [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)))) 1547633624.223 * [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))) 1547633624.223 * [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 1547633624.223 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.223 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of k in n 1547633624.223 * [misc]backup-simplify: Simplify k into k 1547633624.223 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.223 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.223 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.223 * [misc]backup-simplify: Simplify -2 into -2 1547633624.223 * [misc]taylor: Taking taylor expansion of n in n 1547633624.224 * [misc]backup-simplify: Simplify 0 into 0 1547633624.224 * [misc]backup-simplify: Simplify 1 into 1 1547633624.224 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.224 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.224 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.224 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.224 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.225 * [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))) 1547633624.225 * [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)))) 1547633624.225 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.225 * [misc]taylor: Taking taylor expansion of k in n 1547633624.225 * [misc]backup-simplify: Simplify k into k 1547633624.225 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.226 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.226 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.226 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.226 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.226 * [misc]backup-simplify: Simplify PI into PI 1547633624.226 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.226 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.226 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.227 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.227 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.227 * [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 1547633624.227 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.227 * [misc]taylor: Taking taylor expansion of k in k 1547633624.227 * [misc]backup-simplify: Simplify 0 into 0 1547633624.227 * [misc]backup-simplify: Simplify 1 into 1 1547633624.228 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.228 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633624.228 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633624.228 * [misc]taylor: Taking taylor expansion of -2 in k 1547633624.228 * [misc]backup-simplify: Simplify -2 into -2 1547633624.228 * [misc]taylor: Taking taylor expansion of n in k 1547633624.228 * [misc]backup-simplify: Simplify n into n 1547633624.228 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633624.228 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633624.228 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.228 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.228 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633624.229 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.229 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.229 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of k in k 1547633624.229 * [misc]backup-simplify: Simplify 0 into 0 1547633624.229 * [misc]backup-simplify: Simplify 1 into 1 1547633624.229 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.229 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.229 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.229 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.229 * [misc]backup-simplify: Simplify PI into PI 1547633624.230 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.230 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.230 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.230 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.231 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.231 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of k in k 1547633624.231 * [misc]backup-simplify: Simplify 0 into 0 1547633624.231 * [misc]backup-simplify: Simplify 1 into 1 1547633624.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.231 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1547633624.231 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1547633624.232 * [misc]taylor: Taking taylor expansion of -2 in k 1547633624.232 * [misc]backup-simplify: Simplify -2 into -2 1547633624.232 * [misc]taylor: Taking taylor expansion of n in k 1547633624.232 * [misc]backup-simplify: Simplify n into n 1547633624.232 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1547633624.232 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1547633624.232 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.232 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.232 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1547633624.232 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.232 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of k in k 1547633624.233 * [misc]backup-simplify: Simplify 0 into 0 1547633624.233 * [misc]backup-simplify: Simplify 1 into 1 1547633624.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1547633624.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1547633624.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.233 * [misc]taylor: Taking taylor expansion of (log PI) in k 1547633624.233 * [misc]taylor: Taking taylor expansion of PI in k 1547633624.233 * [misc]backup-simplify: Simplify PI into PI 1547633624.233 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1547633624.234 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1547633624.234 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1547633624.235 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.235 * [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))) 1547633624.235 * [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 1547633624.235 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of k in n 1547633624.235 * [misc]backup-simplify: Simplify k into k 1547633624.235 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.235 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1547633624.235 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1547633624.236 * [misc]taylor: Taking taylor expansion of -2 in n 1547633624.236 * [misc]backup-simplify: Simplify -2 into -2 1547633624.236 * [misc]taylor: Taking taylor expansion of n in n 1547633624.236 * [misc]backup-simplify: Simplify 0 into 0 1547633624.236 * [misc]backup-simplify: Simplify 1 into 1 1547633624.236 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1547633624.236 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1547633624.236 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.236 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.237 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.237 * [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))) 1547633624.237 * [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)))) 1547633624.237 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1547633624.237 * [misc]taylor: Taking taylor expansion of k in n 1547633624.238 * [misc]backup-simplify: Simplify k into k 1547633624.238 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1547633624.238 * [misc]taylor: Taking taylor expansion of 1/2 in n 1547633624.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1547633624.238 * [misc]taylor: Taking taylor expansion of (log PI) in n 1547633624.238 * [misc]taylor: Taking taylor expansion of PI in n 1547633624.238 * [misc]backup-simplify: Simplify PI into PI 1547633624.238 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1547633624.238 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1547633624.238 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1547633624.239 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1547633624.239 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1547633624.239 * [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))) 1547633624.240 * [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))) 1547633624.240 * [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 1547633624.240 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.240 * [misc]backup-simplify: Simplify 0 into 0 1547633624.240 * [misc]backup-simplify: Simplify 0 into 0 1547633624.243 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1547633624.243 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.244 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1547633624.245 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1547633624.248 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1547633624.248 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1547633624.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1547633624.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.250 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1547633624.251 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1547633624.251 * [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 1547633624.251 * [misc]backup-simplify: Simplify 0 into 0 1547633624.252 * [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 1547633624.252 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.252 * [misc]backup-simplify: Simplify 0 into 0 1547633624.252 * [misc]backup-simplify: Simplify 0 into 0 1547633624.252 * [misc]backup-simplify: Simplify 0 into 0 1547633624.254 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1547633624.254 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633624.255 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633624.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.255 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1547633624.257 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1547633624.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1547633624.259 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1547633624.260 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1547633624.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1547633624.260 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1547633624.260 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1547633624.260 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1547633624.262 * [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 1547633624.262 * [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 1547633624.262 * [misc]backup-simplify: Simplify 0 into 0 1547633624.262 * [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 1547633624.262 * [misc]taylor: Taking taylor expansion of 0 in n 1547633624.263 * [misc]backup-simplify: Simplify 0 into 0 1547633624.263 * [misc]backup-simplify: Simplify 0 into 0 1547633624.263 * [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)))) 1547633624.263 * * * [misc]progress: simplifying candidates 1547633624.263 * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # 1547633624.263 * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # 1547633624.263 * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # 1547633624.263 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1547633624.263 * * [misc]simplify: iters left: 6 (9 enodes) 1547633624.265 * * [misc]simplify: iters left: 5 (16 enodes) 1547633624.268 * * [misc]simplify: iters left: 4 (32 enodes) 1547633624.275 * * [misc]simplify: iters left: 3 (72 enodes) 1547633624.303 * * [misc]simplify: iters left: 2 (195 enodes) 1547633624.363 * * [misc]simplify: iters left: 1 (418 enodes) 1547633624.536 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1547633624.536 * [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))) 1547633624.537 * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # 1547633624.537 * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # 1547633624.537 * [enter]simplify: Simplifying (* n 2) 1547633624.537 * * [misc]simplify: iters left: 2 (3 enodes) 1547633624.538 * * [misc]simplify: iters left: 1 (4 enodes) 1547633624.539 * [exit]simplify: Simplified to (* n 2) 1547633624.539 * [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))) 1547633624.539 * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # 1547633624.539 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547633624.540 * * [misc]simplify: iters left: 3 (6 enodes) 1547633624.541 * * [misc]simplify: iters left: 2 (7 enodes) 1547633624.543 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547633624.543 * [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))) 1547633624.543 * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # 1547633624.544 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633624.544 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.546 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.548 * * [misc]simplify: iters left: 3 (11 enodes) 1547633624.551 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633624.551 * [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))) 1547633624.551 * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # 1547633624.551 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633624.552 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.553 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.556 * * [misc]simplify: iters left: 3 (11 enodes) 1547633624.559 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633624.559 * [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))) 1547633624.559 * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # 1547633624.559 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633624.559 * * [misc]simplify: iters left: 4 (5 enodes) 1547633624.561 * * [misc]simplify: iters left: 3 (7 enodes) 1547633624.563 * * [misc]simplify: iters left: 2 (10 enodes) 1547633624.565 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633624.566 * [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))) 1547633624.566 * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # 1547633624.566 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633624.566 * * [misc]simplify: iters left: 5 (7 enodes) 1547633624.568 * * [misc]simplify: iters left: 4 (10 enodes) 1547633624.571 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633624.571 * [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))) 1547633624.572 * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # 1547633624.572 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633624.572 * * [misc]simplify: iters left: 5 (7 enodes) 1547633624.574 * * [misc]simplify: iters left: 4 (10 enodes) 1547633624.577 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633624.577 * [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))) 1547633624.577 * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # 1547633624.578 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1547633624.578 * * [misc]simplify: iters left: 5 (7 enodes) 1547633624.583 * * [misc]simplify: iters left: 4 (9 enodes) 1547633624.585 * * [misc]simplify: iters left: 3 (12 enodes) 1547633624.589 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1547633624.589 * [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))) 1547633624.589 * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # 1547633624.589 * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # 1547633624.590 * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # 1547633624.590 * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # 1547633624.590 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1547633624.590 * * [misc]simplify: iters left: 3 (5 enodes) 1547633624.591 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1547633624.592 * [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))) 1547633624.592 * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # 1547633624.592 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1547633624.592 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.594 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.596 * * [misc]simplify: iters left: 3 (11 enodes) 1547633624.599 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1547633624.599 * [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))) 1547633624.599 * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # 1547633624.599 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1547633624.599 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.601 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.604 * * [misc]simplify: iters left: 3 (11 enodes) 1547633624.607 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1547633624.607 * [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))) 1547633624.607 * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # 1547633624.607 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633624.607 * * [misc]simplify: iters left: 4 (5 enodes) 1547633624.609 * * [misc]simplify: iters left: 3 (7 enodes) 1547633624.611 * * [misc]simplify: iters left: 2 (10 enodes) 1547633624.613 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633624.613 * [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))) 1547633624.614 * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # 1547633624.614 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547633624.614 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.616 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.618 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547633624.618 * [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))) 1547633624.618 * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # 1547633624.618 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1547633624.619 * * [misc]simplify: iters left: 5 (6 enodes) 1547633624.620 * * [misc]simplify: iters left: 4 (8 enodes) 1547633624.623 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1547633624.623 * [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))) 1547633624.623 * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # 1547633624.623 * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # 1547633624.624 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547633624.624 * * [misc]simplify: iters left: 6 (16 enodes) 1547633624.630 * * [misc]simplify: iters left: 5 (32 enodes) 1547633624.642 * * [misc]simplify: iters left: 4 (75 enodes) 1547633624.675 * * [misc]simplify: iters left: 3 (223 enodes) 1547633624.790 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1547633624.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1547633624.790 * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # 1547633624.790 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547633624.790 * * [misc]simplify: iters left: 6 (16 enodes) 1547633624.796 * * [misc]simplify: iters left: 5 (32 enodes) 1547633624.809 * * [misc]simplify: iters left: 4 (75 enodes) 1547633624.845 * * [misc]simplify: iters left: 3 (223 enodes) 1547633624.959 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1547633624.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1547633624.960 * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # 1547633624.960 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547633624.960 * * [misc]simplify: iters left: 6 (16 enodes) 1547633624.966 * * [misc]simplify: iters left: 5 (28 enodes) 1547633624.975 * * [misc]simplify: iters left: 4 (59 enodes) 1547633625.003 * * [misc]simplify: iters left: 3 (137 enodes) 1547633625.081 * * [misc]simplify: iters left: 2 (450 enodes) 1547633625.552 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1547633625.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1547633625.552 * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # 1547633625.553 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547633625.553 * * [misc]simplify: iters left: 6 (16 enodes) 1547633625.559 * * [misc]simplify: iters left: 5 (30 enodes) 1547633625.569 * * [misc]simplify: iters left: 4 (65 enodes) 1547633625.599 * * [misc]simplify: iters left: 3 (179 enodes) 1547633625.726 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1547633625.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1547633625.727 * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # 1547633625.727 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1547633625.727 * * [misc]simplify: iters left: 6 (16 enodes) 1547633625.730 * * [misc]simplify: iters left: 5 (30 enodes) 1547633625.736 * * [misc]simplify: iters left: 4 (65 enodes) 1547633625.754 * * [misc]simplify: iters left: 3 (179 enodes) 1547633625.856 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1547633625.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1547633625.857 * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # 1547633625.857 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547633625.857 * * [misc]simplify: iters left: 6 (16 enodes) 1547633625.863 * * [misc]simplify: iters left: 5 (28 enodes) 1547633625.872 * * [misc]simplify: iters left: 4 (53 enodes) 1547633625.892 * * [misc]simplify: iters left: 3 (105 enodes) 1547633625.931 * * [misc]simplify: iters left: 2 (363 enodes) 1547633626.206 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1547633626.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1547633626.206 * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # 1547633626.206 * [enter]simplify: Simplifying (- (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1547633626.206 * * [misc]simplify: iters left: 6 (15 enodes) 1547633626.211 * * [misc]simplify: iters left: 5 (24 enodes) 1547633626.218 * * [misc]simplify: iters left: 4 (37 enodes) 1547633626.230 * * [misc]simplify: iters left: 3 (60 enodes) 1547633626.250 * * [misc]simplify: iters left: 2 (109 enodes) 1547633626.301 * * [misc]simplify: iters left: 1 (384 enodes) 1547633626.667 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1547633626.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1547633626.667 * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # 1547633626.667 * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # 1547633626.667 * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # 1547633626.668 * [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))) 1547633626.668 * * [misc]simplify: iters left: 6 (19 enodes) 1547633626.671 * * [misc]simplify: iters left: 5 (37 enodes) 1547633626.679 * * [misc]simplify: iters left: 4 (124 enodes) 1547633626.713 * * [misc]simplify: iters left: 3 (414 enodes) 1547633626.986 * [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)))))) 1547633626.988 * [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)))))))) 1547633626.988 * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # 1547633626.988 * [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))) 1547633626.988 * * [misc]simplify: iters left: 6 (17 enodes) 1547633626.994 * * [misc]simplify: iters left: 5 (36 enodes) 1547633627.007 * * [misc]simplify: iters left: 4 (104 enodes) 1547633627.055 * * [misc]simplify: iters left: 3 (355 enodes) 1547633627.403 * [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)))))) 1547633627.403 * [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)))))))) 1547633627.403 * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # 1547633627.404 * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # 1547633627.404 * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # 1547633627.404 * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # 1547633627.404 * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # 1547633627.404 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633627.404 * * [misc]simplify: iters left: 6 (11 enodes) 1547633627.406 * * [misc]simplify: iters left: 5 (15 enodes) 1547633627.408 * * [misc]simplify: iters left: 4 (18 enodes) 1547633627.411 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1547633627.411 * [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))))) 1547633627.411 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633627.411 * * [misc]simplify: iters left: 6 (11 enodes) 1547633627.413 * * [misc]simplify: iters left: 5 (14 enodes) 1547633627.415 * * [misc]simplify: iters left: 4 (17 enodes) 1547633627.418 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1547633627.418 * [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))))) 1547633627.418 * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # 1547633627.418 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633627.418 * * [misc]simplify: iters left: 6 (10 enodes) 1547633627.420 * * [misc]simplify: iters left: 5 (12 enodes) 1547633627.421 * * [misc]simplify: iters left: 4 (15 enodes) 1547633627.424 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633627.424 * [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))))) 1547633627.424 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633627.424 * * [misc]simplify: iters left: 6 (11 enodes) 1547633627.426 * * [misc]simplify: iters left: 5 (14 enodes) 1547633627.428 * * [misc]simplify: iters left: 4 (17 enodes) 1547633627.430 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1547633627.430 * [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))))) 1547633627.430 * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # 1547633627.430 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1547633627.430 * * [misc]simplify: iters left: 6 (9 enodes) 1547633627.432 * * [misc]simplify: iters left: 5 (13 enodes) 1547633627.436 * * [misc]simplify: iters left: 4 (18 enodes) 1547633627.439 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633627.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547633627.440 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547633627.440 * * [misc]simplify: iters left: 6 (10 enodes) 1547633627.442 * * [misc]simplify: iters left: 5 (13 enodes) 1547633627.446 * * [misc]simplify: iters left: 4 (16 enodes) 1547633627.450 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1547633627.450 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1547633627.450 * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # 1547633627.450 * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # 1547633627.450 * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # 1547633627.450 * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # 1547633627.450 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1547633627.450 * * [misc]simplify: iters left: 2 (3 enodes) 1547633627.451 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1547633627.451 * [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)))) 1547633627.451 * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # 1547633627.451 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1547633627.451 * * [misc]simplify: iters left: 2 (3 enodes) 1547633627.452 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1547633627.452 * [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)))) 1547633627.452 * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # 1547633627.452 * [enter]simplify: Simplifying (sqrt k) 1547633627.452 * * [misc]simplify: iters left: 1 (2 enodes) 1547633627.453 * [exit]simplify: Simplified to (sqrt k) 1547633627.453 * [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))) 1547633627.453 * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # 1547633627.453 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1547633627.453 * * [misc]simplify: iters left: 5 (7 enodes) 1547633627.455 * * [misc]simplify: iters left: 4 (9 enodes) 1547633627.457 * * [misc]simplify: iters left: 3 (12 enodes) 1547633627.460 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1547633627.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1547633627.461 * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # 1547633627.461 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1547633627.461 * * [misc]simplify: iters left: 5 (8 enodes) 1547633627.463 * * [misc]simplify: iters left: 4 (12 enodes) 1547633627.466 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1547633627.466 * [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)))))) 1547633627.466 * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # 1547633627.466 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) 1547633627.466 * * [misc]simplify: iters left: 6 (11 enodes) 1547633627.469 * * [misc]simplify: iters left: 5 (16 enodes) 1547633627.473 * * [misc]simplify: iters left: 4 (19 enodes) 1547633627.478 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1547633627.478 * [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))))) 1547633627.478 * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # 1547633627.478 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633627.478 * * [misc]simplify: iters left: 6 (11 enodes) 1547633627.481 * * [misc]simplify: iters left: 5 (16 enodes) 1547633627.485 * * [misc]simplify: iters left: 4 (19 enodes) 1547633627.490 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633627.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2))))) 1547633627.490 * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # 1547633627.490 * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # 1547633627.490 * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # 1547633627.491 * [enter]simplify: Simplifying (* PI (* n 2)) 1547633627.491 * * [misc]simplify: iters left: 4 (5 enodes) 1547633627.492 * * [misc]simplify: iters left: 3 (9 enodes) 1547633627.495 * * [misc]simplify: iters left: 2 (15 enodes) 1547633627.498 * * [misc]simplify: iters left: 1 (17 enodes) 1547633627.503 * [exit]simplify: Simplified to (* (* 2 n) PI) 1547633627.503 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1547633627.504 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1547633627.504 * * [misc]simplify: iters left: 4 (5 enodes) 1547633627.505 * * [misc]simplify: iters left: 3 (7 enodes) 1547633627.507 * * [misc]simplify: iters left: 2 (10 enodes) 1547633627.510 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1547633627.510 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1547633627.510 * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # 1547633627.510 * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # 1547633627.510 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633627.510 * * [misc]simplify: iters left: 6 (13 enodes) 1547633627.515 * * [misc]simplify: iters left: 5 (25 enodes) 1547633627.520 * * [misc]simplify: iters left: 4 (55 enodes) 1547633627.532 * * [misc]simplify: iters left: 3 (149 enodes) 1547633627.601 * * [misc]simplify: iters left: 2 (484 enodes) 1547633627.874 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1547633627.874 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1547633627.874 * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # 1547633627.874 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633627.874 * * [misc]simplify: iters left: 6 (13 enodes) 1547633627.877 * * [misc]simplify: iters left: 5 (25 enodes) 1547633627.881 * * [misc]simplify: iters left: 4 (55 enodes) 1547633627.896 * * [misc]simplify: iters left: 3 (149 enodes) 1547633627.953 * * [misc]simplify: iters left: 2 (484 enodes) 1547633628.241 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1547633628.241 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1547633628.241 * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # 1547633628.242 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547633628.242 * * [misc]simplify: iters left: 6 (13 enodes) 1547633628.244 * * [misc]simplify: iters left: 5 (21 enodes) 1547633628.248 * * [misc]simplify: iters left: 4 (41 enodes) 1547633628.255 * * [misc]simplify: iters left: 3 (87 enodes) 1547633628.290 * * [misc]simplify: iters left: 2 (257 enodes) 1547633628.511 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1547633628.511 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1547633628.511 * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # 1547633628.511 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633628.511 * * [misc]simplify: iters left: 6 (13 enodes) 1547633628.516 * * [misc]simplify: iters left: 5 (23 enodes) 1547633628.524 * * [misc]simplify: iters left: 4 (47 enodes) 1547633628.543 * * [misc]simplify: iters left: 3 (121 enodes) 1547633628.610 * * [misc]simplify: iters left: 2 (416 enodes) 1547633628.881 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1547633628.881 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1547633628.881 * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # 1547633628.881 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1547633628.882 * * [misc]simplify: iters left: 6 (13 enodes) 1547633628.887 * * [misc]simplify: iters left: 5 (23 enodes) 1547633628.891 * * [misc]simplify: iters left: 4 (47 enodes) 1547633628.901 * * [misc]simplify: iters left: 3 (121 enodes) 1547633628.952 * * [misc]simplify: iters left: 2 (416 enodes) 1547633629.200 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1547633629.200 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1547633629.200 * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # 1547633629.200 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1547633629.201 * * [misc]simplify: iters left: 6 (13 enodes) 1547633629.205 * * [misc]simplify: iters left: 5 (21 enodes) 1547633629.212 * * [misc]simplify: iters left: 4 (36 enodes) 1547633629.224 * * [misc]simplify: iters left: 3 (71 enodes) 1547633629.262 * * [misc]simplify: iters left: 2 (195 enodes) 1547633629.410 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1547633629.411 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k))) 1547633629.411 * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # 1547633629.411 * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # 1547633629.411 * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # 1547633629.411 * [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))))) 1547633629.411 * * [misc]simplify: iters left: 6 (15 enodes) 1547633629.416 * * [misc]simplify: iters left: 5 (25 enodes) 1547633629.425 * * [misc]simplify: iters left: 4 (53 enodes) 1547633629.444 * * [misc]simplify: iters left: 3 (88 enodes) 1547633629.474 * * [misc]simplify: iters left: 2 (122 enodes) 1547633629.494 * * [misc]simplify: iters left: 1 (129 enodes) 1547633629.508 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1547633629.508 * [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))) 1547633629.508 * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # 1547633629.508 * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # 1547633629.509 * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # 1547633629.509 * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # 1547633629.509 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1547633629.509 * * [misc]simplify: iters left: 5 (8 enodes) 1547633629.512 * * [misc]simplify: iters left: 4 (12 enodes) 1547633629.515 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1547633629.515 * [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))) 1547633629.515 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1547633629.515 * * [misc]simplify: iters left: 5 (9 enodes) 1547633629.518 * * [misc]simplify: iters left: 4 (11 enodes) 1547633629.521 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1547633629.521 * [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))) 1547633629.521 * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # 1547633629.521 * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # 1547633629.521 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633629.522 * * [misc]simplify: iters left: 5 (7 enodes) 1547633629.524 * * [misc]simplify: iters left: 4 (10 enodes) 1547633629.526 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633629.527 * [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))) 1547633629.527 * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # 1547633629.527 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1547633629.527 * * [misc]simplify: iters left: 5 (7 enodes) 1547633629.529 * * [misc]simplify: iters left: 4 (10 enodes) 1547633629.532 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1547633629.533 * [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))) 1547633629.533 * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # 1547633629.533 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1547633629.533 * * [misc]simplify: iters left: 5 (6 enodes) 1547633629.535 * * [misc]simplify: iters left: 4 (8 enodes) 1547633629.537 * * [misc]simplify: iters left: 3 (11 enodes) 1547633629.540 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1547633629.541 * [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))) 1547633629.541 * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # 1547633629.541 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.541 * * [misc]simplify: iters left: 6 (9 enodes) 1547633629.544 * * [misc]simplify: iters left: 5 (12 enodes) 1547633629.547 * * [misc]simplify: iters left: 4 (15 enodes) 1547633629.552 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.552 * [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))) 1547633629.552 * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # 1547633629.552 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.552 * * [misc]simplify: iters left: 6 (9 enodes) 1547633629.555 * * [misc]simplify: iters left: 5 (12 enodes) 1547633629.559 * * [misc]simplify: iters left: 4 (15 enodes) 1547633629.563 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.563 * [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))) 1547633629.563 * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # 1547633629.564 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1547633629.564 * * [misc]simplify: iters left: 5 (8 enodes) 1547633629.566 * * [misc]simplify: iters left: 4 (11 enodes) 1547633629.569 * * [misc]simplify: iters left: 3 (14 enodes) 1547633629.573 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1547633629.573 * [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))) 1547633629.573 * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # 1547633629.574 * [enter]simplify: Simplifying (pow PI 1/2) 1547633629.574 * * [misc]simplify: iters left: 1 (3 enodes) 1547633629.575 * [exit]simplify: Simplified to (sqrt PI) 1547633629.575 * [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))) 1547633629.575 * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # 1547633629.575 * [enter]simplify: Simplifying (pow PI 1/2) 1547633629.575 * * [misc]simplify: iters left: 1 (3 enodes) 1547633629.576 * [exit]simplify: Simplified to (sqrt PI) 1547633629.576 * [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))) 1547633629.576 * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # 1547633629.576 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633629.577 * * [misc]simplify: iters left: 6 (9 enodes) 1547633629.579 * * [misc]simplify: iters left: 5 (11 enodes) 1547633629.583 * * [misc]simplify: iters left: 4 (14 enodes) 1547633629.587 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1547633629.587 * [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))) 1547633629.587 * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # 1547633629.588 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1547633629.588 * * [misc]simplify: iters left: 6 (8 enodes) 1547633629.590 * * [misc]simplify: iters left: 5 (10 enodes) 1547633629.593 * * [misc]simplify: iters left: 4 (13 enodes) 1547633629.597 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1547633629.597 * [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))) 1547633629.597 * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # 1547633629.597 * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # 1547633629.597 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1547633629.597 * * [misc]simplify: iters left: 3 (6 enodes) 1547633629.599 * * [misc]simplify: iters left: 2 (7 enodes) 1547633629.601 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1547633629.601 * [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))) 1547633629.601 * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # 1547633629.601 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.601 * * [misc]simplify: iters left: 6 (11 enodes) 1547633629.604 * * [misc]simplify: iters left: 5 (16 enodes) 1547633629.610 * * [misc]simplify: iters left: 4 (19 enodes) 1547633629.616 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1547633629.616 * [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))) 1547633629.616 * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # 1547633629.616 * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # 1547633629.616 * [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))))) 1547633629.617 * * [misc]simplify: iters left: 6 (35 enodes) 1547633629.632 * * [misc]simplify: iters left: 5 (102 enodes) 1547633629.674 * * [misc]simplify: iters left: 4 (321 enodes) 1547633629.895 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1547633629.895 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))) (sqrt k))) 1547633629.895 * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # 1547633629.895 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1547633629.895 * * [misc]simplify: iters left: 6 (13 enodes) 1547633629.898 * * [misc]simplify: iters left: 5 (27 enodes) 1547633629.902 * * [misc]simplify: iters left: 4 (53 enodes) 1547633629.912 * * [misc]simplify: iters left: 3 (124 enodes) 1547633629.977 * * [misc]simplify: iters left: 2 (394 enodes) 1547633630.470 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1547633630.470 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (fma -1/2 k 1/2))) (sqrt k))) 1547633630.470 * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # 1547633630.471 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1547633630.471 * * [misc]simplify: iters left: 6 (13 enodes) 1547633630.476 * * [misc]simplify: iters left: 5 (24 enodes) 1547633630.485 * * [misc]simplify: iters left: 4 (54 enodes) 1547633630.497 * * [misc]simplify: iters left: 3 (151 enodes) 1547633630.577 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1547633630.577 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))) (sqrt k))) 1547633630.577 * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # 1547633630.577 * [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)))) 1547633630.577 * * [misc]simplify: iters left: 6 (18 enodes) 1547633630.584 * * [misc]simplify: iters left: 5 (39 enodes) 1547633630.600 * * [misc]simplify: iters left: 4 (110 enodes) 1547633630.630 * * [misc]simplify: iters left: 3 (321 enodes) 1547633630.793 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1547633630.794 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547633630.794 * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # 1547633630.794 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547633630.794 * * [misc]simplify: iters left: 5 (6 enodes) 1547633630.796 * * [misc]simplify: iters left: 4 (9 enodes) 1547633630.800 * * [misc]simplify: iters left: 3 (17 enodes) 1547633630.804 * * [misc]simplify: iters left: 2 (24 enodes) 1547633630.809 * * [misc]simplify: iters left: 1 (28 enodes) 1547633630.818 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1547633630.818 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547633630.818 * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # 1547633630.818 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1547633630.818 * * [misc]simplify: iters left: 5 (6 enodes) 1547633630.819 * * [misc]simplify: iters left: 4 (9 enodes) 1547633630.821 * * [misc]simplify: iters left: 3 (17 enodes) 1547633630.823 * * [misc]simplify: iters left: 2 (24 enodes) 1547633630.826 * * [misc]simplify: iters left: 1 (28 enodes) 1547633630.832 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1547633630.832 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1547633630.832 * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # 1547633630.832 * [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))))))))))))))) 1547633630.832 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633630.832 * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # 1547633630.833 * [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)))))))) 1547633630.833 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633630.833 * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # 1547633630.833 * [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)))))))) 1547633630.833 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1547633630.833 * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # 1547633630.833 * [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))))))))))) 1547633630.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1547633630.833 * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # 1547633630.833 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1547633630.833 * * [misc]simplify: iters left: 6 (16 enodes) 1547633630.838 * * [misc]simplify: iters left: 5 (31 enodes) 1547633630.848 * * [misc]simplify: iters left: 4 (57 enodes) 1547633630.862 * * [misc]simplify: iters left: 3 (128 enodes) 1547633630.895 * * [misc]simplify: iters left: 2 (406 enodes) 1547633631.459 * [exit]simplify: Simplified to (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1547633631.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1547633631.459 * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # 1547633631.459 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1547633631.459 * * [misc]simplify: iters left: 6 (16 enodes) 1547633631.462 * * [misc]simplify: iters left: 5 (28 enodes) 1547633631.469 * * [misc]simplify: iters left: 4 (58 enodes) 1547633631.481 * * [misc]simplify: iters left: 3 (155 enodes) 1547633631.577 * [exit]simplify: Simplified to (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) 1547633631.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1547633631.577 * * * [misc]progress: adding candidates to table 1547633632.816 * [misc]progress: [Phase 3 of 3] Extracting. 1547633632.816 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1547633632.817 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1547633632.817 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1547633632.890 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1547633632.937 * * * [misc]regime: Found split indices: #