1545992904.637 * [misc]progress: [Phase 1 of 3] Setting up. 1545992904.637 * * * [misc]progress: [1/2] Preparing points 1545992904.637 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545992904.713 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.713 * * * * [misc]points: Sampling 194 additional inputs, on iter 1 have 62 / 256 1545992904.786 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.786 * * * * [misc]points: Sampling 160 additional inputs, on iter 2 have 96 / 256 1545992904.838 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.839 * * * * [misc]points: Sampling 121 additional inputs, on iter 3 have 135 / 256 1545992904.896 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.896 * * * * [misc]points: Sampling 85 additional inputs, on iter 4 have 171 / 256 1545992904.913 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.913 * * * * [misc]points: Sampling 65 additional inputs, on iter 5 have 191 / 256 1545992904.927 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.927 * * * * [misc]points: Sampling 46 additional inputs, on iter 6 have 210 / 256 1545992904.937 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.937 * * * * [misc]points: Sampling 40 additional inputs, on iter 7 have 216 / 256 1545992904.949 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.949 * * * * [misc]points: Sampling 36 additional inputs, on iter 8 have 220 / 256 1545992904.964 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.964 * * * * [misc]points: Sampling 24 additional inputs, on iter 9 have 232 / 256 1545992904.975 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.975 * * * * [misc]points: Sampling 17 additional inputs, on iter 10 have 239 / 256 1545992904.985 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.985 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1545992904.992 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.992 * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 1545992904.999 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992904.999 * * * * [misc]points: Sampling 6 additional inputs, on iter 13 have 250 / 256 1545992905.004 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992905.005 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1545992905.009 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992905.010 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1545992905.053 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992905.053 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1545992905.058 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992905.062 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1545992905.067 * * * * [misc]points: Filtering points with unrepresentable outputs 1545992905.067 * * * * [exit]points: Sampled 257 points with exact outputs 1545992905.068 * * * [misc]progress: [2/2] Setting up program. 1545992905.075 * [misc]progress: [Phase 2 of 3] Improving. 1545992905.075 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545992905.075 * * [misc]simplify: iters left: 6 (13 enodes) 1545992905.081 * * [misc]simplify: iters left: 5 (28 enodes) 1545992905.088 * * [misc]simplify: iters left: 4 (44 enodes) 1545992905.094 * * [misc]simplify: iters left: 3 (54 enodes) 1545992905.100 * * [misc]simplify: iters left: 2 (57 enodes) 1545992905.106 * * [misc]simplify: iters left: 1 (65 enodes) 1545992905.116 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545992905.132 * * [misc]progress: iteration 1 / 4 1545992905.132 * * * [misc]progress: picking best candidate 1545992905.145 * * * * [misc]pick: Picked # 1545992905.145 * * * [misc]progress: localizing error 1545992905.196 * * * [misc]progress: generating rewritten candidates 1545992905.196 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545992905.199 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545992905.201 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545992905.210 * * * [misc]progress: generating series expansions 1545992905.210 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545992905.210 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545992905.210 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545992905.210 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.210 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.210 * [misc]taylor: Taking taylor expansion of k in k 1545992905.210 * [misc]backup-simplify: Simplify 0 into 0 1545992905.210 * [misc]backup-simplify: Simplify 1 into 1 1545992905.210 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.210 * [misc]backup-simplify: Simplify 2 into 2 1545992905.210 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545992905.210 * [misc]taylor: Taking taylor expansion of n in k 1545992905.211 * [misc]backup-simplify: Simplify n into n 1545992905.211 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.211 * [misc]backup-simplify: Simplify PI into PI 1545992905.211 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545992905.211 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545992905.211 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545992905.211 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992905.211 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.211 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.211 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545992905.211 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545992905.211 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.212 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.212 * [misc]taylor: Taking taylor expansion of k in n 1545992905.212 * [misc]backup-simplify: Simplify k into k 1545992905.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.212 * [misc]backup-simplify: Simplify 2 into 2 1545992905.212 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.212 * [misc]taylor: Taking taylor expansion of n in n 1545992905.212 * [misc]backup-simplify: Simplify 0 into 0 1545992905.212 * [misc]backup-simplify: Simplify 1 into 1 1545992905.212 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.212 * [misc]backup-simplify: Simplify PI into PI 1545992905.212 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992905.212 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992905.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992905.213 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992905.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.213 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992905.213 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992905.213 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992905.214 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.214 * [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)))) 1545992905.215 * [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))))) 1545992905.215 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.215 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.215 * [misc]taylor: Taking taylor expansion of k in n 1545992905.215 * [misc]backup-simplify: Simplify k into k 1545992905.215 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.215 * [misc]backup-simplify: Simplify 2 into 2 1545992905.215 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.215 * [misc]taylor: Taking taylor expansion of n in n 1545992905.215 * [misc]backup-simplify: Simplify 0 into 0 1545992905.215 * [misc]backup-simplify: Simplify 1 into 1 1545992905.215 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.215 * [misc]backup-simplify: Simplify PI into PI 1545992905.215 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992905.215 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992905.216 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992905.216 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992905.216 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.216 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992905.216 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992905.217 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992905.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.217 * [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)))) 1545992905.218 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545992905.218 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.218 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.218 * [misc]taylor: Taking taylor expansion of k in k 1545992905.218 * [misc]backup-simplify: Simplify 0 into 0 1545992905.218 * [misc]backup-simplify: Simplify 1 into 1 1545992905.218 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of n in k 1545992905.218 * [misc]backup-simplify: Simplify n into n 1545992905.218 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.218 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992905.218 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.218 * [misc]backup-simplify: Simplify 2 into 2 1545992905.218 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.218 * [misc]backup-simplify: Simplify PI into PI 1545992905.218 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.219 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.219 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992905.219 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.219 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.219 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.219 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545992905.220 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992905.220 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992905.221 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992905.222 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992905.223 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992905.223 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.224 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.224 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545992905.225 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.225 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.225 * [misc]backup-simplify: Simplify 0 into 0 1545992905.225 * [misc]backup-simplify: Simplify 0 into 0 1545992905.226 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992905.226 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992905.228 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.228 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.228 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992905.228 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.228 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.229 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545992905.230 * [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))))))) 1545992905.230 * [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))))))) 1545992905.231 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.232 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992905.235 * [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 1545992905.235 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992905.236 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.236 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.236 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.237 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992905.238 * [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 1545992905.238 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.238 * [misc]backup-simplify: Simplify 0 into 0 1545992905.238 * [misc]backup-simplify: Simplify 0 into 0 1545992905.238 * [misc]backup-simplify: Simplify 0 into 0 1545992905.239 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992905.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.245 * [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 1545992905.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992905.246 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.246 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992905.249 * [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))))) 1545992905.251 * [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))))) 1545992905.257 * [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))))) 1545992905.257 * [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)))) 1545992905.257 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545992905.257 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992905.257 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of k in k 1545992905.258 * [misc]backup-simplify: Simplify 0 into 0 1545992905.258 * [misc]backup-simplify: Simplify 1 into 1 1545992905.258 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.258 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.258 * [misc]backup-simplify: Simplify 2 into 2 1545992905.258 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992905.258 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.258 * [misc]backup-simplify: Simplify PI into PI 1545992905.258 * [misc]taylor: Taking taylor expansion of n in k 1545992905.258 * [misc]backup-simplify: Simplify n into n 1545992905.258 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992905.258 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545992905.259 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545992905.259 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.259 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.259 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.259 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545992905.259 * [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)))) 1545992905.259 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.260 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.260 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of k in n 1545992905.260 * [misc]backup-simplify: Simplify k into k 1545992905.260 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.260 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.260 * [misc]backup-simplify: Simplify 2 into 2 1545992905.260 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.260 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.260 * [misc]backup-simplify: Simplify PI into PI 1545992905.260 * [misc]taylor: Taking taylor expansion of n in n 1545992905.260 * [misc]backup-simplify: Simplify 0 into 0 1545992905.260 * [misc]backup-simplify: Simplify 1 into 1 1545992905.261 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.261 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.261 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.261 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.261 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992905.262 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992905.262 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.263 * [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))) 1545992905.263 * [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)))) 1545992905.264 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.264 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.264 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of k in n 1545992905.264 * [misc]backup-simplify: Simplify k into k 1545992905.264 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.264 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.264 * [misc]backup-simplify: Simplify 2 into 2 1545992905.264 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.264 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.264 * [misc]backup-simplify: Simplify PI into PI 1545992905.264 * [misc]taylor: Taking taylor expansion of n in n 1545992905.264 * [misc]backup-simplify: Simplify 0 into 0 1545992905.264 * [misc]backup-simplify: Simplify 1 into 1 1545992905.264 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.265 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.265 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.265 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.265 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992905.265 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992905.266 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.267 * [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))) 1545992905.268 * [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)))) 1545992905.268 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of k in k 1545992905.268 * [misc]backup-simplify: Simplify 0 into 0 1545992905.268 * [misc]backup-simplify: Simplify 1 into 1 1545992905.268 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.268 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992905.268 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.268 * [misc]backup-simplify: Simplify 2 into 2 1545992905.268 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.268 * [misc]backup-simplify: Simplify PI into PI 1545992905.269 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.269 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.269 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.269 * [misc]taylor: Taking taylor expansion of n in k 1545992905.269 * [misc]backup-simplify: Simplify n into n 1545992905.269 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.269 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.270 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.270 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.270 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992905.270 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545992905.271 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545992905.272 * [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)))) 1545992905.272 * [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)))) 1545992905.274 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992905.277 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992905.279 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.279 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.280 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.280 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545992905.282 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.282 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.282 * [misc]backup-simplify: Simplify 0 into 0 1545992905.282 * [misc]backup-simplify: Simplify 0 into 0 1545992905.282 * [misc]backup-simplify: Simplify 0 into 0 1545992905.284 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.285 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.290 * [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 1545992905.290 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992905.291 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.292 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.293 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545992905.295 * [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 1545992905.295 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.295 * [misc]backup-simplify: Simplify 0 into 0 1545992905.295 * [misc]backup-simplify: Simplify 0 into 0 1545992905.295 * [misc]backup-simplify: Simplify 0 into 0 1545992905.295 * [misc]backup-simplify: Simplify 0 into 0 1545992905.297 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.299 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.307 * [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 1545992905.308 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992905.308 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.309 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.310 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545992905.317 * [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 1545992905.317 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.317 * [misc]backup-simplify: Simplify 0 into 0 1545992905.317 * [misc]backup-simplify: Simplify 0 into 0 1545992905.318 * [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))))) 1545992905.318 * [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)) 1545992905.318 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545992905.318 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of k in k 1545992905.318 * [misc]backup-simplify: Simplify 0 into 0 1545992905.318 * [misc]backup-simplify: Simplify 1 into 1 1545992905.318 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.318 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of -2 in k 1545992905.318 * [misc]backup-simplify: Simplify -2 into -2 1545992905.318 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992905.318 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.318 * [misc]backup-simplify: Simplify PI into PI 1545992905.318 * [misc]taylor: Taking taylor expansion of n in k 1545992905.318 * [misc]backup-simplify: Simplify n into n 1545992905.318 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992905.318 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545992905.319 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545992905.319 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.319 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.319 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545992905.319 * [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))) 1545992905.319 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of k in n 1545992905.319 * [misc]backup-simplify: Simplify k into k 1545992905.319 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.319 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.319 * [misc]backup-simplify: Simplify -2 into -2 1545992905.319 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.319 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.319 * [misc]backup-simplify: Simplify PI into PI 1545992905.319 * [misc]taylor: Taking taylor expansion of n in n 1545992905.319 * [misc]backup-simplify: Simplify 0 into 0 1545992905.319 * [misc]backup-simplify: Simplify 1 into 1 1545992905.320 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.320 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.320 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.320 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.320 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992905.321 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.321 * [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))) 1545992905.321 * [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)))) 1545992905.321 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992905.321 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992905.321 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992905.321 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992905.321 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.322 * [misc]taylor: Taking taylor expansion of k in n 1545992905.322 * [misc]backup-simplify: Simplify k into k 1545992905.322 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.322 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992905.322 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.322 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.322 * [misc]backup-simplify: Simplify -2 into -2 1545992905.322 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.322 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.322 * [misc]backup-simplify: Simplify PI into PI 1545992905.322 * [misc]taylor: Taking taylor expansion of n in n 1545992905.322 * [misc]backup-simplify: Simplify 0 into 0 1545992905.322 * [misc]backup-simplify: Simplify 1 into 1 1545992905.322 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.322 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.322 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.322 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.323 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992905.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.323 * [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))) 1545992905.324 * [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)))) 1545992905.324 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.324 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of k in k 1545992905.324 * [misc]backup-simplify: Simplify 0 into 0 1545992905.324 * [misc]backup-simplify: Simplify 1 into 1 1545992905.324 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.324 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545992905.324 * [misc]taylor: Taking taylor expansion of -2 in k 1545992905.324 * [misc]backup-simplify: Simplify -2 into -2 1545992905.324 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.324 * [misc]backup-simplify: Simplify PI into PI 1545992905.324 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.325 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.325 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.325 * [misc]taylor: Taking taylor expansion of n in k 1545992905.325 * [misc]backup-simplify: Simplify n into n 1545992905.325 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.325 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.325 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.325 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992905.325 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545992905.326 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545992905.326 * [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)))) 1545992905.327 * [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)))) 1545992905.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.328 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992905.329 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545992905.329 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992905.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.330 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.331 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545992905.332 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.332 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.332 * [misc]backup-simplify: Simplify 0 into 0 1545992905.332 * [misc]backup-simplify: Simplify 0 into 0 1545992905.332 * [misc]backup-simplify: Simplify 0 into 0 1545992905.333 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.333 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.336 * [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 1545992905.336 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.336 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992905.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.337 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.337 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545992905.339 * [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 1545992905.339 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.339 * [misc]backup-simplify: Simplify 0 into 0 1545992905.339 * [misc]backup-simplify: Simplify 0 into 0 1545992905.339 * [misc]backup-simplify: Simplify 0 into 0 1545992905.339 * [misc]backup-simplify: Simplify 0 into 0 1545992905.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.341 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.346 * [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 1545992905.346 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992905.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.347 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.347 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545992905.349 * [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 1545992905.349 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.349 * [misc]backup-simplify: Simplify 0 into 0 1545992905.349 * [misc]backup-simplify: Simplify 0 into 0 1545992905.350 * [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))))) 1545992905.350 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545992905.350 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545992905.350 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545992905.350 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.350 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.350 * [misc]backup-simplify: Simplify 2 into 2 1545992905.350 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.350 * [misc]taylor: Taking taylor expansion of n in n 1545992905.350 * [misc]backup-simplify: Simplify 0 into 0 1545992905.350 * [misc]backup-simplify: Simplify 1 into 1 1545992905.350 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.350 * [misc]backup-simplify: Simplify PI into PI 1545992905.350 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.350 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.350 * [misc]backup-simplify: Simplify 2 into 2 1545992905.350 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.350 * [misc]taylor: Taking taylor expansion of n in n 1545992905.350 * [misc]backup-simplify: Simplify 0 into 0 1545992905.350 * [misc]backup-simplify: Simplify 1 into 1 1545992905.350 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.350 * [misc]backup-simplify: Simplify PI into PI 1545992905.351 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992905.351 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992905.351 * [misc]backup-simplify: Simplify 0 into 0 1545992905.351 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992905.351 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992905.352 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.352 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992905.353 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992905.353 * [misc]backup-simplify: Simplify 0 into 0 1545992905.354 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992905.355 * [misc]backup-simplify: Simplify 0 into 0 1545992905.357 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992905.359 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545992905.359 * [misc]backup-simplify: Simplify 0 into 0 1545992905.362 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992905.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545992905.364 * [misc]backup-simplify: Simplify 0 into 0 1545992905.368 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992905.371 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545992905.371 * [misc]backup-simplify: Simplify 0 into 0 1545992905.375 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545992905.380 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545992905.380 * [misc]backup-simplify: Simplify 0 into 0 1545992905.380 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545992905.380 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545992905.380 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545992905.380 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.380 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.380 * [misc]backup-simplify: Simplify 2 into 2 1545992905.380 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.380 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.380 * [misc]backup-simplify: Simplify PI into PI 1545992905.380 * [misc]taylor: Taking taylor expansion of n in n 1545992905.380 * [misc]backup-simplify: Simplify 0 into 0 1545992905.380 * [misc]backup-simplify: Simplify 1 into 1 1545992905.381 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.381 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.381 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.381 * [misc]backup-simplify: Simplify 2 into 2 1545992905.381 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.381 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.381 * [misc]backup-simplify: Simplify PI into PI 1545992905.381 * [misc]taylor: Taking taylor expansion of n in n 1545992905.381 * [misc]backup-simplify: Simplify 0 into 0 1545992905.381 * [misc]backup-simplify: Simplify 1 into 1 1545992905.381 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.382 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.382 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992905.384 * [misc]backup-simplify: Simplify 0 into 0 1545992905.385 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.386 * [misc]backup-simplify: Simplify 0 into 0 1545992905.388 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.389 * [misc]backup-simplify: Simplify 0 into 0 1545992905.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.393 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992905.394 * [misc]backup-simplify: Simplify 0 into 0 1545992905.396 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.398 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992905.398 * [misc]backup-simplify: Simplify 0 into 0 1545992905.400 * [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 1545992905.402 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992905.402 * [misc]backup-simplify: Simplify 0 into 0 1545992905.402 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545992905.402 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545992905.402 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545992905.402 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.402 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.402 * [misc]backup-simplify: Simplify -2 into -2 1545992905.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.402 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.402 * [misc]backup-simplify: Simplify PI into PI 1545992905.403 * [misc]taylor: Taking taylor expansion of n in n 1545992905.403 * [misc]backup-simplify: Simplify 0 into 0 1545992905.403 * [misc]backup-simplify: Simplify 1 into 1 1545992905.403 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.403 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.403 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.403 * [misc]backup-simplify: Simplify -2 into -2 1545992905.403 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.403 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.403 * [misc]backup-simplify: Simplify PI into PI 1545992905.403 * [misc]taylor: Taking taylor expansion of n in n 1545992905.403 * [misc]backup-simplify: Simplify 0 into 0 1545992905.403 * [misc]backup-simplify: Simplify 1 into 1 1545992905.403 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.403 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.403 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.404 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992905.404 * [misc]backup-simplify: Simplify 0 into 0 1545992905.405 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.406 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.406 * [misc]backup-simplify: Simplify 0 into 0 1545992905.407 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.408 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.408 * [misc]backup-simplify: Simplify 0 into 0 1545992905.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.410 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992905.410 * [misc]backup-simplify: Simplify 0 into 0 1545992905.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.413 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992905.413 * [misc]backup-simplify: Simplify 0 into 0 1545992905.414 * [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 1545992905.416 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992905.416 * [misc]backup-simplify: Simplify 0 into 0 1545992905.416 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545992905.416 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545992905.417 * [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)))) 1545992905.417 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545992905.417 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545992905.417 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992905.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.417 * [misc]taylor: Taking taylor expansion of k in k 1545992905.417 * [misc]backup-simplify: Simplify 0 into 0 1545992905.417 * [misc]backup-simplify: Simplify 1 into 1 1545992905.417 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.418 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992905.418 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.418 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.418 * [misc]taylor: Taking taylor expansion of k in k 1545992905.418 * [misc]backup-simplify: Simplify 0 into 0 1545992905.418 * [misc]backup-simplify: Simplify 1 into 1 1545992905.418 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.418 * [misc]backup-simplify: Simplify 2 into 2 1545992905.418 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545992905.418 * [misc]taylor: Taking taylor expansion of n in k 1545992905.418 * [misc]backup-simplify: Simplify n into n 1545992905.418 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.418 * [misc]backup-simplify: Simplify PI into PI 1545992905.418 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545992905.418 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545992905.418 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545992905.418 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992905.418 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.418 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.418 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545992905.419 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545992905.419 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of k in n 1545992905.419 * [misc]backup-simplify: Simplify k into k 1545992905.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.419 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545992905.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545992905.419 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.419 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.419 * [misc]taylor: Taking taylor expansion of k in n 1545992905.419 * [misc]backup-simplify: Simplify k into k 1545992905.419 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.419 * [misc]backup-simplify: Simplify 2 into 2 1545992905.419 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.419 * [misc]taylor: Taking taylor expansion of n in n 1545992905.419 * [misc]backup-simplify: Simplify 0 into 0 1545992905.419 * [misc]backup-simplify: Simplify 1 into 1 1545992905.419 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.419 * [misc]backup-simplify: Simplify PI into PI 1545992905.420 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992905.420 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992905.420 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992905.420 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992905.421 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.421 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992905.421 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992905.421 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992905.421 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.422 * [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)))) 1545992905.422 * [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))))) 1545992905.422 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of k in n 1545992905.422 * [misc]backup-simplify: Simplify k into k 1545992905.422 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.422 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545992905.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545992905.422 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992905.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.422 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992905.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.423 * [misc]taylor: Taking taylor expansion of k in n 1545992905.423 * [misc]backup-simplify: Simplify k into k 1545992905.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992905.423 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992905.423 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.423 * [misc]backup-simplify: Simplify 2 into 2 1545992905.423 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992905.423 * [misc]taylor: Taking taylor expansion of n in n 1545992905.423 * [misc]backup-simplify: Simplify 0 into 0 1545992905.423 * [misc]backup-simplify: Simplify 1 into 1 1545992905.423 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.423 * [misc]backup-simplify: Simplify PI into PI 1545992905.423 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992905.423 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992905.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992905.424 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992905.424 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.424 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992905.424 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992905.424 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992905.425 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.425 * [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)))) 1545992905.425 * [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))))) 1545992905.426 * [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))) 1545992905.426 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.426 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.426 * [misc]taylor: Taking taylor expansion of k in k 1545992905.426 * [misc]backup-simplify: Simplify 0 into 0 1545992905.426 * [misc]backup-simplify: Simplify 1 into 1 1545992905.426 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of n in k 1545992905.426 * [misc]backup-simplify: Simplify n into n 1545992905.426 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.426 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992905.426 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.426 * [misc]backup-simplify: Simplify 2 into 2 1545992905.426 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.426 * [misc]backup-simplify: Simplify PI into PI 1545992905.426 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.427 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.427 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992905.427 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.427 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.427 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.428 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545992905.428 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992905.428 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992905.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.428 * [misc]taylor: Taking taylor expansion of k in k 1545992905.428 * [misc]backup-simplify: Simplify 0 into 0 1545992905.428 * [misc]backup-simplify: Simplify 1 into 1 1545992905.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.428 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.429 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992905.429 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545992905.429 * [misc]backup-simplify: Simplify 0 into 0 1545992905.430 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992905.430 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992905.433 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992905.433 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.434 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.434 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545992905.435 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.436 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545992905.436 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.436 * [misc]backup-simplify: Simplify 0 into 0 1545992905.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992905.437 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992905.440 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.440 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992905.440 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.441 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545992905.443 * [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))))))) 1545992905.445 * [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))))))) 1545992905.445 * [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))))))) 1545992905.447 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.449 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992905.453 * [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 1545992905.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992905.454 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.455 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992905.458 * [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 1545992905.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.460 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545992905.460 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545992905.460 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.461 * [misc]backup-simplify: Simplify 0 into 0 1545992905.461 * [misc]backup-simplify: Simplify 0 into 0 1545992905.461 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992905.462 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992905.463 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992905.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.469 * [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 1545992905.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992905.470 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.471 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992905.474 * [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))))) 1545992905.478 * [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)))))))) 1545992905.481 * [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)))))))) 1545992905.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992905.485 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545992905.494 * [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 1545992905.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545992905.494 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992905.496 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545992905.500 * [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 1545992905.500 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.501 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545992905.502 * [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 1545992905.502 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.502 * [misc]backup-simplify: Simplify 0 into 0 1545992905.502 * [misc]backup-simplify: Simplify 0 into 0 1545992905.502 * [misc]backup-simplify: Simplify 0 into 0 1545992905.502 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.503 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992905.505 * [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 1545992905.506 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.510 * [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 1545992905.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992905.511 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545992905.514 * [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))))))) 1545992905.519 * [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)))))))))))))) 1545992905.523 * [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)))))))))))))) 1545992905.530 * [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)))))))))))))))))))))) 1545992905.530 * [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))))) 1545992905.530 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545992905.530 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545992905.530 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992905.530 * [misc]taylor: Taking taylor expansion of k in k 1545992905.530 * [misc]backup-simplify: Simplify 0 into 0 1545992905.530 * [misc]backup-simplify: Simplify 1 into 1 1545992905.530 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.531 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992905.531 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of k in k 1545992905.531 * [misc]backup-simplify: Simplify 0 into 0 1545992905.531 * [misc]backup-simplify: Simplify 1 into 1 1545992905.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.531 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.531 * [misc]backup-simplify: Simplify 2 into 2 1545992905.531 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992905.531 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.531 * [misc]backup-simplify: Simplify PI into PI 1545992905.531 * [misc]taylor: Taking taylor expansion of n in k 1545992905.531 * [misc]backup-simplify: Simplify n into n 1545992905.531 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992905.531 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545992905.531 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545992905.531 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.531 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.532 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545992905.532 * [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)))) 1545992905.532 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of k in n 1545992905.532 * [misc]backup-simplify: Simplify k into k 1545992905.532 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545992905.532 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545992905.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.532 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of k in n 1545992905.532 * [misc]backup-simplify: Simplify k into k 1545992905.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.532 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.532 * [misc]backup-simplify: Simplify 2 into 2 1545992905.532 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.532 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.532 * [misc]backup-simplify: Simplify PI into PI 1545992905.532 * [misc]taylor: Taking taylor expansion of n in n 1545992905.532 * [misc]backup-simplify: Simplify 0 into 0 1545992905.532 * [misc]backup-simplify: Simplify 1 into 1 1545992905.532 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.533 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.533 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.533 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.533 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992905.533 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992905.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.534 * [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))) 1545992905.534 * [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)))) 1545992905.534 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992905.534 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545992905.534 * [misc]taylor: Taking taylor expansion of k in n 1545992905.534 * [misc]backup-simplify: Simplify k into k 1545992905.534 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545992905.534 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545992905.534 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992905.534 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.535 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.535 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of k in n 1545992905.535 * [misc]backup-simplify: Simplify k into k 1545992905.535 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.535 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of 2 in n 1545992905.535 * [misc]backup-simplify: Simplify 2 into 2 1545992905.535 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.535 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.535 * [misc]backup-simplify: Simplify PI into PI 1545992905.535 * [misc]taylor: Taking taylor expansion of n in n 1545992905.535 * [misc]backup-simplify: Simplify 0 into 0 1545992905.535 * [misc]backup-simplify: Simplify 1 into 1 1545992905.535 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.535 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.536 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.536 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992905.536 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992905.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.536 * [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))) 1545992905.537 * [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)))) 1545992905.537 * [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)) 1545992905.537 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545992905.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545992905.537 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545992905.537 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992905.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.537 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.538 * [misc]taylor: Taking taylor expansion of k in k 1545992905.538 * [misc]backup-simplify: Simplify 0 into 0 1545992905.538 * [misc]backup-simplify: Simplify 1 into 1 1545992905.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.538 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545992905.538 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992905.538 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992905.538 * [misc]taylor: Taking taylor expansion of 2 in k 1545992905.538 * [misc]backup-simplify: Simplify 2 into 2 1545992905.538 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.538 * [misc]backup-simplify: Simplify PI into PI 1545992905.538 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992905.538 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992905.538 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.538 * [misc]taylor: Taking taylor expansion of n in k 1545992905.538 * [misc]backup-simplify: Simplify n into n 1545992905.538 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.538 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.539 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992905.539 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992905.539 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992905.539 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545992905.539 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545992905.540 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545992905.540 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992905.540 * [misc]taylor: Taking taylor expansion of k in k 1545992905.540 * [misc]backup-simplify: Simplify 0 into 0 1545992905.540 * [misc]backup-simplify: Simplify 1 into 1 1545992905.540 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.540 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992905.541 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545992905.541 * [misc]backup-simplify: Simplify 0 into 0 1545992905.541 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.542 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992905.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992905.543 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992905.544 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.545 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545992905.546 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.546 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545992905.546 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.546 * [misc]backup-simplify: Simplify 0 into 0 1545992905.546 * [misc]backup-simplify: Simplify 0 into 0 1545992905.547 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1545992905.547 * [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)))))) 1545992905.548 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.555 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545992905.555 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992905.556 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.557 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545992905.560 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992905.560 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545992905.561 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545992905.561 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.561 * [misc]backup-simplify: Simplify 0 into 0 1545992905.561 * [misc]backup-simplify: Simplify 0 into 0 1545992905.562 * [misc]backup-simplify: Simplify 0 into 0 1545992905.564 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992905.565 * [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)))))) 1545992905.566 * [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)))))) 1545992905.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.569 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992905.575 * [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 1545992905.575 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992905.576 * [misc]backup-simplify: Simplify (- 0) into 0 1545992905.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992905.577 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545992905.579 * [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 1545992905.580 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545992905.580 * [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 1545992905.580 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.580 * [misc]backup-simplify: Simplify 0 into 0 1545992905.580 * [misc]backup-simplify: Simplify 0 into 0 1545992905.580 * [misc]backup-simplify: Simplify 0 into 0 1545992905.580 * [misc]backup-simplify: Simplify 0 into 0 1545992905.581 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992905.582 * [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)))))) 1545992905.582 * [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)))))) 1545992905.584 * [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)))))))) 1545992905.584 * [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))) 1545992905.584 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545992905.584 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of k in k 1545992905.584 * [misc]backup-simplify: Simplify 0 into 0 1545992905.584 * [misc]backup-simplify: Simplify 1 into 1 1545992905.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.584 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545992905.584 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545992905.585 * [misc]taylor: Taking taylor expansion of -2 in k 1545992905.585 * [misc]backup-simplify: Simplify -2 into -2 1545992905.585 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992905.585 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.585 * [misc]backup-simplify: Simplify PI into PI 1545992905.585 * [misc]taylor: Taking taylor expansion of n in k 1545992905.585 * [misc]backup-simplify: Simplify n into n 1545992905.585 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992905.585 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545992905.585 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545992905.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.585 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.585 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545992905.585 * [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))) 1545992905.585 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992905.585 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992905.585 * [misc]taylor: Taking taylor expansion of -1 in k 1545992905.585 * [misc]backup-simplify: Simplify -1 into -1 1545992905.585 * [misc]taylor: Taking taylor expansion of k in k 1545992905.585 * [misc]backup-simplify: Simplify 0 into 0 1545992905.585 * [misc]backup-simplify: Simplify 1 into 1 1545992905.585 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992905.585 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.586 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992905.586 * [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)))) 1545992905.586 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of k in n 1545992905.586 * [misc]backup-simplify: Simplify k into k 1545992905.586 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.586 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.586 * [misc]backup-simplify: Simplify -2 into -2 1545992905.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.586 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.586 * [misc]backup-simplify: Simplify PI into PI 1545992905.586 * [misc]taylor: Taking taylor expansion of n in n 1545992905.586 * [misc]backup-simplify: Simplify 0 into 0 1545992905.586 * [misc]backup-simplify: Simplify 1 into 1 1545992905.587 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.587 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.587 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.587 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.587 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992905.588 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.588 * [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))) 1545992905.588 * [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)))) 1545992905.589 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of -1 in n 1545992905.589 * [misc]backup-simplify: Simplify -1 into -1 1545992905.589 * [misc]taylor: Taking taylor expansion of k in n 1545992905.589 * [misc]backup-simplify: Simplify k into k 1545992905.589 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992905.589 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992905.589 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992905.589 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992905.589 * [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))) 1545992905.589 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992905.589 * [misc]taylor: Taking taylor expansion of k in n 1545992905.589 * [misc]backup-simplify: Simplify k into k 1545992905.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992905.590 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992905.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.590 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992905.590 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992905.590 * [misc]taylor: Taking taylor expansion of -2 in n 1545992905.590 * [misc]backup-simplify: Simplify -2 into -2 1545992905.590 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992905.590 * [misc]taylor: Taking taylor expansion of PI in n 1545992905.590 * [misc]backup-simplify: Simplify PI into PI 1545992905.590 * [misc]taylor: Taking taylor expansion of n in n 1545992905.590 * [misc]backup-simplify: Simplify 0 into 0 1545992905.590 * [misc]backup-simplify: Simplify 1 into 1 1545992905.590 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992905.590 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.590 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992905.590 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992905.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.591 * [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))) 1545992905.592 * [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)))) 1545992905.592 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992905.592 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992905.592 * [misc]taylor: Taking taylor expansion of -1 in n 1545992905.592 * [misc]backup-simplify: Simplify -1 into -1 1545992905.592 * [misc]taylor: Taking taylor expansion of k in n 1545992905.592 * [misc]backup-simplify: Simplify k into k 1545992905.592 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992905.592 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992905.592 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992905.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992905.593 * [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))) 1545992905.593 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of k in k 1545992905.593 * [misc]backup-simplify: Simplify 0 into 0 1545992905.593 * [misc]backup-simplify: Simplify 1 into 1 1545992905.593 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992905.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992905.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992905.593 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545992905.593 * [misc]taylor: Taking taylor expansion of -2 in k 1545992905.593 * [misc]backup-simplify: Simplify -2 into -2 1545992905.593 * [misc]taylor: Taking taylor expansion of PI in k 1545992905.593 * [misc]backup-simplify: Simplify PI into PI 1545992905.593 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992905.594 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992905.594 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992905.594 * [misc]taylor: Taking taylor expansion of n in k 1545992905.594 * [misc]backup-simplify: Simplify n into n 1545992905.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992905.594 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992905.594 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992905.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992905.594 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545992905.595 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545992905.595 * [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)))) 1545992905.595 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992905.595 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992905.595 * [misc]taylor: Taking taylor expansion of -1 in k 1545992905.595 * [misc]backup-simplify: Simplify -1 into -1 1545992905.595 * [misc]taylor: Taking taylor expansion of k in k 1545992905.595 * [misc]backup-simplify: Simplify 0 into 0 1545992905.595 * [misc]backup-simplify: Simplify 1 into 1 1545992905.595 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992905.595 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992905.596 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992905.596 * [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))))) 1545992905.596 * [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))))) 1545992905.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992905.598 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992905.599 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545992905.599 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992905.600 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992905.600 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.601 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545992905.602 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992905.602 * [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 1545992905.602 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.602 * [misc]backup-simplify: Simplify 0 into 0 1545992905.602 * [misc]backup-simplify: Simplify 0 into 0 1545992905.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992905.603 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992905.604 * [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)))))) 1545992905.605 * [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)))))) 1545992905.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.607 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992905.612 * [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 1545992905.612 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992905.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992905.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992905.614 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545992905.617 * [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 1545992905.617 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992905.618 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545992905.619 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545992905.619 * [misc]taylor: Taking taylor expansion of 0 in k 1545992905.619 * [misc]backup-simplify: Simplify 0 into 0 1545992905.619 * [misc]backup-simplify: Simplify 0 into 0 1545992905.619 * [misc]backup-simplify: Simplify 0 into 0 1545992905.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992905.620 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992905.622 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +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)))))) 1545992905.623 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545992905.625 * [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))))))))))) 1545992905.626 * * * [misc]progress: simplifying candidates 1545992905.626 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545992905.626 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545992905.626 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545992905.626 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545992905.626 * * [misc]simplify: iters left: 6 (11 enodes) 1545992905.630 * * [misc]simplify: iters left: 5 (21 enodes) 1545992905.637 * * [misc]simplify: iters left: 4 (47 enodes) 1545992905.655 * * [misc]simplify: iters left: 3 (113 enodes) 1545992905.719 * * [misc]simplify: iters left: 2 (328 enodes) 1545992906.052 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545992906.053 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545992906.053 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545992906.053 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545992906.053 * [enter]simplify: Simplifying (* PI (* n 2)) 1545992906.053 * * [misc]simplify: iters left: 4 (5 enodes) 1545992906.055 * * [misc]simplify: iters left: 3 (9 enodes) 1545992906.058 * * [misc]simplify: iters left: 2 (15 enodes) 1545992906.062 * * [misc]simplify: iters left: 1 (17 enodes) 1545992906.066 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545992906.066 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545992906.066 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545992906.067 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545992906.067 * * [misc]simplify: iters left: 5 (8 enodes) 1545992906.070 * * [misc]simplify: iters left: 4 (12 enodes) 1545992906.073 * * [misc]simplify: iters left: 3 (18 enodes) 1545992906.079 * * [misc]simplify: iters left: 2 (20 enodes) 1545992906.084 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545992906.084 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545992906.084 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545992906.084 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992906.084 * * [misc]simplify: iters left: 5 (6 enodes) 1545992906.086 * * [misc]simplify: iters left: 4 (8 enodes) 1545992906.089 * * [misc]simplify: iters left: 3 (11 enodes) 1545992906.092 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992906.092 * [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))) 1545992906.092 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545992906.092 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992906.092 * * [misc]simplify: iters left: 5 (6 enodes) 1545992906.094 * * [misc]simplify: iters left: 4 (8 enodes) 1545992906.097 * * [misc]simplify: iters left: 3 (11 enodes) 1545992906.100 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992906.100 * [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))) 1545992906.100 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545992906.100 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992906.100 * * [misc]simplify: iters left: 4 (5 enodes) 1545992906.102 * * [misc]simplify: iters left: 3 (7 enodes) 1545992906.104 * * [misc]simplify: iters left: 2 (10 enodes) 1545992906.105 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992906.105 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545992906.105 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545992906.105 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545992906.105 * * [misc]simplify: iters left: 5 (9 enodes) 1545992906.107 * * [misc]simplify: iters left: 4 (15 enodes) 1545992906.109 * * [misc]simplify: iters left: 3 (21 enodes) 1545992906.111 * * [misc]simplify: iters left: 2 (22 enodes) 1545992906.114 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545992906.114 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545992906.114 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545992906.114 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545992906.114 * * [misc]simplify: iters left: 5 (9 enodes) 1545992906.116 * * [misc]simplify: iters left: 4 (15 enodes) 1545992906.118 * * [misc]simplify: iters left: 3 (21 enodes) 1545992906.121 * * [misc]simplify: iters left: 2 (22 enodes) 1545992906.123 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545992906.123 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545992906.123 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545992906.124 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545992906.124 * * [misc]simplify: iters left: 5 (7 enodes) 1545992906.125 * * [misc]simplify: iters left: 4 (9 enodes) 1545992906.126 * * [misc]simplify: iters left: 3 (12 enodes) 1545992906.127 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992906.127 * [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))) 1545992906.127 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545992906.127 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545992906.128 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545992906.128 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992906.128 * * [misc]simplify: iters left: 6 (14 enodes) 1545992906.131 * * [misc]simplify: iters left: 5 (27 enodes) 1545992906.144 * * [misc]simplify: iters left: 4 (55 enodes) 1545992906.169 * * [misc]simplify: iters left: 3 (144 enodes) 1545992906.274 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545992906.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545992906.274 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545992906.274 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992906.274 * * [misc]simplify: iters left: 6 (14 enodes) 1545992906.279 * * [misc]simplify: iters left: 5 (27 enodes) 1545992906.288 * * [misc]simplify: iters left: 4 (55 enodes) 1545992906.313 * * [misc]simplify: iters left: 3 (144 enodes) 1545992906.388 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545992906.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545992906.389 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545992906.389 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545992906.389 * * [misc]simplify: iters left: 6 (14 enodes) 1545992906.394 * * [misc]simplify: iters left: 5 (24 enodes) 1545992906.405 * * [misc]simplify: iters left: 4 (43 enodes) 1545992906.418 * * [misc]simplify: iters left: 3 (73 enodes) 1545992906.453 * * [misc]simplify: iters left: 2 (220 enodes) 1545992906.730 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545992906.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545992906.730 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545992906.730 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545992906.730 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545992906.730 * [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))) 1545992906.730 * * [misc]simplify: iters left: 6 (16 enodes) 1545992906.736 * * [misc]simplify: iters left: 5 (31 enodes) 1545992906.747 * * [misc]simplify: iters left: 4 (67 enodes) 1545992906.763 * * [misc]simplify: iters left: 3 (124 enodes) 1545992906.789 * * [misc]simplify: iters left: 2 (195 enodes) 1545992906.859 * * [misc]simplify: iters left: 1 (309 enodes) 1545992907.005 * [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)))) 1545992907.005 * [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)))))) 1545992907.005 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545992907.005 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545992907.005 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545992907.005 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545992907.005 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545992907.005 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.005 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.007 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.010 * * [misc]simplify: iters left: 4 (25 enodes) 1545992907.013 * * [misc]simplify: iters left: 3 (26 enodes) 1545992907.017 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.017 * [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))))) 1545992907.017 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545992907.017 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.019 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.021 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.025 * * [misc]simplify: iters left: 3 (25 enodes) 1545992907.031 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545992907.031 * [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))))) 1545992907.031 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545992907.032 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545992907.032 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.035 * * [misc]simplify: iters left: 5 (16 enodes) 1545992907.041 * * [misc]simplify: iters left: 4 (22 enodes) 1545992907.048 * * [misc]simplify: iters left: 3 (24 enodes) 1545992907.054 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545992907.054 * [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))))) 1545992907.054 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992907.054 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.057 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.062 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.068 * * [misc]simplify: iters left: 3 (25 enodes) 1545992907.074 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992907.074 * [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))))) 1545992907.074 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545992907.074 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545992907.074 * * [misc]simplify: iters left: 6 (9 enodes) 1545992907.077 * * [misc]simplify: iters left: 5 (16 enodes) 1545992907.082 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.087 * * [misc]simplify: iters left: 3 (26 enodes) 1545992907.092 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545992907.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545992907.092 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545992907.093 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.096 * * [misc]simplify: iters left: 5 (17 enodes) 1545992907.100 * * [misc]simplify: iters left: 4 (23 enodes) 1545992907.106 * * [misc]simplify: iters left: 3 (24 enodes) 1545992907.112 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545992907.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545992907.112 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545992907.113 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.113 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.116 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.121 * * [misc]simplify: iters left: 4 (25 enodes) 1545992907.127 * * [misc]simplify: iters left: 3 (26 enodes) 1545992907.133 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.133 * [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))))) 1545992907.134 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545992907.134 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.137 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.142 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.148 * * [misc]simplify: iters left: 3 (25 enodes) 1545992907.153 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545992907.154 * [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))))) 1545992907.154 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545992907.154 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545992907.154 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.157 * * [misc]simplify: iters left: 5 (16 enodes) 1545992907.161 * * [misc]simplify: iters left: 4 (22 enodes) 1545992907.167 * * [misc]simplify: iters left: 3 (24 enodes) 1545992907.170 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545992907.170 * [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))))) 1545992907.170 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992907.170 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.172 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.175 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.179 * * [misc]simplify: iters left: 3 (25 enodes) 1545992907.182 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992907.182 * [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))))) 1545992907.182 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545992907.182 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545992907.182 * * [misc]simplify: iters left: 6 (9 enodes) 1545992907.183 * * [misc]simplify: iters left: 5 (16 enodes) 1545992907.186 * * [misc]simplify: iters left: 4 (24 enodes) 1545992907.189 * * [misc]simplify: iters left: 3 (26 enodes) 1545992907.192 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545992907.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545992907.192 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545992907.192 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.194 * * [misc]simplify: iters left: 5 (17 enodes) 1545992907.197 * * [misc]simplify: iters left: 4 (23 enodes) 1545992907.204 * * [misc]simplify: iters left: 3 (24 enodes) 1545992907.210 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545992907.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545992907.210 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545992907.211 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.211 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.214 * * [misc]simplify: iters left: 5 (15 enodes) 1545992907.219 * * [misc]simplify: iters left: 4 (18 enodes) 1545992907.224 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.224 * [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))))) 1545992907.224 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992907.225 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.228 * * [misc]simplify: iters left: 5 (14 enodes) 1545992907.232 * * [misc]simplify: iters left: 4 (17 enodes) 1545992907.237 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992907.237 * [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))))) 1545992907.237 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545992907.237 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.238 * * [misc]simplify: iters left: 6 (10 enodes) 1545992907.241 * * [misc]simplify: iters left: 5 (12 enodes) 1545992907.244 * * [misc]simplify: iters left: 4 (15 enodes) 1545992907.249 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.249 * [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))))) 1545992907.249 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.249 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.252 * * [misc]simplify: iters left: 5 (14 enodes) 1545992907.257 * * [misc]simplify: iters left: 4 (17 enodes) 1545992907.262 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.262 * [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))))) 1545992907.262 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545992907.262 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545992907.262 * * [misc]simplify: iters left: 6 (9 enodes) 1545992907.265 * * [misc]simplify: iters left: 5 (13 enodes) 1545992907.269 * * [misc]simplify: iters left: 4 (18 enodes) 1545992907.274 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992907.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992907.274 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992907.274 * * [misc]simplify: iters left: 6 (10 enodes) 1545992907.277 * * [misc]simplify: iters left: 5 (13 enodes) 1545992907.280 * * [misc]simplify: iters left: 4 (16 enodes) 1545992907.282 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992907.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992907.282 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545992907.283 * [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)))) 1545992907.283 * * [misc]simplify: iters left: 6 (16 enodes) 1545992907.285 * * [misc]simplify: iters left: 5 (28 enodes) 1545992907.290 * * [misc]simplify: iters left: 4 (46 enodes) 1545992907.297 * * [misc]simplify: iters left: 3 (50 enodes) 1545992907.303 * * [misc]simplify: iters left: 2 (53 enodes) 1545992907.310 * [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)))) 1545992907.310 * [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))))) 1545992907.310 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992907.310 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.312 * * [misc]simplify: iters left: 5 (20 enodes) 1545992907.315 * * [misc]simplify: iters left: 4 (29 enodes) 1545992907.323 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.331 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992907.331 * [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))))) 1545992907.331 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545992907.331 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545992907.331 * * [misc]simplify: iters left: 6 (15 enodes) 1545992907.336 * * [misc]simplify: iters left: 5 (23 enodes) 1545992907.343 * * [misc]simplify: iters left: 4 (34 enodes) 1545992907.348 * * [misc]simplify: iters left: 3 (37 enodes) 1545992907.352 * [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)))))) 1545992907.352 * [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))))) 1545992907.353 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.353 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.355 * * [misc]simplify: iters left: 5 (20 enodes) 1545992907.357 * * [misc]simplify: iters left: 4 (29 enodes) 1545992907.361 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.365 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.365 * [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))))) 1545992907.365 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545992907.365 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545992907.365 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.368 * * [misc]simplify: iters left: 5 (24 enodes) 1545992907.372 * * [misc]simplify: iters left: 4 (39 enodes) 1545992907.378 * * [misc]simplify: iters left: 3 (54 enodes) 1545992907.394 * * [misc]simplify: iters left: 2 (80 enodes) 1545992907.415 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545992907.415 * [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)))) 1545992907.415 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545992907.415 * * [misc]simplify: iters left: 6 (13 enodes) 1545992907.417 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.421 * * [misc]simplify: iters left: 4 (28 enodes) 1545992907.425 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.428 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545992907.428 * [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)))) 1545992907.429 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545992907.429 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.429 * * [misc]simplify: iters left: 6 (15 enodes) 1545992907.431 * * [misc]simplify: iters left: 5 (23 enodes) 1545992907.434 * * [misc]simplify: iters left: 4 (32 enodes) 1545992907.439 * * [misc]simplify: iters left: 3 (34 enodes) 1545992907.443 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.443 * [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))))) 1545992907.443 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992907.443 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.445 * * [misc]simplify: iters left: 5 (20 enodes) 1545992907.449 * * [misc]simplify: iters left: 4 (29 enodes) 1545992907.457 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.465 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992907.465 * [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))))) 1545992907.465 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545992907.465 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.465 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.470 * * [misc]simplify: iters left: 5 (20 enodes) 1545992907.476 * * [misc]simplify: iters left: 4 (29 enodes) 1545992907.483 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.491 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.491 * [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))))) 1545992907.491 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.492 * * [misc]simplify: iters left: 6 (14 enodes) 1545992907.496 * * [misc]simplify: iters left: 5 (20 enodes) 1545992907.503 * * [misc]simplify: iters left: 4 (29 enodes) 1545992907.511 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.519 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992907.519 * [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))))) 1545992907.519 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545992907.520 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545992907.520 * * [misc]simplify: iters left: 6 (13 enodes) 1545992907.524 * * [misc]simplify: iters left: 5 (21 enodes) 1545992907.530 * * [misc]simplify: iters left: 4 (32 enodes) 1545992907.538 * * [misc]simplify: iters left: 3 (33 enodes) 1545992907.546 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545992907.546 * [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)))) 1545992907.546 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545992907.546 * * [misc]simplify: iters left: 6 (13 enodes) 1545992907.550 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.556 * * [misc]simplify: iters left: 4 (28 enodes) 1545992907.564 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.572 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545992907.572 * [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)))) 1545992907.572 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545992907.573 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992907.573 * * [misc]simplify: iters left: 6 (6 enodes) 1545992907.575 * * [misc]simplify: iters left: 5 (10 enodes) 1545992907.578 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545992907.578 * [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))))) 1545992907.578 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992907.578 * * [misc]simplify: iters left: 6 (13 enodes) 1545992907.582 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.588 * * [misc]simplify: iters left: 4 (28 enodes) 1545992907.591 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.595 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992907.595 * [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))))) 1545992907.595 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545992907.595 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545992907.595 * * [misc]simplify: iters left: 4 (5 enodes) 1545992907.596 * * [misc]simplify: iters left: 3 (7 enodes) 1545992907.597 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545992907.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545992907.597 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.597 * * [misc]simplify: iters left: 6 (13 enodes) 1545992907.599 * * [misc]simplify: iters left: 5 (19 enodes) 1545992907.601 * * [misc]simplify: iters left: 4 (28 enodes) 1545992907.605 * * [misc]simplify: iters left: 3 (30 enodes) 1545992907.611 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992907.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545992907.611 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545992907.611 * [enter]simplify: Simplifying (/ 1 1) 1545992907.612 * * [misc]simplify: iters left: 2 (2 enodes) 1545992907.612 * * [misc]simplify: iters left: 1 (4 enodes) 1545992907.613 * [exit]simplify: Simplified to 1 1545992907.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545992907.613 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545992907.613 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.616 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.619 * * [misc]simplify: iters left: 4 (27 enodes) 1545992907.622 * * [misc]simplify: iters left: 3 (29 enodes) 1545992907.627 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545992907.627 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545992907.627 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545992907.627 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545992907.627 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545992907.627 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545992907.627 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545992907.627 * * [misc]simplify: iters left: 2 (3 enodes) 1545992907.628 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545992907.628 * [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)))) 1545992907.628 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545992907.628 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545992907.628 * * [misc]simplify: iters left: 2 (3 enodes) 1545992907.628 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545992907.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992907.628 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545992907.629 * [enter]simplify: Simplifying (sqrt k) 1545992907.629 * * [misc]simplify: iters left: 1 (2 enodes) 1545992907.629 * [exit]simplify: Simplified to (sqrt k) 1545992907.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545992907.629 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545992907.629 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992907.629 * * [misc]simplify: iters left: 5 (7 enodes) 1545992907.630 * * [misc]simplify: iters left: 4 (12 enodes) 1545992907.632 * * [misc]simplify: iters left: 3 (18 enodes) 1545992907.634 * * [misc]simplify: iters left: 2 (20 enodes) 1545992907.638 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992907.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545992907.638 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545992907.638 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992907.639 * * [misc]simplify: iters left: 5 (7 enodes) 1545992907.641 * * [misc]simplify: iters left: 4 (12 enodes) 1545992907.644 * * [misc]simplify: iters left: 3 (18 enodes) 1545992907.649 * * [misc]simplify: iters left: 2 (20 enodes) 1545992907.654 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992907.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545992907.654 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545992907.655 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545992907.655 * * [misc]simplify: iters left: 5 (7 enodes) 1545992907.657 * * [misc]simplify: iters left: 4 (9 enodes) 1545992907.660 * * [misc]simplify: iters left: 3 (12 enodes) 1545992907.663 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992907.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545992907.663 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545992907.663 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545992907.664 * * [misc]simplify: iters left: 6 (12 enodes) 1545992907.668 * * [misc]simplify: iters left: 5 (18 enodes) 1545992907.673 * * [misc]simplify: iters left: 4 (27 enodes) 1545992907.681 * * [misc]simplify: iters left: 3 (29 enodes) 1545992907.689 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545992907.689 * [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))))))) 1545992907.689 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545992907.689 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545992907.689 * * [misc]simplify: iters left: 6 (11 enodes) 1545992907.693 * * [misc]simplify: iters left: 5 (17 enodes) 1545992907.698 * * [misc]simplify: iters left: 4 (26 enodes) 1545992907.705 * * [misc]simplify: iters left: 3 (27 enodes) 1545992907.712 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545992907.712 * [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))))))) 1545992907.712 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545992907.712 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545992907.713 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992907.713 * * [misc]simplify: iters left: 5 (7 enodes) 1545992907.715 * * [misc]simplify: iters left: 4 (12 enodes) 1545992907.719 * * [misc]simplify: iters left: 3 (18 enodes) 1545992907.724 * * [misc]simplify: iters left: 2 (20 enodes) 1545992907.729 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992907.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545992907.729 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545992907.730 * [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))))) 1545992907.730 * * [misc]simplify: iters left: 6 (37 enodes) 1545992907.743 * * [misc]simplify: iters left: 5 (108 enodes) 1545992907.769 * * [misc]simplify: iters left: 4 (368 enodes) 1545992908.013 * [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)))))) 1545992908.013 * [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))) 1545992908.013 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545992908.013 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545992908.013 * * [misc]simplify: iters left: 6 (15 enodes) 1545992908.017 * * [misc]simplify: iters left: 5 (33 enodes) 1545992908.025 * * [misc]simplify: iters left: 4 (64 enodes) 1545992908.047 * * [misc]simplify: iters left: 3 (179 enodes) 1545992908.134 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545992908.134 * [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))) 1545992908.134 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545992908.134 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545992908.134 * * [misc]simplify: iters left: 6 (15 enodes) 1545992908.137 * * [misc]simplify: iters left: 5 (30 enodes) 1545992908.143 * * [misc]simplify: iters left: 4 (65 enodes) 1545992908.158 * * [misc]simplify: iters left: 3 (208 enodes) 1545992908.283 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545992908.283 * [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))) 1545992908.283 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545992908.283 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992908.283 * * [misc]simplify: iters left: 4 (5 enodes) 1545992908.284 * * [misc]simplify: iters left: 3 (9 enodes) 1545992908.286 * * [misc]simplify: iters left: 2 (15 enodes) 1545992908.288 * * [misc]simplify: iters left: 1 (17 enodes) 1545992908.289 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992908.290 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992908.290 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545992908.290 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992908.290 * * [misc]simplify: iters left: 4 (5 enodes) 1545992908.291 * * [misc]simplify: iters left: 3 (9 enodes) 1545992908.292 * * [misc]simplify: iters left: 2 (15 enodes) 1545992908.294 * * [misc]simplify: iters left: 1 (17 enodes) 1545992908.296 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992908.296 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992908.296 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545992908.296 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992908.296 * * [misc]simplify: iters left: 4 (5 enodes) 1545992908.297 * * [misc]simplify: iters left: 3 (9 enodes) 1545992908.302 * * [misc]simplify: iters left: 2 (15 enodes) 1545992908.306 * * [misc]simplify: iters left: 1 (17 enodes) 1545992908.310 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992908.310 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992908.310 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545992908.311 * [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)))))))))))))))))))))) 1545992908.311 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992908.311 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545992908.311 * [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)))))))) 1545992908.311 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992908.311 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545992908.311 * [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))))))))))) 1545992908.311 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992908.311 * * * [misc]progress: adding candidates to table 1545992909.356 * * [misc]progress: iteration 2 / 4 1545992909.356 * * * [misc]progress: picking best candidate 1545992909.419 * * * * [misc]pick: Picked # 1545992909.419 * * * [misc]progress: localizing error 1545992909.427 * * * [misc]progress: generating rewritten candidates 1545992909.427 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1545992909.428 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1545992909.429 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545992909.437 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545992909.440 * * * [misc]progress: generating series expansions 1545992909.440 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1545992909.440 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545992909.440 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545992909.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.440 * [misc]taylor: Taking taylor expansion of k in k 1545992909.440 * [misc]backup-simplify: Simplify 0 into 0 1545992909.440 * [misc]backup-simplify: Simplify 1 into 1 1545992909.440 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.440 * [misc]backup-simplify: Simplify 2 into 2 1545992909.440 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545992909.440 * [misc]taylor: Taking taylor expansion of n in k 1545992909.440 * [misc]backup-simplify: Simplify n into n 1545992909.440 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.440 * [misc]backup-simplify: Simplify PI into PI 1545992909.441 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545992909.441 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545992909.441 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545992909.441 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992909.441 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.441 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.442 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545992909.442 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545992909.442 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.442 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.442 * [misc]taylor: Taking taylor expansion of k in n 1545992909.442 * [misc]backup-simplify: Simplify k into k 1545992909.442 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.442 * [misc]backup-simplify: Simplify 2 into 2 1545992909.442 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.442 * [misc]taylor: Taking taylor expansion of n in n 1545992909.442 * [misc]backup-simplify: Simplify 0 into 0 1545992909.442 * [misc]backup-simplify: Simplify 1 into 1 1545992909.442 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.442 * [misc]backup-simplify: Simplify PI into PI 1545992909.443 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992909.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992909.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992909.444 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992909.445 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.445 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992909.445 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992909.445 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992909.446 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.446 * [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)))) 1545992909.447 * [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))))) 1545992909.447 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.447 * [misc]taylor: Taking taylor expansion of k in n 1545992909.447 * [misc]backup-simplify: Simplify k into k 1545992909.447 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.447 * [misc]backup-simplify: Simplify 2 into 2 1545992909.447 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.447 * [misc]taylor: Taking taylor expansion of n in n 1545992909.447 * [misc]backup-simplify: Simplify 0 into 0 1545992909.447 * [misc]backup-simplify: Simplify 1 into 1 1545992909.447 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.447 * [misc]backup-simplify: Simplify PI into PI 1545992909.448 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992909.448 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992909.448 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992909.449 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992909.450 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.450 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992909.450 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992909.450 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992909.450 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.451 * [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)))) 1545992909.452 * [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))))) 1545992909.452 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.452 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.452 * [misc]taylor: Taking taylor expansion of k in k 1545992909.452 * [misc]backup-simplify: Simplify 0 into 0 1545992909.452 * [misc]backup-simplify: Simplify 1 into 1 1545992909.452 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of n in k 1545992909.452 * [misc]backup-simplify: Simplify n into n 1545992909.452 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.452 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992909.452 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.452 * [misc]backup-simplify: Simplify 2 into 2 1545992909.452 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.452 * [misc]backup-simplify: Simplify PI into PI 1545992909.453 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.453 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.453 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992909.454 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.454 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.454 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.455 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545992909.455 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992909.456 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992909.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992909.458 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992909.461 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.461 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992909.461 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.463 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545992909.464 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.464 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.464 * [misc]backup-simplify: Simplify 0 into 0 1545992909.464 * [misc]backup-simplify: Simplify 0 into 0 1545992909.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992909.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992909.469 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.469 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992909.469 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.469 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545992909.472 * [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))))))) 1545992909.473 * [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))))))) 1545992909.475 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992909.481 * [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 1545992909.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992909.482 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.483 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.484 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992909.486 * [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 1545992909.486 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.486 * [misc]backup-simplify: Simplify 0 into 0 1545992909.486 * [misc]backup-simplify: Simplify 0 into 0 1545992909.486 * [misc]backup-simplify: Simplify 0 into 0 1545992909.488 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992909.489 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.494 * [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 1545992909.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992909.494 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.495 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.495 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992909.498 * [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))))) 1545992909.500 * [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))))) 1545992909.503 * [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))))) 1545992909.503 * [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)))) 1545992909.503 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545992909.503 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.503 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.503 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of k in k 1545992909.503 * [misc]backup-simplify: Simplify 0 into 0 1545992909.503 * [misc]backup-simplify: Simplify 1 into 1 1545992909.503 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.503 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.503 * [misc]backup-simplify: Simplify 2 into 2 1545992909.503 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992909.503 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.503 * [misc]backup-simplify: Simplify PI into PI 1545992909.504 * [misc]taylor: Taking taylor expansion of n in k 1545992909.504 * [misc]backup-simplify: Simplify n into n 1545992909.504 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992909.504 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545992909.504 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545992909.504 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.504 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.504 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.504 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545992909.504 * [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)))) 1545992909.504 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of k in n 1545992909.504 * [misc]backup-simplify: Simplify k into k 1545992909.504 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.504 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.504 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.504 * [misc]backup-simplify: Simplify 2 into 2 1545992909.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.505 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.505 * [misc]backup-simplify: Simplify PI into PI 1545992909.505 * [misc]taylor: Taking taylor expansion of n in n 1545992909.505 * [misc]backup-simplify: Simplify 0 into 0 1545992909.505 * [misc]backup-simplify: Simplify 1 into 1 1545992909.505 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.505 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.505 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.505 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.505 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992909.505 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992909.506 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.506 * [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))) 1545992909.507 * [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)))) 1545992909.507 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of k in n 1545992909.507 * [misc]backup-simplify: Simplify k into k 1545992909.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.507 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.507 * [misc]backup-simplify: Simplify 2 into 2 1545992909.507 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.507 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.507 * [misc]backup-simplify: Simplify PI into PI 1545992909.507 * [misc]taylor: Taking taylor expansion of n in n 1545992909.507 * [misc]backup-simplify: Simplify 0 into 0 1545992909.507 * [misc]backup-simplify: Simplify 1 into 1 1545992909.507 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.507 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.508 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.508 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.508 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992909.508 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992909.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.509 * [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))) 1545992909.509 * [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)))) 1545992909.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of k in k 1545992909.509 * [misc]backup-simplify: Simplify 0 into 0 1545992909.509 * [misc]backup-simplify: Simplify 1 into 1 1545992909.509 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.509 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992909.509 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.510 * [misc]backup-simplify: Simplify 2 into 2 1545992909.510 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.510 * [misc]backup-simplify: Simplify PI into PI 1545992909.510 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.510 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.510 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.510 * [misc]taylor: Taking taylor expansion of n in k 1545992909.510 * [misc]backup-simplify: Simplify n into n 1545992909.510 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.510 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.510 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.510 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.510 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992909.511 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545992909.511 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545992909.511 * [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)))) 1545992909.512 * [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)))) 1545992909.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.513 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992909.515 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.515 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992909.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992909.515 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.516 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.516 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545992909.517 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.517 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.517 * [misc]backup-simplify: Simplify 0 into 0 1545992909.517 * [misc]backup-simplify: Simplify 0 into 0 1545992909.517 * [misc]backup-simplify: Simplify 0 into 0 1545992909.518 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.521 * [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 1545992909.522 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992909.522 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.522 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.523 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545992909.524 * [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 1545992909.524 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.524 * [misc]backup-simplify: Simplify 0 into 0 1545992909.524 * [misc]backup-simplify: Simplify 0 into 0 1545992909.525 * [misc]backup-simplify: Simplify 0 into 0 1545992909.525 * [misc]backup-simplify: Simplify 0 into 0 1545992909.526 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.527 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.534 * [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 1545992909.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992909.535 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.536 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.537 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545992909.541 * [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 1545992909.541 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.541 * [misc]backup-simplify: Simplify 0 into 0 1545992909.541 * [misc]backup-simplify: Simplify 0 into 0 1545992909.542 * [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))))) 1545992909.542 * [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)) 1545992909.542 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545992909.542 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.542 * [misc]taylor: Taking taylor expansion of k in k 1545992909.542 * [misc]backup-simplify: Simplify 0 into 0 1545992909.542 * [misc]backup-simplify: Simplify 1 into 1 1545992909.543 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.543 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545992909.543 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545992909.543 * [misc]taylor: Taking taylor expansion of -2 in k 1545992909.543 * [misc]backup-simplify: Simplify -2 into -2 1545992909.543 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992909.543 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.543 * [misc]backup-simplify: Simplify PI into PI 1545992909.543 * [misc]taylor: Taking taylor expansion of n in k 1545992909.543 * [misc]backup-simplify: Simplify n into n 1545992909.543 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992909.543 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545992909.543 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545992909.543 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.544 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545992909.544 * [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))) 1545992909.544 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of k in n 1545992909.544 * [misc]backup-simplify: Simplify k into k 1545992909.544 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.544 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.544 * [misc]backup-simplify: Simplify -2 into -2 1545992909.544 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.544 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.544 * [misc]backup-simplify: Simplify PI into PI 1545992909.544 * [misc]taylor: Taking taylor expansion of n in n 1545992909.544 * [misc]backup-simplify: Simplify 0 into 0 1545992909.544 * [misc]backup-simplify: Simplify 1 into 1 1545992909.545 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.545 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.546 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.546 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.546 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992909.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.547 * [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))) 1545992909.548 * [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)))) 1545992909.548 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of k in n 1545992909.548 * [misc]backup-simplify: Simplify k into k 1545992909.548 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.548 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.548 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.548 * [misc]backup-simplify: Simplify -2 into -2 1545992909.548 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.549 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.549 * [misc]backup-simplify: Simplify PI into PI 1545992909.549 * [misc]taylor: Taking taylor expansion of n in n 1545992909.549 * [misc]backup-simplify: Simplify 0 into 0 1545992909.549 * [misc]backup-simplify: Simplify 1 into 1 1545992909.549 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.549 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.550 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.550 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.550 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992909.550 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.551 * [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))) 1545992909.552 * [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)))) 1545992909.552 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.552 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of k in k 1545992909.552 * [misc]backup-simplify: Simplify 0 into 0 1545992909.552 * [misc]backup-simplify: Simplify 1 into 1 1545992909.552 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.552 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.552 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545992909.552 * [misc]taylor: Taking taylor expansion of -2 in k 1545992909.553 * [misc]backup-simplify: Simplify -2 into -2 1545992909.553 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.553 * [misc]backup-simplify: Simplify PI into PI 1545992909.553 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.553 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.553 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.553 * [misc]taylor: Taking taylor expansion of n in k 1545992909.553 * [misc]backup-simplify: Simplify n into n 1545992909.553 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.554 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.554 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.554 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992909.554 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545992909.555 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545992909.556 * [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)))) 1545992909.556 * [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)))) 1545992909.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.558 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992909.561 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545992909.561 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992909.562 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992909.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.563 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545992909.565 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.565 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.565 * [misc]backup-simplify: Simplify 0 into 0 1545992909.565 * [misc]backup-simplify: Simplify 0 into 0 1545992909.565 * [misc]backup-simplify: Simplify 0 into 0 1545992909.567 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.568 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.573 * [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 1545992909.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992909.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.575 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545992909.580 * [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 1545992909.580 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.580 * [misc]backup-simplify: Simplify 0 into 0 1545992909.580 * [misc]backup-simplify: Simplify 0 into 0 1545992909.580 * [misc]backup-simplify: Simplify 0 into 0 1545992909.580 * [misc]backup-simplify: Simplify 0 into 0 1545992909.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.583 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.592 * [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 1545992909.592 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992909.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.594 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545992909.598 * [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 1545992909.598 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.598 * [misc]backup-simplify: Simplify 0 into 0 1545992909.598 * [misc]backup-simplify: Simplify 0 into 0 1545992909.599 * [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))))) 1545992909.599 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1545992909.599 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545992909.599 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545992909.599 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.599 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.599 * [misc]backup-simplify: Simplify 2 into 2 1545992909.599 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.600 * [misc]taylor: Taking taylor expansion of n in n 1545992909.600 * [misc]backup-simplify: Simplify 0 into 0 1545992909.600 * [misc]backup-simplify: Simplify 1 into 1 1545992909.600 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.600 * [misc]backup-simplify: Simplify PI into PI 1545992909.600 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.600 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.600 * [misc]backup-simplify: Simplify 2 into 2 1545992909.600 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.600 * [misc]taylor: Taking taylor expansion of n in n 1545992909.600 * [misc]backup-simplify: Simplify 0 into 0 1545992909.600 * [misc]backup-simplify: Simplify 1 into 1 1545992909.600 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.600 * [misc]backup-simplify: Simplify PI into PI 1545992909.600 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992909.600 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992909.600 * [misc]backup-simplify: Simplify 0 into 0 1545992909.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992909.602 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992909.602 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.603 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992909.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992909.604 * [misc]backup-simplify: Simplify 0 into 0 1545992909.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.607 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992909.607 * [misc]backup-simplify: Simplify 0 into 0 1545992909.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992909.611 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545992909.612 * [misc]backup-simplify: Simplify 0 into 0 1545992909.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992909.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545992909.617 * [misc]backup-simplify: Simplify 0 into 0 1545992909.620 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992909.624 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545992909.624 * [misc]backup-simplify: Simplify 0 into 0 1545992909.628 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545992909.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545992909.632 * [misc]backup-simplify: Simplify 0 into 0 1545992909.632 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545992909.633 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545992909.633 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545992909.633 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.633 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.633 * [misc]backup-simplify: Simplify 2 into 2 1545992909.633 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.633 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.633 * [misc]backup-simplify: Simplify PI into PI 1545992909.633 * [misc]taylor: Taking taylor expansion of n in n 1545992909.633 * [misc]backup-simplify: Simplify 0 into 0 1545992909.633 * [misc]backup-simplify: Simplify 1 into 1 1545992909.633 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.633 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.633 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.633 * [misc]backup-simplify: Simplify 2 into 2 1545992909.633 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.633 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.633 * [misc]backup-simplify: Simplify PI into PI 1545992909.633 * [misc]taylor: Taking taylor expansion of n in n 1545992909.634 * [misc]backup-simplify: Simplify 0 into 0 1545992909.634 * [misc]backup-simplify: Simplify 1 into 1 1545992909.634 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.634 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.634 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992909.637 * [misc]backup-simplify: Simplify 0 into 0 1545992909.638 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.639 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.639 * [misc]backup-simplify: Simplify 0 into 0 1545992909.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.642 * [misc]backup-simplify: Simplify 0 into 0 1545992909.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.646 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992909.646 * [misc]backup-simplify: Simplify 0 into 0 1545992909.649 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992909.651 * [misc]backup-simplify: Simplify 0 into 0 1545992909.654 * [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 1545992909.657 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992909.657 * [misc]backup-simplify: Simplify 0 into 0 1545992909.658 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545992909.658 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545992909.658 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545992909.658 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.658 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.658 * [misc]backup-simplify: Simplify -2 into -2 1545992909.658 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.658 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.658 * [misc]backup-simplify: Simplify PI into PI 1545992909.658 * [misc]taylor: Taking taylor expansion of n in n 1545992909.658 * [misc]backup-simplify: Simplify 0 into 0 1545992909.658 * [misc]backup-simplify: Simplify 1 into 1 1545992909.658 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.658 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.659 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.659 * [misc]backup-simplify: Simplify -2 into -2 1545992909.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.659 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.659 * [misc]backup-simplify: Simplify PI into PI 1545992909.659 * [misc]taylor: Taking taylor expansion of n in n 1545992909.659 * [misc]backup-simplify: Simplify 0 into 0 1545992909.659 * [misc]backup-simplify: Simplify 1 into 1 1545992909.659 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.659 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.660 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.661 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992909.661 * [misc]backup-simplify: Simplify 0 into 0 1545992909.663 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.663 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.664 * [misc]backup-simplify: Simplify 0 into 0 1545992909.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.665 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.665 * [misc]backup-simplify: Simplify 0 into 0 1545992909.667 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.668 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545992909.668 * [misc]backup-simplify: Simplify 0 into 0 1545992909.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.671 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545992909.671 * [misc]backup-simplify: Simplify 0 into 0 1545992909.672 * [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 1545992909.674 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545992909.674 * [misc]backup-simplify: Simplify 0 into 0 1545992909.675 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545992909.675 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545992909.675 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) into (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545992909.675 * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545992909.675 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.675 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.675 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of k in k 1545992909.675 * [misc]backup-simplify: Simplify 0 into 0 1545992909.675 * [misc]backup-simplify: Simplify 1 into 1 1545992909.675 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.675 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.675 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.675 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992909.675 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992909.675 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545992909.675 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.676 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.676 * [misc]taylor: Taking taylor expansion of k in k 1545992909.676 * [misc]backup-simplify: Simplify 0 into 0 1545992909.676 * [misc]backup-simplify: Simplify 1 into 1 1545992909.676 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.676 * [misc]backup-simplify: Simplify 2 into 2 1545992909.676 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545992909.676 * [misc]taylor: Taking taylor expansion of n in k 1545992909.676 * [misc]backup-simplify: Simplify n into n 1545992909.676 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.676 * [misc]backup-simplify: Simplify PI into PI 1545992909.676 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545992909.676 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545992909.676 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545992909.676 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992909.676 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.676 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.676 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545992909.676 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545992909.676 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992909.676 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.676 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.676 * [misc]taylor: Taking taylor expansion of k in n 1545992909.677 * [misc]backup-simplify: Simplify k into k 1545992909.677 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.677 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1545992909.677 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1545992909.677 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1545992909.677 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.677 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.677 * [misc]taylor: Taking taylor expansion of k in n 1545992909.677 * [misc]backup-simplify: Simplify k into k 1545992909.677 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.677 * [misc]backup-simplify: Simplify 2 into 2 1545992909.677 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.677 * [misc]taylor: Taking taylor expansion of n in n 1545992909.677 * [misc]backup-simplify: Simplify 0 into 0 1545992909.677 * [misc]backup-simplify: Simplify 1 into 1 1545992909.677 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.677 * [misc]backup-simplify: Simplify PI into PI 1545992909.677 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992909.677 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992909.678 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992909.678 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992909.678 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.679 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992909.679 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992909.679 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992909.679 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.679 * [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)))) 1545992909.680 * [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))))) 1545992909.680 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992909.680 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.680 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of k in n 1545992909.680 * [misc]backup-simplify: Simplify k into k 1545992909.680 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.680 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1545992909.680 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1545992909.680 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1545992909.680 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.680 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.680 * [misc]taylor: Taking taylor expansion of k in n 1545992909.680 * [misc]backup-simplify: Simplify k into k 1545992909.680 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.680 * [misc]backup-simplify: Simplify 2 into 2 1545992909.680 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992909.680 * [misc]taylor: Taking taylor expansion of n in n 1545992909.680 * [misc]backup-simplify: Simplify 0 into 0 1545992909.680 * [misc]backup-simplify: Simplify 1 into 1 1545992909.680 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.680 * [misc]backup-simplify: Simplify PI into PI 1545992909.681 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992909.681 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992909.681 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992909.682 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545992909.682 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.682 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992909.682 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992909.682 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992909.682 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.683 * [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)))) 1545992909.683 * [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))))) 1545992909.684 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1545992909.684 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.684 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.684 * [misc]taylor: Taking taylor expansion of k in k 1545992909.684 * [misc]backup-simplify: Simplify 0 into 0 1545992909.684 * [misc]backup-simplify: Simplify 1 into 1 1545992909.684 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of n in k 1545992909.684 * [misc]backup-simplify: Simplify n into n 1545992909.684 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.684 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992909.684 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.684 * [misc]backup-simplify: Simplify 2 into 2 1545992909.684 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.684 * [misc]backup-simplify: Simplify PI into PI 1545992909.684 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.685 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.685 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992909.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.685 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.685 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.685 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545992909.686 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545992909.686 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992909.686 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992909.686 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992909.686 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.686 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.686 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992909.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.686 * [misc]taylor: Taking taylor expansion of k in k 1545992909.686 * [misc]backup-simplify: Simplify 0 into 0 1545992909.686 * [misc]backup-simplify: Simplify 1 into 1 1545992909.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.687 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.687 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992909.687 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992909.687 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1545992909.688 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1545992909.688 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992909.689 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545992909.691 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992909.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.691 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.692 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545992909.694 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992909.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1545992909.695 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1545992909.696 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.697 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545992909.697 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.697 * [misc]backup-simplify: Simplify 0 into 0 1545992909.697 * [misc]backup-simplify: Simplify 0 into 0 1545992909.697 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992909.700 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992909.700 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.700 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1545992909.701 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992909.703 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992909.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.706 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992909.706 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.706 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.707 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545992909.708 * [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))))))) 1545992909.710 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1545992909.713 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1545992909.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.716 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545992909.722 * [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 1545992909.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992909.723 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.724 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545992909.725 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992909.727 * [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 1545992909.727 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.729 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1545992909.729 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1545992909.731 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.732 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545992909.732 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.732 * [misc]backup-simplify: Simplify 0 into 0 1545992909.732 * [misc]backup-simplify: Simplify 0 into 0 1545992909.732 * [misc]backup-simplify: Simplify 0 into 0 1545992909.732 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.737 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992909.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.738 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1545992909.740 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.741 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992909.742 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.747 * [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 1545992909.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.748 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992909.748 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545992909.751 * [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))))) 1545992909.754 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1545992909.757 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1545992909.761 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1545992909.762 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) into (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545992909.762 * [misc]approximate: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545992909.762 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.762 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.762 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of k in k 1545992909.762 * [misc]backup-simplify: Simplify 0 into 0 1545992909.762 * [misc]backup-simplify: Simplify 1 into 1 1545992909.762 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.762 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.762 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.762 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.763 * [misc]taylor: Taking taylor expansion of k in k 1545992909.763 * [misc]backup-simplify: Simplify 0 into 0 1545992909.763 * [misc]backup-simplify: Simplify 1 into 1 1545992909.763 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.763 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545992909.763 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545992909.763 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.763 * [misc]backup-simplify: Simplify 2 into 2 1545992909.763 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992909.763 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.763 * [misc]backup-simplify: Simplify PI into PI 1545992909.763 * [misc]taylor: Taking taylor expansion of n in k 1545992909.763 * [misc]backup-simplify: Simplify n into n 1545992909.763 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992909.763 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545992909.763 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545992909.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.763 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.763 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.763 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545992909.763 * [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)))) 1545992909.763 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992909.763 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992909.764 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.764 * [misc]taylor: Taking taylor expansion of (log k) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of k in n 1545992909.764 * [misc]backup-simplify: Simplify k into k 1545992909.764 * [misc]backup-simplify: Simplify (log k) into (log k) 1545992909.764 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.764 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.764 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of k in n 1545992909.764 * [misc]backup-simplify: Simplify k into k 1545992909.764 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.764 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.764 * [misc]backup-simplify: Simplify 2 into 2 1545992909.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.764 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.764 * [misc]backup-simplify: Simplify PI into PI 1545992909.764 * [misc]taylor: Taking taylor expansion of n in n 1545992909.764 * [misc]backup-simplify: Simplify 0 into 0 1545992909.764 * [misc]backup-simplify: Simplify 1 into 1 1545992909.764 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.765 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.765 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.765 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.765 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992909.765 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992909.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.766 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545992909.766 * [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)))) 1545992909.766 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992909.766 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1545992909.766 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1545992909.766 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1545992909.766 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992909.766 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.766 * [misc]taylor: Taking taylor expansion of (log k) in n 1545992909.766 * [misc]taylor: Taking taylor expansion of k in n 1545992909.766 * [misc]backup-simplify: Simplify k into k 1545992909.766 * [misc]backup-simplify: Simplify (log k) into (log k) 1545992909.766 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.766 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.767 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of k in n 1545992909.767 * [misc]backup-simplify: Simplify k into k 1545992909.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.767 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of 2 in n 1545992909.767 * [misc]backup-simplify: Simplify 2 into 2 1545992909.767 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.767 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.767 * [misc]backup-simplify: Simplify PI into PI 1545992909.767 * [misc]taylor: Taking taylor expansion of n in n 1545992909.767 * [misc]backup-simplify: Simplify 0 into 0 1545992909.767 * [misc]backup-simplify: Simplify 1 into 1 1545992909.767 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.767 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.768 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.768 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.768 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992909.768 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992909.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.768 * [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))) 1545992909.769 * [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)))) 1545992909.769 * [misc]backup-simplify: Simplify (* (pow k 1/4) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1545992909.769 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) in k 1545992909.769 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545992909.769 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545992909.769 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992909.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of k in k 1545992909.770 * [misc]backup-simplify: Simplify 0 into 0 1545992909.770 * [misc]backup-simplify: Simplify 1 into 1 1545992909.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.770 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of 2 in k 1545992909.770 * [misc]backup-simplify: Simplify 2 into 2 1545992909.770 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.770 * [misc]backup-simplify: Simplify PI into PI 1545992909.770 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545992909.770 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545992909.770 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.770 * [misc]taylor: Taking taylor expansion of n in k 1545992909.770 * [misc]backup-simplify: Simplify n into n 1545992909.770 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.770 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.771 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992909.771 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992909.771 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992909.771 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545992909.771 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545992909.772 * [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)))) 1545992909.772 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992909.772 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992909.772 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992909.772 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.772 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.772 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992909.772 * [misc]taylor: Taking taylor expansion of k in k 1545992909.772 * [misc]backup-simplify: Simplify 0 into 0 1545992909.772 * [misc]backup-simplify: Simplify 1 into 1 1545992909.772 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.772 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.772 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.772 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.773 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1545992909.773 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1545992909.774 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545992909.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545992909.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992909.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992909.776 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.776 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.777 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545992909.778 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1545992909.779 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1545992909.779 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.780 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545992909.780 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.780 * [misc]backup-simplify: Simplify 0 into 0 1545992909.780 * [misc]backup-simplify: Simplify 0 into 0 1545992909.783 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992909.783 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.783 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1545992909.784 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.785 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (pow k 1/4))) into 0 1545992909.785 * [misc]backup-simplify: Simplify 0 into 0 1545992909.786 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.787 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.790 * [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 1545992909.790 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.791 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992909.791 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.792 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545992909.793 * [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 1545992909.794 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1545992909.794 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1545992909.795 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.796 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545992909.796 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.796 * [misc]backup-simplify: Simplify 0 into 0 1545992909.796 * [misc]backup-simplify: Simplify 0 into 0 1545992909.796 * [misc]backup-simplify: Simplify 0 into 0 1545992909.799 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992909.799 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.799 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1545992909.800 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.801 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1545992909.801 * [misc]backup-simplify: Simplify 0 into 0 1545992909.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.803 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545992909.808 * [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 1545992909.808 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992909.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545992909.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.809 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545992909.809 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545992909.812 * [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 1545992909.813 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1545992909.813 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1545992909.815 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992909.816 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545992909.816 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.816 * [misc]backup-simplify: Simplify 0 into 0 1545992909.816 * [misc]backup-simplify: Simplify 0 into 0 1545992909.817 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1545992909.817 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1545992909.817 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1545992909.817 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545992909.817 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1545992909.817 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1545992909.817 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992909.817 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992909.817 * [misc]taylor: Taking taylor expansion of -1 in k 1545992909.817 * [misc]backup-simplify: Simplify -1 into -1 1545992909.817 * [misc]taylor: Taking taylor expansion of k in k 1545992909.817 * [misc]backup-simplify: Simplify 0 into 0 1545992909.817 * [misc]backup-simplify: Simplify 1 into 1 1545992909.817 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992909.817 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992909.818 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992909.818 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1545992909.818 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1545992909.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992909.819 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992909.819 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1545992909.820 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1545992909.820 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.820 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of k in k 1545992909.820 * [misc]backup-simplify: Simplify 0 into 0 1545992909.820 * [misc]backup-simplify: Simplify 1 into 1 1545992909.820 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.820 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of -2 in k 1545992909.820 * [misc]backup-simplify: Simplify -2 into -2 1545992909.820 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545992909.820 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.820 * [misc]backup-simplify: Simplify PI into PI 1545992909.820 * [misc]taylor: Taking taylor expansion of n in k 1545992909.820 * [misc]backup-simplify: Simplify n into n 1545992909.820 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545992909.820 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545992909.820 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545992909.820 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.820 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.821 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545992909.821 * [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))) 1545992909.821 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of -1 in n 1545992909.821 * [misc]backup-simplify: Simplify -1 into -1 1545992909.821 * [misc]taylor: Taking taylor expansion of k in n 1545992909.821 * [misc]backup-simplify: Simplify k into k 1545992909.821 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992909.821 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992909.821 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992909.821 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992909.821 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1545992909.821 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1545992909.821 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545992909.821 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1545992909.821 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.821 * [misc]taylor: Taking taylor expansion of k in n 1545992909.822 * [misc]backup-simplify: Simplify k into k 1545992909.822 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.822 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992909.822 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.822 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.822 * [misc]backup-simplify: Simplify -2 into -2 1545992909.822 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.822 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.822 * [misc]backup-simplify: Simplify PI into PI 1545992909.822 * [misc]taylor: Taking taylor expansion of n in n 1545992909.822 * [misc]backup-simplify: Simplify 0 into 0 1545992909.822 * [misc]backup-simplify: Simplify 1 into 1 1545992909.822 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.822 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.822 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.822 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.822 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992909.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.823 * [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))) 1545992909.824 * [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)))) 1545992909.824 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of -1 in n 1545992909.824 * [misc]backup-simplify: Simplify -1 into -1 1545992909.824 * [misc]taylor: Taking taylor expansion of k in n 1545992909.824 * [misc]backup-simplify: Simplify k into k 1545992909.824 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992909.824 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992909.824 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992909.824 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992909.824 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1545992909.824 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1545992909.824 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545992909.824 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1545992909.824 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992909.824 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.824 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.824 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992909.825 * [misc]taylor: Taking taylor expansion of k in n 1545992909.825 * [misc]backup-simplify: Simplify k into k 1545992909.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992909.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992909.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.825 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545992909.825 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545992909.825 * [misc]taylor: Taking taylor expansion of -2 in n 1545992909.825 * [misc]backup-simplify: Simplify -2 into -2 1545992909.825 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545992909.825 * [misc]taylor: Taking taylor expansion of PI in n 1545992909.825 * [misc]backup-simplify: Simplify PI into PI 1545992909.825 * [misc]taylor: Taking taylor expansion of n in n 1545992909.825 * [misc]backup-simplify: Simplify 0 into 0 1545992909.825 * [misc]backup-simplify: Simplify 1 into 1 1545992909.825 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545992909.825 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.825 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.825 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992909.825 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992909.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.826 * [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))) 1545992909.827 * [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)))) 1545992909.827 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545992909.827 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k 1545992909.827 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1545992909.827 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1545992909.827 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992909.827 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992909.827 * [misc]taylor: Taking taylor expansion of -1 in k 1545992909.827 * [misc]backup-simplify: Simplify -1 into -1 1545992909.827 * [misc]taylor: Taking taylor expansion of k in k 1545992909.827 * [misc]backup-simplify: Simplify 0 into 0 1545992909.827 * [misc]backup-simplify: Simplify 1 into 1 1545992909.828 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992909.828 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992909.828 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992909.828 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1545992909.829 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1545992909.829 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992909.830 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992909.831 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1545992909.831 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1545992909.831 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545992909.831 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545992909.831 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992909.831 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992909.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.832 * [misc]taylor: Taking taylor expansion of k in k 1545992909.832 * [misc]backup-simplify: Simplify 0 into 0 1545992909.832 * [misc]backup-simplify: Simplify 1 into 1 1545992909.832 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992909.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992909.832 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545992909.832 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545992909.832 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545992909.832 * [misc]taylor: Taking taylor expansion of -2 in k 1545992909.832 * [misc]backup-simplify: Simplify -2 into -2 1545992909.832 * [misc]taylor: Taking taylor expansion of PI in k 1545992909.832 * [misc]backup-simplify: Simplify PI into PI 1545992909.832 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545992909.833 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545992909.833 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992909.833 * [misc]taylor: Taking taylor expansion of n in k 1545992909.833 * [misc]backup-simplify: Simplify n into n 1545992909.833 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992909.833 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992909.833 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992909.833 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992909.834 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545992909.834 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545992909.835 * [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)))) 1545992909.836 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) 1545992909.837 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) 1545992909.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545992909.838 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545992909.841 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545992909.841 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992909.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992909.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.843 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545992909.845 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.845 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545992909.845 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.845 * [misc]backup-simplify: Simplify 0 into 0 1545992909.845 * [misc]backup-simplify: Simplify 0 into 0 1545992909.846 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) 1545992909.847 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) 1545992909.848 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.848 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545992909.851 * [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 1545992909.851 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992909.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992909.852 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545992909.853 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545992909.854 * [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 1545992909.854 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992909.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545992909.855 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545992909.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1545992909.856 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0 1545992909.856 * [misc]taylor: Taking taylor expansion of 0 in k 1545992909.856 * [misc]backup-simplify: Simplify 0 into 0 1545992909.856 * [misc]backup-simplify: Simplify 0 into 0 1545992909.856 * [misc]backup-simplify: Simplify 0 into 0 1545992909.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.857 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992909.858 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1545992909.859 * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1545992909.861 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1545992909.862 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1545992909.865 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) into (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1545992909.865 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545992909.865 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) 1545992909.865 * [misc]approximate: Taking taylor expansion of (pow k 1/4) in (k) around 0 1545992909.865 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992909.865 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992909.865 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992909.865 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.865 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.865 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992909.865 * [misc]taylor: Taking taylor expansion of k in k 1545992909.865 * [misc]backup-simplify: Simplify 0 into 0 1545992909.865 * [misc]backup-simplify: Simplify 1 into 1 1545992909.866 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.866 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.866 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.866 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992909.866 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992909.866 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992909.866 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.866 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.866 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992909.866 * [misc]taylor: Taking taylor expansion of k in k 1545992909.866 * [misc]backup-simplify: Simplify 0 into 0 1545992909.866 * [misc]backup-simplify: Simplify 1 into 1 1545992909.866 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.866 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992909.866 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992909.866 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1545992909.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992909.868 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.868 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1545992909.869 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.869 * [misc]backup-simplify: Simplify 0 into 0 1545992909.872 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992909.872 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.872 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1545992909.874 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.874 * [misc]backup-simplify: Simplify 0 into 0 1545992909.881 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545992909.881 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.882 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1545992909.885 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992909.885 * [misc]backup-simplify: Simplify 0 into 0 1545992909.896 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1545992909.896 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.897 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 1545992909.902 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.903 * [misc]backup-simplify: Simplify 0 into 0 1545992909.913 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1545992909.913 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.913 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 1545992909.918 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992909.918 * [misc]backup-simplify: Simplify 0 into 0 1545992909.935 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1545992909.936 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992909.936 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 1545992909.950 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.950 * [misc]backup-simplify: Simplify 0 into 0 1545992909.950 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1545992909.951 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) 1545992909.951 * [misc]approximate: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 1545992909.951 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992909.951 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992909.951 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992909.951 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.951 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.951 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992909.951 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.951 * [misc]taylor: Taking taylor expansion of k in k 1545992909.951 * [misc]backup-simplify: Simplify 0 into 0 1545992909.951 * [misc]backup-simplify: Simplify 1 into 1 1545992909.951 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.951 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.951 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.952 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992909.952 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992909.952 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992909.952 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992909.952 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992909.952 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992909.952 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992909.952 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992909.952 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992909.952 * [misc]taylor: Taking taylor expansion of k in k 1545992909.952 * [misc]backup-simplify: Simplify 0 into 0 1545992909.952 * [misc]backup-simplify: Simplify 1 into 1 1545992909.952 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992909.952 * [misc]backup-simplify: Simplify (log 1) into 0 1545992909.953 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.953 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992909.953 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992909.953 * [misc]backup-simplify: Simplify (pow k -1/4) into (pow k -1/4) 1545992909.953 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992909.956 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992909.956 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.956 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1545992909.957 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992909.957 * [misc]backup-simplify: Simplify 0 into 0 1545992909.958 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.962 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992909.962 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.962 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1545992909.963 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.964 * [misc]backup-simplify: Simplify 0 into 0 1545992909.964 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.968 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545992909.968 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.968 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1545992909.970 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992909.970 * [misc]backup-simplify: Simplify 0 into 0 1545992909.970 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.977 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1545992909.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.978 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1545992909.981 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992909.981 * [misc]backup-simplify: Simplify 0 into 0 1545992909.981 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992909.991 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1545992909.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992909.992 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1545992910.001 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992910.001 * [misc]backup-simplify: Simplify 0 into 0 1545992910.002 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992910.028 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1545992910.029 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992910.030 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1545992910.043 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992910.043 * [misc]backup-simplify: Simplify 0 into 0 1545992910.043 * [misc]backup-simplify: Simplify (pow (/ 1 k) -1/4) into (pow (/ 1 k) -1/4) 1545992910.044 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 (- k)))) into (sqrt (sqrt (/ -1 k))) 1545992910.044 * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in (k) around 0 1545992910.044 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1545992910.044 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992910.044 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992910.044 * [misc]taylor: Taking taylor expansion of -1 in k 1545992910.044 * [misc]backup-simplify: Simplify -1 into -1 1545992910.044 * [misc]taylor: Taking taylor expansion of k in k 1545992910.044 * [misc]backup-simplify: Simplify 0 into 0 1545992910.044 * [misc]backup-simplify: Simplify 1 into 1 1545992910.044 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992910.044 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992910.045 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992910.045 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1545992910.045 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992910.046 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992910.047 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1545992910.047 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1545992910.047 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992910.047 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992910.047 * [misc]taylor: Taking taylor expansion of -1 in k 1545992910.047 * [misc]backup-simplify: Simplify -1 into -1 1545992910.047 * [misc]taylor: Taking taylor expansion of k in k 1545992910.047 * [misc]backup-simplify: Simplify 0 into 0 1545992910.047 * [misc]backup-simplify: Simplify 1 into 1 1545992910.047 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992910.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992910.048 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992910.048 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1545992910.049 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992910.050 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992910.050 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1545992910.051 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1545992910.051 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 1545992910.051 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992910.052 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992910.053 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1545992910.055 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1545992910.057 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1545992910.057 * * * [misc]progress: simplifying candidates 1545992910.057 * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # 1545992910.057 * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # 1545992910.057 * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # 1545992910.057 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545992910.057 * * [misc]simplify: iters left: 6 (11 enodes) 1545992910.059 * * [misc]simplify: iters left: 5 (21 enodes) 1545992910.063 * * [misc]simplify: iters left: 4 (47 enodes) 1545992910.072 * * [misc]simplify: iters left: 3 (113 enodes) 1545992910.122 * * [misc]simplify: iters left: 2 (328 enodes) 1545992910.361 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545992910.361 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.361 * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # 1545992910.362 * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # 1545992910.362 * [enter]simplify: Simplifying (* PI (* n 2)) 1545992910.362 * * [misc]simplify: iters left: 4 (5 enodes) 1545992910.364 * * [misc]simplify: iters left: 3 (9 enodes) 1545992910.367 * * [misc]simplify: iters left: 2 (15 enodes) 1545992910.371 * * [misc]simplify: iters left: 1 (17 enodes) 1545992910.375 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545992910.375 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.376 * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # 1545992910.376 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545992910.376 * * [misc]simplify: iters left: 5 (8 enodes) 1545992910.378 * * [misc]simplify: iters left: 4 (12 enodes) 1545992910.382 * * [misc]simplify: iters left: 3 (18 enodes) 1545992910.387 * * [misc]simplify: iters left: 2 (20 enodes) 1545992910.392 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545992910.392 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.392 * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # 1545992910.393 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992910.393 * * [misc]simplify: iters left: 5 (6 enodes) 1545992910.395 * * [misc]simplify: iters left: 4 (8 enodes) 1545992910.397 * * [misc]simplify: iters left: 3 (11 enodes) 1545992910.400 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992910.400 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.400 * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # 1545992910.401 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992910.401 * * [misc]simplify: iters left: 5 (6 enodes) 1545992910.402 * * [misc]simplify: iters left: 4 (8 enodes) 1545992910.405 * * [misc]simplify: iters left: 3 (11 enodes) 1545992910.408 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992910.408 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.408 * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # 1545992910.408 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992910.409 * * [misc]simplify: iters left: 4 (5 enodes) 1545992910.410 * * [misc]simplify: iters left: 3 (7 enodes) 1545992910.412 * * [misc]simplify: iters left: 2 (10 enodes) 1545992910.415 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992910.415 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.415 * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # 1545992910.415 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545992910.415 * * [misc]simplify: iters left: 5 (9 enodes) 1545992910.418 * * [misc]simplify: iters left: 4 (15 enodes) 1545992910.423 * * [misc]simplify: iters left: 3 (21 enodes) 1545992910.429 * * [misc]simplify: iters left: 2 (22 enodes) 1545992910.434 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545992910.435 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.435 * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # 1545992910.435 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545992910.435 * * [misc]simplify: iters left: 5 (9 enodes) 1545992910.438 * * [misc]simplify: iters left: 4 (15 enodes) 1545992910.446 * * [misc]simplify: iters left: 3 (21 enodes) 1545992910.452 * * [misc]simplify: iters left: 2 (22 enodes) 1545992910.458 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545992910.458 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.458 * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # 1545992910.458 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545992910.458 * * [misc]simplify: iters left: 5 (7 enodes) 1545992910.461 * * [misc]simplify: iters left: 4 (9 enodes) 1545992910.463 * * [misc]simplify: iters left: 3 (12 enodes) 1545992910.466 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992910.467 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992910.467 * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # 1545992910.467 * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # 1545992910.468 * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # 1545992910.468 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1545992910.468 * * [misc]simplify: iters left: 6 (15 enodes) 1545992910.474 * * [misc]simplify: iters left: 5 (28 enodes) 1545992910.483 * * [misc]simplify: iters left: 4 (56 enodes) 1545992910.498 * * [misc]simplify: iters left: 3 (146 enodes) 1545992910.579 * * [misc]simplify: iters left: 2 (495 enodes) 1545992911.140 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1545992911.140 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992911.140 * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # 1545992911.141 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1545992911.141 * * [misc]simplify: iters left: 6 (15 enodes) 1545992911.146 * * [misc]simplify: iters left: 5 (28 enodes) 1545992911.156 * * [misc]simplify: iters left: 4 (56 enodes) 1545992911.178 * * [misc]simplify: iters left: 3 (146 enodes) 1545992911.273 * * [misc]simplify: iters left: 2 (495 enodes) 1545992911.768 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1545992911.768 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992911.768 * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # 1545992911.768 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k)))) 1545992911.768 * * [misc]simplify: iters left: 6 (15 enodes) 1545992911.770 * * [misc]simplify: iters left: 5 (25 enodes) 1545992911.775 * * [misc]simplify: iters left: 4 (44 enodes) 1545992911.794 * * [misc]simplify: iters left: 3 (75 enodes) 1545992911.830 * * [misc]simplify: iters left: 2 (222 enodes) 1545992912.065 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1545992912.065 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.065 * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # 1545992912.066 * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # 1545992912.066 * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # 1545992912.066 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992912.066 * * [misc]simplify: iters left: 6 (17 enodes) 1545992912.069 * * [misc]simplify: iters left: 5 (32 enodes) 1545992912.074 * * [misc]simplify: iters left: 4 (70 enodes) 1545992912.092 * * [misc]simplify: iters left: 3 (122 enodes) 1545992912.142 * * [misc]simplify: iters left: 2 (175 enodes) 1545992912.208 * * [misc]simplify: iters left: 1 (192 enodes) 1545992912.255 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (sqrt k))))) 1545992912.255 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (sqrt k)))))) (sqrt (sqrt k)))) 1545992912.255 * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # 1545992912.255 * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # 1545992912.255 * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # 1545992912.256 * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # 1545992912.256 * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # 1545992912.256 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992912.256 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.260 * * [misc]simplify: iters left: 5 (20 enodes) 1545992912.266 * * [misc]simplify: iters left: 4 (26 enodes) 1545992912.274 * * [misc]simplify: iters left: 3 (28 enodes) 1545992912.281 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1545992912.281 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.281 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.282 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.286 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.289 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.293 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.296 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.296 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.296 * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # 1545992912.297 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992912.297 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.300 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.306 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.312 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.318 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1545992912.318 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.319 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.319 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.323 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.328 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.335 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.340 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.340 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.340 * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # 1545992912.340 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1545992912.340 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.344 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.349 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.355 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.361 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1545992912.361 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.361 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.361 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.365 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.370 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.377 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.384 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.384 * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # 1545992912.384 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1545992912.384 * * [misc]simplify: iters left: 6 (10 enodes) 1545992912.388 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.394 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.400 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.405 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992912.405 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.406 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.406 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.409 * * [misc]simplify: iters left: 5 (18 enodes) 1545992912.415 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.421 * * [misc]simplify: iters left: 3 (25 enodes) 1545992912.425 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.426 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.426 * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # 1545992912.426 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1545992912.426 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.428 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.430 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.433 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.436 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1545992912.436 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.436 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.436 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.438 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.441 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.444 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.447 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.447 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.447 * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # 1545992912.447 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545992912.447 * * [misc]simplify: iters left: 6 (9 enodes) 1545992912.449 * * [misc]simplify: iters left: 5 (16 enodes) 1545992912.452 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.454 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.457 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545992912.457 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.457 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.457 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.459 * * [misc]simplify: iters left: 5 (18 enodes) 1545992912.464 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.470 * * [misc]simplify: iters left: 3 (25 enodes) 1545992912.476 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.476 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.476 * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # 1545992912.477 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992912.477 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.481 * * [misc]simplify: iters left: 5 (20 enodes) 1545992912.487 * * [misc]simplify: iters left: 4 (26 enodes) 1545992912.494 * * [misc]simplify: iters left: 3 (28 enodes) 1545992912.503 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1545992912.503 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.503 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.503 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.507 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.513 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.520 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.527 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.527 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.527 * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # 1545992912.527 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992912.527 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.531 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.537 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.544 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.550 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1545992912.550 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.551 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.551 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.555 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.560 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.567 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.574 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.574 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.574 * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # 1545992912.574 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1545992912.574 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.578 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.583 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.589 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.595 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1545992912.596 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.596 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.596 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.600 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.606 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.613 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.620 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.620 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.620 * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # 1545992912.620 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1545992912.620 * * [misc]simplify: iters left: 6 (10 enodes) 1545992912.624 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.629 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.634 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.640 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992912.640 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.640 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.641 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.644 * * [misc]simplify: iters left: 5 (18 enodes) 1545992912.650 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.658 * * [misc]simplify: iters left: 3 (25 enodes) 1545992912.664 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.664 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.664 * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # 1545992912.664 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1545992912.664 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.666 * * [misc]simplify: iters left: 5 (17 enodes) 1545992912.668 * * [misc]simplify: iters left: 4 (23 enodes) 1545992912.671 * * [misc]simplify: iters left: 3 (24 enodes) 1545992912.674 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1545992912.674 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.674 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.674 * * [misc]simplify: iters left: 6 (13 enodes) 1545992912.676 * * [misc]simplify: iters left: 5 (19 enodes) 1545992912.679 * * [misc]simplify: iters left: 4 (25 enodes) 1545992912.682 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.685 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.685 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.685 * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # 1545992912.685 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545992912.685 * * [misc]simplify: iters left: 6 (9 enodes) 1545992912.687 * * [misc]simplify: iters left: 5 (16 enodes) 1545992912.690 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.693 * * [misc]simplify: iters left: 3 (26 enodes) 1545992912.699 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545992912.699 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.699 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.699 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.703 * * [misc]simplify: iters left: 5 (18 enodes) 1545992912.708 * * [misc]simplify: iters left: 4 (24 enodes) 1545992912.715 * * [misc]simplify: iters left: 3 (25 enodes) 1545992912.720 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545992912.720 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.720 * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # 1545992912.721 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992912.721 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.722 * * [misc]simplify: iters left: 5 (16 enodes) 1545992912.725 * * [misc]simplify: iters left: 4 (19 enodes) 1545992912.727 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1545992912.727 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.727 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.728 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.729 * * [misc]simplify: iters left: 5 (15 enodes) 1545992912.731 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.734 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992912.734 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.734 * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # 1545992912.734 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992912.734 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.736 * * [misc]simplify: iters left: 5 (15 enodes) 1545992912.738 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.741 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1545992912.741 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.741 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.741 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.742 * * [misc]simplify: iters left: 5 (15 enodes) 1545992912.744 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.748 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992912.748 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.748 * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # 1545992912.748 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.748 * * [misc]simplify: iters left: 6 (11 enodes) 1545992912.750 * * [misc]simplify: iters left: 5 (13 enodes) 1545992912.752 * * [misc]simplify: iters left: 4 (16 enodes) 1545992912.756 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.756 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.757 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.757 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.760 * * [misc]simplify: iters left: 5 (15 enodes) 1545992912.765 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.769 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.769 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.770 * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # 1545992912.770 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) 1545992912.770 * * [misc]simplify: iters left: 6 (10 enodes) 1545992912.774 * * [misc]simplify: iters left: 5 (14 enodes) 1545992912.777 * * [misc]simplify: iters left: 4 (17 enodes) 1545992912.782 * * [misc]simplify: iters left: 3 (19 enodes) 1545992912.786 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992912.786 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.787 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992912.787 * * [misc]simplify: iters left: 6 (11 enodes) 1545992912.790 * * [misc]simplify: iters left: 5 (14 enodes) 1545992912.795 * * [misc]simplify: iters left: 4 (17 enodes) 1545992912.800 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992912.800 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.800 * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # 1545992912.800 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.800 * * [misc]simplify: iters left: 6 (11 enodes) 1545992912.803 * * [misc]simplify: iters left: 5 (13 enodes) 1545992912.807 * * [misc]simplify: iters left: 4 (16 enodes) 1545992912.812 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.812 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.812 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.813 * * [misc]simplify: iters left: 6 (12 enodes) 1545992912.816 * * [misc]simplify: iters left: 5 (15 enodes) 1545992912.821 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.826 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992912.826 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.826 * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # 1545992912.826 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545992912.826 * * [misc]simplify: iters left: 6 (9 enodes) 1545992912.829 * * [misc]simplify: iters left: 5 (13 enodes) 1545992912.833 * * [misc]simplify: iters left: 4 (18 enodes) 1545992912.838 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992912.838 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.838 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992912.838 * * [misc]simplify: iters left: 6 (11 enodes) 1545992912.841 * * [misc]simplify: iters left: 5 (14 enodes) 1545992912.845 * * [misc]simplify: iters left: 4 (17 enodes) 1545992912.851 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992912.851 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992912.851 * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # 1545992912.851 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992912.851 * * [misc]simplify: iters left: 6 (17 enodes) 1545992912.857 * * [misc]simplify: iters left: 5 (29 enodes) 1545992912.866 * * [misc]simplify: iters left: 4 (47 enodes) 1545992912.877 * * [misc]simplify: iters left: 3 (51 enodes) 1545992912.883 * * [misc]simplify: iters left: 2 (54 enodes) 1545992912.891 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1545992912.891 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.892 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1545992912.892 * * [misc]simplify: iters left: 6 (15 enodes) 1545992912.894 * * [misc]simplify: iters left: 5 (21 enodes) 1545992912.897 * * [misc]simplify: iters left: 4 (30 enodes) 1545992912.901 * * [misc]simplify: iters left: 3 (31 enodes) 1545992912.905 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1545992912.905 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.905 * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # 1545992912.905 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992912.905 * * [misc]simplify: iters left: 6 (17 enodes) 1545992912.909 * * [misc]simplify: iters left: 5 (26 enodes) 1545992912.916 * * [misc]simplify: iters left: 4 (37 enodes) 1545992912.926 * * [misc]simplify: iters left: 3 (40 enodes) 1545992912.937 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545992912.937 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.938 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1545992912.938 * * [misc]simplify: iters left: 6 (15 enodes) 1545992912.942 * * [misc]simplify: iters left: 5 (21 enodes) 1545992912.949 * * [misc]simplify: iters left: 4 (30 enodes) 1545992912.957 * * [misc]simplify: iters left: 3 (31 enodes) 1545992912.965 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1545992912.965 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.965 * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # 1545992912.965 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1545992912.965 * * [misc]simplify: iters left: 6 (16 enodes) 1545992912.970 * * [misc]simplify: iters left: 5 (24 enodes) 1545992912.977 * * [misc]simplify: iters left: 4 (35 enodes) 1545992912.987 * * [misc]simplify: iters left: 3 (37 enodes) 1545992912.994 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1545992912.994 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992912.994 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992912.994 * * [misc]simplify: iters left: 6 (15 enodes) 1545992912.997 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.000 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.004 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.008 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.008 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.008 * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # 1545992913.009 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) 1545992913.009 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.012 * * [misc]simplify: iters left: 5 (25 enodes) 1545992913.015 * * [misc]simplify: iters left: 4 (36 enodes) 1545992913.020 * * [misc]simplify: iters left: 3 (41 enodes) 1545992913.025 * * [misc]simplify: iters left: 2 (56 enodes) 1545992913.031 * * [misc]simplify: iters left: 1 (57 enodes) 1545992913.037 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545992913.037 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.037 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.037 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.041 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.047 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.055 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.063 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.063 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.063 * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # 1545992913.063 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1545992913.063 * * [misc]simplify: iters left: 6 (16 enodes) 1545992913.066 * * [misc]simplify: iters left: 5 (24 enodes) 1545992913.069 * * [misc]simplify: iters left: 4 (35 enodes) 1545992913.074 * * [misc]simplify: iters left: 3 (37 enodes) 1545992913.078 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1545992913.079 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.079 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.079 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.081 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.084 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.088 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.093 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.093 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.093 * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # 1545992913.093 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545992913.093 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.095 * * [misc]simplify: iters left: 5 (24 enodes) 1545992913.099 * * [misc]simplify: iters left: 4 (39 enodes) 1545992913.104 * * [misc]simplify: iters left: 3 (54 enodes) 1545992913.111 * * [misc]simplify: iters left: 2 (80 enodes) 1545992913.121 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545992913.122 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.122 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.122 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.124 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.126 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.133 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.141 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.141 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.141 * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # 1545992913.141 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992913.141 * * [misc]simplify: iters left: 6 (16 enodes) 1545992913.146 * * [misc]simplify: iters left: 5 (24 enodes) 1545992913.153 * * [misc]simplify: iters left: 4 (33 enodes) 1545992913.161 * * [misc]simplify: iters left: 3 (34 enodes) 1545992913.165 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992913.165 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.165 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1545992913.166 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.168 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.171 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.174 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.178 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1545992913.178 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.178 * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # 1545992913.179 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992913.179 * * [misc]simplify: iters left: 6 (16 enodes) 1545992913.182 * * [misc]simplify: iters left: 5 (23 enodes) 1545992913.185 * * [misc]simplify: iters left: 4 (32 enodes) 1545992913.189 * * [misc]simplify: iters left: 3 (34 enodes) 1545992913.193 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1545992913.194 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.194 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1545992913.194 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.197 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.203 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.211 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.219 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1545992913.219 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.219 * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # 1545992913.220 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.220 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.224 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.231 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.239 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.245 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.245 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.245 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.246 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.248 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.251 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.254 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.258 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.258 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.258 * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # 1545992913.258 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) 1545992913.259 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.261 * * [misc]simplify: iters left: 5 (22 enodes) 1545992913.264 * * [misc]simplify: iters left: 4 (31 enodes) 1545992913.269 * * [misc]simplify: iters left: 3 (35 enodes) 1545992913.273 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545992913.273 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.273 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.273 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.275 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.280 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.290 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.294 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.294 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.294 * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # 1545992913.295 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.295 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.297 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.300 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.304 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.307 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.307 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.308 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.308 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.310 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.313 * * [misc]simplify: iters left: 4 (30 enodes) 1545992913.317 * * [misc]simplify: iters left: 3 (31 enodes) 1545992913.321 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1545992913.321 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.321 * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # 1545992913.321 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545992913.321 * * [misc]simplify: iters left: 6 (13 enodes) 1545992913.323 * * [misc]simplify: iters left: 5 (21 enodes) 1545992913.326 * * [misc]simplify: iters left: 4 (32 enodes) 1545992913.333 * * [misc]simplify: iters left: 3 (33 enodes) 1545992913.340 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545992913.340 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.341 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.341 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.345 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.351 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.359 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.367 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992913.367 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.367 * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # 1545992913.367 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1545992913.367 * * [misc]simplify: iters left: 6 (7 enodes) 1545992913.369 * * [misc]simplify: iters left: 5 (11 enodes) 1545992913.372 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1545992913.372 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.373 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992913.373 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.377 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.383 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.391 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.400 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1545992913.400 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.400 * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # 1545992913.400 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992913.400 * * [misc]simplify: iters left: 6 (7 enodes) 1545992913.402 * * [misc]simplify: iters left: 5 (10 enodes) 1545992913.405 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1545992913.405 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.405 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992913.405 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.410 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.416 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.424 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.431 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1545992913.431 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.431 * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # 1545992913.432 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1545992913.432 * * [misc]simplify: iters left: 5 (6 enodes) 1545992913.434 * * [misc]simplify: iters left: 4 (8 enodes) 1545992913.436 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1545992913.436 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.437 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992913.437 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.441 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.447 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.455 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.462 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992913.462 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.462 * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # 1545992913.463 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1545992913.463 * * [misc]simplify: iters left: 3 (3 enodes) 1545992913.465 * * [misc]simplify: iters left: 2 (5 enodes) 1545992913.466 * [exit]simplify: Simplified to 1 1545992913.466 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.466 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992913.466 * * [misc]simplify: iters left: 6 (13 enodes) 1545992913.470 * * [misc]simplify: iters left: 5 (19 enodes) 1545992913.476 * * [misc]simplify: iters left: 4 (28 enodes) 1545992913.483 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.491 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992913.491 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.491 * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # 1545992913.492 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1545992913.492 * * [misc]simplify: iters left: 5 (6 enodes) 1545992913.493 * * [misc]simplify: iters left: 4 (8 enodes) 1545992913.496 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1545992913.496 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.496 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992913.496 * * [misc]simplify: iters left: 6 (14 enodes) 1545992913.500 * * [misc]simplify: iters left: 5 (20 enodes) 1545992913.506 * * [misc]simplify: iters left: 4 (29 enodes) 1545992913.514 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.521 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1545992913.521 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1545992913.521 * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # 1545992913.521 * [enter]simplify: Simplifying (/ 1 1) 1545992913.521 * * [misc]simplify: iters left: 2 (2 enodes) 1545992913.521 * * [misc]simplify: iters left: 1 (4 enodes) 1545992913.522 * [exit]simplify: Simplified to 1 1545992913.522 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.522 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992913.522 * * [misc]simplify: iters left: 6 (13 enodes) 1545992913.524 * * [misc]simplify: iters left: 5 (19 enodes) 1545992913.527 * * [misc]simplify: iters left: 4 (28 enodes) 1545992913.530 * * [misc]simplify: iters left: 3 (30 enodes) 1545992913.535 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992913.536 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.536 * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # 1545992913.536 * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # 1545992913.536 * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # 1545992913.536 * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # 1545992913.536 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1545992913.536 * * [misc]simplify: iters left: 3 (4 enodes) 1545992913.537 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1545992913.537 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.537 * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # 1545992913.537 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1545992913.537 * * [misc]simplify: iters left: 3 (4 enodes) 1545992913.537 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1545992913.537 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.537 * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # 1545992913.538 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1545992913.538 * * [misc]simplify: iters left: 3 (4 enodes) 1545992913.538 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1545992913.538 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.538 * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # 1545992913.538 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545992913.538 * * [misc]simplify: iters left: 2 (3 enodes) 1545992913.539 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545992913.539 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992913.539 * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # 1545992913.539 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1545992913.539 * * [misc]simplify: iters left: 3 (4 enodes) 1545992913.540 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1545992913.540 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1545992913.540 * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # 1545992913.540 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545992913.540 * * [misc]simplify: iters left: 2 (3 enodes) 1545992913.540 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545992913.540 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992913.540 * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # 1545992913.540 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992913.540 * * [misc]simplify: iters left: 5 (7 enodes) 1545992913.542 * * [misc]simplify: iters left: 4 (12 enodes) 1545992913.543 * * [misc]simplify: iters left: 3 (18 enodes) 1545992913.546 * * [misc]simplify: iters left: 2 (20 enodes) 1545992913.549 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992913.549 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1545992913.549 * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # 1545992913.549 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992913.549 * * [misc]simplify: iters left: 5 (7 enodes) 1545992913.551 * * [misc]simplify: iters left: 4 (12 enodes) 1545992913.555 * * [misc]simplify: iters left: 3 (18 enodes) 1545992913.560 * * [misc]simplify: iters left: 2 (20 enodes) 1545992913.565 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992913.565 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1545992913.565 * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # 1545992913.565 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545992913.565 * * [misc]simplify: iters left: 5 (7 enodes) 1545992913.567 * * [misc]simplify: iters left: 4 (9 enodes) 1545992913.570 * * [misc]simplify: iters left: 3 (12 enodes) 1545992913.574 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545992913.574 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1545992913.574 * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # 1545992913.574 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545992913.574 * * [misc]simplify: iters left: 6 (12 enodes) 1545992913.578 * * [misc]simplify: iters left: 5 (18 enodes) 1545992913.584 * * [misc]simplify: iters left: 4 (27 enodes) 1545992913.591 * * [misc]simplify: iters left: 3 (29 enodes) 1545992913.598 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545992913.598 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1545992913.598 * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # 1545992913.599 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545992913.599 * * [misc]simplify: iters left: 6 (11 enodes) 1545992913.602 * * [misc]simplify: iters left: 5 (17 enodes) 1545992913.607 * * [misc]simplify: iters left: 4 (26 enodes) 1545992913.614 * * [misc]simplify: iters left: 3 (27 enodes) 1545992913.618 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545992913.618 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1545992913.618 * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # 1545992913.618 * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # 1545992913.618 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545992913.618 * * [misc]simplify: iters left: 5 (7 enodes) 1545992913.620 * * [misc]simplify: iters left: 4 (12 enodes) 1545992913.621 * * [misc]simplify: iters left: 3 (18 enodes) 1545992913.624 * * [misc]simplify: iters left: 2 (20 enodes) 1545992913.626 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545992913.626 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))) 1545992913.626 * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # 1545992913.626 * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # 1545992913.627 * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # 1545992913.627 * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # 1545992913.627 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992913.627 * * [misc]simplify: iters left: 5 (5 enodes) 1545992913.628 * * [misc]simplify: iters left: 4 (6 enodes) 1545992913.628 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1545992913.628 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (fabs (cbrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1545992913.628 * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # 1545992913.629 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1545992913.629 * * [misc]simplify: iters left: 3 (4 enodes) 1545992913.629 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1545992913.629 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1545992913.629 * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # 1545992913.629 * [enter]simplify: Simplifying (sqrt 1) 1545992913.629 * * [misc]simplify: iters left: 1 (2 enodes) 1545992913.630 * [exit]simplify: Simplified to 1 1545992913.630 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* 1 (sqrt (sqrt k))))) 1545992913.630 * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # 1545992913.630 * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # 1545992913.630 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545992913.630 * * [misc]simplify: iters left: 2 (3 enodes) 1545992913.631 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545992913.631 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (fabs (sqrt (sqrt k))))) 1545992913.631 * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # 1545992913.631 * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # 1545992913.631 * [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))))) 1545992913.631 * * [misc]simplify: iters left: 6 (37 enodes) 1545992913.639 * * [misc]simplify: iters left: 5 (108 enodes) 1545992913.676 * * [misc]simplify: iters left: 4 (368 enodes) 1545992913.982 * [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)))))) 1545992913.982 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992913.982 * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # 1545992913.982 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545992913.983 * * [misc]simplify: iters left: 6 (15 enodes) 1545992913.989 * * [misc]simplify: iters left: 5 (33 enodes) 1545992913.999 * * [misc]simplify: iters left: 4 (64 enodes) 1545992914.016 * * [misc]simplify: iters left: 3 (179 enodes) 1545992914.106 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545992914.106 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992914.107 * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # 1545992914.107 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545992914.107 * * [misc]simplify: iters left: 6 (15 enodes) 1545992914.113 * * [misc]simplify: iters left: 5 (30 enodes) 1545992914.124 * * [misc]simplify: iters left: 4 (65 enodes) 1545992914.138 * * [misc]simplify: iters left: 3 (208 enodes) 1545992914.252 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545992914.252 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992914.252 * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # 1545992914.253 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992914.253 * * [misc]simplify: iters left: 4 (5 enodes) 1545992914.254 * * [misc]simplify: iters left: 3 (9 enodes) 1545992914.255 * * [misc]simplify: iters left: 2 (15 enodes) 1545992914.257 * * [misc]simplify: iters left: 1 (17 enodes) 1545992914.259 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992914.259 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992914.259 * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # 1545992914.259 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992914.259 * * [misc]simplify: iters left: 4 (5 enodes) 1545992914.260 * * [misc]simplify: iters left: 3 (9 enodes) 1545992914.264 * * [misc]simplify: iters left: 2 (15 enodes) 1545992914.266 * * [misc]simplify: iters left: 1 (17 enodes) 1545992914.269 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992914.269 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992914.269 * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # 1545992914.269 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545992914.269 * * [misc]simplify: iters left: 4 (5 enodes) 1545992914.271 * * [misc]simplify: iters left: 3 (9 enodes) 1545992914.274 * * [misc]simplify: iters left: 2 (15 enodes) 1545992914.278 * * [misc]simplify: iters left: 1 (17 enodes) 1545992914.282 * [exit]simplify: Simplified to (* (* PI n) 2) 1545992914.282 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545992914.282 * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # 1545992914.282 * [enter]simplify: Simplifying (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1545992914.283 * * [misc]simplify: iters left: 6 (45 enodes) 1545992914.301 * * [misc]simplify: iters left: 5 (123 enodes) 1545992914.352 * * [misc]simplify: iters left: 4 (362 enodes) 1545992914.661 * [exit]simplify: Simplified to (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) 1545992914.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) (sqrt (sqrt k)))) 1545992914.661 * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # 1545992914.662 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1545992914.662 * * [misc]simplify: iters left: 6 (19 enodes) 1545992914.669 * * [misc]simplify: iters left: 5 (38 enodes) 1545992914.677 * * [misc]simplify: iters left: 4 (69 enodes) 1545992914.691 * * [misc]simplify: iters left: 3 (184 enodes) 1545992914.814 * [exit]simplify: Simplified to (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) 1545992914.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1545992914.814 * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # 1545992914.814 * [enter]simplify: Simplifying (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1545992914.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt (sqrt k)))) 1545992914.814 * * * * [misc]progress: [ 119 / 121 ] simplifiying candidate # 1545992914.815 * [enter]simplify: Simplifying (pow k 1/4) 1545992914.815 * * [misc]simplify: iters left: 1 (3 enodes) 1545992914.815 * [exit]simplify: Simplified to (pow k 1/4) 1545992914.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow k 1/4))) 1545992914.815 * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # 1545992914.815 * [enter]simplify: Simplifying (pow (/ 1 k) -1/4) 1545992914.815 * * [misc]simplify: iters left: 3 (5 enodes) 1545992914.816 * * [misc]simplify: iters left: 2 (7 enodes) 1545992914.817 * [exit]simplify: Simplified to (pow (/ 1 k) -1/4) 1545992914.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (/ 1 k) -1/4))) 1545992914.817 * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # 1545992914.817 * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1545992914.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) +nan.0)) 1545992914.817 * * * [misc]progress: adding candidates to table 1545992916.702 * * [misc]progress: iteration 3 / 4 1545992916.702 * * * [misc]progress: picking best candidate 1545992916.757 * * * * [misc]pick: Picked # 1545992916.757 * * * [misc]progress: localizing error 1545992916.771 * * * [misc]progress: generating rewritten candidates 1545992916.771 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545992916.773 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545992916.774 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545992916.778 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545992916.786 * * * [misc]progress: generating series expansions 1545992916.786 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545992916.786 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545992916.786 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545992916.786 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.786 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.786 * [misc]taylor: Taking taylor expansion of k in k 1545992916.786 * [misc]backup-simplify: Simplify 0 into 0 1545992916.786 * [misc]backup-simplify: Simplify 1 into 1 1545992916.786 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992916.786 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.786 * [misc]backup-simplify: Simplify 2 into 2 1545992916.786 * [misc]taylor: Taking taylor expansion of n in k 1545992916.786 * [misc]backup-simplify: Simplify n into n 1545992916.786 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992916.786 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992916.786 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.787 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.787 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.787 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992916.787 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992916.787 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.787 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.787 * [misc]taylor: Taking taylor expansion of k in n 1545992916.787 * [misc]backup-simplify: Simplify k into k 1545992916.787 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992916.787 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.787 * [misc]backup-simplify: Simplify 2 into 2 1545992916.787 * [misc]taylor: Taking taylor expansion of n in n 1545992916.787 * [misc]backup-simplify: Simplify 0 into 0 1545992916.787 * [misc]backup-simplify: Simplify 1 into 1 1545992916.787 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992916.787 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992916.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.788 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992916.788 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992916.788 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992916.788 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.788 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992916.788 * [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)))) 1545992916.788 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.788 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.788 * [misc]taylor: Taking taylor expansion of k in n 1545992916.788 * [misc]backup-simplify: Simplify k into k 1545992916.788 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992916.788 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.788 * [misc]backup-simplify: Simplify 2 into 2 1545992916.789 * [misc]taylor: Taking taylor expansion of n in n 1545992916.789 * [misc]backup-simplify: Simplify 0 into 0 1545992916.789 * [misc]backup-simplify: Simplify 1 into 1 1545992916.789 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992916.789 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992916.789 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.789 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992916.789 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992916.789 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992916.789 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.789 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992916.790 * [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)))) 1545992916.790 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.790 * [misc]backup-simplify: Simplify 2 into 2 1545992916.790 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.790 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of n in k 1545992916.790 * [misc]backup-simplify: Simplify n into n 1545992916.790 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992916.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.790 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.790 * [misc]taylor: Taking taylor expansion of k in k 1545992916.790 * [misc]backup-simplify: Simplify 0 into 0 1545992916.790 * [misc]backup-simplify: Simplify 1 into 1 1545992916.790 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545992916.790 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.790 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.791 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.791 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545992916.791 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992916.791 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992916.791 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992916.793 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992916.793 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.793 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.794 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992916.794 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992916.794 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.794 * [misc]backup-simplify: Simplify 0 into 0 1545992916.794 * [misc]backup-simplify: Simplify 0 into 0 1545992916.795 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992916.795 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.795 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.797 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992916.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.797 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545992916.798 * [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))))) 1545992916.798 * [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))))) 1545992916.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992916.802 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992916.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992916.803 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.803 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.804 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545992916.806 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992916.806 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.806 * [misc]backup-simplify: Simplify 0 into 0 1545992916.806 * [misc]backup-simplify: Simplify 0 into 0 1545992916.806 * [misc]backup-simplify: Simplify 0 into 0 1545992916.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992916.806 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.811 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992916.813 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992916.813 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.814 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545992916.815 * [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))))) 1545992916.817 * [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))))) 1545992916.820 * [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))))) 1545992916.820 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.820 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545992916.820 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.820 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.820 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.820 * [misc]taylor: Taking taylor expansion of k in k 1545992916.820 * [misc]backup-simplify: Simplify 0 into 0 1545992916.821 * [misc]backup-simplify: Simplify 1 into 1 1545992916.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.821 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992916.821 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992916.821 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.821 * [misc]backup-simplify: Simplify 2 into 2 1545992916.821 * [misc]taylor: Taking taylor expansion of n in k 1545992916.821 * [misc]backup-simplify: Simplify n into n 1545992916.821 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992916.821 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992916.821 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.821 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.822 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.822 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992916.822 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.822 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.822 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of k in n 1545992916.822 * [misc]backup-simplify: Simplify k into k 1545992916.822 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.822 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992916.822 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.822 * [misc]backup-simplify: Simplify 2 into 2 1545992916.822 * [misc]taylor: Taking taylor expansion of n in n 1545992916.822 * [misc]backup-simplify: Simplify 0 into 0 1545992916.823 * [misc]backup-simplify: Simplify 1 into 1 1545992916.823 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992916.823 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.823 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.823 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992916.823 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992916.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.824 * [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))) 1545992916.824 * [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)))) 1545992916.824 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992916.824 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992916.824 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992916.824 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992916.824 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.824 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.824 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.825 * [misc]taylor: Taking taylor expansion of k in n 1545992916.825 * [misc]backup-simplify: Simplify k into k 1545992916.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.825 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992916.825 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992916.825 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.825 * [misc]backup-simplify: Simplify 2 into 2 1545992916.825 * [misc]taylor: Taking taylor expansion of n in n 1545992916.825 * [misc]backup-simplify: Simplify 0 into 0 1545992916.825 * [misc]backup-simplify: Simplify 1 into 1 1545992916.825 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992916.825 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.825 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.825 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992916.826 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992916.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.826 * [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))) 1545992916.827 * [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)))) 1545992916.827 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545992916.827 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545992916.827 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.827 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.827 * [misc]taylor: Taking taylor expansion of k in k 1545992916.827 * [misc]backup-simplify: Simplify 0 into 0 1545992916.827 * [misc]backup-simplify: Simplify 1 into 1 1545992916.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.827 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545992916.828 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992916.828 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.828 * [misc]backup-simplify: Simplify 2 into 2 1545992916.828 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.828 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992916.828 * [misc]taylor: Taking taylor expansion of n in k 1545992916.828 * [misc]backup-simplify: Simplify n into n 1545992916.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992916.828 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.828 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.828 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.829 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992916.829 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545992916.829 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545992916.829 * [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)))) 1545992916.830 * [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)))) 1545992916.830 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992916.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.833 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992916.833 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992916.833 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.834 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992916.835 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992916.835 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.835 * [misc]backup-simplify: Simplify 0 into 0 1545992916.835 * [misc]backup-simplify: Simplify 0 into 0 1545992916.835 * [misc]backup-simplify: Simplify 0 into 0 1545992916.836 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992916.840 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992916.841 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992916.841 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.842 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545992916.844 * [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 1545992916.844 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.844 * [misc]backup-simplify: Simplify 0 into 0 1545992916.844 * [misc]backup-simplify: Simplify 0 into 0 1545992916.845 * [misc]backup-simplify: Simplify 0 into 0 1545992916.845 * [misc]backup-simplify: Simplify 0 into 0 1545992916.845 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992916.850 * [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 1545992916.850 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992916.851 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.851 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.851 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545992916.853 * [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 1545992916.854 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.854 * [misc]backup-simplify: Simplify 0 into 0 1545992916.854 * [misc]backup-simplify: Simplify 0 into 0 1545992916.854 * [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)))) 1545992916.854 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.854 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545992916.854 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of k in k 1545992916.854 * [misc]backup-simplify: Simplify 0 into 0 1545992916.854 * [misc]backup-simplify: Simplify 1 into 1 1545992916.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.854 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992916.854 * [misc]taylor: Taking taylor expansion of -2 in k 1545992916.854 * [misc]backup-simplify: Simplify -2 into -2 1545992916.854 * [misc]taylor: Taking taylor expansion of n in k 1545992916.854 * [misc]backup-simplify: Simplify n into n 1545992916.854 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992916.854 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992916.855 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.855 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.855 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992916.855 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.855 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of k in n 1545992916.855 * [misc]backup-simplify: Simplify k into k 1545992916.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.855 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992916.855 * [misc]taylor: Taking taylor expansion of -2 in n 1545992916.855 * [misc]backup-simplify: Simplify -2 into -2 1545992916.855 * [misc]taylor: Taking taylor expansion of n in n 1545992916.855 * [misc]backup-simplify: Simplify 0 into 0 1545992916.855 * [misc]backup-simplify: Simplify 1 into 1 1545992916.855 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992916.855 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992916.855 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.856 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992916.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992916.856 * [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))) 1545992916.856 * [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)))) 1545992916.856 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.856 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of k in n 1545992916.856 * [misc]backup-simplify: Simplify k into k 1545992916.856 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.856 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992916.856 * [misc]taylor: Taking taylor expansion of -2 in n 1545992916.856 * [misc]backup-simplify: Simplify -2 into -2 1545992916.856 * [misc]taylor: Taking taylor expansion of n in n 1545992916.856 * [misc]backup-simplify: Simplify 0 into 0 1545992916.856 * [misc]backup-simplify: Simplify 1 into 1 1545992916.857 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992916.857 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992916.857 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.857 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992916.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992916.857 * [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))) 1545992916.857 * [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)))) 1545992916.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of k in k 1545992916.858 * [misc]backup-simplify: Simplify 0 into 0 1545992916.858 * [misc]backup-simplify: Simplify 1 into 1 1545992916.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.858 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of -2 in k 1545992916.858 * [misc]backup-simplify: Simplify -2 into -2 1545992916.858 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992916.858 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992916.858 * [misc]taylor: Taking taylor expansion of n in k 1545992916.858 * [misc]backup-simplify: Simplify n into n 1545992916.858 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992916.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.858 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.858 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992916.858 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545992916.859 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545992916.859 * [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)))) 1545992916.859 * [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)))) 1545992916.859 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992916.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992916.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992916.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992916.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.864 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992916.864 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992916.865 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992916.865 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.865 * [misc]backup-simplify: Simplify 0 into 0 1545992916.865 * [misc]backup-simplify: Simplify 0 into 0 1545992916.865 * [misc]backup-simplify: Simplify 0 into 0 1545992916.865 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992916.868 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545992916.868 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992916.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992916.869 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545992916.870 * [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 1545992916.870 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.870 * [misc]backup-simplify: Simplify 0 into 0 1545992916.870 * [misc]backup-simplify: Simplify 0 into 0 1545992916.870 * [misc]backup-simplify: Simplify 0 into 0 1545992916.870 * [misc]backup-simplify: Simplify 0 into 0 1545992916.870 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992916.874 * [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 1545992916.875 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992916.875 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992916.876 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545992916.878 * [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 1545992916.878 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.878 * [misc]backup-simplify: Simplify 0 into 0 1545992916.878 * [misc]backup-simplify: Simplify 0 into 0 1545992916.878 * [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))))) 1545992916.878 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545992916.878 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545992916.878 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545992916.878 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.878 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.878 * [misc]taylor: Taking taylor expansion of k in k 1545992916.878 * [misc]backup-simplify: Simplify 0 into 0 1545992916.878 * [misc]backup-simplify: Simplify 1 into 1 1545992916.878 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.878 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.878 * [misc]backup-simplify: Simplify PI into PI 1545992916.879 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.879 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.879 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.879 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.879 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992916.880 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992916.880 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.880 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.880 * [misc]taylor: Taking taylor expansion of k in k 1545992916.880 * [misc]backup-simplify: Simplify 0 into 0 1545992916.880 * [misc]backup-simplify: Simplify 1 into 1 1545992916.880 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.880 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.880 * [misc]backup-simplify: Simplify PI into PI 1545992916.880 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.880 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.880 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.881 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.881 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992916.881 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992916.882 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545992916.883 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992916.883 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992916.884 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.884 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.884 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545992916.886 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545992916.887 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545992916.889 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545992916.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992916.890 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.890 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545992916.894 * [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))) 1545992916.895 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545992916.898 * [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)))) 1545992916.898 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.898 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545992916.898 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992916.898 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of k in k 1545992916.899 * [misc]backup-simplify: Simplify 0 into 0 1545992916.899 * [misc]backup-simplify: Simplify 1 into 1 1545992916.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.899 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.899 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.899 * [misc]backup-simplify: Simplify PI into PI 1545992916.899 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.900 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.900 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.900 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.900 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992916.901 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.901 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of k in k 1545992916.901 * [misc]backup-simplify: Simplify 0 into 0 1545992916.901 * [misc]backup-simplify: Simplify 1 into 1 1545992916.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.901 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.901 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.901 * [misc]backup-simplify: Simplify PI into PI 1545992916.902 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.902 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.902 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.903 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992916.903 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.903 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.903 * [misc]backup-simplify: Simplify 0 into 0 1545992916.904 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545992916.904 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.904 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545992916.904 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of k in k 1545992916.904 * [misc]backup-simplify: Simplify 0 into 0 1545992916.904 * [misc]backup-simplify: Simplify 1 into 1 1545992916.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.904 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.904 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.904 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.904 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.904 * [misc]backup-simplify: Simplify PI into PI 1545992916.905 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.905 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.905 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.905 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992916.906 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.906 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of k in k 1545992916.906 * [misc]backup-simplify: Simplify 0 into 0 1545992916.906 * [misc]backup-simplify: Simplify 1 into 1 1545992916.906 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.906 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992916.906 * [misc]taylor: Taking taylor expansion of PI in k 1545992916.906 * [misc]backup-simplify: Simplify PI into PI 1545992916.907 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992916.907 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.907 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.907 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992916.908 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.908 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify 0 into 0 1545992916.908 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545992916.908 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545992916.909 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545992916.909 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545992916.909 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.909 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.909 * [misc]taylor: Taking taylor expansion of k in k 1545992916.909 * [misc]backup-simplify: Simplify 0 into 0 1545992916.909 * [misc]backup-simplify: Simplify 1 into 1 1545992916.909 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992916.909 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.909 * [misc]backup-simplify: Simplify 2 into 2 1545992916.909 * [misc]taylor: Taking taylor expansion of n in k 1545992916.909 * [misc]backup-simplify: Simplify n into n 1545992916.909 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992916.909 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992916.910 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.910 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.910 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.910 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992916.910 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992916.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992916.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.910 * [misc]taylor: Taking taylor expansion of k in k 1545992916.910 * [misc]backup-simplify: Simplify 0 into 0 1545992916.910 * [misc]backup-simplify: Simplify 1 into 1 1545992916.910 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.911 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992916.911 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992916.911 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.911 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.911 * [misc]taylor: Taking taylor expansion of k in n 1545992916.911 * [misc]backup-simplify: Simplify k into k 1545992916.911 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992916.911 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.911 * [misc]backup-simplify: Simplify 2 into 2 1545992916.911 * [misc]taylor: Taking taylor expansion of n in n 1545992916.912 * [misc]backup-simplify: Simplify 0 into 0 1545992916.912 * [misc]backup-simplify: Simplify 1 into 1 1545992916.912 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992916.912 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992916.912 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.912 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992916.912 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992916.912 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992916.912 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.912 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992916.913 * [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)))) 1545992916.913 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of k in n 1545992916.913 * [misc]backup-simplify: Simplify k into k 1545992916.913 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.913 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545992916.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992916.913 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545992916.913 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.913 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.913 * [misc]taylor: Taking taylor expansion of k in n 1545992916.913 * [misc]backup-simplify: Simplify k into k 1545992916.913 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992916.913 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.913 * [misc]backup-simplify: Simplify 2 into 2 1545992916.913 * [misc]taylor: Taking taylor expansion of n in n 1545992916.913 * [misc]backup-simplify: Simplify 0 into 0 1545992916.913 * [misc]backup-simplify: Simplify 1 into 1 1545992916.913 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992916.913 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992916.914 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.914 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992916.914 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992916.914 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992916.914 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.914 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992916.914 * [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)))) 1545992916.914 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545992916.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.914 * [misc]taylor: Taking taylor expansion of k in n 1545992916.914 * [misc]backup-simplify: Simplify k into k 1545992916.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.914 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545992916.915 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992916.915 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545992916.915 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545992916.915 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.915 * [misc]backup-simplify: Simplify 2 into 2 1545992916.915 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.915 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of n in k 1545992916.915 * [misc]backup-simplify: Simplify n into n 1545992916.915 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992916.915 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.915 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992916.915 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.915 * [misc]taylor: Taking taylor expansion of k in k 1545992916.915 * [misc]backup-simplify: Simplify 0 into 0 1545992916.915 * [misc]backup-simplify: Simplify 1 into 1 1545992916.916 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545992916.916 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992916.916 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.916 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992916.916 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545992916.916 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992916.916 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992916.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.916 * [misc]taylor: Taking taylor expansion of k in k 1545992916.916 * [misc]backup-simplify: Simplify 0 into 0 1545992916.916 * [misc]backup-simplify: Simplify 1 into 1 1545992916.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992916.917 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992916.917 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545992916.917 * [misc]backup-simplify: Simplify 0 into 0 1545992916.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992916.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.919 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992916.919 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.919 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992916.920 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992916.920 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545992916.920 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.920 * [misc]backup-simplify: Simplify 0 into 0 1545992916.920 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992916.921 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.921 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992916.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.923 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545992916.923 * [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))))) 1545992916.924 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545992916.924 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545992916.924 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.925 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545992916.925 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992916.927 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992916.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992916.928 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.928 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.928 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545992916.929 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992916.930 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545992916.930 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.930 * [misc]backup-simplify: Simplify 0 into 0 1545992916.930 * [misc]backup-simplify: Simplify 0 into 0 1545992916.930 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992916.931 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992916.931 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992916.931 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.934 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992916.934 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992916.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.935 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545992916.936 * [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))))) 1545992916.937 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (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))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545992916.938 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545992916.938 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992916.939 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545992916.939 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545992916.943 * [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 1545992916.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545992916.943 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.944 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992916.944 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545992916.948 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992916.949 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545992916.949 * [misc]taylor: Taking taylor expansion of 0 in k 1545992916.949 * [misc]backup-simplify: Simplify 0 into 0 1545992916.949 * [misc]backup-simplify: Simplify 0 into 0 1545992916.949 * [misc]backup-simplify: Simplify 0 into 0 1545992916.949 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992916.951 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992916.951 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992916.951 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.958 * [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 1545992916.960 * [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 1545992916.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.961 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545992916.964 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1545992916.969 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (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))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545992916.973 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545992916.981 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545992916.982 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1545992916.982 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545992916.982 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.982 * [misc]taylor: Taking taylor expansion of k in k 1545992916.982 * [misc]backup-simplify: Simplify 0 into 0 1545992916.983 * [misc]backup-simplify: Simplify 1 into 1 1545992916.983 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.983 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992916.983 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992916.983 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.983 * [misc]backup-simplify: Simplify 2 into 2 1545992916.983 * [misc]taylor: Taking taylor expansion of n in k 1545992916.983 * [misc]backup-simplify: Simplify n into n 1545992916.983 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992916.983 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992916.983 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.984 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.984 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.984 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992916.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992916.984 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992916.984 * [misc]taylor: Taking taylor expansion of k in k 1545992916.984 * [misc]backup-simplify: Simplify 0 into 0 1545992916.984 * [misc]backup-simplify: Simplify 1 into 1 1545992916.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992916.985 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992916.985 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of k in n 1545992916.985 * [misc]backup-simplify: Simplify k into k 1545992916.985 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.985 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992916.985 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.985 * [misc]backup-simplify: Simplify 2 into 2 1545992916.985 * [misc]taylor: Taking taylor expansion of n in n 1545992916.985 * [misc]backup-simplify: Simplify 0 into 0 1545992916.985 * [misc]backup-simplify: Simplify 1 into 1 1545992916.986 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992916.986 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.986 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.986 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992916.986 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992916.986 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.987 * [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))) 1545992916.987 * [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)))) 1545992916.987 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545992916.987 * [misc]taylor: Taking taylor expansion of k in n 1545992916.987 * [misc]backup-simplify: Simplify k into k 1545992916.987 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545992916.987 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545992916.987 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545992916.987 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992916.987 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992916.987 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992916.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of k in n 1545992916.988 * [misc]backup-simplify: Simplify k into k 1545992916.988 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992916.988 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992916.988 * [misc]taylor: Taking taylor expansion of 2 in n 1545992916.988 * [misc]backup-simplify: Simplify 2 into 2 1545992916.988 * [misc]taylor: Taking taylor expansion of n in n 1545992916.988 * [misc]backup-simplify: Simplify 0 into 0 1545992916.988 * [misc]backup-simplify: Simplify 1 into 1 1545992916.988 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992916.988 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.988 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992916.988 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992916.989 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992916.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.989 * [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))) 1545992916.990 * [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)))) 1545992916.990 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545992916.990 * [misc]taylor: Taking taylor expansion of k in n 1545992916.990 * [misc]backup-simplify: Simplify k into k 1545992916.990 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545992916.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545992916.990 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545992916.990 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545992916.990 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992916.990 * [misc]taylor: Taking taylor expansion of k in k 1545992916.990 * [misc]backup-simplify: Simplify 0 into 0 1545992916.990 * [misc]backup-simplify: Simplify 1 into 1 1545992916.991 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992916.991 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992916.991 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545992916.991 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545992916.991 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992916.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992916.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992916.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992916.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992916.991 * [misc]taylor: Taking taylor expansion of k in k 1545992916.991 * [misc]backup-simplify: Simplify 0 into 0 1545992916.991 * [misc]backup-simplify: Simplify 1 into 1 1545992916.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992916.992 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545992916.992 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992916.992 * [misc]taylor: Taking taylor expansion of 2 in k 1545992916.992 * [misc]backup-simplify: Simplify 2 into 2 1545992916.992 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992916.992 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992916.992 * [misc]taylor: Taking taylor expansion of n in k 1545992916.992 * [misc]backup-simplify: Simplify n into n 1545992916.992 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992916.992 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992916.992 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992916.992 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992916.993 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992916.993 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545992916.993 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545992916.993 * [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)))) 1545992916.994 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545992916.994 * [misc]backup-simplify: Simplify 0 into 0 1545992916.994 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992916.997 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992916.997 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992916.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992916.997 * [misc]backup-simplify: Simplify (- 0) into 0 1545992916.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992916.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992916.998 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992917.000 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.000 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545992917.000 * [misc]taylor: Taking taylor expansion of 0 in k 1545992917.000 * [misc]backup-simplify: Simplify 0 into 0 1545992917.000 * [misc]backup-simplify: Simplify 0 into 0 1545992917.001 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (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)))))) 1545992917.001 * [misc]backup-simplify: Simplify (- (* +nan.0 (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)))))) 1545992917.002 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545992917.002 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.006 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992917.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992917.007 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992917.007 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.008 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545992917.010 * [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 1545992917.011 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545992917.011 * [misc]taylor: Taking taylor expansion of 0 in k 1545992917.011 * [misc]backup-simplify: Simplify 0 into 0 1545992917.011 * [misc]backup-simplify: Simplify 0 into 0 1545992917.011 * [misc]backup-simplify: Simplify 0 into 0 1545992917.012 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992917.013 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (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)))))) 1545992917.013 * [misc]backup-simplify: Simplify (- (* +nan.0 (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)))))) 1545992917.014 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545992917.014 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.022 * [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 1545992917.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992917.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992917.023 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.023 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.024 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545992917.027 * [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 1545992917.028 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545992917.028 * [misc]taylor: Taking taylor expansion of 0 in k 1545992917.028 * [misc]backup-simplify: Simplify 0 into 0 1545992917.028 * [misc]backup-simplify: Simplify 0 into 0 1545992917.028 * [misc]backup-simplify: Simplify 0 into 0 1545992917.028 * [misc]backup-simplify: Simplify 0 into 0 1545992917.029 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992917.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (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)))))) 1545992917.031 * [misc]backup-simplify: Simplify (- (* +nan.0 (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)))))) 1545992917.032 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545992917.033 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545992917.033 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545992917.033 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.033 * [misc]taylor: Taking taylor expansion of k in k 1545992917.033 * [misc]backup-simplify: Simplify 0 into 0 1545992917.033 * [misc]backup-simplify: Simplify 1 into 1 1545992917.034 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.034 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992917.034 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992917.034 * [misc]taylor: Taking taylor expansion of -2 in k 1545992917.034 * [misc]backup-simplify: Simplify -2 into -2 1545992917.034 * [misc]taylor: Taking taylor expansion of n in k 1545992917.034 * [misc]backup-simplify: Simplify n into n 1545992917.034 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992917.034 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992917.034 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.034 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.034 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992917.035 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.035 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992917.035 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992917.035 * [misc]taylor: Taking taylor expansion of -1 in k 1545992917.035 * [misc]backup-simplify: Simplify -1 into -1 1545992917.035 * [misc]taylor: Taking taylor expansion of k in k 1545992917.035 * [misc]backup-simplify: Simplify 0 into 0 1545992917.035 * [misc]backup-simplify: Simplify 1 into 1 1545992917.035 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992917.035 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.036 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992917.036 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545992917.036 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of k in n 1545992917.036 * [misc]backup-simplify: Simplify k into k 1545992917.036 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.036 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.036 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.036 * [misc]backup-simplify: Simplify -2 into -2 1545992917.036 * [misc]taylor: Taking taylor expansion of n in n 1545992917.036 * [misc]backup-simplify: Simplify 0 into 0 1545992917.036 * [misc]backup-simplify: Simplify 1 into 1 1545992917.036 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.036 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.036 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.036 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.037 * [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))) 1545992917.037 * [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)))) 1545992917.037 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992917.037 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992917.037 * [misc]taylor: Taking taylor expansion of -1 in n 1545992917.037 * [misc]backup-simplify: Simplify -1 into -1 1545992917.037 * [misc]taylor: Taking taylor expansion of k in n 1545992917.037 * [misc]backup-simplify: Simplify k into k 1545992917.037 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992917.037 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992917.037 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992917.037 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992917.038 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545992917.038 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of k in n 1545992917.038 * [misc]backup-simplify: Simplify k into k 1545992917.038 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.038 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.038 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.038 * [misc]backup-simplify: Simplify -2 into -2 1545992917.038 * [misc]taylor: Taking taylor expansion of n in n 1545992917.038 * [misc]backup-simplify: Simplify 0 into 0 1545992917.038 * [misc]backup-simplify: Simplify 1 into 1 1545992917.038 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.038 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.038 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.038 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.038 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.039 * [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))) 1545992917.039 * [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)))) 1545992917.039 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992917.039 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992917.039 * [misc]taylor: Taking taylor expansion of -1 in n 1545992917.039 * [misc]backup-simplify: Simplify -1 into -1 1545992917.039 * [misc]taylor: Taking taylor expansion of k in n 1545992917.039 * [misc]backup-simplify: Simplify k into k 1545992917.039 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992917.039 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992917.039 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992917.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992917.039 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545992917.039 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of k in k 1545992917.040 * [misc]backup-simplify: Simplify 0 into 0 1545992917.040 * [misc]backup-simplify: Simplify 1 into 1 1545992917.040 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.040 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.040 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of -2 in k 1545992917.040 * [misc]backup-simplify: Simplify -2 into -2 1545992917.040 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.040 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992917.040 * [misc]taylor: Taking taylor expansion of n in k 1545992917.040 * [misc]backup-simplify: Simplify n into n 1545992917.040 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992917.040 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.040 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.040 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992917.040 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545992917.041 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545992917.041 * [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)))) 1545992917.041 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992917.041 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992917.041 * [misc]taylor: Taking taylor expansion of -1 in k 1545992917.041 * [misc]backup-simplify: Simplify -1 into -1 1545992917.041 * [misc]taylor: Taking taylor expansion of k in k 1545992917.041 * [misc]backup-simplify: Simplify 0 into 0 1545992917.041 * [misc]backup-simplify: Simplify 1 into 1 1545992917.041 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992917.041 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.041 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992917.042 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545992917.042 * [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))))) 1545992917.042 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992917.043 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992917.044 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992917.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.044 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992917.045 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.045 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545992917.045 * [misc]taylor: Taking taylor expansion of 0 in k 1545992917.045 * [misc]backup-simplify: Simplify 0 into 0 1545992917.045 * [misc]backup-simplify: Simplify 0 into 0 1545992917.046 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992917.046 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992917.047 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545992917.047 * [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)))))) 1545992917.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.050 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545992917.050 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992917.050 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992917.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.051 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545992917.052 * [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 1545992917.052 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992917.052 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545992917.053 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545992917.053 * [misc]taylor: Taking taylor expansion of 0 in k 1545992917.053 * [misc]backup-simplify: Simplify 0 into 0 1545992917.053 * [misc]backup-simplify: Simplify 0 into 0 1545992917.053 * [misc]backup-simplify: Simplify 0 into 0 1545992917.053 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.054 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992917.055 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545992917.055 * [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)))))) 1545992917.056 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545992917.056 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545992917.056 * [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))) 1545992917.056 * [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 1545992917.056 * [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 1545992917.056 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545992917.056 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992917.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992917.056 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992917.056 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992917.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.057 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992917.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.057 * [misc]taylor: Taking taylor expansion of k in n 1545992917.057 * [misc]backup-simplify: Simplify k into k 1545992917.057 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992917.057 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992917.057 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.057 * [misc]backup-simplify: Simplify 2 into 2 1545992917.057 * [misc]taylor: Taking taylor expansion of n in n 1545992917.057 * [misc]backup-simplify: Simplify 0 into 0 1545992917.057 * [misc]backup-simplify: Simplify 1 into 1 1545992917.057 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992917.057 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992917.057 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.057 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992917.057 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992917.057 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992917.057 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.058 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992917.058 * [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)))) 1545992917.058 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.058 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.058 * [misc]taylor: Taking taylor expansion of k in n 1545992917.058 * [misc]backup-simplify: Simplify k into k 1545992917.058 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.058 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.058 * [misc]backup-simplify: Simplify PI into PI 1545992917.058 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.058 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992917.058 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992917.058 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992917.059 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545992917.059 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545992917.059 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545992917.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.059 * [misc]taylor: Taking taylor expansion of k in n 1545992917.059 * [misc]backup-simplify: Simplify k into k 1545992917.059 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.059 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545992917.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545992917.059 * [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 1545992917.059 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.059 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.059 * [misc]taylor: Taking taylor expansion of k in k 1545992917.059 * [misc]backup-simplify: Simplify 0 into 0 1545992917.059 * [misc]backup-simplify: Simplify 1 into 1 1545992917.059 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992917.059 * [misc]taylor: Taking taylor expansion of 2 in k 1545992917.060 * [misc]backup-simplify: Simplify 2 into 2 1545992917.060 * [misc]taylor: Taking taylor expansion of n in k 1545992917.060 * [misc]backup-simplify: Simplify n into n 1545992917.060 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992917.060 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992917.060 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992917.060 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.060 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992917.060 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992917.060 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.060 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.060 * [misc]taylor: Taking taylor expansion of k in k 1545992917.060 * [misc]backup-simplify: Simplify 0 into 0 1545992917.060 * [misc]backup-simplify: Simplify 1 into 1 1545992917.060 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.060 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.060 * [misc]backup-simplify: Simplify PI into PI 1545992917.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.061 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992917.061 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.061 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992917.062 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992917.062 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of k in k 1545992917.062 * [misc]backup-simplify: Simplify 0 into 0 1545992917.062 * [misc]backup-simplify: Simplify 1 into 1 1545992917.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.062 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.062 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992917.062 * [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 1545992917.062 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.062 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.062 * [misc]taylor: Taking taylor expansion of k in k 1545992917.062 * [misc]backup-simplify: Simplify 0 into 0 1545992917.062 * [misc]backup-simplify: Simplify 1 into 1 1545992917.062 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992917.062 * [misc]taylor: Taking taylor expansion of 2 in k 1545992917.062 * [misc]backup-simplify: Simplify 2 into 2 1545992917.062 * [misc]taylor: Taking taylor expansion of n in k 1545992917.062 * [misc]backup-simplify: Simplify n into n 1545992917.062 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992917.063 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992917.063 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992917.063 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.063 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992917.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992917.063 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.063 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.063 * [misc]taylor: Taking taylor expansion of k in k 1545992917.063 * [misc]backup-simplify: Simplify 0 into 0 1545992917.063 * [misc]backup-simplify: Simplify 1 into 1 1545992917.063 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.063 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.063 * [misc]backup-simplify: Simplify PI into PI 1545992917.063 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.063 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992917.064 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.064 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992917.065 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992917.065 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545992917.065 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.065 * [misc]taylor: Taking taylor expansion of k in k 1545992917.065 * [misc]backup-simplify: Simplify 0 into 0 1545992917.065 * [misc]backup-simplify: Simplify 1 into 1 1545992917.065 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.065 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992917.065 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545992917.065 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545992917.065 * [misc]taylor: Taking taylor expansion of 0 in n 1545992917.065 * [misc]backup-simplify: Simplify 0 into 0 1545992917.066 * [misc]backup-simplify: Simplify 0 into 0 1545992917.067 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992917.067 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992917.067 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.067 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545992917.070 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545992917.070 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545992917.070 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545992917.071 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992917.071 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.071 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.071 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545992917.071 * [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)))) 1545992917.072 * [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)))))) 1545992917.073 * [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))))) 1545992917.073 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.073 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.073 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.073 * [misc]backup-simplify: Simplify 2 into 2 1545992917.073 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.073 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.073 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992917.073 * [misc]taylor: Taking taylor expansion of n in n 1545992917.073 * [misc]backup-simplify: Simplify 0 into 0 1545992917.073 * [misc]backup-simplify: Simplify 1 into 1 1545992917.073 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.073 * [misc]backup-simplify: Simplify PI into PI 1545992917.074 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992917.074 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992917.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.074 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.074 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545992917.075 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.075 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.075 * [misc]backup-simplify: Simplify 0 into 0 1545992917.075 * [misc]backup-simplify: Simplify 0 into 0 1545992917.075 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992917.076 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992917.078 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545992917.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992917.078 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.079 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545992917.084 * [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))) 1545992917.084 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545992917.086 * [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 1545992917.086 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992917.086 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.087 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545992917.088 * [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))) 1545992917.092 * [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))))))) 1545992917.096 * [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))))))))) 1545992917.096 * [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 1545992917.096 * [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 1545992917.096 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545992917.096 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.096 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.096 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545992917.096 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545992917.096 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.096 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.096 * [misc]backup-simplify: Simplify 2 into 2 1545992917.097 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.097 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.097 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.097 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.097 * [misc]backup-simplify: Simplify PI into PI 1545992917.097 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.097 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.097 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.097 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.097 * [misc]backup-simplify: Simplify PI into PI 1545992917.097 * [misc]taylor: Taking taylor expansion of n in n 1545992917.097 * [misc]backup-simplify: Simplify 0 into 0 1545992917.097 * [misc]backup-simplify: Simplify 1 into 1 1545992917.098 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.098 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.098 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.099 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.099 * [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 1545992917.099 * [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 1545992917.099 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545992917.099 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.099 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.099 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545992917.099 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.099 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.099 * [misc]backup-simplify: Simplify 2 into 2 1545992917.099 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.100 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.100 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545992917.100 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992917.100 * [misc]taylor: Taking taylor expansion of n in n 1545992917.100 * [misc]backup-simplify: Simplify 0 into 0 1545992917.100 * [misc]backup-simplify: Simplify 1 into 1 1545992917.100 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.100 * [misc]backup-simplify: Simplify PI into PI 1545992917.100 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992917.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992917.101 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.101 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.101 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545992917.101 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545992917.101 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.101 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.101 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545992917.101 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545992917.101 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.102 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.102 * [misc]backup-simplify: Simplify 2 into 2 1545992917.102 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.102 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.102 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992917.102 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992917.102 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.102 * [misc]backup-simplify: Simplify 2 into 2 1545992917.102 * [misc]taylor: Taking taylor expansion of n in n 1545992917.102 * [misc]backup-simplify: Simplify 0 into 0 1545992917.102 * [misc]backup-simplify: Simplify 1 into 1 1545992917.102 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992917.103 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992917.103 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.103 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.103 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.103 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.103 * [misc]backup-simplify: Simplify PI into PI 1545992917.103 * [misc]taylor: Taking taylor expansion of n in n 1545992917.103 * [misc]backup-simplify: Simplify 0 into 0 1545992917.103 * [misc]backup-simplify: Simplify 1 into 1 1545992917.103 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.104 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.105 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.106 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545992917.107 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545992917.107 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.107 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545992917.107 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.108 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545992917.108 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545992917.108 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.109 * [misc]backup-simplify: Simplify 0 into 0 1545992917.110 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.112 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.114 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.115 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.115 * [misc]backup-simplify: Simplify 0 into 0 1545992917.115 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.116 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992917.125 * [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 1545992917.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992917.126 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.126 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545992917.135 * [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))) 1545992917.136 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545992917.138 * [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 1545992917.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992917.139 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545992917.141 * [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))) 1545992917.147 * [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))))))))) 1545992917.156 * [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))))))))))))))) 1545992917.156 * [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 1545992917.156 * [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 1545992917.156 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545992917.156 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.156 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.156 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545992917.156 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545992917.156 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.156 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.156 * [misc]backup-simplify: Simplify 2 into 2 1545992917.157 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.157 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.157 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.157 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.157 * [misc]backup-simplify: Simplify PI into PI 1545992917.157 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.157 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.157 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.157 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.157 * [misc]backup-simplify: Simplify PI into PI 1545992917.157 * [misc]taylor: Taking taylor expansion of n in n 1545992917.157 * [misc]backup-simplify: Simplify 0 into 0 1545992917.157 * [misc]backup-simplify: Simplify 1 into 1 1545992917.158 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.158 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.158 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.159 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.159 * [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 1545992917.159 * [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 1545992917.159 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545992917.159 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.159 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.159 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545992917.159 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545992917.159 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.159 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.159 * [misc]backup-simplify: Simplify 2 into 2 1545992917.159 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.160 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.160 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545992917.160 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.160 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.160 * [misc]backup-simplify: Simplify PI into PI 1545992917.160 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.160 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.160 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.160 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.160 * [misc]backup-simplify: Simplify PI into PI 1545992917.160 * [misc]taylor: Taking taylor expansion of n in n 1545992917.160 * [misc]backup-simplify: Simplify 0 into 0 1545992917.160 * [misc]backup-simplify: Simplify 1 into 1 1545992917.160 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.161 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.162 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.162 * [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 1545992917.162 * [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 1545992917.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545992917.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.163 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.163 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.163 * [misc]backup-simplify: Simplify 2 into 2 1545992917.163 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.163 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.163 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992917.163 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.163 * [misc]backup-simplify: Simplify 2 into 2 1545992917.163 * [misc]taylor: Taking taylor expansion of n in n 1545992917.163 * [misc]backup-simplify: Simplify 0 into 0 1545992917.163 * [misc]backup-simplify: Simplify 1 into 1 1545992917.163 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992917.164 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992917.164 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.164 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.164 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.164 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.164 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.164 * [misc]backup-simplify: Simplify PI into PI 1545992917.164 * [misc]taylor: Taking taylor expansion of n in n 1545992917.164 * [misc]backup-simplify: Simplify 0 into 0 1545992917.164 * [misc]backup-simplify: Simplify 1 into 1 1545992917.165 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.165 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.165 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.166 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.166 * [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 1545992917.166 * [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 1545992917.166 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545992917.166 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.166 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.166 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545992917.166 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545992917.166 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.166 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.166 * [misc]backup-simplify: Simplify 2 into 2 1545992917.166 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.167 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.167 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545992917.167 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992917.167 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992917.167 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.167 * [misc]backup-simplify: Simplify 2 into 2 1545992917.167 * [misc]taylor: Taking taylor expansion of n in n 1545992917.167 * [misc]backup-simplify: Simplify 0 into 0 1545992917.167 * [misc]backup-simplify: Simplify 1 into 1 1545992917.167 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992917.167 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992917.167 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.167 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.167 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.167 * [misc]backup-simplify: Simplify PI into PI 1545992917.168 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.168 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545992917.168 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992917.168 * [misc]taylor: Taking taylor expansion of n in n 1545992917.168 * [misc]backup-simplify: Simplify 0 into 0 1545992917.168 * [misc]backup-simplify: Simplify 1 into 1 1545992917.168 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.168 * [misc]backup-simplify: Simplify PI into PI 1545992917.168 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992917.169 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992917.169 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.169 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.169 * [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 1545992917.170 * [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 1545992917.170 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545992917.170 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.170 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.170 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545992917.170 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.170 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.170 * [misc]backup-simplify: Simplify 2 into 2 1545992917.170 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.170 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.170 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545992917.170 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545992917.170 * [misc]taylor: Taking taylor expansion of n in n 1545992917.170 * [misc]backup-simplify: Simplify 0 into 0 1545992917.170 * [misc]backup-simplify: Simplify 1 into 1 1545992917.170 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.170 * [misc]backup-simplify: Simplify PI into PI 1545992917.171 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545992917.171 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545992917.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.172 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.172 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545992917.172 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545992917.172 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.172 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.172 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545992917.172 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545992917.172 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545992917.172 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.172 * [misc]backup-simplify: Simplify 2 into 2 1545992917.172 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545992917.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545992917.173 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992917.173 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992917.173 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.173 * [misc]backup-simplify: Simplify 2 into 2 1545992917.173 * [misc]taylor: Taking taylor expansion of n in n 1545992917.173 * [misc]backup-simplify: Simplify 0 into 0 1545992917.173 * [misc]backup-simplify: Simplify 1 into 1 1545992917.173 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992917.173 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992917.173 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.173 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545992917.173 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545992917.173 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.173 * [misc]backup-simplify: Simplify PI into PI 1545992917.173 * [misc]taylor: Taking taylor expansion of n in n 1545992917.173 * [misc]backup-simplify: Simplify 0 into 0 1545992917.173 * [misc]backup-simplify: Simplify 1 into 1 1545992917.174 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545992917.174 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545992917.174 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.175 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545992917.176 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545992917.177 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545992917.177 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.178 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545992917.179 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545992917.180 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545992917.180 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.180 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.181 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.181 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545992917.182 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545992917.182 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545992917.182 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.182 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.183 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545992917.184 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545992917.184 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545992917.185 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.185 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545992917.185 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.185 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.186 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545992917.186 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545992917.186 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545992917.186 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.188 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.188 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.188 * [misc]backup-simplify: Simplify 0 into 0 1545992917.190 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992917.191 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545992917.193 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545992917.196 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545992917.197 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.199 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545992917.199 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992917.202 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992917.202 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992917.202 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992917.203 * [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)))))) 1545992917.206 * [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)))))) 1545992917.208 * [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)))))) 1545992917.211 * [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))))))) 1545992917.215 * [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))))))) 1545992917.220 * [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))))))))) 1545992917.227 * [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))))))))) 1545992917.231 * [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))))))))) 1545992917.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545992917.233 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545992917.233 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545992917.235 * [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)))) 1545992917.237 * [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)))) 1545992917.238 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545992917.239 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545992917.245 * [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))))))))))))))) 1545992917.245 * [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)) 1545992917.245 * [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 1545992917.245 * [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 1545992917.245 * [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 1545992917.245 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of k in n 1545992917.245 * [misc]backup-simplify: Simplify k into k 1545992917.245 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.245 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.245 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.246 * [misc]backup-simplify: Simplify PI into PI 1545992917.246 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.246 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.246 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.246 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.246 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545992917.246 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.246 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992917.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of k in n 1545992917.247 * [misc]backup-simplify: Simplify k into k 1545992917.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.247 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992917.247 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.247 * [misc]backup-simplify: Simplify 2 into 2 1545992917.247 * [misc]taylor: Taking taylor expansion of n in n 1545992917.247 * [misc]backup-simplify: Simplify 0 into 0 1545992917.247 * [misc]backup-simplify: Simplify 1 into 1 1545992917.247 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992917.247 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.247 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.247 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.247 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.247 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.248 * [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))) 1545992917.248 * [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)))) 1545992917.248 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545992917.248 * [misc]taylor: Taking taylor expansion of k in n 1545992917.248 * [misc]backup-simplify: Simplify k into k 1545992917.248 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545992917.248 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545992917.248 * [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 1545992917.248 * [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 1545992917.248 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of k in k 1545992917.248 * [misc]backup-simplify: Simplify 0 into 0 1545992917.248 * [misc]backup-simplify: Simplify 1 into 1 1545992917.248 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.248 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.248 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.248 * [misc]backup-simplify: Simplify PI into PI 1545992917.249 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.249 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.249 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.249 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.249 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992917.249 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.249 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992917.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992917.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992917.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992917.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.250 * [misc]taylor: Taking taylor expansion of k in k 1545992917.250 * [misc]backup-simplify: Simplify 0 into 0 1545992917.250 * [misc]backup-simplify: Simplify 1 into 1 1545992917.250 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.250 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992917.250 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992917.250 * [misc]taylor: Taking taylor expansion of 2 in k 1545992917.250 * [misc]backup-simplify: Simplify 2 into 2 1545992917.250 * [misc]taylor: Taking taylor expansion of n in k 1545992917.250 * [misc]backup-simplify: Simplify n into n 1545992917.250 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992917.250 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992917.250 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.250 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.250 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.250 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992917.250 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.250 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992917.250 * [misc]taylor: Taking taylor expansion of k in k 1545992917.250 * [misc]backup-simplify: Simplify 0 into 0 1545992917.250 * [misc]backup-simplify: Simplify 1 into 1 1545992917.250 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.251 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992917.251 * [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 1545992917.251 * [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 1545992917.251 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.251 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of k in k 1545992917.251 * [misc]backup-simplify: Simplify 0 into 0 1545992917.251 * [misc]backup-simplify: Simplify 1 into 1 1545992917.251 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.251 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.251 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.251 * [misc]backup-simplify: Simplify PI into PI 1545992917.251 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.252 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.252 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.252 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.252 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992917.253 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.253 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of k in k 1545992917.253 * [misc]backup-simplify: Simplify 0 into 0 1545992917.253 * [misc]backup-simplify: Simplify 1 into 1 1545992917.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.253 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992917.253 * [misc]taylor: Taking taylor expansion of 2 in k 1545992917.253 * [misc]backup-simplify: Simplify 2 into 2 1545992917.253 * [misc]taylor: Taking taylor expansion of n in k 1545992917.254 * [misc]backup-simplify: Simplify n into n 1545992917.254 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992917.254 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992917.254 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.254 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992917.254 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992917.254 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992917.254 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.254 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545992917.254 * [misc]taylor: Taking taylor expansion of k in k 1545992917.255 * [misc]backup-simplify: Simplify 0 into 0 1545992917.255 * [misc]backup-simplify: Simplify 1 into 1 1545992917.255 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.255 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545992917.256 * [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))))) 1545992917.256 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545992917.256 * [misc]taylor: Taking taylor expansion of 0 in n 1545992917.256 * [misc]backup-simplify: Simplify 0 into 0 1545992917.256 * [misc]backup-simplify: Simplify 0 into 0 1545992917.256 * [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 1545992917.257 * [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))))))) 1545992917.257 * [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 1545992917.257 * [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 1545992917.257 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.257 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.257 * [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 1545992917.257 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.257 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of k in n 1545992917.257 * [misc]backup-simplify: Simplify k into k 1545992917.257 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.257 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.257 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.257 * [misc]backup-simplify: Simplify PI into PI 1545992917.258 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.258 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.258 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.258 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.258 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545992917.259 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.259 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.259 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of k in n 1545992917.259 * [misc]backup-simplify: Simplify k into k 1545992917.259 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.259 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992917.259 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.259 * [misc]backup-simplify: Simplify 2 into 2 1545992917.259 * [misc]taylor: Taking taylor expansion of n in n 1545992917.259 * [misc]backup-simplify: Simplify 0 into 0 1545992917.259 * [misc]backup-simplify: Simplify 1 into 1 1545992917.259 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992917.259 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.260 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.260 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.260 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.260 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.260 * [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))) 1545992917.260 * [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)))) 1545992917.261 * [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))))) 1545992917.261 * [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)))))) 1545992917.261 * [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))))))) 1545992917.261 * [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))))))) 1545992917.261 * [misc]backup-simplify: Simplify 0 into 0 1545992917.263 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992917.264 * [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 1545992917.264 * [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))))))) 1545992917.264 * [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 1545992917.264 * [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 1545992917.264 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.264 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.264 * [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 1545992917.264 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.264 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.264 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of k in n 1545992917.264 * [misc]backup-simplify: Simplify k into k 1545992917.264 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.264 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.264 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.264 * [misc]backup-simplify: Simplify PI into PI 1545992917.265 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.265 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.265 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.265 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.265 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545992917.265 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.265 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.265 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.265 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.265 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of k in n 1545992917.265 * [misc]backup-simplify: Simplify k into k 1545992917.265 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.265 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992917.265 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992917.266 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.266 * [misc]backup-simplify: Simplify 2 into 2 1545992917.266 * [misc]taylor: Taking taylor expansion of n in n 1545992917.266 * [misc]backup-simplify: Simplify 0 into 0 1545992917.266 * [misc]backup-simplify: Simplify 1 into 1 1545992917.266 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992917.266 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.266 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.266 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.266 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.266 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.266 * [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))) 1545992917.267 * [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)))) 1545992917.267 * [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))))) 1545992917.267 * [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)))))) 1545992917.268 * [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))))))) 1545992917.268 * [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))))))) 1545992917.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992917.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992917.270 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992917.270 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.270 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.271 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992917.271 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.273 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992917.273 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.273 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992917.273 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.273 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.274 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545992917.275 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.275 * [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 1545992917.275 * [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 1545992917.275 * [misc]backup-simplify: Simplify (- 0) into 0 1545992917.275 * [misc]backup-simplify: Simplify 0 into 0 1545992917.275 * [misc]backup-simplify: Simplify 0 into 0 1545992917.276 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992917.277 * [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 1545992917.277 * [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))))))) 1545992917.277 * [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 1545992917.277 * [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 1545992917.277 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.277 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.277 * [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 1545992917.277 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of k in n 1545992917.277 * [misc]backup-simplify: Simplify k into k 1545992917.277 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.277 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.277 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.277 * [misc]backup-simplify: Simplify PI into PI 1545992917.278 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.278 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.278 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.278 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545992917.278 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992917.278 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992917.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992917.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992917.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992917.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.279 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.279 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.279 * [misc]taylor: Taking taylor expansion of k in n 1545992917.279 * [misc]backup-simplify: Simplify k into k 1545992917.279 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.279 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992917.279 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992917.279 * [misc]taylor: Taking taylor expansion of 2 in n 1545992917.279 * [misc]backup-simplify: Simplify 2 into 2 1545992917.279 * [misc]taylor: Taking taylor expansion of n in n 1545992917.279 * [misc]backup-simplify: Simplify 0 into 0 1545992917.279 * [misc]backup-simplify: Simplify 1 into 1 1545992917.279 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992917.279 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992917.279 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.279 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992917.279 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992917.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992917.280 * [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))) 1545992917.280 * [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)))) 1545992917.280 * [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))))) 1545992917.280 * [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)))))) 1545992917.281 * [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))))))) 1545992917.281 * [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))))))) 1545992917.282 * [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)))))))) 1545992917.283 * [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))) 1545992917.283 * [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 1545992917.283 * [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 1545992917.283 * [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 1545992917.283 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of k in n 1545992917.283 * [misc]backup-simplify: Simplify k into k 1545992917.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.283 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.283 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.283 * [misc]backup-simplify: Simplify -2 into -2 1545992917.283 * [misc]taylor: Taking taylor expansion of n in n 1545992917.283 * [misc]backup-simplify: Simplify 0 into 0 1545992917.283 * [misc]backup-simplify: Simplify 1 into 1 1545992917.283 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.283 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.283 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.284 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.284 * [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))) 1545992917.284 * [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)))) 1545992917.284 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of k in n 1545992917.284 * [misc]backup-simplify: Simplify k into k 1545992917.284 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.284 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.284 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.284 * [misc]backup-simplify: Simplify PI into PI 1545992917.284 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.285 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.285 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.285 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545992917.285 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992917.285 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992917.285 * [misc]taylor: Taking taylor expansion of -1 in n 1545992917.285 * [misc]backup-simplify: Simplify -1 into -1 1545992917.285 * [misc]taylor: Taking taylor expansion of k in n 1545992917.285 * [misc]backup-simplify: Simplify k into k 1545992917.285 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992917.285 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992917.285 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992917.285 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992917.286 * [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))) 1545992917.286 * [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))) 1545992917.286 * [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 1545992917.286 * [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 1545992917.286 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of k in k 1545992917.286 * [misc]backup-simplify: Simplify 0 into 0 1545992917.286 * [misc]backup-simplify: Simplify 1 into 1 1545992917.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.286 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992917.286 * [misc]taylor: Taking taylor expansion of -2 in k 1545992917.286 * [misc]backup-simplify: Simplify -2 into -2 1545992917.286 * [misc]taylor: Taking taylor expansion of n in k 1545992917.286 * [misc]backup-simplify: Simplify n into n 1545992917.286 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992917.286 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992917.287 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.287 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.287 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992917.287 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.287 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of k in k 1545992917.287 * [misc]backup-simplify: Simplify 0 into 0 1545992917.287 * [misc]backup-simplify: Simplify 1 into 1 1545992917.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.287 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.287 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.287 * [misc]backup-simplify: Simplify PI into PI 1545992917.287 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.288 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.288 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992917.288 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.288 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992917.288 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992917.288 * [misc]taylor: Taking taylor expansion of -1 in k 1545992917.288 * [misc]backup-simplify: Simplify -1 into -1 1545992917.288 * [misc]taylor: Taking taylor expansion of k in k 1545992917.288 * [misc]backup-simplify: Simplify 0 into 0 1545992917.288 * [misc]backup-simplify: Simplify 1 into 1 1545992917.288 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992917.288 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.289 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992917.289 * [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))) 1545992917.289 * [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)))) 1545992917.289 * [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 1545992917.289 * [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 1545992917.289 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.289 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of k in k 1545992917.289 * [misc]backup-simplify: Simplify 0 into 0 1545992917.289 * [misc]backup-simplify: Simplify 1 into 1 1545992917.289 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.289 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992917.289 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of -2 in k 1545992917.290 * [misc]backup-simplify: Simplify -2 into -2 1545992917.290 * [misc]taylor: Taking taylor expansion of n in k 1545992917.290 * [misc]backup-simplify: Simplify n into n 1545992917.290 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992917.290 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992917.290 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.290 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.290 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992917.290 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.290 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of k in k 1545992917.290 * [misc]backup-simplify: Simplify 0 into 0 1545992917.290 * [misc]backup-simplify: Simplify 1 into 1 1545992917.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992917.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992917.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.290 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992917.290 * [misc]taylor: Taking taylor expansion of PI in k 1545992917.290 * [misc]backup-simplify: Simplify PI into PI 1545992917.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.291 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992917.291 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992917.291 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992917.291 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.291 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992917.291 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992917.291 * [misc]taylor: Taking taylor expansion of -1 in k 1545992917.291 * [misc]backup-simplify: Simplify -1 into -1 1545992917.291 * [misc]taylor: Taking taylor expansion of k in k 1545992917.291 * [misc]backup-simplify: Simplify 0 into 0 1545992917.291 * [misc]backup-simplify: Simplify 1 into 1 1545992917.292 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992917.292 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992917.292 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992917.292 * [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))) 1545992917.292 * [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)))) 1545992917.292 * [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 1545992917.292 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.292 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.292 * [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 1545992917.292 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.292 * [misc]taylor: Taking taylor expansion of k in n 1545992917.293 * [misc]backup-simplify: Simplify k into k 1545992917.293 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.293 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.293 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.293 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.293 * [misc]backup-simplify: Simplify -2 into -2 1545992917.293 * [misc]taylor: Taking taylor expansion of n in n 1545992917.293 * [misc]backup-simplify: Simplify 0 into 0 1545992917.293 * [misc]backup-simplify: Simplify 1 into 1 1545992917.293 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.293 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.293 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.293 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.293 * [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))) 1545992917.294 * [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)))) 1545992917.294 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.294 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of k in n 1545992917.294 * [misc]backup-simplify: Simplify k into k 1545992917.294 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.294 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.294 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.294 * [misc]backup-simplify: Simplify PI into PI 1545992917.294 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.294 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.294 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.294 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545992917.295 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.295 * [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))) 1545992917.295 * [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)))) 1545992917.296 * [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)))) 1545992917.296 * [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 1545992917.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992917.297 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992917.297 * [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))))) 1545992917.297 * [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 1545992917.297 * [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 1545992917.297 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.297 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.297 * [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 1545992917.297 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.297 * [misc]taylor: Taking taylor expansion of k in n 1545992917.297 * [misc]backup-simplify: Simplify k into k 1545992917.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.298 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.298 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.298 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.298 * [misc]backup-simplify: Simplify -2 into -2 1545992917.298 * [misc]taylor: Taking taylor expansion of n in n 1545992917.298 * [misc]backup-simplify: Simplify 0 into 0 1545992917.298 * [misc]backup-simplify: Simplify 1 into 1 1545992917.298 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.298 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.298 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.298 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.298 * [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))) 1545992917.299 * [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)))) 1545992917.299 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of k in n 1545992917.299 * [misc]backup-simplify: Simplify k into k 1545992917.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.299 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.299 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.299 * [misc]backup-simplify: Simplify PI into PI 1545992917.299 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.299 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.299 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.300 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545992917.300 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.300 * [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))) 1545992917.301 * [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)))) 1545992917.301 * [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))))) 1545992917.302 * [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))))) 1545992917.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992917.304 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992917.305 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.305 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545992917.307 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.307 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992917.309 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992917.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992917.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992917.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992917.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.311 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992917.312 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992917.312 * [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 1545992917.313 * [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 1545992917.313 * [misc]backup-simplify: Simplify 0 into 0 1545992917.314 * [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 1545992917.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992917.315 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992917.316 * [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))))) 1545992917.316 * [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 1545992917.316 * [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 1545992917.316 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545992917.316 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545992917.316 * [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 1545992917.316 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of k in n 1545992917.316 * [misc]backup-simplify: Simplify k into k 1545992917.316 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.316 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992917.316 * [misc]taylor: Taking taylor expansion of -2 in n 1545992917.316 * [misc]backup-simplify: Simplify -2 into -2 1545992917.316 * [misc]taylor: Taking taylor expansion of n in n 1545992917.316 * [misc]backup-simplify: Simplify 0 into 0 1545992917.316 * [misc]backup-simplify: Simplify 1 into 1 1545992917.316 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992917.317 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992917.317 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.317 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.317 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992917.317 * [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))) 1545992917.317 * [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)))) 1545992917.317 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.317 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992917.317 * [misc]taylor: Taking taylor expansion of k in n 1545992917.317 * [misc]backup-simplify: Simplify k into k 1545992917.318 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992917.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992917.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992917.318 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545992917.318 * [misc]taylor: Taking taylor expansion of PI in n 1545992917.318 * [misc]backup-simplify: Simplify PI into PI 1545992917.318 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992917.318 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992917.318 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992917.318 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545992917.318 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992917.319 * [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))) 1545992917.319 * [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)))) 1545992917.319 * [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))))) 1545992917.319 * [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))))) 1545992917.321 * [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)))))))) 1545992917.321 * * * [misc]progress: simplifying candidates 1545992917.321 * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # 1545992917.321 * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # 1545992917.321 * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # 1545992917.321 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992917.321 * * [misc]simplify: iters left: 6 (9 enodes) 1545992917.323 * * [misc]simplify: iters left: 5 (16 enodes) 1545992917.326 * * [misc]simplify: iters left: 4 (32 enodes) 1545992917.332 * * [misc]simplify: iters left: 3 (72 enodes) 1545992917.352 * * [misc]simplify: iters left: 2 (195 enodes) 1545992917.408 * * [misc]simplify: iters left: 1 (418 enodes) 1545992917.611 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992917.611 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545992917.611 * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # 1545992917.611 * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # 1545992917.611 * [enter]simplify: Simplifying (* n 2) 1545992917.611 * * [misc]simplify: iters left: 2 (3 enodes) 1545992917.612 * * [misc]simplify: iters left: 1 (4 enodes) 1545992917.614 * [exit]simplify: Simplified to (* n 2) 1545992917.614 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1545992917.614 * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # 1545992917.614 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545992917.614 * * [misc]simplify: iters left: 3 (6 enodes) 1545992917.616 * * [misc]simplify: iters left: 2 (7 enodes) 1545992917.618 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545992917.618 * [misc]simplify: Simplified (2 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)))) 1545992917.618 * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # 1545992917.618 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992917.618 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.620 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.621 * * [misc]simplify: iters left: 3 (11 enodes) 1545992917.622 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992917.622 * [misc]simplify: Simplified (2 2 1 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)))) 1545992917.622 * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # 1545992917.623 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992917.623 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.624 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.625 * * [misc]simplify: iters left: 3 (11 enodes) 1545992917.626 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992917.626 * [misc]simplify: Simplified (2 2 1 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)))) 1545992917.626 * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # 1545992917.626 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992917.626 * * [misc]simplify: iters left: 4 (5 enodes) 1545992917.627 * * [misc]simplify: iters left: 3 (7 enodes) 1545992917.628 * * [misc]simplify: iters left: 2 (10 enodes) 1545992917.630 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992917.630 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1545992917.630 * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # 1545992917.630 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992917.630 * * [misc]simplify: iters left: 5 (7 enodes) 1545992917.633 * * [misc]simplify: iters left: 4 (10 enodes) 1545992917.635 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992917.635 * [misc]simplify: Simplified (2 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)))) 1545992917.635 * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # 1545992917.635 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992917.635 * * [misc]simplify: iters left: 5 (7 enodes) 1545992917.636 * * [misc]simplify: iters left: 4 (10 enodes) 1545992917.638 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992917.638 * [misc]simplify: Simplified (2 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)))) 1545992917.638 * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # 1545992917.638 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545992917.638 * * [misc]simplify: iters left: 5 (7 enodes) 1545992917.639 * * [misc]simplify: iters left: 4 (9 enodes) 1545992917.640 * * [misc]simplify: iters left: 3 (12 enodes) 1545992917.642 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545992917.642 * [misc]simplify: Simplified (2 2 1 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)))) 1545992917.642 * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # 1545992917.642 * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # 1545992917.642 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545992917.642 * * [misc]simplify: iters left: 3 (5 enodes) 1545992917.643 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545992917.643 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992917.643 * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # 1545992917.643 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992917.643 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.644 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.645 * * [misc]simplify: iters left: 3 (11 enodes) 1545992917.647 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992917.647 * [misc]simplify: Simplified (2 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)))) 1545992917.647 * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # 1545992917.647 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992917.647 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.649 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.651 * * [misc]simplify: iters left: 3 (11 enodes) 1545992917.653 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992917.653 * [misc]simplify: Simplified (2 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)))) 1545992917.653 * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # 1545992917.653 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992917.653 * * [misc]simplify: iters left: 4 (5 enodes) 1545992917.654 * * [misc]simplify: iters left: 3 (7 enodes) 1545992917.655 * * [misc]simplify: iters left: 2 (10 enodes) 1545992917.656 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992917.656 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992917.656 * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # 1545992917.656 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545992917.656 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.657 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.658 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545992917.658 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992917.659 * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # 1545992917.659 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545992917.659 * * [misc]simplify: iters left: 5 (6 enodes) 1545992917.660 * * [misc]simplify: iters left: 4 (8 enodes) 1545992917.661 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545992917.661 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992917.661 * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # 1545992917.661 * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # 1545992917.661 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992917.661 * * [misc]simplify: iters left: 6 (12 enodes) 1545992917.664 * * [misc]simplify: iters left: 5 (22 enodes) 1545992917.668 * * [misc]simplify: iters left: 4 (40 enodes) 1545992917.677 * * [misc]simplify: iters left: 3 (104 enodes) 1545992917.723 * * [misc]simplify: iters left: 2 (334 enodes) 1545992917.887 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992917.887 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545992917.888 * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # 1545992917.888 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992917.888 * * [misc]simplify: iters left: 6 (12 enodes) 1545992917.890 * * [misc]simplify: iters left: 5 (22 enodes) 1545992917.897 * * [misc]simplify: iters left: 4 (40 enodes) 1545992917.906 * * [misc]simplify: iters left: 3 (104 enodes) 1545992917.963 * * [misc]simplify: iters left: 2 (334 enodes) 1545992918.119 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992918.119 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545992918.119 * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # 1545992918.119 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545992918.119 * * [misc]simplify: iters left: 6 (12 enodes) 1545992918.123 * * [misc]simplify: iters left: 5 (19 enodes) 1545992918.130 * * [misc]simplify: iters left: 4 (29 enodes) 1545992918.138 * * [misc]simplify: iters left: 3 (46 enodes) 1545992918.161 * * [misc]simplify: iters left: 2 (134 enodes) 1545992918.243 * * [misc]simplify: iters left: 1 (437 enodes) 1545992918.532 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545992918.532 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545992918.532 * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # 1545992918.533 * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # 1545992918.533 * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # 1545992918.533 * [enter]simplify: Simplifying (/ (* (* (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))) 1545992918.533 * * [misc]simplify: iters left: 6 (14 enodes) 1545992918.538 * * [misc]simplify: iters left: 5 (26 enodes) 1545992918.545 * * [misc]simplify: iters left: 4 (57 enodes) 1545992918.569 * * [misc]simplify: iters left: 3 (112 enodes) 1545992918.599 * * [misc]simplify: iters left: 2 (189 enodes) 1545992918.647 * * [misc]simplify: iters left: 1 (316 enodes) 1545992918.802 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545992918.802 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545992918.802 * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # 1545992918.802 * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # 1545992918.802 * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # 1545992918.802 * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # 1545992918.802 * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # 1545992918.802 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.802 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.804 * * [misc]simplify: iters left: 5 (14 enodes) 1545992918.806 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545992918.806 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545992918.806 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.807 * * [misc]simplify: iters left: 5 (13 enodes) 1545992918.809 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545992918.809 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545992918.809 * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # 1545992918.809 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545992918.810 * * [misc]simplify: iters left: 5 (9 enodes) 1545992918.811 * * [misc]simplify: iters left: 4 (11 enodes) 1545992918.812 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545992918.812 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545992918.812 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545992918.813 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.814 * * [misc]simplify: iters left: 5 (13 enodes) 1545992918.816 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545992918.816 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545992918.816 * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # 1545992918.816 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545992918.816 * * [misc]simplify: iters left: 5 (7 enodes) 1545992918.817 * * [misc]simplify: iters left: 4 (11 enodes) 1545992918.819 * * [misc]simplify: iters left: 3 (13 enodes) 1545992918.821 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545992918.821 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545992918.821 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992918.821 * * [misc]simplify: iters left: 6 (9 enodes) 1545992918.822 * * [misc]simplify: iters left: 5 (12 enodes) 1545992918.824 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992918.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545992918.824 * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # 1545992918.824 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.824 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.826 * * [misc]simplify: iters left: 5 (14 enodes) 1545992918.828 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.828 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545992918.828 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545992918.828 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.830 * * [misc]simplify: iters left: 5 (13 enodes) 1545992918.831 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545992918.831 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545992918.832 * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # 1545992918.832 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545992918.832 * * [misc]simplify: iters left: 5 (9 enodes) 1545992918.833 * * [misc]simplify: iters left: 4 (11 enodes) 1545992918.835 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545992918.835 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545992918.835 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545992918.835 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.836 * * [misc]simplify: iters left: 5 (13 enodes) 1545992918.838 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545992918.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545992918.838 * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # 1545992918.838 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545992918.838 * * [misc]simplify: iters left: 5 (7 enodes) 1545992918.840 * * [misc]simplify: iters left: 4 (11 enodes) 1545992918.841 * * [misc]simplify: iters left: 3 (13 enodes) 1545992918.843 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545992918.843 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545992918.843 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992918.843 * * [misc]simplify: iters left: 6 (9 enodes) 1545992918.844 * * [misc]simplify: iters left: 5 (12 enodes) 1545992918.846 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992918.846 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545992918.846 * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # 1545992918.847 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.847 * * [misc]simplify: iters left: 6 (11 enodes) 1545992918.848 * * [misc]simplify: iters left: 5 (15 enodes) 1545992918.851 * * [misc]simplify: iters left: 4 (18 enodes) 1545992918.854 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545992918.856 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992918.856 * * [misc]simplify: iters left: 6 (9 enodes) 1545992918.857 * * [misc]simplify: iters left: 5 (11 enodes) 1545992918.859 * * [misc]simplify: iters left: 4 (14 enodes) 1545992918.862 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992918.862 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545992918.863 * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # 1545992918.863 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992918.863 * * [misc]simplify: iters left: 6 (10 enodes) 1545992918.866 * * [misc]simplify: iters left: 5 (12 enodes) 1545992918.870 * * [misc]simplify: iters left: 4 (15 enodes) 1545992918.874 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992918.874 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545992918.875 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992918.875 * * [misc]simplify: iters left: 6 (9 enodes) 1545992918.878 * * [misc]simplify: iters left: 5 (11 enodes) 1545992918.881 * * [misc]simplify: iters left: 4 (14 enodes) 1545992918.885 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992918.885 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545992918.885 * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # 1545992918.885 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545992918.885 * * [misc]simplify: iters left: 6 (9 enodes) 1545992918.888 * * [misc]simplify: iters left: 5 (13 enodes) 1545992918.893 * * [misc]simplify: iters left: 4 (18 enodes) 1545992918.897 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545992918.897 * [misc]simplify: Simplified (2 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))))) 1545992918.898 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545992918.898 * * [misc]simplify: iters left: 6 (8 enodes) 1545992918.900 * * [misc]simplify: iters left: 5 (10 enodes) 1545992918.903 * * [misc]simplify: iters left: 4 (13 enodes) 1545992918.907 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545992918.907 * [misc]simplify: Simplified (2 2 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))))) 1545992918.907 * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # 1545992918.907 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992918.907 * * [misc]simplify: iters left: 6 (14 enodes) 1545992918.912 * * [misc]simplify: iters left: 5 (23 enodes) 1545992918.919 * * [misc]simplify: iters left: 4 (35 enodes) 1545992918.930 * * [misc]simplify: iters left: 3 (38 enodes) 1545992918.940 * * [misc]simplify: iters left: 2 (41 enodes) 1545992918.951 * [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)))) 1545992918.951 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (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)))) (cbrt (sqrt k)))))) 1545992918.952 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992918.952 * * [misc]simplify: iters left: 6 (12 enodes) 1545992918.953 * * [misc]simplify: iters left: 5 (15 enodes) 1545992918.956 * * [misc]simplify: iters left: 4 (18 enodes) 1545992918.958 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992918.958 * [misc]simplify: Simplified (2 2 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 (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545992918.958 * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # 1545992918.958 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545992918.958 * * [misc]simplify: iters left: 6 (13 enodes) 1545992918.960 * * [misc]simplify: iters left: 5 (18 enodes) 1545992918.963 * * [misc]simplify: iters left: 4 (23 enodes) 1545992918.966 * * [misc]simplify: iters left: 3 (24 enodes) 1545992918.969 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992918.970 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 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)))))) 1545992918.970 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992918.970 * * [misc]simplify: iters left: 6 (12 enodes) 1545992918.971 * * [misc]simplify: iters left: 5 (15 enodes) 1545992918.973 * * [misc]simplify: iters left: 4 (18 enodes) 1545992918.976 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992918.976 * [misc]simplify: Simplified (2 2 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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545992918.976 * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # 1545992918.976 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545992918.976 * * [misc]simplify: iters left: 6 (12 enodes) 1545992918.979 * * [misc]simplify: iters left: 5 (19 enodes) 1545992918.982 * * [misc]simplify: iters left: 4 (28 enodes) 1545992918.986 * * [misc]simplify: iters left: 3 (42 enodes) 1545992918.997 * * [misc]simplify: iters left: 2 (68 enodes) 1545992919.015 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992919.015 * [misc]simplify: Simplified (2 2 1) 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))))) 1545992919.016 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992919.016 * * [misc]simplify: iters left: 6 (11 enodes) 1545992919.019 * * [misc]simplify: iters left: 5 (14 enodes) 1545992919.023 * * [misc]simplify: iters left: 4 (17 enodes) 1545992919.029 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992919.029 * [misc]simplify: Simplified (2 2 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))))) 1545992919.029 * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # 1545992919.029 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992919.030 * * [misc]simplify: iters left: 6 (13 enodes) 1545992919.033 * * [misc]simplify: iters left: 5 (18 enodes) 1545992919.039 * * [misc]simplify: iters left: 4 (21 enodes) 1545992919.045 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992919.045 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545992919.046 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992919.046 * * [misc]simplify: iters left: 6 (12 enodes) 1545992919.050 * * [misc]simplify: iters left: 5 (15 enodes) 1545992919.054 * * [misc]simplify: iters left: 4 (18 enodes) 1545992919.060 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992919.060 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545992919.060 * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # 1545992919.061 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992919.061 * * [misc]simplify: iters left: 6 (12 enodes) 1545992919.064 * * [misc]simplify: iters left: 5 (15 enodes) 1545992919.068 * * [misc]simplify: iters left: 4 (18 enodes) 1545992919.074 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992919.074 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545992919.074 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992919.074 * * [misc]simplify: iters left: 6 (12 enodes) 1545992919.076 * * [misc]simplify: iters left: 5 (15 enodes) 1545992919.078 * * [misc]simplify: iters left: 4 (18 enodes) 1545992919.081 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992919.081 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545992919.081 * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # 1545992919.081 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545992919.081 * * [misc]simplify: iters left: 6 (11 enodes) 1545992919.083 * * [misc]simplify: iters left: 5 (16 enodes) 1545992919.086 * * [misc]simplify: iters left: 4 (21 enodes) 1545992919.088 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992919.088 * [misc]simplify: Simplified (2 2 1) 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))))) 1545992919.088 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992919.088 * * [misc]simplify: iters left: 6 (11 enodes) 1545992919.090 * * [misc]simplify: iters left: 5 (14 enodes) 1545992919.092 * * [misc]simplify: iters left: 4 (17 enodes) 1545992919.094 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992919.094 * [misc]simplify: Simplified (2 2 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))))) 1545992919.094 * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # 1545992919.094 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545992919.094 * * [misc]simplify: iters left: 6 (6 enodes) 1545992919.095 * * [misc]simplify: iters left: 5 (10 enodes) 1545992919.097 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545992919.097 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545992919.097 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992919.097 * * [misc]simplify: iters left: 6 (11 enodes) 1545992919.098 * * [misc]simplify: iters left: 5 (14 enodes) 1545992919.101 * * [misc]simplify: iters left: 4 (17 enodes) 1545992919.104 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992919.104 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545992919.104 * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # 1545992919.104 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545992919.104 * * [misc]simplify: iters left: 4 (5 enodes) 1545992919.105 * * [misc]simplify: iters left: 3 (7 enodes) 1545992919.105 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545992919.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545992919.106 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992919.106 * * [misc]simplify: iters left: 6 (11 enodes) 1545992919.107 * * [misc]simplify: iters left: 5 (14 enodes) 1545992919.109 * * [misc]simplify: iters left: 4 (17 enodes) 1545992919.112 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992919.112 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545992919.112 * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # 1545992919.112 * [enter]simplify: Simplifying (/ 1 1) 1545992919.112 * * [misc]simplify: iters left: 2 (2 enodes) 1545992919.112 * * [misc]simplify: iters left: 1 (4 enodes) 1545992919.113 * [exit]simplify: Simplified to 1 1545992919.113 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992919.113 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992919.113 * * [misc]simplify: iters left: 6 (10 enodes) 1545992919.114 * * [misc]simplify: iters left: 5 (13 enodes) 1545992919.116 * * [misc]simplify: iters left: 4 (16 enodes) 1545992919.118 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992919.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992919.118 * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # 1545992919.118 * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # 1545992919.118 * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # 1545992919.118 * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # 1545992919.119 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545992919.119 * * [misc]simplify: iters left: 2 (3 enodes) 1545992919.119 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545992919.119 * [misc]simplify: Simplified (2 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))))) 1545992919.119 * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # 1545992919.119 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545992919.119 * * [misc]simplify: iters left: 2 (3 enodes) 1545992919.120 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545992919.120 * [misc]simplify: Simplified (2 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))))) 1545992919.120 * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # 1545992919.120 * [enter]simplify: Simplifying (sqrt k) 1545992919.120 * * [misc]simplify: iters left: 1 (2 enodes) 1545992919.120 * [exit]simplify: Simplified to (sqrt k) 1545992919.120 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1545992919.120 * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # 1545992919.120 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545992919.121 * * [misc]simplify: iters left: 3 (5 enodes) 1545992919.121 * * [misc]simplify: iters left: 2 (7 enodes) 1545992919.122 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545992919.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545992919.122 * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # 1545992919.122 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545992919.122 * * [misc]simplify: iters left: 3 (5 enodes) 1545992919.123 * * [misc]simplify: iters left: 2 (7 enodes) 1545992919.124 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545992919.124 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545992919.124 * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # 1545992919.124 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545992919.124 * * [misc]simplify: iters left: 5 (7 enodes) 1545992919.125 * * [misc]simplify: iters left: 4 (9 enodes) 1545992919.126 * * [misc]simplify: iters left: 3 (12 enodes) 1545992919.128 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545992919.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545992919.128 * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # 1545992919.128 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992919.128 * * [misc]simplify: iters left: 6 (10 enodes) 1545992919.130 * * [misc]simplify: iters left: 5 (13 enodes) 1545992919.132 * * [misc]simplify: iters left: 4 (16 enodes) 1545992919.134 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992919.134 * [misc]simplify: Simplified (2 2 1) 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))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545992919.134 * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # 1545992919.134 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992919.134 * * [misc]simplify: iters left: 6 (9 enodes) 1545992919.136 * * [misc]simplify: iters left: 5 (12 enodes) 1545992919.137 * * [misc]simplify: iters left: 4 (15 enodes) 1545992919.139 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992919.139 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545992919.139 * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # 1545992919.139 * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # 1545992919.140 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545992919.140 * * [misc]simplify: iters left: 3 (5 enodes) 1545992919.140 * * [misc]simplify: iters left: 2 (7 enodes) 1545992919.141 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545992919.141 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1545992919.141 * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # 1545992919.141 * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # 1545992919.141 * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # 1545992919.141 * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # 1545992919.142 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545992919.142 * * [misc]simplify: iters left: 6 (16 enodes) 1545992919.145 * * [misc]simplify: iters left: 5 (31 enodes) 1545992919.150 * * [misc]simplify: iters left: 4 (66 enodes) 1545992919.167 * * [misc]simplify: iters left: 3 (212 enodes) 1545992919.297 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545992919.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545992919.297 * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # 1545992919.297 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545992919.297 * * [misc]simplify: iters left: 6 (16 enodes) 1545992919.300 * * [misc]simplify: iters left: 5 (31 enodes) 1545992919.306 * * [misc]simplify: iters left: 4 (66 enodes) 1545992919.329 * * [misc]simplify: iters left: 3 (212 enodes) 1545992919.472 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545992919.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545992919.472 * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # 1545992919.477 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545992919.477 * * [misc]simplify: iters left: 6 (16 enodes) 1545992919.482 * * [misc]simplify: iters left: 5 (28 enodes) 1545992919.492 * * [misc]simplify: iters left: 4 (55 enodes) 1545992919.515 * * [misc]simplify: iters left: 3 (129 enodes) 1545992919.591 * * [misc]simplify: iters left: 2 (441 enodes) 1545992920.086 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545992920.086 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545992920.087 * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # 1545992920.087 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992920.087 * * [misc]simplify: iters left: 6 (15 enodes) 1545992920.092 * * [misc]simplify: iters left: 5 (24 enodes) 1545992920.100 * * [misc]simplify: iters left: 4 (42 enodes) 1545992920.109 * * [misc]simplify: iters left: 3 (90 enodes) 1545992920.130 * * [misc]simplify: iters left: 2 (207 enodes) 1545992920.244 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545992920.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545992920.245 * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # 1545992920.245 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545992920.245 * * [misc]simplify: iters left: 6 (16 enodes) 1545992920.248 * * [misc]simplify: iters left: 5 (31 enodes) 1545992920.254 * * [misc]simplify: iters left: 4 (60 enodes) 1545992920.269 * * [misc]simplify: iters left: 3 (180 enodes) 1545992920.400 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545992920.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545992920.400 * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # 1545992920.400 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545992920.400 * * [misc]simplify: iters left: 6 (16 enodes) 1545992920.403 * * [misc]simplify: iters left: 5 (31 enodes) 1545992920.409 * * [misc]simplify: iters left: 4 (60 enodes) 1545992920.437 * * [misc]simplify: iters left: 3 (180 enodes) 1545992920.552 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545992920.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545992920.553 * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # 1545992920.553 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545992920.553 * * [misc]simplify: iters left: 6 (16 enodes) 1545992920.558 * * [misc]simplify: iters left: 5 (28 enodes) 1545992920.568 * * [misc]simplify: iters left: 4 (49 enodes) 1545992920.581 * * [misc]simplify: iters left: 3 (97 enodes) 1545992920.624 * * [misc]simplify: iters left: 2 (353 enodes) 1545992920.976 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1545992920.977 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1545992920.977 * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # 1545992920.977 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992920.977 * * [misc]simplify: iters left: 6 (15 enodes) 1545992920.979 * * [misc]simplify: iters left: 5 (24 enodes) 1545992920.983 * * [misc]simplify: iters left: 4 (37 enodes) 1545992920.989 * * [misc]simplify: iters left: 3 (66 enodes) 1545992921.008 * * [misc]simplify: iters left: 2 (180 enodes) 1545992921.108 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))) 1545992921.109 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))))) 1545992921.109 * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # 1545992921.109 * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # 1545992921.109 * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # 1545992921.109 * [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)))) 1545992921.109 * * [misc]simplify: iters left: 6 (19 enodes) 1545992921.117 * * [misc]simplify: iters left: 5 (37 enodes) 1545992921.127 * * [misc]simplify: iters left: 4 (114 enodes) 1545992921.171 * * [misc]simplify: iters left: 3 (443 enodes) 1545992921.610 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 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))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545992921.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 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))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545992921.610 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # 1545992921.611 * [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))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992921.611 * * [misc]simplify: iters left: 6 (17 enodes) 1545992921.617 * * [misc]simplify: iters left: 5 (33 enodes) 1545992921.629 * * [misc]simplify: iters left: 4 (87 enodes) 1545992921.669 * * [misc]simplify: iters left: 3 (222 enodes) 1545992921.791 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 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)))))) 1545992921.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 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)))))))) 1545992921.791 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # 1545992921.791 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # 1545992921.791 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # 1545992921.792 * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # 1545992921.792 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545992921.792 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.798 * * [misc]simplify: iters left: 5 (16 enodes) 1545992921.802 * * [misc]simplify: iters left: 4 (19 enodes) 1545992921.807 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545992921.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545992921.808 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1545992921.808 * * [misc]simplify: iters left: 5 (7 enodes) 1545992921.810 * * [misc]simplify: iters left: 4 (8 enodes) 1545992921.812 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1545992921.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545992921.813 * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # 1545992921.813 * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # 1545992921.813 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992921.813 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.816 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.820 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.825 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992921.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992921.826 * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # 1545992921.826 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992921.826 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.829 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.834 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.839 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992921.839 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992921.839 * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # 1545992921.839 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545992921.839 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.842 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.846 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545992921.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545992921.847 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # 1545992921.847 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545992921.847 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.850 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.854 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545992921.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545992921.854 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # 1545992921.854 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992921.854 * * [misc]simplify: iters left: 6 (9 enodes) 1545992921.857 * * [misc]simplify: iters left: 5 (12 enodes) 1545992921.861 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992921.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545992921.861 * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # 1545992921.862 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545992921.862 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.865 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.868 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545992921.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545992921.868 * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # 1545992921.869 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545992921.869 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.871 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.875 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545992921.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545992921.875 * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # 1545992921.875 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992921.875 * * [misc]simplify: iters left: 6 (9 enodes) 1545992921.878 * * [misc]simplify: iters left: 5 (12 enodes) 1545992921.880 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545992921.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545992921.880 * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # 1545992921.880 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992921.881 * * [misc]simplify: iters left: 6 (9 enodes) 1545992921.882 * * [misc]simplify: iters left: 5 (11 enodes) 1545992921.883 * * [misc]simplify: iters left: 4 (14 enodes) 1545992921.885 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992921.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545992921.885 * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # 1545992921.886 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992921.886 * * [misc]simplify: iters left: 6 (9 enodes) 1545992921.887 * * [misc]simplify: iters left: 5 (11 enodes) 1545992921.888 * * [misc]simplify: iters left: 4 (14 enodes) 1545992921.890 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992921.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545992921.891 * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # 1545992921.891 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545992921.891 * * [misc]simplify: iters left: 6 (8 enodes) 1545992921.892 * * [misc]simplify: iters left: 5 (10 enodes) 1545992921.893 * * [misc]simplify: iters left: 4 (13 enodes) 1545992921.895 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545992921.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1545992921.895 * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # 1545992921.895 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992921.896 * * [misc]simplify: iters left: 6 (12 enodes) 1545992921.897 * * [misc]simplify: iters left: 5 (15 enodes) 1545992921.899 * * [misc]simplify: iters left: 4 (18 enodes) 1545992921.902 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992921.902 * [misc]simplify: Simplified (2 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 (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545992921.902 * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # 1545992921.902 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992921.902 * * [misc]simplify: iters left: 6 (12 enodes) 1545992921.904 * * [misc]simplify: iters left: 5 (15 enodes) 1545992921.907 * * [misc]simplify: iters left: 4 (18 enodes) 1545992921.910 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992921.910 * [misc]simplify: Simplified (2 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))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545992921.910 * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # 1545992921.910 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992921.910 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.912 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.914 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.917 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992921.917 * [misc]simplify: Simplified (2 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))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545992921.917 * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # 1545992921.917 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992921.917 * * [misc]simplify: iters left: 6 (12 enodes) 1545992921.919 * * [misc]simplify: iters left: 5 (15 enodes) 1545992921.921 * * [misc]simplify: iters left: 4 (18 enodes) 1545992921.923 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545992921.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545992921.923 * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # 1545992921.924 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992921.924 * * [misc]simplify: iters left: 6 (12 enodes) 1545992921.925 * * [misc]simplify: iters left: 5 (15 enodes) 1545992921.927 * * [misc]simplify: iters left: 4 (18 enodes) 1545992921.930 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992921.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545992921.930 * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # 1545992921.930 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992921.930 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.932 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.936 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.941 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545992921.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545992921.941 * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # 1545992921.941 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992921.942 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.945 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.949 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.954 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545992921.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545992921.954 * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # 1545992921.955 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992921.955 * * [misc]simplify: iters left: 6 (11 enodes) 1545992921.958 * * [misc]simplify: iters left: 5 (14 enodes) 1545992921.962 * * [misc]simplify: iters left: 4 (17 enodes) 1545992921.968 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545992921.968 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545992921.968 * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # 1545992921.968 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992921.968 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.971 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.975 * * [misc]simplify: iters left: 4 (16 enodes) 1545992921.980 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992921.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992921.980 * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # 1545992921.980 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992921.980 * * [misc]simplify: iters left: 6 (10 enodes) 1545992921.983 * * [misc]simplify: iters left: 5 (13 enodes) 1545992921.987 * * [misc]simplify: iters left: 4 (16 enodes) 1545992921.992 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545992921.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992921.992 * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # 1545992921.992 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545992921.992 * * [misc]simplify: iters left: 3 (4 enodes) 1545992921.993 * * [misc]simplify: iters left: 2 (6 enodes) 1545992921.995 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545992921.995 * [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)))) 1545992921.995 * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # 1545992921.996 * [enter]simplify: Simplifying (pow PI 1/2) 1545992921.996 * * [misc]simplify: iters left: 1 (3 enodes) 1545992921.997 * [exit]simplify: Simplified to (sqrt PI) 1545992921.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992921.997 * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # 1545992921.997 * [enter]simplify: Simplifying (pow PI 1/2) 1545992921.997 * * [misc]simplify: iters left: 1 (3 enodes) 1545992921.998 * [exit]simplify: Simplified to (sqrt PI) 1545992921.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992921.998 * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # 1545992921.999 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545992921.999 * * [misc]simplify: iters left: 6 (9 enodes) 1545992922.001 * * [misc]simplify: iters left: 5 (11 enodes) 1545992922.005 * * [misc]simplify: iters left: 4 (14 enodes) 1545992922.009 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545992922.009 * [misc]simplify: Simplified (2 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))))) 1545992922.009 * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # 1545992922.009 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545992922.010 * * [misc]simplify: iters left: 6 (8 enodes) 1545992922.012 * * [misc]simplify: iters left: 5 (10 enodes) 1545992922.015 * * [misc]simplify: iters left: 4 (13 enodes) 1545992922.019 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545992922.019 * [misc]simplify: Simplified (2 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))))) 1545992922.019 * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # 1545992922.019 * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # 1545992922.020 * [enter]simplify: Simplifying (sqrt k) 1545992922.020 * * [misc]simplify: iters left: 1 (2 enodes) 1545992922.020 * [exit]simplify: Simplified to (sqrt k) 1545992922.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545992922.020 * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # 1545992922.021 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992922.021 * * [misc]simplify: iters left: 6 (13 enodes) 1545992922.025 * * [misc]simplify: iters left: 5 (20 enodes) 1545992922.031 * * [misc]simplify: iters left: 4 (27 enodes) 1545992922.038 * * [misc]simplify: iters left: 3 (29 enodes) 1545992922.045 * * [misc]simplify: iters left: 2 (31 enodes) 1545992922.054 * * [misc]simplify: iters left: 1 (32 enodes) 1545992922.063 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545992922.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1545992922.063 * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # 1545992922.063 * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # 1545992922.063 * [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))))) 1545992922.064 * * [misc]simplify: iters left: 6 (35 enodes) 1545992922.080 * * [misc]simplify: iters left: 5 (102 enodes) 1545992922.124 * * [misc]simplify: iters left: 4 (321 enodes) 1545992922.387 * [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)))))) 1545992922.387 * [misc]simplify: Simplified (2 2 1) 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)))) 1545992922.387 * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # 1545992922.387 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545992922.387 * * [misc]simplify: iters left: 6 (13 enodes) 1545992922.390 * * [misc]simplify: iters left: 5 (27 enodes) 1545992922.395 * * [misc]simplify: iters left: 4 (53 enodes) 1545992922.405 * * [misc]simplify: iters left: 3 (124 enodes) 1545992922.456 * * [misc]simplify: iters left: 2 (394 enodes) 1545992922.987 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545992922.987 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1545992922.987 * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # 1545992922.987 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545992922.987 * * [misc]simplify: iters left: 6 (13 enodes) 1545992922.990 * * [misc]simplify: iters left: 5 (24 enodes) 1545992922.998 * * [misc]simplify: iters left: 4 (54 enodes) 1545992923.010 * * [misc]simplify: iters left: 3 (151 enodes) 1545992923.088 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545992923.088 * [misc]simplify: Simplified (2 2 1) 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)))) 1545992923.088 * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # 1545992923.089 * [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)))) 1545992923.089 * * [misc]simplify: iters left: 6 (18 enodes) 1545992923.092 * * [misc]simplify: iters left: 5 (39 enodes) 1545992923.100 * * [misc]simplify: iters left: 4 (110 enodes) 1545992923.157 * * [misc]simplify: iters left: 3 (321 enodes) 1545992923.375 * [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))) 1545992923.375 * [misc]simplify: Simplified (2 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)))) 1545992923.375 * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # 1545992923.376 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545992923.376 * * [misc]simplify: iters left: 5 (6 enodes) 1545992923.378 * * [misc]simplify: iters left: 4 (9 enodes) 1545992923.382 * * [misc]simplify: iters left: 3 (17 enodes) 1545992923.386 * * [misc]simplify: iters left: 2 (24 enodes) 1545992923.396 * * [misc]simplify: iters left: 1 (28 enodes) 1545992923.409 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545992923.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992923.409 * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # 1545992923.410 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545992923.410 * * [misc]simplify: iters left: 5 (6 enodes) 1545992923.412 * * [misc]simplify: iters left: 4 (9 enodes) 1545992923.415 * * [misc]simplify: iters left: 3 (17 enodes) 1545992923.420 * * [misc]simplify: iters left: 2 (24 enodes) 1545992923.426 * * [misc]simplify: iters left: 1 (28 enodes) 1545992923.439 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545992923.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992923.440 * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # 1545992923.440 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545992923.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545992923.440 * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # 1545992923.441 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545992923.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545992923.441 * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # 1545992923.441 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545992923.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545992923.441 * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # 1545992923.441 * [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))))))))))))))) 1545992923.441 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992923.441 * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # 1545992923.442 * [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)))))))) 1545992923.442 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992923.442 * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # 1545992923.442 * [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)))))))) 1545992923.442 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545992923.442 * * * [misc]progress: adding candidates to table 1545992925.359 * * [misc]progress: iteration 4 / 4 1545992925.359 * * * [misc]progress: picking best candidate 1545992925.407 * * * * [misc]pick: Picked # 1545992925.408 * * * [misc]progress: localizing error 1545992925.426 * * * [misc]progress: generating rewritten candidates 1545992925.426 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) 1545992925.429 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1545992925.431 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1545992925.432 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545992925.438 * * * [misc]progress: generating series expansions 1545992925.438 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) 1545992925.438 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545992925.438 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545992925.438 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.439 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.439 * [misc]taylor: Taking taylor expansion of k in k 1545992925.439 * [misc]backup-simplify: Simplify 0 into 0 1545992925.439 * [misc]backup-simplify: Simplify 1 into 1 1545992925.439 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992925.439 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.439 * [misc]backup-simplify: Simplify 2 into 2 1545992925.439 * [misc]taylor: Taking taylor expansion of n in k 1545992925.439 * [misc]backup-simplify: Simplify n into n 1545992925.439 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992925.439 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992925.440 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.440 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.440 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.440 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992925.440 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992925.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.440 * [misc]taylor: Taking taylor expansion of k in n 1545992925.440 * [misc]backup-simplify: Simplify k into k 1545992925.440 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.441 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.441 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.441 * [misc]backup-simplify: Simplify 2 into 2 1545992925.441 * [misc]taylor: Taking taylor expansion of n in n 1545992925.441 * [misc]backup-simplify: Simplify 0 into 0 1545992925.441 * [misc]backup-simplify: Simplify 1 into 1 1545992925.441 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.441 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.441 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.441 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.441 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.442 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.442 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.442 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.443 * [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)))) 1545992925.443 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.443 * [misc]taylor: Taking taylor expansion of k in n 1545992925.443 * [misc]backup-simplify: Simplify k into k 1545992925.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.443 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.443 * [misc]backup-simplify: Simplify 2 into 2 1545992925.443 * [misc]taylor: Taking taylor expansion of n in n 1545992925.443 * [misc]backup-simplify: Simplify 0 into 0 1545992925.443 * [misc]backup-simplify: Simplify 1 into 1 1545992925.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.444 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.444 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.444 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.444 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.444 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.445 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.445 * [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)))) 1545992925.445 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545992925.445 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545992925.445 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545992925.445 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.445 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.445 * [misc]backup-simplify: Simplify 2 into 2 1545992925.445 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.445 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.445 * [misc]taylor: Taking taylor expansion of n in k 1545992925.445 * [misc]backup-simplify: Simplify n into n 1545992925.446 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.446 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.446 * [misc]taylor: Taking taylor expansion of k in k 1545992925.446 * [misc]backup-simplify: Simplify 0 into 0 1545992925.446 * [misc]backup-simplify: Simplify 1 into 1 1545992925.446 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545992925.446 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.446 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.447 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545992925.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992925.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992925.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.450 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992925.451 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.451 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.451 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992925.453 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.453 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.453 * [misc]backup-simplify: Simplify 0 into 0 1545992925.453 * [misc]backup-simplify: Simplify 0 into 0 1545992925.453 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992925.453 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.453 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.456 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992925.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.457 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545992925.458 * [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))))) 1545992925.459 * [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))))) 1545992925.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992925.464 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.464 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992925.464 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.464 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.465 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.465 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545992925.468 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.468 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.468 * [misc]backup-simplify: Simplify 0 into 0 1545992925.468 * [misc]backup-simplify: Simplify 0 into 0 1545992925.468 * [misc]backup-simplify: Simplify 0 into 0 1545992925.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.469 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.473 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.475 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992925.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.475 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545992925.477 * [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))))) 1545992925.478 * [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))))) 1545992925.481 * [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))))) 1545992925.482 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.482 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545992925.482 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.482 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of k in k 1545992925.482 * [misc]backup-simplify: Simplify 0 into 0 1545992925.482 * [misc]backup-simplify: Simplify 1 into 1 1545992925.482 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.482 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992925.482 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.482 * [misc]backup-simplify: Simplify 2 into 2 1545992925.482 * [misc]taylor: Taking taylor expansion of n in k 1545992925.482 * [misc]backup-simplify: Simplify n into n 1545992925.482 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992925.483 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992925.483 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.483 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.483 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.483 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992925.483 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.483 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.484 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.484 * [misc]taylor: Taking taylor expansion of k in n 1545992925.484 * [misc]backup-simplify: Simplify k into k 1545992925.484 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.484 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.484 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.484 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.484 * [misc]backup-simplify: Simplify 2 into 2 1545992925.484 * [misc]taylor: Taking taylor expansion of n in n 1545992925.484 * [misc]backup-simplify: Simplify 0 into 0 1545992925.484 * [misc]backup-simplify: Simplify 1 into 1 1545992925.484 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.484 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.484 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.484 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.485 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.485 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.485 * [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))) 1545992925.486 * [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)))) 1545992925.486 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of k in n 1545992925.486 * [misc]backup-simplify: Simplify k into k 1545992925.486 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.486 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.486 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.486 * [misc]backup-simplify: Simplify 2 into 2 1545992925.486 * [misc]taylor: Taking taylor expansion of n in n 1545992925.486 * [misc]backup-simplify: Simplify 0 into 0 1545992925.486 * [misc]backup-simplify: Simplify 1 into 1 1545992925.486 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.487 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.487 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.487 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.487 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.487 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.488 * [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))) 1545992925.488 * [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)))) 1545992925.488 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545992925.488 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545992925.488 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.488 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.488 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.488 * [misc]taylor: Taking taylor expansion of k in k 1545992925.488 * [misc]backup-simplify: Simplify 0 into 0 1545992925.488 * [misc]backup-simplify: Simplify 1 into 1 1545992925.488 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.489 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545992925.489 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.489 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.489 * [misc]backup-simplify: Simplify 2 into 2 1545992925.489 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.489 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.489 * [misc]taylor: Taking taylor expansion of n in k 1545992925.489 * [misc]backup-simplify: Simplify n into n 1545992925.489 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.489 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.489 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.489 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.489 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.490 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545992925.490 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545992925.490 * [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)))) 1545992925.491 * [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)))) 1545992925.491 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992925.494 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.494 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.494 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.495 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.495 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992925.496 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.496 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.496 * [misc]backup-simplify: Simplify 0 into 0 1545992925.496 * [misc]backup-simplify: Simplify 0 into 0 1545992925.496 * [misc]backup-simplify: Simplify 0 into 0 1545992925.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.501 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.501 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.502 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.502 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.503 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545992925.505 * [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 1545992925.505 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.505 * [misc]backup-simplify: Simplify 0 into 0 1545992925.505 * [misc]backup-simplify: Simplify 0 into 0 1545992925.505 * [misc]backup-simplify: Simplify 0 into 0 1545992925.505 * [misc]backup-simplify: Simplify 0 into 0 1545992925.506 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.513 * [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 1545992925.513 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992925.514 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.514 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.515 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545992925.518 * [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 1545992925.518 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.519 * [misc]backup-simplify: Simplify 0 into 0 1545992925.519 * [misc]backup-simplify: Simplify 0 into 0 1545992925.519 * [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)))) 1545992925.519 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.519 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545992925.519 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992925.519 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992925.519 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.520 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of k in k 1545992925.520 * [misc]backup-simplify: Simplify 0 into 0 1545992925.520 * [misc]backup-simplify: Simplify 1 into 1 1545992925.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.520 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992925.520 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.520 * [misc]backup-simplify: Simplify -2 into -2 1545992925.520 * [misc]taylor: Taking taylor expansion of n in k 1545992925.520 * [misc]backup-simplify: Simplify n into n 1545992925.520 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992925.521 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992925.521 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.521 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.521 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992925.521 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.521 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.521 * [misc]taylor: Taking taylor expansion of k in n 1545992925.522 * [misc]backup-simplify: Simplify k into k 1545992925.522 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.522 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.522 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.522 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.522 * [misc]backup-simplify: Simplify -2 into -2 1545992925.522 * [misc]taylor: Taking taylor expansion of n in n 1545992925.522 * [misc]backup-simplify: Simplify 0 into 0 1545992925.522 * [misc]backup-simplify: Simplify 1 into 1 1545992925.522 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.522 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.522 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.522 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.523 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.523 * [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))) 1545992925.524 * [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)))) 1545992925.524 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of k in n 1545992925.524 * [misc]backup-simplify: Simplify k into k 1545992925.524 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.524 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.524 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.524 * [misc]backup-simplify: Simplify -2 into -2 1545992925.524 * [misc]taylor: Taking taylor expansion of n in n 1545992925.524 * [misc]backup-simplify: Simplify 0 into 0 1545992925.524 * [misc]backup-simplify: Simplify 1 into 1 1545992925.524 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.525 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.525 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.525 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.525 * [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))) 1545992925.526 * [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)))) 1545992925.526 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545992925.526 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545992925.526 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.526 * [misc]taylor: Taking taylor expansion of k in k 1545992925.526 * [misc]backup-simplify: Simplify 0 into 0 1545992925.526 * [misc]backup-simplify: Simplify 1 into 1 1545992925.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.527 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545992925.527 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545992925.527 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.527 * [misc]backup-simplify: Simplify -2 into -2 1545992925.527 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.527 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.527 * [misc]taylor: Taking taylor expansion of n in k 1545992925.527 * [misc]backup-simplify: Simplify n into n 1545992925.527 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.527 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.527 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.527 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.528 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545992925.528 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545992925.528 * [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)))) 1545992925.529 * [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)))) 1545992925.529 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992925.531 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992925.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.533 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992925.534 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.534 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.534 * [misc]backup-simplify: Simplify 0 into 0 1545992925.534 * [misc]backup-simplify: Simplify 0 into 0 1545992925.534 * [misc]backup-simplify: Simplify 0 into 0 1545992925.535 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.539 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545992925.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.541 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545992925.543 * [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 1545992925.543 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.543 * [misc]backup-simplify: Simplify 0 into 0 1545992925.543 * [misc]backup-simplify: Simplify 0 into 0 1545992925.543 * [misc]backup-simplify: Simplify 0 into 0 1545992925.543 * [misc]backup-simplify: Simplify 0 into 0 1545992925.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.551 * [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 1545992925.551 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.552 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992925.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.553 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545992925.556 * [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 1545992925.557 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.557 * [misc]backup-simplify: Simplify 0 into 0 1545992925.557 * [misc]backup-simplify: Simplify 0 into 0 1545992925.557 * [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))))) 1545992925.557 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1) 1545992925.557 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545992925.557 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545992925.557 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992925.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992925.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992925.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.558 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.558 * [misc]taylor: Taking taylor expansion of k in k 1545992925.558 * [misc]backup-simplify: Simplify 0 into 0 1545992925.558 * [misc]backup-simplify: Simplify 1 into 1 1545992925.558 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992925.558 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992925.558 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.558 * [misc]backup-simplify: Simplify 2 into 2 1545992925.558 * [misc]taylor: Taking taylor expansion of n in k 1545992925.558 * [misc]backup-simplify: Simplify n into n 1545992925.558 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992925.558 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992925.558 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.558 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.559 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.559 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992925.559 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992925.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.559 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.559 * [misc]taylor: Taking taylor expansion of k in n 1545992925.559 * [misc]backup-simplify: Simplify k into k 1545992925.559 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.559 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.559 * [misc]backup-simplify: Simplify 2 into 2 1545992925.559 * [misc]taylor: Taking taylor expansion of n in n 1545992925.559 * [misc]backup-simplify: Simplify 0 into 0 1545992925.559 * [misc]backup-simplify: Simplify 1 into 1 1545992925.560 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.560 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.560 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.560 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.560 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.560 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.561 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.561 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.561 * [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)))) 1545992925.561 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.561 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.561 * [misc]taylor: Taking taylor expansion of k in n 1545992925.562 * [misc]backup-simplify: Simplify k into k 1545992925.562 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.562 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.562 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.562 * [misc]backup-simplify: Simplify 2 into 2 1545992925.562 * [misc]taylor: Taking taylor expansion of n in n 1545992925.562 * [misc]backup-simplify: Simplify 0 into 0 1545992925.562 * [misc]backup-simplify: Simplify 1 into 1 1545992925.562 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.562 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.565 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.566 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.566 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.566 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.566 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.566 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.567 * [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)))) 1545992925.567 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.567 * [misc]backup-simplify: Simplify 2 into 2 1545992925.567 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.567 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of n in k 1545992925.567 * [misc]backup-simplify: Simplify n into n 1545992925.567 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.567 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.567 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.568 * [misc]taylor: Taking taylor expansion of k in k 1545992925.568 * [misc]backup-simplify: Simplify 0 into 0 1545992925.568 * [misc]backup-simplify: Simplify 1 into 1 1545992925.568 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545992925.568 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.568 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.568 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.569 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545992925.569 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992925.569 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992925.569 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.572 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.572 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992925.573 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.573 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.574 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992925.575 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.575 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.576 * [misc]backup-simplify: Simplify 0 into 0 1545992925.576 * [misc]backup-simplify: Simplify 0 into 0 1545992925.576 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992925.576 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.576 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992925.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.580 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545992925.581 * [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))))) 1545992925.581 * [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))))) 1545992925.582 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992925.586 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.587 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992925.587 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.587 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.588 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545992925.590 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.590 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.590 * [misc]backup-simplify: Simplify 0 into 0 1545992925.590 * [misc]backup-simplify: Simplify 0 into 0 1545992925.590 * [misc]backup-simplify: Simplify 0 into 0 1545992925.591 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.591 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.595 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.596 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992925.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.597 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545992925.598 * [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))))) 1545992925.600 * [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))))) 1545992925.601 * [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))))) 1545992925.601 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.601 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545992925.601 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992925.601 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of k in k 1545992925.602 * [misc]backup-simplify: Simplify 0 into 0 1545992925.602 * [misc]backup-simplify: Simplify 1 into 1 1545992925.602 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.602 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992925.602 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.602 * [misc]backup-simplify: Simplify 2 into 2 1545992925.602 * [misc]taylor: Taking taylor expansion of n in k 1545992925.602 * [misc]backup-simplify: Simplify n into n 1545992925.602 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992925.602 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992925.602 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.602 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.602 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.602 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992925.602 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.602 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.603 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of k in n 1545992925.603 * [misc]backup-simplify: Simplify k into k 1545992925.603 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.603 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.603 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.603 * [misc]backup-simplify: Simplify 2 into 2 1545992925.603 * [misc]taylor: Taking taylor expansion of n in n 1545992925.603 * [misc]backup-simplify: Simplify 0 into 0 1545992925.603 * [misc]backup-simplify: Simplify 1 into 1 1545992925.603 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.603 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.603 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.603 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.603 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.604 * [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))) 1545992925.604 * [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)))) 1545992925.604 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of k in n 1545992925.604 * [misc]backup-simplify: Simplify k into k 1545992925.604 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.604 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.604 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.604 * [misc]backup-simplify: Simplify 2 into 2 1545992925.604 * [misc]taylor: Taking taylor expansion of n in n 1545992925.604 * [misc]backup-simplify: Simplify 0 into 0 1545992925.604 * [misc]backup-simplify: Simplify 1 into 1 1545992925.604 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.604 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.605 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.605 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.605 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.605 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.605 * [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))) 1545992925.605 * [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)))) 1545992925.605 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545992925.605 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545992925.605 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.606 * [misc]taylor: Taking taylor expansion of k in k 1545992925.606 * [misc]backup-simplify: Simplify 0 into 0 1545992925.606 * [misc]backup-simplify: Simplify 1 into 1 1545992925.606 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.606 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545992925.606 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.606 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.606 * [misc]backup-simplify: Simplify 2 into 2 1545992925.606 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.606 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.606 * [misc]taylor: Taking taylor expansion of n in k 1545992925.606 * [misc]backup-simplify: Simplify n into n 1545992925.606 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.606 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.606 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.606 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.606 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545992925.607 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545992925.607 * [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)))) 1545992925.607 * [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)))) 1545992925.607 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992925.609 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.609 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.609 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.609 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.609 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.610 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992925.610 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.610 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.611 * [misc]backup-simplify: Simplify 0 into 0 1545992925.611 * [misc]backup-simplify: Simplify 0 into 0 1545992925.611 * [misc]backup-simplify: Simplify 0 into 0 1545992925.611 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.613 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.614 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.614 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.614 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545992925.616 * [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 1545992925.616 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.616 * [misc]backup-simplify: Simplify 0 into 0 1545992925.616 * [misc]backup-simplify: Simplify 0 into 0 1545992925.616 * [misc]backup-simplify: Simplify 0 into 0 1545992925.616 * [misc]backup-simplify: Simplify 0 into 0 1545992925.616 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.620 * [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 1545992925.620 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.621 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992925.621 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.621 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.621 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.621 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545992925.624 * [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 1545992925.624 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.624 * [misc]backup-simplify: Simplify 0 into 0 1545992925.624 * [misc]backup-simplify: Simplify 0 into 0 1545992925.624 * [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)))) 1545992925.625 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.625 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545992925.625 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of k in k 1545992925.625 * [misc]backup-simplify: Simplify 0 into 0 1545992925.625 * [misc]backup-simplify: Simplify 1 into 1 1545992925.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.625 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992925.625 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.625 * [misc]backup-simplify: Simplify -2 into -2 1545992925.625 * [misc]taylor: Taking taylor expansion of n in k 1545992925.625 * [misc]backup-simplify: Simplify n into n 1545992925.625 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992925.625 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992925.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.626 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.626 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992925.626 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.626 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.626 * [misc]taylor: Taking taylor expansion of k in n 1545992925.626 * [misc]backup-simplify: Simplify k into k 1545992925.626 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.627 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.627 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.627 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.627 * [misc]backup-simplify: Simplify -2 into -2 1545992925.627 * [misc]taylor: Taking taylor expansion of n in n 1545992925.627 * [misc]backup-simplify: Simplify 0 into 0 1545992925.627 * [misc]backup-simplify: Simplify 1 into 1 1545992925.627 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.627 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.627 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.627 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.628 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.628 * [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))) 1545992925.628 * [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)))) 1545992925.628 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.628 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.628 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.628 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.629 * [misc]taylor: Taking taylor expansion of k in n 1545992925.629 * [misc]backup-simplify: Simplify k into k 1545992925.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.629 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.629 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.629 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.629 * [misc]backup-simplify: Simplify -2 into -2 1545992925.629 * [misc]taylor: Taking taylor expansion of n in n 1545992925.629 * [misc]backup-simplify: Simplify 0 into 0 1545992925.629 * [misc]backup-simplify: Simplify 1 into 1 1545992925.629 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.629 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.629 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.630 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.630 * [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))) 1545992925.631 * [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)))) 1545992925.631 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545992925.631 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545992925.631 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.631 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.631 * [misc]taylor: Taking taylor expansion of k in k 1545992925.631 * [misc]backup-simplify: Simplify 0 into 0 1545992925.631 * [misc]backup-simplify: Simplify 1 into 1 1545992925.632 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.632 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.632 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545992925.632 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545992925.632 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.632 * [misc]backup-simplify: Simplify -2 into -2 1545992925.632 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.632 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.632 * [misc]taylor: Taking taylor expansion of n in k 1545992925.632 * [misc]backup-simplify: Simplify n into n 1545992925.632 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.632 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.632 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.633 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.633 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545992925.633 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545992925.633 * [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)))) 1545992925.634 * [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)))) 1545992925.634 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992925.637 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992925.637 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.639 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992925.640 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.640 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.640 * [misc]backup-simplify: Simplify 0 into 0 1545992925.640 * [misc]backup-simplify: Simplify 0 into 0 1545992925.640 * [misc]backup-simplify: Simplify 0 into 0 1545992925.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.645 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545992925.645 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.646 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.647 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545992925.649 * [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 1545992925.649 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.649 * [misc]backup-simplify: Simplify 0 into 0 1545992925.649 * [misc]backup-simplify: Simplify 0 into 0 1545992925.649 * [misc]backup-simplify: Simplify 0 into 0 1545992925.649 * [misc]backup-simplify: Simplify 0 into 0 1545992925.649 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.656 * [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 1545992925.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992925.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.658 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545992925.661 * [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 1545992925.662 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.662 * [misc]backup-simplify: Simplify 0 into 0 1545992925.662 * [misc]backup-simplify: Simplify 0 into 0 1545992925.662 * [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))))) 1545992925.662 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1545992925.662 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545992925.662 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545992925.662 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992925.662 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992925.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992925.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.662 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.663 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.663 * [misc]taylor: Taking taylor expansion of k in k 1545992925.663 * [misc]backup-simplify: Simplify 0 into 0 1545992925.663 * [misc]backup-simplify: Simplify 1 into 1 1545992925.663 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.663 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.663 * [misc]backup-simplify: Simplify PI into PI 1545992925.663 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.663 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.664 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.664 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.664 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992925.665 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992925.665 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545992925.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545992925.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545992925.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.666 * [misc]taylor: Taking taylor expansion of k in k 1545992925.666 * [misc]backup-simplify: Simplify 0 into 0 1545992925.666 * [misc]backup-simplify: Simplify 1 into 1 1545992925.666 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.666 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.666 * [misc]backup-simplify: Simplify PI into PI 1545992925.666 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.666 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.667 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.667 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992925.668 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545992925.668 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545992925.671 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545992925.671 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992925.671 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.672 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.673 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545992925.676 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545992925.676 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545992925.679 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545992925.679 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.679 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.679 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545992925.683 * [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))) 1545992925.683 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545992925.685 * [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)))) 1545992925.685 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.685 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545992925.685 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.685 * [misc]taylor: Taking taylor expansion of k in k 1545992925.685 * [misc]backup-simplify: Simplify 0 into 0 1545992925.685 * [misc]backup-simplify: Simplify 1 into 1 1545992925.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.686 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.686 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.686 * [misc]backup-simplify: Simplify PI into PI 1545992925.686 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.686 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.686 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.686 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.686 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992925.687 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.687 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of k in k 1545992925.687 * [misc]backup-simplify: Simplify 0 into 0 1545992925.687 * [misc]backup-simplify: Simplify 1 into 1 1545992925.687 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.687 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.687 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.687 * [misc]backup-simplify: Simplify PI into PI 1545992925.687 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.688 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.688 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.688 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.688 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545992925.688 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.688 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.688 * [misc]backup-simplify: Simplify 0 into 0 1545992925.688 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545992925.689 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.689 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545992925.689 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.689 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of k in k 1545992925.689 * [misc]backup-simplify: Simplify 0 into 0 1545992925.689 * [misc]backup-simplify: Simplify 1 into 1 1545992925.689 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.689 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.689 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.689 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.689 * [misc]backup-simplify: Simplify PI into PI 1545992925.689 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.689 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.690 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.690 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992925.690 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.690 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of k in k 1545992925.690 * [misc]backup-simplify: Simplify 0 into 0 1545992925.690 * [misc]backup-simplify: Simplify 1 into 1 1545992925.690 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.690 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545992925.690 * [misc]taylor: Taking taylor expansion of PI in k 1545992925.690 * [misc]backup-simplify: Simplify PI into PI 1545992925.691 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545992925.691 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.691 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.691 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545992925.691 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.691 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.691 * [misc]backup-simplify: Simplify 0 into 0 1545992925.691 * [misc]backup-simplify: Simplify 0 into 0 1545992925.691 * [misc]backup-simplify: Simplify 0 into 0 1545992925.692 * [misc]backup-simplify: Simplify 0 into 0 1545992925.692 * [misc]backup-simplify: Simplify 0 into 0 1545992925.692 * [misc]backup-simplify: Simplify 0 into 0 1545992925.692 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545992925.692 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545992925.692 * [misc]backup-simplify: Simplify (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) 1545992925.692 * [misc]approximate: Taking taylor expansion of (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in (n k) around 0 1545992925.692 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.692 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.692 * [misc]taylor: Taking taylor expansion of k in k 1545992925.692 * [misc]backup-simplify: Simplify 0 into 0 1545992925.692 * [misc]backup-simplify: Simplify 1 into 1 1545992925.692 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545992925.692 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.692 * [misc]backup-simplify: Simplify 2 into 2 1545992925.692 * [misc]taylor: Taking taylor expansion of n in k 1545992925.692 * [misc]backup-simplify: Simplify n into n 1545992925.692 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545992925.692 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545992925.692 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.692 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.693 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.693 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545992925.693 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545992925.693 * [misc]backup-simplify: Simplify (sqrt (pow (* 2 n) 1/2)) into (pow (* n 2) 1/4) 1545992925.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545992925.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545992925.694 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992925.694 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.694 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.694 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545992925.694 * [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)))) 1545992925.694 * [misc]backup-simplify: Simplify (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 2 (sqrt (pow (* 2 n) 1/2)))) into (* -1/4 (* (* (sqrt 2) (log (* 2 n))) (pow (/ n 2) 1/4))) 1545992925.694 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992925.694 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992925.694 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992925.694 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992925.694 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.694 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992925.694 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.694 * [misc]taylor: Taking taylor expansion of k in k 1545992925.694 * [misc]backup-simplify: Simplify 0 into 0 1545992925.694 * [misc]backup-simplify: Simplify 1 into 1 1545992925.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.695 * [misc]backup-simplify: Simplify (log 1) into 0 1545992925.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992925.695 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992925.695 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992925.695 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.695 * [misc]taylor: Taking taylor expansion of k in n 1545992925.695 * [misc]backup-simplify: Simplify k into k 1545992925.695 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.695 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.695 * [misc]backup-simplify: Simplify 2 into 2 1545992925.695 * [misc]taylor: Taking taylor expansion of n in n 1545992925.695 * [misc]backup-simplify: Simplify 0 into 0 1545992925.695 * [misc]backup-simplify: Simplify 1 into 1 1545992925.695 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.696 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.696 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.696 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.696 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.696 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.696 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.696 * [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)))) 1545992925.697 * [misc]backup-simplify: Simplify (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545992925.697 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.698 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992925.698 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.699 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.699 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992925.700 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.700 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))))) into 0 1545992925.700 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992925.700 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.700 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of k in n 1545992925.700 * [misc]backup-simplify: Simplify k into k 1545992925.700 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.700 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1545992925.700 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1545992925.700 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1545992925.700 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (sqrt (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.700 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545992925.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.700 * [misc]taylor: Taking taylor expansion of k in n 1545992925.700 * [misc]backup-simplify: Simplify k into k 1545992925.700 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545992925.701 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545992925.701 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.701 * [misc]backup-simplify: Simplify 2 into 2 1545992925.701 * [misc]taylor: Taking taylor expansion of n in n 1545992925.701 * [misc]backup-simplify: Simplify 0 into 0 1545992925.701 * [misc]backup-simplify: Simplify 1 into 1 1545992925.701 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545992925.701 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545992925.701 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.701 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545992925.701 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545992925.701 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545992925.701 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.701 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545992925.702 * [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)))) 1545992925.702 * [misc]backup-simplify: Simplify (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545992925.702 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545992925.706 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.706 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.707 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545992925.708 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))))) into 0 1545992925.709 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1545992925.709 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1545992925.709 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1545992925.709 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992925.709 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.709 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1545992925.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.709 * [misc]taylor: Taking taylor expansion of k in n 1545992925.709 * [misc]backup-simplify: Simplify k into k 1545992925.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.709 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1545992925.709 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1545992925.709 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1545992925.710 * [misc]backup-simplify: Simplify (* (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (pow (/ 1 k) 1/4)) into (* (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (pow (/ 1 k) 1/4)) 1545992925.710 * [misc]taylor: Taking taylor expansion of (* (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (pow (/ 1 k) 1/4)) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.710 * [misc]backup-simplify: Simplify 2 into 2 1545992925.710 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.710 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of n in k 1545992925.710 * [misc]backup-simplify: Simplify n into n 1545992925.710 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.710 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545992925.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.711 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545992925.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.711 * [misc]taylor: Taking taylor expansion of k in k 1545992925.711 * [misc]backup-simplify: Simplify 0 into 0 1545992925.711 * [misc]backup-simplify: Simplify 1 into 1 1545992925.711 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545992925.711 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545992925.711 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.711 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.712 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545992925.712 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545992925.712 * [misc]backup-simplify: Simplify (sqrt (exp (* 1/2 (+ (log 2) (log n))))) into (sqrt (exp (* 1/2 (+ (log 2) (log n))))) 1545992925.712 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545992925.713 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.713 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.715 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.716 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545992925.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.717 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545992925.717 * [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))))) 1545992925.718 * [misc]backup-simplify: Simplify (/ (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 2 (sqrt (exp (* 1/2 (+ (log 2) (log n))))))) into (* -1/2 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545992925.718 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1545992925.718 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1545992925.719 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1545992925.719 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992925.719 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.719 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1545992925.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.719 * [misc]taylor: Taking taylor expansion of k in k 1545992925.719 * [misc]backup-simplify: Simplify 0 into 0 1545992925.719 * [misc]backup-simplify: Simplify 1 into 1 1545992925.719 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.719 * [misc]backup-simplify: Simplify (log 1) into 0 1545992925.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992925.719 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1545992925.719 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1545992925.720 * [misc]backup-simplify: Simplify (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow k -1/4)) into (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)) 1545992925.720 * [misc]backup-simplify: Simplify (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)) into (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)) 1545992925.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1545992925.722 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1545992925.723 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.723 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 1545992925.723 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.723 * [misc]backup-simplify: Simplify 0 into 0 1545992925.723 * [misc]backup-simplify: Simplify 0 into 0 1545992925.724 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545992925.726 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992925.726 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992925.726 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1545992925.728 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.729 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) 0) (* (* -1/2 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow k -1/4))) into (- (+ (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) 1545992925.730 * [misc]backup-simplify: Simplify (- (+ (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) into (- (+ (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) 1545992925.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.732 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1545992925.733 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1545992925.734 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545992925.740 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545992925.740 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545992925.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545992925.743 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))))) into 0 1545992925.745 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (* 0 (pow (/ 1 k) 1/4)))) into 0 1545992925.745 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.745 * [misc]backup-simplify: Simplify 0 into 0 1545992925.745 * [misc]backup-simplify: Simplify 0 into 0 1545992925.745 * [misc]backup-simplify: Simplify 0 into 0 1545992925.746 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.750 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992925.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1545992925.751 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1545992925.753 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.753 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545992925.753 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.753 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.757 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.759 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545992925.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.760 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545992925.761 * [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))))) 1545992925.764 * [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 (* -1/2 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 2) (+)) (* 2 (sqrt (exp (* 1/2 (+ (log 2) (log n))))))) into (* 1/2 (* (sqrt (/ 1 (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/16 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/8 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))))) 1545992925.768 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) 0) (+ (* (* -1/2 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0) (* (* 1/2 (* (sqrt (/ 1 (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/16 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (* 1/8 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)))))))) (pow k -1/4)))) into (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))) (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) 1545992925.771 * [misc]backup-simplify: Simplify (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))) (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) into (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))) (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) 1545992925.777 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))) (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))))) (* k 1)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)) (+ (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 7) 1/4)))) (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (pow k 7) 1/4)))) (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 7) 1/4))))))) (+ (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 3) 1/4)))) (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (pow k 3) 1/4)))))) 1545992925.777 * [misc]backup-simplify: Simplify (sqrt (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) 1545992925.777 * [misc]approximate: Taking taylor expansion of (* (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in (n k) around 0 1545992925.777 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in k 1545992925.777 * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545992925.777 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.778 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of k in k 1545992925.778 * [misc]backup-simplify: Simplify 0 into 0 1545992925.778 * [misc]backup-simplify: Simplify 1 into 1 1545992925.778 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.778 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545992925.778 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.778 * [misc]backup-simplify: Simplify 2 into 2 1545992925.778 * [misc]taylor: Taking taylor expansion of n in k 1545992925.778 * [misc]backup-simplify: Simplify n into n 1545992925.778 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545992925.778 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545992925.779 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.779 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.779 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.779 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545992925.779 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545992925.779 * [misc]backup-simplify: Simplify (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545992925.780 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545992925.780 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992925.780 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992925.780 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992925.780 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992925.780 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.780 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992925.780 * [misc]taylor: Taking taylor expansion of k in k 1545992925.780 * [misc]backup-simplify: Simplify 0 into 0 1545992925.780 * [misc]backup-simplify: Simplify 1 into 1 1545992925.780 * [misc]backup-simplify: Simplify (log 1) into 0 1545992925.780 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992925.780 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992925.781 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992925.781 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of k in n 1545992925.781 * [misc]backup-simplify: Simplify k into k 1545992925.781 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.781 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.781 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.781 * [misc]backup-simplify: Simplify 2 into 2 1545992925.781 * [misc]taylor: Taking taylor expansion of n in n 1545992925.781 * [misc]backup-simplify: Simplify 0 into 0 1545992925.781 * [misc]backup-simplify: Simplify 1 into 1 1545992925.781 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.782 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.782 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.782 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.782 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.783 * [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))) 1545992925.783 * [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)))) 1545992925.783 * [misc]backup-simplify: Simplify (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545992925.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992925.786 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.786 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.787 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.787 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.788 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992925.789 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.790 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.790 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992925.790 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.790 * [misc]taylor: Taking taylor expansion of (log k) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of k in n 1545992925.790 * [misc]backup-simplify: Simplify k into k 1545992925.790 * [misc]backup-simplify: Simplify (log k) into (log k) 1545992925.790 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992925.790 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992925.790 * [misc]taylor: Taking taylor expansion of (* (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of (sqrt (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545992925.790 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of k in n 1545992925.791 * [misc]backup-simplify: Simplify k into k 1545992925.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.791 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545992925.791 * [misc]taylor: Taking taylor expansion of 2 in n 1545992925.791 * [misc]backup-simplify: Simplify 2 into 2 1545992925.791 * [misc]taylor: Taking taylor expansion of n in n 1545992925.791 * [misc]backup-simplify: Simplify 0 into 0 1545992925.791 * [misc]backup-simplify: Simplify 1 into 1 1545992925.791 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545992925.791 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.792 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545992925.792 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545992925.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.792 * [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))) 1545992925.793 * [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)))) 1545992925.793 * [misc]backup-simplify: Simplify (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545992925.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545992925.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545992925.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.797 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.797 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545992925.799 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.799 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.799 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1545992925.799 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1545992925.799 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1545992925.799 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545992925.799 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.799 * [misc]taylor: Taking taylor expansion of (log k) in n 1545992925.799 * [misc]taylor: Taking taylor expansion of k in n 1545992925.799 * [misc]backup-simplify: Simplify k into k 1545992925.799 * [misc]backup-simplify: Simplify (log k) into (log k) 1545992925.799 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992925.800 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992925.800 * [misc]backup-simplify: Simplify (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (pow k 1/4)) into (* (pow k 1/4) (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545992925.800 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k 1545992925.800 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1545992925.800 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1545992925.800 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1545992925.800 * [misc]taylor: Taking taylor expansion of 1/4 in k 1545992925.800 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545992925.800 * [misc]taylor: Taking taylor expansion of (log k) in k 1545992925.800 * [misc]taylor: Taking taylor expansion of k in k 1545992925.800 * [misc]backup-simplify: Simplify 0 into 0 1545992925.800 * [misc]backup-simplify: Simplify 1 into 1 1545992925.800 * [misc]backup-simplify: Simplify (log 1) into 0 1545992925.801 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992925.801 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1545992925.801 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1545992925.801 * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of k in k 1545992925.801 * [misc]backup-simplify: Simplify 0 into 0 1545992925.801 * [misc]backup-simplify: Simplify 1 into 1 1545992925.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.801 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545992925.801 * [misc]taylor: Taking taylor expansion of 2 in k 1545992925.801 * [misc]backup-simplify: Simplify 2 into 2 1545992925.802 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545992925.802 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.802 * [misc]taylor: Taking taylor expansion of n in k 1545992925.802 * [misc]backup-simplify: Simplify n into n 1545992925.802 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.802 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.802 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545992925.802 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545992925.802 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.802 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545992925.803 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545992925.803 * [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)))) 1545992925.803 * [misc]backup-simplify: Simplify (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545992925.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.804 * [misc]backup-simplify: Simplify (* (pow k 1/4) (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (pow k 1/4)) 1545992925.805 * [misc]backup-simplify: Simplify (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (pow k 1/4)) into (* (pow k 1/4) (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545992925.805 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1545992925.806 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1545992925.807 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.807 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (pow k 1/4))) into 0 1545992925.807 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.807 * [misc]backup-simplify: Simplify 0 into 0 1545992925.807 * [misc]backup-simplify: Simplify 0 into 0 1545992925.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545992925.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992925.810 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1545992925.811 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.812 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (* 0 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.812 * [misc]backup-simplify: Simplify 0 into 0 1545992925.813 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1545992925.814 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1545992925.816 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.820 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545992925.821 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.821 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.821 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.821 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.822 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.822 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545992925.824 * [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 1545992925.826 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.826 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1545992925.826 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.826 * [misc]backup-simplify: Simplify 0 into 0 1545992925.826 * [misc]backup-simplify: Simplify 0 into 0 1545992925.826 * [misc]backup-simplify: Simplify 0 into 0 1545992925.827 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.832 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545992925.832 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1545992925.832 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1545992925.834 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545992925.835 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (* 0 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545992925.835 * [misc]backup-simplify: Simplify 0 into 0 1545992925.837 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1545992925.838 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1545992925.841 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545992925.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.849 * [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 1545992925.849 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.850 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545992925.850 * [misc]backup-simplify: Simplify (- 0) into 0 1545992925.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545992925.851 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545992925.855 * [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 1545992925.855 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545992925.856 * [misc]backup-simplify: Simplify (+ (* (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 1545992925.856 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.856 * [misc]backup-simplify: Simplify 0 into 0 1545992925.856 * [misc]backup-simplify: Simplify 0 into 0 1545992925.857 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) (sqrt (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) into (* (sqrt (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow (/ 1 k) 1/4)) 1545992925.857 * [misc]backup-simplify: Simplify (sqrt (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (sqrt (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))) 1545992925.857 * [misc]approximate: Taking taylor expansion of (sqrt (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))) in (n k) around 0 1545992925.857 * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.857 * [misc]taylor: Taking taylor expansion of k in k 1545992925.857 * [misc]backup-simplify: Simplify 0 into 0 1545992925.858 * [misc]backup-simplify: Simplify 1 into 1 1545992925.858 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.858 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545992925.858 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545992925.858 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.858 * [misc]backup-simplify: Simplify -2 into -2 1545992925.858 * [misc]taylor: Taking taylor expansion of n in k 1545992925.858 * [misc]backup-simplify: Simplify n into n 1545992925.858 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545992925.858 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545992925.858 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.858 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.858 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545992925.859 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545992925.859 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992925.859 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992925.859 * [misc]taylor: Taking taylor expansion of -1 in k 1545992925.859 * [misc]backup-simplify: Simplify -1 into -1 1545992925.859 * [misc]taylor: Taking taylor expansion of k in k 1545992925.859 * [misc]backup-simplify: Simplify 0 into 0 1545992925.859 * [misc]backup-simplify: Simplify 1 into 1 1545992925.859 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992925.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992925.860 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992925.860 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545992925.860 * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) 1545992925.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992925.862 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992925.863 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545992925.863 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* 2 (sqrt (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (* +nan.0 (* (/ 1 (sqrt +nan.0)) (sqrt (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545992925.863 * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.864 * [misc]taylor: Taking taylor expansion of k in n 1545992925.864 * [misc]backup-simplify: Simplify k into k 1545992925.864 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.864 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.864 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.864 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.864 * [misc]backup-simplify: Simplify -2 into -2 1545992925.864 * [misc]taylor: Taking taylor expansion of n in n 1545992925.864 * [misc]backup-simplify: Simplify 0 into 0 1545992925.864 * [misc]backup-simplify: Simplify 1 into 1 1545992925.864 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.864 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.864 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.864 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.865 * [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))) 1545992925.865 * [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)))) 1545992925.865 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992925.865 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992925.866 * [misc]taylor: Taking taylor expansion of -1 in n 1545992925.866 * [misc]backup-simplify: Simplify -1 into -1 1545992925.866 * [misc]taylor: Taking taylor expansion of k in n 1545992925.866 * [misc]backup-simplify: Simplify k into k 1545992925.866 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992925.866 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992925.866 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992925.866 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992925.866 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545992925.867 * [misc]backup-simplify: Simplify (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))) into (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))) 1545992925.867 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992925.869 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992925.870 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.870 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.871 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992925.873 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.874 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545992925.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))))) into 0 1545992925.874 * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545992925.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545992925.875 * [misc]taylor: Taking taylor expansion of k in n 1545992925.875 * [misc]backup-simplify: Simplify k into k 1545992925.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545992925.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545992925.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.875 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545992925.875 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545992925.875 * [misc]taylor: Taking taylor expansion of -2 in n 1545992925.875 * [misc]backup-simplify: Simplify -2 into -2 1545992925.875 * [misc]taylor: Taking taylor expansion of n in n 1545992925.875 * [misc]backup-simplify: Simplify 0 into 0 1545992925.875 * [misc]backup-simplify: Simplify 1 into 1 1545992925.875 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545992925.875 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.875 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545992925.875 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545992925.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.876 * [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))) 1545992925.876 * [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)))) 1545992925.876 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545992925.876 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545992925.876 * [misc]taylor: Taking taylor expansion of -1 in n 1545992925.876 * [misc]backup-simplify: Simplify -1 into -1 1545992925.876 * [misc]taylor: Taking taylor expansion of k in n 1545992925.877 * [misc]backup-simplify: Simplify k into k 1545992925.877 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545992925.877 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545992925.877 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545992925.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545992925.877 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545992925.878 * [misc]backup-simplify: Simplify (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))) into (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))) 1545992925.878 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545992925.880 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545992925.880 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545992925.881 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545992925.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.881 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545992925.883 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545992925.883 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545992925.884 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))))) into 0 1545992925.884 * [misc]taylor: Taking taylor expansion of (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of k in k 1545992925.884 * [misc]backup-simplify: Simplify 0 into 0 1545992925.884 * [misc]backup-simplify: Simplify 1 into 1 1545992925.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545992925.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545992925.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545992925.884 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545992925.884 * [misc]taylor: Taking taylor expansion of -2 in k 1545992925.885 * [misc]backup-simplify: Simplify -2 into -2 1545992925.885 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545992925.885 * [misc]taylor: Taking taylor expansion of (log n) in k 1545992925.885 * [misc]taylor: Taking taylor expansion of n in k 1545992925.885 * [misc]backup-simplify: Simplify n into n 1545992925.885 * [misc]backup-simplify: Simplify (log n) into (log n) 1545992925.885 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545992925.885 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545992925.885 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545992925.885 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545992925.886 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545992925.886 * [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)))) 1545992925.886 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545992925.886 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545992925.886 * [misc]taylor: Taking taylor expansion of -1 in k 1545992925.886 * [misc]backup-simplify: Simplify -1 into -1 1545992925.886 * [misc]taylor: Taking taylor expansion of k in k 1545992925.886 * [misc]backup-simplify: Simplify 0 into 0 1545992925.886 * [misc]backup-simplify: Simplify 1 into 1 1545992925.886 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545992925.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545992925.887 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545992925.887 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545992925.888 * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt +nan.0)) 1545992925.888 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545992925.889 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545992925.890 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545992925.890 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (* 2 (sqrt (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into (* +nan.0 (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 1 (sqrt +nan.0)))) 1545992925.891 * [misc]backup-simplify: Simplify (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt +nan.0)) into (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt +nan.0)) 1545992925.891 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.891 * [misc]backup-simplify: Simplify 0 into 0 1545992925.891 * [misc]backup-simplify: Simplify 0 into 0 1545992925.892 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 1 (sqrt +nan.0)))) into (* +nan.0 (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 1 (sqrt +nan.0)))) 1545992925.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.896 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545992925.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545992925.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545992925.898 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545992925.898 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545992925.900 * [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 1545992925.900 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545992925.901 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545992925.902 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545992925.903 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k)))))) into 0 1545992925.903 * [misc]taylor: Taking taylor expansion of 0 in k 1545992925.903 * [misc]backup-simplify: Simplify 0 into 0 1545992925.903 * [misc]backup-simplify: Simplify 0 into 0 1545992925.903 * [misc]backup-simplify: Simplify 0 into 0 1545992925.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545992925.905 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545992925.906 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545992925.908 * [misc]backup-simplify: Simplify (/ (- (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (pow (* +nan.0 (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt +nan.0)))) into (* -1/2 (* (/ (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) (sqrt +nan.0)) (sqrt (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) 1545992925.909 * [misc]backup-simplify: Simplify (* -1/2 (* (/ (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) (sqrt +nan.0)) (sqrt (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into (* 1/2 (* (/ (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) (sqrt +nan.0)) (sqrt (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) 1545992925.914 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (/ (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (sqrt +nan.0)) (sqrt (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (* +nan.0 (* (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))) (/ 1 (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (sqrt (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))) (sqrt +nan.0)))) into (- (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (sqrt +nan.0)) (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (sqrt +nan.0) k)))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (sqrt +nan.0) (pow k 2))))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))) 1545992925.915 * * * [misc]progress: simplifying candidates 1545992925.915 * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # 1545992925.915 * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # 1545992925.915 * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # 1545992925.915 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992925.915 * * [misc]simplify: iters left: 6 (9 enodes) 1545992925.919 * * [misc]simplify: iters left: 5 (16 enodes) 1545992925.924 * * [misc]simplify: iters left: 4 (32 enodes) 1545992925.932 * * [misc]simplify: iters left: 3 (72 enodes) 1545992925.952 * * [misc]simplify: iters left: 2 (195 enodes) 1545992926.035 * * [misc]simplify: iters left: 1 (418 enodes) 1545992926.237 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992926.237 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))) 1545992926.237 * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # 1545992926.237 * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # 1545992926.237 * [enter]simplify: Simplifying (* n 2) 1545992926.237 * * [misc]simplify: iters left: 2 (3 enodes) 1545992926.238 * * [misc]simplify: iters left: 1 (4 enodes) 1545992926.239 * [exit]simplify: Simplified to (* n 2) 1545992926.240 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k))))) 1545992926.240 * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # 1545992926.240 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545992926.240 * * [misc]simplify: iters left: 3 (6 enodes) 1545992926.242 * * [misc]simplify: iters left: 2 (7 enodes) 1545992926.244 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545992926.244 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))))) 1545992926.244 * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # 1545992926.244 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992926.244 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.246 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.248 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.251 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992926.251 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))))) 1545992926.251 * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # 1545992926.252 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992926.252 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.253 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.256 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.259 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992926.259 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))))) 1545992926.259 * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # 1545992926.259 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992926.259 * * [misc]simplify: iters left: 4 (5 enodes) 1545992926.260 * * [misc]simplify: iters left: 3 (7 enodes) 1545992926.261 * * [misc]simplify: iters left: 2 (10 enodes) 1545992926.262 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992926.262 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.262 * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # 1545992926.262 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992926.262 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.263 * * [misc]simplify: iters left: 4 (10 enodes) 1545992926.265 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992926.265 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k))))) 1545992926.265 * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # 1545992926.265 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992926.265 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.266 * * [misc]simplify: iters left: 4 (10 enodes) 1545992926.267 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992926.267 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k))))) 1545992926.267 * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # 1545992926.268 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545992926.268 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.269 * * [misc]simplify: iters left: 4 (9 enodes) 1545992926.270 * * [misc]simplify: iters left: 3 (12 enodes) 1545992926.271 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545992926.271 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))))) 1545992926.271 * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # 1545992926.272 * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # 1545992926.272 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992926.272 * * [misc]simplify: iters left: 6 (9 enodes) 1545992926.274 * * [misc]simplify: iters left: 5 (16 enodes) 1545992926.277 * * [misc]simplify: iters left: 4 (32 enodes) 1545992926.286 * * [misc]simplify: iters left: 3 (72 enodes) 1545992926.319 * * [misc]simplify: iters left: 2 (195 enodes) 1545992926.379 * * [misc]simplify: iters left: 1 (418 enodes) 1545992926.612 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545992926.612 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.612 * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # 1545992926.612 * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # 1545992926.612 * [enter]simplify: Simplifying (* n 2) 1545992926.612 * * [misc]simplify: iters left: 2 (3 enodes) 1545992926.613 * * [misc]simplify: iters left: 1 (4 enodes) 1545992926.613 * [exit]simplify: Simplified to (* n 2) 1545992926.613 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.613 * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # 1545992926.613 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545992926.613 * * [misc]simplify: iters left: 3 (6 enodes) 1545992926.614 * * [misc]simplify: iters left: 2 (7 enodes) 1545992926.615 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545992926.615 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.616 * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # 1545992926.616 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992926.616 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.617 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.618 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.619 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992926.619 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.619 * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # 1545992926.619 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992926.619 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.620 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.621 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.623 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992926.623 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.623 * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # 1545992926.623 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992926.623 * * [misc]simplify: iters left: 4 (5 enodes) 1545992926.624 * * [misc]simplify: iters left: 3 (7 enodes) 1545992926.625 * * [misc]simplify: iters left: 2 (10 enodes) 1545992926.626 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992926.626 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.626 * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # 1545992926.626 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992926.627 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.628 * * [misc]simplify: iters left: 4 (10 enodes) 1545992926.629 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992926.629 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.629 * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # 1545992926.629 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545992926.629 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.631 * * [misc]simplify: iters left: 4 (10 enodes) 1545992926.632 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545992926.632 * [misc]simplify: Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.632 * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # 1545992926.632 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545992926.632 * * [misc]simplify: iters left: 5 (7 enodes) 1545992926.633 * * [misc]simplify: iters left: 4 (9 enodes) 1545992926.635 * * [misc]simplify: iters left: 3 (12 enodes) 1545992926.636 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545992926.636 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.636 * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # 1545992926.636 * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # 1545992926.637 * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # 1545992926.637 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545992926.637 * * [misc]simplify: iters left: 3 (5 enodes) 1545992926.638 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545992926.638 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (* (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.638 * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # 1545992926.638 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545992926.638 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.639 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.640 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.641 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545992926.641 * [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)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.641 * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # 1545992926.642 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545992926.642 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.642 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.644 * * [misc]simplify: iters left: 3 (11 enodes) 1545992926.647 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545992926.647 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.647 * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # 1545992926.647 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545992926.647 * * [misc]simplify: iters left: 4 (5 enodes) 1545992926.649 * * [misc]simplify: iters left: 3 (7 enodes) 1545992926.651 * * [misc]simplify: iters left: 2 (10 enodes) 1545992926.654 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545992926.654 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (* (pow (pow PI 1) (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.654 * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # 1545992926.655 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545992926.655 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.656 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.659 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545992926.659 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.659 * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # 1545992926.659 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545992926.659 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.661 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.663 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545992926.663 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.663 * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # 1545992926.663 * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # 1545992926.663 * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # 1545992926.663 * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # 1545992926.663 * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # 1545992926.664 * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # 1545992926.664 * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992926.665 * * [misc]simplify: iters left: 6 (13 enodes) 1545992926.669 * * [misc]simplify: iters left: 5 (17 enodes) 1545992926.673 * * [misc]simplify: iters left: 4 (20 enodes) 1545992926.679 * [exit]simplify: Simplified to (fabs (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992926.679 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (fabs (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))) 1545992926.679 * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # 1545992926.679 * [enter]simplify: Simplifying (sqrt (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992926.680 * * [misc]simplify: iters left: 6 (12 enodes) 1545992926.683 * * [misc]simplify: iters left: 5 (15 enodes) 1545992926.688 * * [misc]simplify: iters left: 4 (18 enodes) 1545992926.693 * [exit]simplify: Simplified to (sqrt (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545992926.693 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))))) 1545992926.693 * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # 1545992926.693 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.693 * * [misc]simplify: iters left: 6 (11 enodes) 1545992926.697 * * [misc]simplify: iters left: 5 (15 enodes) 1545992926.701 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.701 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1545992926.701 * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # 1545992926.701 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) 1545992926.701 * * [misc]simplify: iters left: 6 (10 enodes) 1545992926.704 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.711 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1545992926.711 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1545992926.711 * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # 1545992926.711 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) 1)) 1545992926.712 * * [misc]simplify: iters left: 6 (8 enodes) 1545992926.714 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.718 * * [misc]simplify: iters left: 4 (14 enodes) 1545992926.721 * [exit]simplify: Simplified to (sqrt (sqrt (* n 2))) 1545992926.721 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (* n 2))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1545992926.721 * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # 1545992926.721 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.721 * * [misc]simplify: iters left: 6 (11 enodes) 1545992926.725 * * [misc]simplify: iters left: 5 (15 enodes) 1545992926.729 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.729 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))))))) 1545992926.729 * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # 1545992926.730 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) 1545992926.730 * * [misc]simplify: iters left: 6 (10 enodes) 1545992926.733 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.736 * [exit]simplify: Simplified to (sqrt (/ (sqrt (* n 2)) (sqrt (sqrt k)))) 1545992926.736 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))))))) 1545992926.736 * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # 1545992926.737 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) 1/2) 1)) 1545992926.737 * * [misc]simplify: iters left: 6 (8 enodes) 1545992926.739 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.743 * * [misc]simplify: iters left: 4 (14 enodes) 1545992926.746 * [exit]simplify: Simplified to (sqrt (sqrt (* n 2))) 1545992926.746 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (* n 2))) (sqrt (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))))) 1545992926.746 * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # 1545992926.747 * [enter]simplify: Simplifying (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.747 * * [misc]simplify: iters left: 6 (12 enodes) 1545992926.751 * * [misc]simplify: iters left: 5 (16 enodes) 1545992926.756 * * [misc]simplify: iters left: 4 (19 enodes) 1545992926.761 * [exit]simplify: Simplified to (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.761 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1545992926.761 * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # 1545992926.762 * [enter]simplify: Simplifying (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545992926.762 * * [misc]simplify: iters left: 6 (11 enodes) 1545992926.765 * * [misc]simplify: iters left: 5 (13 enodes) 1545992926.768 * * [misc]simplify: iters left: 4 (16 enodes) 1545992926.770 * [exit]simplify: Simplified to (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545992926.771 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1545992926.771 * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # 1545992926.771 * [enter]simplify: Simplifying (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) 1545992926.771 * * [misc]simplify: iters left: 6 (10 enodes) 1545992926.772 * * [misc]simplify: iters left: 5 (14 enodes) 1545992926.775 * * [misc]simplify: iters left: 4 (19 enodes) 1545992926.777 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1545992926.777 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))))) 1545992926.777 * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # 1545992926.777 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.777 * * [misc]simplify: iters left: 6 (15 enodes) 1545992926.779 * * [misc]simplify: iters left: 5 (24 enodes) 1545992926.783 * * [misc]simplify: iters left: 4 (37 enodes) 1545992926.788 * * [misc]simplify: iters left: 3 (40 enodes) 1545992926.793 * * [misc]simplify: iters left: 2 (43 enodes) 1545992926.799 * [exit]simplify: Simplified to (fabs (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545992926.799 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (fabs (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1545992926.799 * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # 1545992926.799 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1545992926.799 * * [misc]simplify: iters left: 6 (14 enodes) 1545992926.801 * * [misc]simplify: iters left: 5 (19 enodes) 1545992926.804 * * [misc]simplify: iters left: 4 (24 enodes) 1545992926.811 * * [misc]simplify: iters left: 3 (25 enodes) 1545992926.817 * [exit]simplify: Simplified to (sqrt (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545992926.817 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (sqrt (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1545992926.817 * * * * [misc]progress: [ 76 / 101 ] simplifiying candidate # 1545992926.818 * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) 1545992926.818 * * [misc]simplify: iters left: 6 (13 enodes) 1545992926.822 * * [misc]simplify: iters left: 5 (20 enodes) 1545992926.830 * * [misc]simplify: iters left: 4 (30 enodes) 1545992926.837 * * [misc]simplify: iters left: 3 (32 enodes) 1545992926.843 * * [misc]simplify: iters left: 2 (37 enodes) 1545992926.852 * [exit]simplify: Simplified to (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992926.852 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (fabs (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1545992926.852 * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # 1545992926.853 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.853 * * [misc]simplify: iters left: 6 (14 enodes) 1545992926.857 * * [misc]simplify: iters left: 5 (19 enodes) 1545992926.862 * * [misc]simplify: iters left: 4 (22 enodes) 1545992926.869 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.869 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))) 1545992926.869 * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # 1545992926.869 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545992926.869 * * [misc]simplify: iters left: 6 (13 enodes) 1545992926.873 * * [misc]simplify: iters left: 5 (16 enodes) 1545992926.878 * * [misc]simplify: iters left: 4 (19 enodes) 1545992926.884 * [exit]simplify: Simplified to (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545992926.884 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))) 1545992926.884 * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # 1545992926.884 * [enter]simplify: Simplifying (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) 1545992926.884 * * [misc]simplify: iters left: 6 (12 enodes) 1545992926.888 * * [misc]simplify: iters left: 5 (17 enodes) 1545992926.894 * * [misc]simplify: iters left: 4 (22 enodes) 1545992926.899 * [exit]simplify: Simplified to (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545992926.899 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))))) 1545992926.899 * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # 1545992926.899 * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545992926.899 * * [misc]simplify: iters left: 6 (7 enodes) 1545992926.902 * * [misc]simplify: iters left: 5 (11 enodes) 1545992926.905 * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545992926.905 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1545992926.905 * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # 1545992926.905 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt k)))) 1545992926.905 * * [misc]simplify: iters left: 5 (6 enodes) 1545992926.907 * * [misc]simplify: iters left: 4 (8 enodes) 1545992926.909 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt k)))) 1545992926.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1545992926.909 * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # 1545992926.910 * [enter]simplify: Simplifying (sqrt (/ 1 1)) 1545992926.910 * * [misc]simplify: iters left: 3 (3 enodes) 1545992926.911 * * [misc]simplify: iters left: 2 (5 enodes) 1545992926.912 * [exit]simplify: Simplified to 1 1545992926.912 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* 1 (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1545992926.912 * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # 1545992926.913 * [enter]simplify: Simplifying (sqrt 1) 1545992926.913 * * [misc]simplify: iters left: 1 (2 enodes) 1545992926.914 * [exit]simplify: Simplified to 1 1545992926.914 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* 1 (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1545992926.914 * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # 1545992926.914 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992926.914 * * [misc]simplify: iters left: 6 (9 enodes) 1545992926.917 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.920 * * [misc]simplify: iters left: 4 (15 enodes) 1545992926.922 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992926.922 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 1545992926.922 * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # 1545992926.922 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992926.922 * * [misc]simplify: iters left: 6 (9 enodes) 1545992926.924 * * [misc]simplify: iters left: 5 (12 enodes) 1545992926.925 * * [misc]simplify: iters left: 4 (15 enodes) 1545992926.927 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545992926.927 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545992926.927 * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # 1545992926.927 * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # 1545992926.928 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992926.928 * * [misc]simplify: iters left: 6 (11 enodes) 1545992926.929 * * [misc]simplify: iters left: 5 (14 enodes) 1545992926.931 * * [misc]simplify: iters left: 4 (17 enodes) 1545992926.933 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545992926.933 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (fabs (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1545992926.933 * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # 1545992926.934 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992926.934 * * [misc]simplify: iters left: 6 (12 enodes) 1545992926.935 * * [misc]simplify: iters left: 5 (15 enodes) 1545992926.937 * * [misc]simplify: iters left: 4 (18 enodes) 1545992926.940 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545992926.940 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (fabs (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545992926.940 * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # 1545992926.940 * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # 1545992926.940 * [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))))) 1545992926.940 * * [misc]simplify: iters left: 6 (35 enodes) 1545992926.948 * * [misc]simplify: iters left: 5 (102 enodes) 1545992926.996 * * [misc]simplify: iters left: 4 (321 enodes) 1545992927.214 * [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)))))) 1545992927.215 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (+ (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))))) 1545992927.215 * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # 1545992927.215 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545992927.215 * * [misc]simplify: iters left: 6 (13 enodes) 1545992927.218 * * [misc]simplify: iters left: 5 (27 enodes) 1545992927.222 * * [misc]simplify: iters left: 4 (53 enodes) 1545992927.232 * * [misc]simplify: iters left: 3 (124 enodes) 1545992927.273 * * [misc]simplify: iters left: 2 (394 enodes) 1545992927.868 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545992927.868 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k))))) 1545992927.868 * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # 1545992927.869 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545992927.869 * * [misc]simplify: iters left: 6 (13 enodes) 1545992927.871 * * [misc]simplify: iters left: 5 (24 enodes) 1545992927.876 * * [misc]simplify: iters left: 4 (54 enodes) 1545992927.890 * * [misc]simplify: iters left: 3 (151 enodes) 1545992927.968 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545992927.968 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))))) 1545992927.968 * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # 1545992927.969 * [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))))) 1545992927.969 * * [misc]simplify: iters left: 6 (35 enodes) 1545992927.979 * * [misc]simplify: iters left: 5 (102 enodes) 1545992928.002 * * [misc]simplify: iters left: 4 (321 enodes) 1545992928.188 * [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)))))) 1545992928.188 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (+ (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)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992928.188 * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # 1545992928.188 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545992928.189 * * [misc]simplify: iters left: 6 (13 enodes) 1545992928.193 * * [misc]simplify: iters left: 5 (27 enodes) 1545992928.198 * * [misc]simplify: iters left: 4 (53 enodes) 1545992928.207 * * [misc]simplify: iters left: 3 (124 enodes) 1545992928.262 * * [misc]simplify: iters left: 2 (394 enodes) 1545992929.168 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545992929.169 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992929.169 * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # 1545992929.169 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545992929.169 * * [misc]simplify: iters left: 6 (13 enodes) 1545992929.172 * * [misc]simplify: iters left: 5 (24 enodes) 1545992929.178 * * [misc]simplify: iters left: 4 (54 enodes) 1545992929.199 * * [misc]simplify: iters left: 3 (151 enodes) 1545992929.282 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545992929.282 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992929.282 * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # 1545992929.283 * [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)))) 1545992929.283 * * [misc]simplify: iters left: 6 (18 enodes) 1545992929.293 * * [misc]simplify: iters left: 5 (39 enodes) 1545992929.309 * * [misc]simplify: iters left: 4 (110 enodes) 1545992929.360 * * [misc]simplify: iters left: 3 (321 enodes) 1545992929.526 * [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))) 1545992929.527 * [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))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992929.527 * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # 1545992929.527 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545992929.527 * * [misc]simplify: iters left: 5 (6 enodes) 1545992929.528 * * [misc]simplify: iters left: 4 (9 enodes) 1545992929.530 * * [misc]simplify: iters left: 3 (17 enodes) 1545992929.532 * * [misc]simplify: iters left: 2 (24 enodes) 1545992929.535 * * [misc]simplify: iters left: 1 (28 enodes) 1545992929.542 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545992929.542 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (pow PI (fma k -1/2 1/2)) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992929.542 * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # 1545992929.543 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545992929.543 * * [misc]simplify: iters left: 5 (6 enodes) 1545992929.544 * * [misc]simplify: iters left: 4 (9 enodes) 1545992929.550 * * [misc]simplify: iters left: 3 (17 enodes) 1545992929.555 * * [misc]simplify: iters left: 2 (24 enodes) 1545992929.561 * * [misc]simplify: iters left: 1 (28 enodes) 1545992929.574 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545992929.574 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (pow PI (fma k -1/2 1/2)) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545992929.574 * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # 1545992929.575 * [enter]simplify: Simplifying (- (+ (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (/ 1 k) 1/4)) (+ (* 1/32 (* (pow (log 2) 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 7) 1/4)))) (+ (* 1/32 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (pow (log n) 2) (pow (pow k 7) 1/4)))) (* 1/16 (* (* (log 2) (log n)) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 7) 1/4))))))) (+ (* 1/4 (* (log 2) (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (pow (pow k 3) 1/4)))) (* 1/4 (* (sqrt (exp (* 1/2 (+ (log 2) (log n))))) (* (log n) (pow (pow k 3) 1/4)))))) 1545992929.575 * * [misc]simplify: iters left: 6 (45 enodes) 1545992929.594 * * [misc]simplify: iters left: 5 (120 enodes) 1545992929.635 * * [misc]simplify: iters left: 4 (339 enodes) 1545992929.799 * [exit]simplify: Simplified to (fma -1/4 (* (pow (pow k 3) 1/4) (* (sqrt (* (pow 2 1/2) (pow n 1/2))) (+ (log 2) (log n)))) (fma 1/32 (* (* (sqrt (* (pow 2 1/2) (pow n 1/2))) (pow (pow k 7) 1/4)) (+ (* (log 2) (log 2)) (* (log n) (log n)))) (fma (* (* (* (log n) (log 2)) (pow (pow k 7) 1/4)) (sqrt (* (pow 2 1/2) (pow n 1/2)))) 1/16 (* (pow (/ 1 k) 1/4) (sqrt (* (pow 2 1/2) (pow n 1/2))))))) 1545992929.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (fma -1/4 (* (pow (pow k 3) 1/4) (* (sqrt (* (pow 2 1/2) (pow n 1/2))) (+ (log 2) (log n)))) (fma 1/32 (* (* (sqrt (* (pow 2 1/2) (pow n 1/2))) (pow (pow k 7) 1/4)) (+ (* (log 2) (log 2)) (* (log n) (log n)))) (fma (* (* (* (log n) (log 2)) (pow (pow k 7) 1/4)) (sqrt (* (pow 2 1/2) (pow n 1/2)))) 1/16 (* (pow (/ 1 k) 1/4) (sqrt (* (pow 2 1/2) (pow n 1/2))))))))) 1545992929.799 * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # 1545992929.799 * [enter]simplify: Simplifying (* (sqrt (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow (/ 1 k) 1/4)) 1545992929.799 * * [misc]simplify: iters left: 6 (18 enodes) 1545992929.803 * * [misc]simplify: iters left: 5 (33 enodes) 1545992929.808 * * [misc]simplify: iters left: 4 (59 enodes) 1545992929.825 * * [misc]simplify: iters left: 3 (130 enodes) 1545992929.907 * * [misc]simplify: iters left: 2 (400 enodes) 1545992930.376 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (fma -1/2 k 1/2))) (pow (/ 1 k) 1/4)) 1545992930.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (pow (* n 2) (fma -1/2 k 1/2))) (pow (/ 1 k) 1/4)))) 1545992930.376 * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # 1545992930.377 * [enter]simplify: Simplifying (- (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (sqrt +nan.0)) (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (sqrt +nan.0) k)))) (- (+ (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (sqrt +nan.0) (pow k 2))))) (- (* +nan.0 (* (sqrt (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))) 1545992930.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) +nan.0)) 1545992930.377 * * * [misc]progress: adding candidates to table 1545992932.040 * [misc]progress: [Phase 3 of 3] Extracting. 1545992932.040 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1545992932.042 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545992932.042 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1545992932.102 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1545992932.155 * * * [misc]regime: Found split indices: #