1545304410.625 * [misc]progress: [Phase 1 of 3] Setting up. 1545304410.626 * * * [misc]progress: [1/2] Preparing points 1545304410.626 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545304410.719 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.719 * * * * [misc]points: Sampling 189 additional inputs, on iter 1 have 67 / 256 1545304410.796 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.796 * * * * [misc]points: Sampling 138 additional inputs, on iter 2 have 118 / 256 1545304410.832 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.832 * * * * [misc]points: Sampling 102 additional inputs, on iter 3 have 154 / 256 1545304410.864 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.864 * * * * [misc]points: Sampling 81 additional inputs, on iter 4 have 175 / 256 1545304410.902 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.902 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1545304410.977 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304410.977 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1545304411.001 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.001 * * * * [misc]points: Sampling 32 additional inputs, on iter 7 have 224 / 256 1545304411.018 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.018 * * * * [misc]points: Sampling 26 additional inputs, on iter 8 have 230 / 256 1545304411.033 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.033 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1545304411.047 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.047 * * * * [misc]points: Sampling 17 additional inputs, on iter 10 have 239 / 256 1545304411.053 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.053 * * * * [misc]points: Sampling 13 additional inputs, on iter 11 have 243 / 256 1545304411.058 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.058 * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 1545304411.062 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.062 * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 1545304411.065 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.065 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1545304411.069 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.069 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1545304411.072 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.072 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1545304411.075 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.075 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1545304411.078 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.078 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1545304411.081 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.081 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 253 / 256 1545304411.084 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.084 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 254 / 256 1545304411.087 * * * * [misc]points: Filtering points with unrepresentable outputs 1545304411.087 * * * * [exit]points: Sampled 257 points with exact outputs 1545304411.087 * * * [misc]progress: [2/2] Setting up program. 1545304411.091 * [misc]progress: [Phase 2 of 3] Improving. 1545304411.091 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545304411.091 * * [misc]simplify: iters left: 6 (13 enodes) 1545304411.094 * * [misc]simplify: iters left: 5 (28 enodes) 1545304411.098 * * [misc]simplify: iters left: 4 (44 enodes) 1545304411.136 * * [misc]simplify: iters left: 3 (54 enodes) 1545304411.151 * * [misc]simplify: iters left: 2 (57 enodes) 1545304411.163 * * [misc]simplify: iters left: 1 (65 enodes) 1545304411.173 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545304411.180 * * [misc]progress: iteration 1 / 4 1545304411.180 * * * [misc]progress: picking best candidate 1545304411.187 * * * * [misc]pick: Picked # 1545304411.187 * * * [misc]progress: localizing error 1545304411.208 * * * [misc]progress: generating rewritten candidates 1545304411.208 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545304411.213 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545304411.216 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545304411.228 * * * [misc]progress: generating series expansions 1545304411.228 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545304411.228 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545304411.228 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545304411.228 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.228 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.228 * [misc]taylor: Taking taylor expansion of k in k 1545304411.228 * [misc]backup-simplify: Simplify 0 into 0 1545304411.228 * [misc]backup-simplify: Simplify 1 into 1 1545304411.228 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545304411.228 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.228 * [misc]backup-simplify: Simplify 2 into 2 1545304411.229 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545304411.229 * [misc]taylor: Taking taylor expansion of n in k 1545304411.229 * [misc]backup-simplify: Simplify n into n 1545304411.229 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.229 * [misc]backup-simplify: Simplify PI into PI 1545304411.229 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545304411.229 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545304411.229 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545304411.229 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304411.229 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.229 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.229 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545304411.229 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545304411.229 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545304411.229 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545304411.229 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.230 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.230 * [misc]taylor: Taking taylor expansion of k in n 1545304411.230 * [misc]backup-simplify: Simplify k into k 1545304411.230 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.230 * [misc]backup-simplify: Simplify 2 into 2 1545304411.230 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.230 * [misc]taylor: Taking taylor expansion of n in n 1545304411.230 * [misc]backup-simplify: Simplify 0 into 0 1545304411.230 * [misc]backup-simplify: Simplify 1 into 1 1545304411.230 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.230 * [misc]backup-simplify: Simplify PI into PI 1545304411.230 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304411.230 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545304411.231 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304411.231 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545304411.231 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.231 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545304411.231 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545304411.231 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545304411.232 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.232 * [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)))) 1545304411.233 * [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))))) 1545304411.233 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.233 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.233 * [misc]taylor: Taking taylor expansion of k in n 1545304411.233 * [misc]backup-simplify: Simplify k into k 1545304411.233 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.233 * [misc]backup-simplify: Simplify 2 into 2 1545304411.233 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.233 * [misc]taylor: Taking taylor expansion of n in n 1545304411.233 * [misc]backup-simplify: Simplify 0 into 0 1545304411.233 * [misc]backup-simplify: Simplify 1 into 1 1545304411.233 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.233 * [misc]backup-simplify: Simplify PI into PI 1545304411.233 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304411.233 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545304411.234 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304411.234 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545304411.234 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.234 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545304411.234 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545304411.234 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545304411.235 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.235 * [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)))) 1545304411.236 * [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))))) 1545304411.236 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.236 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.236 * [misc]taylor: Taking taylor expansion of k in k 1545304411.236 * [misc]backup-simplify: Simplify 0 into 0 1545304411.236 * [misc]backup-simplify: Simplify 1 into 1 1545304411.236 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of n in k 1545304411.236 * [misc]backup-simplify: Simplify n into n 1545304411.236 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.236 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304411.236 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.236 * [misc]backup-simplify: Simplify 2 into 2 1545304411.236 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.236 * [misc]backup-simplify: Simplify PI into PI 1545304411.236 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.237 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.237 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304411.237 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.237 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.237 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.237 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545304411.238 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545304411.238 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545304411.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304411.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545304411.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.241 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545304411.241 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.242 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.242 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545304411.243 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.243 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.243 * [misc]backup-simplify: Simplify 0 into 0 1545304411.243 * [misc]backup-simplify: Simplify 0 into 0 1545304411.244 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304411.244 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304411.246 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.246 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.246 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304411.246 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.247 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545304411.248 * [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))))))) 1545304411.249 * [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))))))) 1545304411.250 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545304411.253 * [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 1545304411.254 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304411.254 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.254 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.255 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545304411.256 * [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 1545304411.256 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.256 * [misc]backup-simplify: Simplify 0 into 0 1545304411.256 * [misc]backup-simplify: Simplify 0 into 0 1545304411.256 * [misc]backup-simplify: Simplify 0 into 0 1545304411.257 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304411.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.262 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545304411.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.262 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304411.262 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545304411.266 * [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))))) 1545304411.268 * [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))))) 1545304411.273 * [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))))) 1545304411.274 * [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)))) 1545304411.274 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545304411.274 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.274 * [misc]taylor: Taking taylor expansion of k in k 1545304411.274 * [misc]backup-simplify: Simplify 0 into 0 1545304411.274 * [misc]backup-simplify: Simplify 1 into 1 1545304411.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.275 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545304411.275 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545304411.275 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.275 * [misc]backup-simplify: Simplify 2 into 2 1545304411.275 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545304411.275 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.275 * [misc]backup-simplify: Simplify PI into PI 1545304411.275 * [misc]taylor: Taking taylor expansion of n in k 1545304411.275 * [misc]backup-simplify: Simplify n into n 1545304411.275 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545304411.275 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545304411.275 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545304411.275 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.276 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.276 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.276 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545304411.276 * [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)))) 1545304411.276 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of k in n 1545304411.276 * [misc]backup-simplify: Simplify k into k 1545304411.276 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.276 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545304411.276 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.277 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.277 * [misc]backup-simplify: Simplify 2 into 2 1545304411.277 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.277 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.277 * [misc]backup-simplify: Simplify PI into PI 1545304411.277 * [misc]taylor: Taking taylor expansion of n in n 1545304411.277 * [misc]backup-simplify: Simplify 0 into 0 1545304411.277 * [misc]backup-simplify: Simplify 1 into 1 1545304411.277 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.277 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.278 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.278 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545304411.278 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545304411.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.280 * [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))) 1545304411.280 * [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)))) 1545304411.280 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545304411.280 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of k in n 1545304411.281 * [misc]backup-simplify: Simplify k into k 1545304411.281 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.281 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.281 * [misc]backup-simplify: Simplify 2 into 2 1545304411.281 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.281 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.281 * [misc]backup-simplify: Simplify PI into PI 1545304411.281 * [misc]taylor: Taking taylor expansion of n in n 1545304411.281 * [misc]backup-simplify: Simplify 0 into 0 1545304411.281 * [misc]backup-simplify: Simplify 1 into 1 1545304411.281 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.282 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.282 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.282 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.283 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545304411.283 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545304411.283 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.284 * [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))) 1545304411.285 * [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)))) 1545304411.285 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.285 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of k in k 1545304411.285 * [misc]backup-simplify: Simplify 0 into 0 1545304411.285 * [misc]backup-simplify: Simplify 1 into 1 1545304411.285 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.285 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304411.285 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304411.286 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.286 * [misc]backup-simplify: Simplify 2 into 2 1545304411.286 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.286 * [misc]backup-simplify: Simplify PI into PI 1545304411.286 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.286 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.286 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.286 * [misc]taylor: Taking taylor expansion of n in k 1545304411.286 * [misc]backup-simplify: Simplify n into n 1545304411.287 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.287 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.287 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.287 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.287 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304411.288 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545304411.288 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545304411.289 * [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)))) 1545304411.290 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545304411.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.292 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304411.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.295 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545304411.295 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.296 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.297 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545304411.298 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.299 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.299 * [misc]backup-simplify: Simplify 0 into 0 1545304411.299 * [misc]backup-simplify: Simplify 0 into 0 1545304411.299 * [misc]backup-simplify: Simplify 0 into 0 1545304411.301 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.306 * [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 1545304411.307 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.307 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304411.307 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.308 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.309 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545304411.311 * [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 1545304411.311 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.311 * [misc]backup-simplify: Simplify 0 into 0 1545304411.311 * [misc]backup-simplify: Simplify 0 into 0 1545304411.311 * [misc]backup-simplify: Simplify 0 into 0 1545304411.311 * [misc]backup-simplify: Simplify 0 into 0 1545304411.313 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.315 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.323 * [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 1545304411.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.324 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304411.324 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.324 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.326 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545304411.329 * [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 1545304411.329 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.329 * [misc]backup-simplify: Simplify 0 into 0 1545304411.329 * [misc]backup-simplify: Simplify 0 into 0 1545304411.330 * [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))))) 1545304411.331 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304411.331 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545304411.331 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of k in k 1545304411.331 * [misc]backup-simplify: Simplify 0 into 0 1545304411.331 * [misc]backup-simplify: Simplify 1 into 1 1545304411.331 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.331 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of -2 in k 1545304411.331 * [misc]backup-simplify: Simplify -2 into -2 1545304411.331 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545304411.331 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.331 * [misc]backup-simplify: Simplify PI into PI 1545304411.331 * [misc]taylor: Taking taylor expansion of n in k 1545304411.331 * [misc]backup-simplify: Simplify n into n 1545304411.331 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545304411.332 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545304411.332 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545304411.332 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.332 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.332 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545304411.332 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1545304411.332 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545304411.332 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545304411.332 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545304411.332 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of k in n 1545304411.333 * [misc]backup-simplify: Simplify k into k 1545304411.333 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.333 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.333 * [misc]backup-simplify: Simplify -2 into -2 1545304411.333 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.333 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.333 * [misc]backup-simplify: Simplify PI into PI 1545304411.333 * [misc]taylor: Taking taylor expansion of n in n 1545304411.333 * [misc]backup-simplify: Simplify 0 into 0 1545304411.333 * [misc]backup-simplify: Simplify 1 into 1 1545304411.334 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.334 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.334 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.334 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304411.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.336 * [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))) 1545304411.336 * [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)))) 1545304411.336 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545304411.336 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545304411.336 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of k in n 1545304411.337 * [misc]backup-simplify: Simplify k into k 1545304411.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.337 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.337 * [misc]backup-simplify: Simplify -2 into -2 1545304411.337 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.337 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.337 * [misc]backup-simplify: Simplify PI into PI 1545304411.337 * [misc]taylor: Taking taylor expansion of n in n 1545304411.337 * [misc]backup-simplify: Simplify 0 into 0 1545304411.337 * [misc]backup-simplify: Simplify 1 into 1 1545304411.337 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.338 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.338 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.338 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.338 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304411.339 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.340 * [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))) 1545304411.340 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545304411.340 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545304411.340 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545304411.340 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304411.340 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.340 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.340 * [misc]taylor: Taking taylor expansion of k in k 1545304411.341 * [misc]backup-simplify: Simplify 0 into 0 1545304411.341 * [misc]backup-simplify: Simplify 1 into 1 1545304411.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.341 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545304411.341 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545304411.341 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545304411.341 * [misc]taylor: Taking taylor expansion of -2 in k 1545304411.341 * [misc]backup-simplify: Simplify -2 into -2 1545304411.341 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.341 * [misc]backup-simplify: Simplify PI into PI 1545304411.341 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.342 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.342 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.342 * [misc]taylor: Taking taylor expansion of n in k 1545304411.342 * [misc]backup-simplify: Simplify n into n 1545304411.342 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.342 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.342 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304411.343 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545304411.343 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545304411.344 * [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)))) 1545304411.345 * [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)))) 1545304411.346 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.346 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545304411.349 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545304411.349 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545304411.350 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.351 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545304411.352 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.352 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.353 * [misc]backup-simplify: Simplify 0 into 0 1545304411.353 * [misc]backup-simplify: Simplify 0 into 0 1545304411.353 * [misc]backup-simplify: Simplify 0 into 0 1545304411.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.355 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.360 * [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 1545304411.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304411.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.363 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545304411.365 * [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 1545304411.365 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.365 * [misc]backup-simplify: Simplify 0 into 0 1545304411.365 * [misc]backup-simplify: Simplify 0 into 0 1545304411.365 * [misc]backup-simplify: Simplify 0 into 0 1545304411.365 * [misc]backup-simplify: Simplify 0 into 0 1545304411.367 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.369 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.380 * [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 1545304411.380 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304411.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.381 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.382 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545304411.386 * [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 1545304411.386 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.386 * [misc]backup-simplify: Simplify 0 into 0 1545304411.386 * [misc]backup-simplify: Simplify 0 into 0 1545304411.387 * [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))))) 1545304411.387 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545304411.388 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545304411.388 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545304411.388 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.388 * [misc]backup-simplify: Simplify 2 into 2 1545304411.388 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.388 * [misc]taylor: Taking taylor expansion of n in n 1545304411.388 * [misc]backup-simplify: Simplify 0 into 0 1545304411.388 * [misc]backup-simplify: Simplify 1 into 1 1545304411.388 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.388 * [misc]backup-simplify: Simplify PI into PI 1545304411.388 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.388 * [misc]backup-simplify: Simplify 2 into 2 1545304411.388 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.388 * [misc]taylor: Taking taylor expansion of n in n 1545304411.388 * [misc]backup-simplify: Simplify 0 into 0 1545304411.388 * [misc]backup-simplify: Simplify 1 into 1 1545304411.388 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.388 * [misc]backup-simplify: Simplify PI into PI 1545304411.389 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304411.389 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545304411.389 * [misc]backup-simplify: Simplify 0 into 0 1545304411.390 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304411.390 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545304411.390 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.392 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304411.393 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545304411.393 * [misc]backup-simplify: Simplify 0 into 0 1545304411.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545304411.397 * [misc]backup-simplify: Simplify 0 into 0 1545304411.399 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545304411.401 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545304411.401 * [misc]backup-simplify: Simplify 0 into 0 1545304411.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545304411.406 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545304411.406 * [misc]backup-simplify: Simplify 0 into 0 1545304411.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545304411.414 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545304411.414 * [misc]backup-simplify: Simplify 0 into 0 1545304411.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545304411.422 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545304411.422 * [misc]backup-simplify: Simplify 0 into 0 1545304411.423 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545304411.423 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545304411.423 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545304411.423 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.423 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.423 * [misc]backup-simplify: Simplify 2 into 2 1545304411.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.423 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.423 * [misc]backup-simplify: Simplify PI into PI 1545304411.423 * [misc]taylor: Taking taylor expansion of n in n 1545304411.423 * [misc]backup-simplify: Simplify 0 into 0 1545304411.423 * [misc]backup-simplify: Simplify 1 into 1 1545304411.424 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.424 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.424 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.424 * [misc]backup-simplify: Simplify 2 into 2 1545304411.424 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.424 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.424 * [misc]backup-simplify: Simplify PI into PI 1545304411.424 * [misc]taylor: Taking taylor expansion of n in n 1545304411.424 * [misc]backup-simplify: Simplify 0 into 0 1545304411.424 * [misc]backup-simplify: Simplify 1 into 1 1545304411.424 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.424 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.425 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.426 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304411.426 * [misc]backup-simplify: Simplify 0 into 0 1545304411.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.429 * [misc]backup-simplify: Simplify 0 into 0 1545304411.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.432 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.432 * [misc]backup-simplify: Simplify 0 into 0 1545304411.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.436 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545304411.436 * [misc]backup-simplify: Simplify 0 into 0 1545304411.438 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.441 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545304411.441 * [misc]backup-simplify: Simplify 0 into 0 1545304411.443 * [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 1545304411.447 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545304411.447 * [misc]backup-simplify: Simplify 0 into 0 1545304411.447 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545304411.447 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545304411.447 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545304411.447 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.447 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.447 * [misc]backup-simplify: Simplify -2 into -2 1545304411.447 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.447 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.448 * [misc]backup-simplify: Simplify PI into PI 1545304411.448 * [misc]taylor: Taking taylor expansion of n in n 1545304411.448 * [misc]backup-simplify: Simplify 0 into 0 1545304411.448 * [misc]backup-simplify: Simplify 1 into 1 1545304411.448 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.448 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.448 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.448 * [misc]backup-simplify: Simplify -2 into -2 1545304411.448 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.448 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.448 * [misc]backup-simplify: Simplify PI into PI 1545304411.448 * [misc]taylor: Taking taylor expansion of n in n 1545304411.448 * [misc]backup-simplify: Simplify 0 into 0 1545304411.448 * [misc]backup-simplify: Simplify 1 into 1 1545304411.448 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.449 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.449 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.451 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545304411.451 * [misc]backup-simplify: Simplify 0 into 0 1545304411.452 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.453 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.453 * [misc]backup-simplify: Simplify 0 into 0 1545304411.455 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.456 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.456 * [misc]backup-simplify: Simplify 0 into 0 1545304411.458 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.461 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545304411.461 * [misc]backup-simplify: Simplify 0 into 0 1545304411.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.466 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545304411.466 * [misc]backup-simplify: Simplify 0 into 0 1545304411.469 * [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 1545304411.472 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545304411.472 * [misc]backup-simplify: Simplify 0 into 0 1545304411.473 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545304411.473 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545304411.473 * [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)))) 1545304411.473 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545304411.473 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545304411.473 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304411.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.473 * [misc]taylor: Taking taylor expansion of k in k 1545304411.473 * [misc]backup-simplify: Simplify 0 into 0 1545304411.474 * [misc]backup-simplify: Simplify 1 into 1 1545304411.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.474 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.475 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304411.475 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.475 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.475 * [misc]taylor: Taking taylor expansion of k in k 1545304411.475 * [misc]backup-simplify: Simplify 0 into 0 1545304411.475 * [misc]backup-simplify: Simplify 1 into 1 1545304411.475 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.475 * [misc]backup-simplify: Simplify 2 into 2 1545304411.475 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545304411.475 * [misc]taylor: Taking taylor expansion of n in k 1545304411.475 * [misc]backup-simplify: Simplify n into n 1545304411.475 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.475 * [misc]backup-simplify: Simplify PI into PI 1545304411.475 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545304411.475 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545304411.476 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545304411.476 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304411.476 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.476 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.476 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545304411.476 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545304411.476 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545304411.476 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304411.476 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.476 * [misc]taylor: Taking taylor expansion of k in n 1545304411.476 * [misc]backup-simplify: Simplify k into k 1545304411.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.477 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304411.477 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.477 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304411.477 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.477 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.477 * [misc]taylor: Taking taylor expansion of k in n 1545304411.477 * [misc]backup-simplify: Simplify k into k 1545304411.477 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.477 * [misc]backup-simplify: Simplify 2 into 2 1545304411.477 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.477 * [misc]taylor: Taking taylor expansion of n in n 1545304411.477 * [misc]backup-simplify: Simplify 0 into 0 1545304411.477 * [misc]backup-simplify: Simplify 1 into 1 1545304411.477 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.477 * [misc]backup-simplify: Simplify PI into PI 1545304411.478 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304411.478 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545304411.479 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304411.479 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545304411.480 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.480 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545304411.480 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545304411.480 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545304411.481 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.481 * [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)))) 1545304411.482 * [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))))) 1545304411.482 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545304411.482 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304411.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.482 * [misc]taylor: Taking taylor expansion of k in n 1545304411.482 * [misc]backup-simplify: Simplify k into k 1545304411.482 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.482 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304411.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.483 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304411.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.483 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.483 * [misc]taylor: Taking taylor expansion of k in n 1545304411.483 * [misc]backup-simplify: Simplify k into k 1545304411.483 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.483 * [misc]backup-simplify: Simplify 2 into 2 1545304411.483 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304411.483 * [misc]taylor: Taking taylor expansion of n in n 1545304411.483 * [misc]backup-simplify: Simplify 0 into 0 1545304411.483 * [misc]backup-simplify: Simplify 1 into 1 1545304411.483 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.483 * [misc]backup-simplify: Simplify PI into PI 1545304411.484 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304411.484 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545304411.485 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304411.485 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545304411.486 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.486 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545304411.486 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545304411.486 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545304411.487 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.488 * [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)))) 1545304411.488 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1545304411.489 * [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))) 1545304411.489 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545304411.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545304411.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545304411.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304411.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.490 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304411.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.490 * [misc]taylor: Taking taylor expansion of k in k 1545304411.490 * [misc]backup-simplify: Simplify 0 into 0 1545304411.490 * [misc]backup-simplify: Simplify 1 into 1 1545304411.490 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545304411.490 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.490 * [misc]taylor: Taking taylor expansion of n in k 1545304411.490 * [misc]backup-simplify: Simplify n into n 1545304411.490 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.490 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304411.490 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304411.490 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.490 * [misc]backup-simplify: Simplify 2 into 2 1545304411.490 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.490 * [misc]backup-simplify: Simplify PI into PI 1545304411.490 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.491 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.491 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304411.491 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.491 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.492 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.492 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545304411.493 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545304411.493 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304411.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.493 * [misc]taylor: Taking taylor expansion of k in k 1545304411.493 * [misc]backup-simplify: Simplify 0 into 0 1545304411.493 * [misc]backup-simplify: Simplify 1 into 1 1545304411.493 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.494 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304411.494 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545304411.494 * [misc]backup-simplify: Simplify 0 into 0 1545304411.495 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304411.496 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545304411.498 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545304411.498 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.498 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.499 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545304411.500 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.500 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545304411.500 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.500 * [misc]backup-simplify: Simplify 0 into 0 1545304411.501 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304411.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304411.503 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.503 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304411.503 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.503 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.504 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545304411.505 * [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))))))) 1545304411.506 * [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))))))) 1545304411.506 * [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))))))) 1545304411.507 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545304411.511 * [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 1545304411.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304411.512 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.512 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.513 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545304411.514 * [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 1545304411.515 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.515 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545304411.516 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545304411.516 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.516 * [misc]backup-simplify: Simplify 0 into 0 1545304411.516 * [misc]backup-simplify: Simplify 0 into 0 1545304411.516 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304411.517 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304411.517 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304411.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.522 * [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 1545304411.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304411.523 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.523 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545304411.525 * [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))))) 1545304411.527 * [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)))))))) 1545304411.530 * [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)))))))) 1545304411.532 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545304411.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545304411.542 * [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 1545304411.543 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545304411.543 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.543 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.544 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545304411.545 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545304411.548 * [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 1545304411.549 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.549 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545304411.550 * [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 1545304411.550 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.550 * [misc]backup-simplify: Simplify 0 into 0 1545304411.550 * [misc]backup-simplify: Simplify 0 into 0 1545304411.550 * [misc]backup-simplify: Simplify 0 into 0 1545304411.551 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.552 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304411.554 * [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 1545304411.556 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.564 * [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 1545304411.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304411.565 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545304411.570 * [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))))))) 1545304411.579 * [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)))))))))))))) 1545304411.585 * [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)))))))))))))) 1545304411.598 * [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)))))))))))))))))))))) 1545304411.599 * [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))))) 1545304411.599 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545304411.599 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545304411.599 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304411.599 * [misc]taylor: Taking taylor expansion of k in k 1545304411.599 * [misc]backup-simplify: Simplify 0 into 0 1545304411.599 * [misc]backup-simplify: Simplify 1 into 1 1545304411.599 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.600 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304411.600 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.600 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.600 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.600 * [misc]taylor: Taking taylor expansion of k in k 1545304411.600 * [misc]backup-simplify: Simplify 0 into 0 1545304411.600 * [misc]backup-simplify: Simplify 1 into 1 1545304411.600 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.600 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545304411.601 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545304411.601 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.601 * [misc]backup-simplify: Simplify 2 into 2 1545304411.601 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545304411.601 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.601 * [misc]backup-simplify: Simplify PI into PI 1545304411.601 * [misc]taylor: Taking taylor expansion of n in k 1545304411.601 * [misc]backup-simplify: Simplify n into n 1545304411.601 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545304411.601 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545304411.601 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545304411.601 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.601 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.601 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.601 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545304411.601 * [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)))) 1545304411.601 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545304411.601 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304411.601 * [misc]taylor: Taking taylor expansion of k in n 1545304411.601 * [misc]backup-simplify: Simplify k into k 1545304411.601 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304411.601 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304411.602 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of k in n 1545304411.602 * [misc]backup-simplify: Simplify k into k 1545304411.602 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.602 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.602 * [misc]backup-simplify: Simplify 2 into 2 1545304411.602 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.602 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.602 * [misc]backup-simplify: Simplify PI into PI 1545304411.602 * [misc]taylor: Taking taylor expansion of n in n 1545304411.602 * [misc]backup-simplify: Simplify 0 into 0 1545304411.602 * [misc]backup-simplify: Simplify 1 into 1 1545304411.602 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.602 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.603 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.603 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.603 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545304411.603 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545304411.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.604 * [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))) 1545304411.604 * [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)))) 1545304411.604 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of k in n 1545304411.604 * [misc]backup-simplify: Simplify k into k 1545304411.604 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304411.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304411.604 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.605 * [misc]taylor: Taking taylor expansion of k in n 1545304411.605 * [misc]backup-simplify: Simplify k into k 1545304411.605 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.605 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545304411.605 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545304411.605 * [misc]taylor: Taking taylor expansion of 2 in n 1545304411.605 * [misc]backup-simplify: Simplify 2 into 2 1545304411.605 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.605 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.605 * [misc]backup-simplify: Simplify PI into PI 1545304411.605 * [misc]taylor: Taking taylor expansion of n in n 1545304411.605 * [misc]backup-simplify: Simplify 0 into 0 1545304411.605 * [misc]backup-simplify: Simplify 1 into 1 1545304411.605 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.605 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.605 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.605 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.605 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545304411.606 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545304411.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.607 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545304411.607 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545304411.608 * [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)) 1545304411.608 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.608 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of k in k 1545304411.608 * [misc]backup-simplify: Simplify 0 into 0 1545304411.608 * [misc]backup-simplify: Simplify 1 into 1 1545304411.608 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.608 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304411.608 * [misc]taylor: Taking taylor expansion of 2 in k 1545304411.608 * [misc]backup-simplify: Simplify 2 into 2 1545304411.608 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.608 * [misc]backup-simplify: Simplify PI into PI 1545304411.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304411.609 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304411.609 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.609 * [misc]taylor: Taking taylor expansion of n in k 1545304411.609 * [misc]backup-simplify: Simplify n into n 1545304411.609 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.609 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.609 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304411.609 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304411.609 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304411.609 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545304411.610 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545304411.610 * [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)))) 1545304411.610 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304411.610 * [misc]taylor: Taking taylor expansion of k in k 1545304411.610 * [misc]backup-simplify: Simplify 0 into 0 1545304411.610 * [misc]backup-simplify: Simplify 1 into 1 1545304411.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.611 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304411.611 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545304411.611 * [misc]backup-simplify: Simplify 0 into 0 1545304411.612 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.612 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304411.614 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304411.614 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545304411.615 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.616 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545304411.617 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.617 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545304411.617 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.617 * [misc]backup-simplify: Simplify 0 into 0 1545304411.617 * [misc]backup-simplify: Simplify 0 into 0 1545304411.618 * [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)))))) 1545304411.618 * [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)))))) 1545304411.619 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.624 * [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 1545304411.624 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304411.624 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.625 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545304411.627 * [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 1545304411.627 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545304411.628 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545304411.628 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.628 * [misc]backup-simplify: Simplify 0 into 0 1545304411.628 * [misc]backup-simplify: Simplify 0 into 0 1545304411.628 * [misc]backup-simplify: Simplify 0 into 0 1545304411.629 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304411.629 * [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)))))) 1545304411.630 * [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)))))) 1545304411.631 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304411.636 * [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 1545304411.636 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304411.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545304411.637 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.637 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545304411.638 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545304411.640 * [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 1545304411.640 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545304411.641 * [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 1545304411.641 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.641 * [misc]backup-simplify: Simplify 0 into 0 1545304411.641 * [misc]backup-simplify: Simplify 0 into 0 1545304411.641 * [misc]backup-simplify: Simplify 0 into 0 1545304411.641 * [misc]backup-simplify: Simplify 0 into 0 1545304411.642 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304411.643 * [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)))))) 1545304411.643 * [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)))))) 1545304411.644 * [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)))))))) 1545304411.645 * [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))) 1545304411.645 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545304411.645 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.645 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of k in k 1545304411.645 * [misc]backup-simplify: Simplify 0 into 0 1545304411.645 * [misc]backup-simplify: Simplify 1 into 1 1545304411.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.645 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.645 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of -2 in k 1545304411.645 * [misc]backup-simplify: Simplify -2 into -2 1545304411.645 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545304411.645 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.645 * [misc]backup-simplify: Simplify PI into PI 1545304411.645 * [misc]taylor: Taking taylor expansion of n in k 1545304411.645 * [misc]backup-simplify: Simplify n into n 1545304411.645 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545304411.645 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545304411.645 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545304411.646 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.646 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.646 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545304411.646 * [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))) 1545304411.646 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304411.646 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304411.646 * [misc]taylor: Taking taylor expansion of -1 in k 1545304411.646 * [misc]backup-simplify: Simplify -1 into -1 1545304411.646 * [misc]taylor: Taking taylor expansion of k in k 1545304411.646 * [misc]backup-simplify: Simplify 0 into 0 1545304411.646 * [misc]backup-simplify: Simplify 1 into 1 1545304411.646 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304411.646 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.647 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304411.647 * [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)))) 1545304411.647 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of k in n 1545304411.647 * [misc]backup-simplify: Simplify k into k 1545304411.647 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.647 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.647 * [misc]backup-simplify: Simplify -2 into -2 1545304411.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.647 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.647 * [misc]backup-simplify: Simplify PI into PI 1545304411.647 * [misc]taylor: Taking taylor expansion of n in n 1545304411.647 * [misc]backup-simplify: Simplify 0 into 0 1545304411.647 * [misc]backup-simplify: Simplify 1 into 1 1545304411.647 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.647 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.648 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.648 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.648 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304411.648 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.649 * [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))) 1545304411.650 * [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)))) 1545304411.650 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304411.650 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304411.650 * [misc]taylor: Taking taylor expansion of -1 in n 1545304411.650 * [misc]backup-simplify: Simplify -1 into -1 1545304411.650 * [misc]taylor: Taking taylor expansion of k in n 1545304411.650 * [misc]backup-simplify: Simplify k into k 1545304411.650 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304411.650 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304411.650 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304411.650 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304411.651 * [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))) 1545304411.651 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of k in n 1545304411.651 * [misc]backup-simplify: Simplify k into k 1545304411.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304411.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304411.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.651 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of -2 in n 1545304411.651 * [misc]backup-simplify: Simplify -2 into -2 1545304411.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545304411.651 * [misc]taylor: Taking taylor expansion of PI in n 1545304411.651 * [misc]backup-simplify: Simplify PI into PI 1545304411.651 * [misc]taylor: Taking taylor expansion of n in n 1545304411.651 * [misc]backup-simplify: Simplify 0 into 0 1545304411.651 * [misc]backup-simplify: Simplify 1 into 1 1545304411.651 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545304411.651 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.652 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.652 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545304411.652 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304411.652 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.653 * [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))) 1545304411.653 * [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)))) 1545304411.653 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304411.653 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304411.653 * [misc]taylor: Taking taylor expansion of -1 in n 1545304411.653 * [misc]backup-simplify: Simplify -1 into -1 1545304411.653 * [misc]taylor: Taking taylor expansion of k in n 1545304411.653 * [misc]backup-simplify: Simplify k into k 1545304411.653 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304411.653 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304411.653 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304411.653 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304411.654 * [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))) 1545304411.654 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.654 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of k in k 1545304411.654 * [misc]backup-simplify: Simplify 0 into 0 1545304411.654 * [misc]backup-simplify: Simplify 1 into 1 1545304411.654 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304411.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304411.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304411.654 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545304411.654 * [misc]taylor: Taking taylor expansion of -2 in k 1545304411.654 * [misc]backup-simplify: Simplify -2 into -2 1545304411.654 * [misc]taylor: Taking taylor expansion of PI in k 1545304411.654 * [misc]backup-simplify: Simplify PI into PI 1545304411.654 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545304411.655 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545304411.655 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304411.655 * [misc]taylor: Taking taylor expansion of n in k 1545304411.655 * [misc]backup-simplify: Simplify n into n 1545304411.655 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304411.655 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304411.655 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304411.655 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304411.656 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545304411.656 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545304411.657 * [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)))) 1545304411.657 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304411.657 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304411.657 * [misc]taylor: Taking taylor expansion of -1 in k 1545304411.657 * [misc]backup-simplify: Simplify -1 into -1 1545304411.657 * [misc]taylor: Taking taylor expansion of k in k 1545304411.657 * [misc]backup-simplify: Simplify 0 into 0 1545304411.657 * [misc]backup-simplify: Simplify 1 into 1 1545304411.657 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304411.657 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304411.658 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304411.658 * [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))))) 1545304411.659 * [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))))) 1545304411.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545304411.661 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545304411.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545304411.664 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304411.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545304411.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.665 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.665 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545304411.667 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304411.668 * [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 1545304411.668 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.668 * [misc]backup-simplify: Simplify 0 into 0 1545304411.668 * [misc]backup-simplify: Simplify 0 into 0 1545304411.668 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304411.670 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304411.671 * [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)))))) 1545304411.671 * [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)))))) 1545304411.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.674 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304411.679 * [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 1545304411.680 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304411.680 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304411.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545304411.682 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545304411.684 * [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 1545304411.684 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304411.685 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545304411.686 * [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 1545304411.686 * [misc]taylor: Taking taylor expansion of 0 in k 1545304411.686 * [misc]backup-simplify: Simplify 0 into 0 1545304411.686 * [misc]backup-simplify: Simplify 0 into 0 1545304411.686 * [misc]backup-simplify: Simplify 0 into 0 1545304411.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304411.688 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304411.690 * [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)))))) 1545304411.690 * [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)))))) 1545304411.693 * [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))))))))))) 1545304411.693 * * * [misc]progress: simplifying candidates 1545304411.693 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545304411.693 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545304411.693 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545304411.694 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545304411.694 * * [misc]simplify: iters left: 6 (11 enodes) 1545304411.697 * * [misc]simplify: iters left: 5 (21 enodes) 1545304411.705 * * [misc]simplify: iters left: 4 (47 enodes) 1545304411.722 * * [misc]simplify: iters left: 3 (113 enodes) 1545304411.783 * * [misc]simplify: iters left: 2 (328 enodes) 1545304412.109 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545304412.109 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545304412.109 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545304412.109 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545304412.110 * [enter]simplify: Simplifying (* PI (* n 2)) 1545304412.110 * * [misc]simplify: iters left: 4 (5 enodes) 1545304412.113 * * [misc]simplify: iters left: 3 (9 enodes) 1545304412.114 * * [misc]simplify: iters left: 2 (15 enodes) 1545304412.116 * * [misc]simplify: iters left: 1 (17 enodes) 1545304412.118 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545304412.118 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545304412.118 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545304412.119 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545304412.119 * * [misc]simplify: iters left: 5 (8 enodes) 1545304412.120 * * [misc]simplify: iters left: 4 (12 enodes) 1545304412.124 * * [misc]simplify: iters left: 3 (18 enodes) 1545304412.129 * * [misc]simplify: iters left: 2 (20 enodes) 1545304412.134 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545304412.134 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545304412.134 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545304412.135 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545304412.135 * * [misc]simplify: iters left: 5 (6 enodes) 1545304412.137 * * [misc]simplify: iters left: 4 (8 enodes) 1545304412.139 * * [misc]simplify: iters left: 3 (11 enodes) 1545304412.142 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545304412.142 * [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))) 1545304412.142 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545304412.143 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545304412.143 * * [misc]simplify: iters left: 5 (6 enodes) 1545304412.145 * * [misc]simplify: iters left: 4 (8 enodes) 1545304412.147 * * [misc]simplify: iters left: 3 (11 enodes) 1545304412.150 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545304412.150 * [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))) 1545304412.150 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545304412.151 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545304412.151 * * [misc]simplify: iters left: 4 (5 enodes) 1545304412.152 * * [misc]simplify: iters left: 3 (7 enodes) 1545304412.154 * * [misc]simplify: iters left: 2 (10 enodes) 1545304412.157 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545304412.157 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545304412.157 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545304412.158 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545304412.158 * * [misc]simplify: iters left: 5 (9 enodes) 1545304412.160 * * [misc]simplify: iters left: 4 (15 enodes) 1545304412.164 * * [misc]simplify: iters left: 3 (21 enodes) 1545304412.170 * * [misc]simplify: iters left: 2 (22 enodes) 1545304412.175 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545304412.175 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545304412.175 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545304412.175 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545304412.175 * * [misc]simplify: iters left: 5 (9 enodes) 1545304412.178 * * [misc]simplify: iters left: 4 (15 enodes) 1545304412.182 * * [misc]simplify: iters left: 3 (21 enodes) 1545304412.189 * * [misc]simplify: iters left: 2 (22 enodes) 1545304412.195 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545304412.195 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545304412.195 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545304412.196 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545304412.196 * * [misc]simplify: iters left: 5 (7 enodes) 1545304412.198 * * [misc]simplify: iters left: 4 (9 enodes) 1545304412.202 * * [misc]simplify: iters left: 3 (12 enodes) 1545304412.205 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545304412.205 * [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))) 1545304412.206 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545304412.206 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545304412.207 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545304412.207 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545304412.207 * * [misc]simplify: iters left: 6 (14 enodes) 1545304412.212 * * [misc]simplify: iters left: 5 (27 enodes) 1545304412.222 * * [misc]simplify: iters left: 4 (55 enodes) 1545304412.238 * * [misc]simplify: iters left: 3 (144 enodes) 1545304412.319 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545304412.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545304412.319 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545304412.319 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545304412.320 * * [misc]simplify: iters left: 6 (14 enodes) 1545304412.324 * * [misc]simplify: iters left: 5 (27 enodes) 1545304412.334 * * [misc]simplify: iters left: 4 (55 enodes) 1545304412.354 * * [misc]simplify: iters left: 3 (144 enodes) 1545304412.425 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545304412.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545304412.425 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545304412.426 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545304412.426 * * [misc]simplify: iters left: 6 (14 enodes) 1545304412.430 * * [misc]simplify: iters left: 5 (24 enodes) 1545304412.438 * * [misc]simplify: iters left: 4 (43 enodes) 1545304412.452 * * [misc]simplify: iters left: 3 (73 enodes) 1545304412.476 * * [misc]simplify: iters left: 2 (220 enodes) 1545304412.748 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545304412.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545304412.748 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545304412.748 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545304412.748 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545304412.749 * [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))) 1545304412.749 * * [misc]simplify: iters left: 6 (16 enodes) 1545304412.756 * * [misc]simplify: iters left: 5 (31 enodes) 1545304412.766 * * [misc]simplify: iters left: 4 (67 enodes) 1545304412.789 * * [misc]simplify: iters left: 3 (124 enodes) 1545304412.840 * * [misc]simplify: iters left: 2 (195 enodes) 1545304412.906 * * [misc]simplify: iters left: 1 (309 enodes) 1545304413.028 * [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)))) 1545304413.028 * [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)))))) 1545304413.028 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545304413.028 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545304413.028 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545304413.028 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545304413.028 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545304413.029 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.029 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.033 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.038 * * [misc]simplify: iters left: 4 (25 enodes) 1545304413.045 * * [misc]simplify: iters left: 3 (26 enodes) 1545304413.052 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.052 * [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))))) 1545304413.053 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545304413.053 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.057 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.062 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.069 * * [misc]simplify: iters left: 3 (25 enodes) 1545304413.076 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545304413.076 * [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))))) 1545304413.076 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545304413.076 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545304413.076 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.080 * * [misc]simplify: iters left: 5 (16 enodes) 1545304413.085 * * [misc]simplify: iters left: 4 (22 enodes) 1545304413.090 * * [misc]simplify: iters left: 3 (24 enodes) 1545304413.096 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545304413.096 * [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))))) 1545304413.097 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545304413.097 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.100 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.105 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.112 * * [misc]simplify: iters left: 3 (25 enodes) 1545304413.122 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545304413.122 * [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))))) 1545304413.122 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545304413.122 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545304413.122 * * [misc]simplify: iters left: 6 (9 enodes) 1545304413.125 * * [misc]simplify: iters left: 5 (16 enodes) 1545304413.130 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.136 * * [misc]simplify: iters left: 3 (26 enodes) 1545304413.141 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545304413.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545304413.142 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545304413.142 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.145 * * [misc]simplify: iters left: 5 (17 enodes) 1545304413.150 * * [misc]simplify: iters left: 4 (23 enodes) 1545304413.156 * * [misc]simplify: iters left: 3 (24 enodes) 1545304413.162 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545304413.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545304413.162 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545304413.163 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.163 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.167 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.172 * * [misc]simplify: iters left: 4 (25 enodes) 1545304413.179 * * [misc]simplify: iters left: 3 (26 enodes) 1545304413.185 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.186 * [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))))) 1545304413.186 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545304413.186 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.190 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.195 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.201 * * [misc]simplify: iters left: 3 (25 enodes) 1545304413.208 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545304413.208 * [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))))) 1545304413.208 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545304413.209 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545304413.209 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.212 * * [misc]simplify: iters left: 5 (16 enodes) 1545304413.217 * * [misc]simplify: iters left: 4 (22 enodes) 1545304413.223 * * [misc]simplify: iters left: 3 (24 enodes) 1545304413.228 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545304413.228 * [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))))) 1545304413.229 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545304413.229 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.232 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.238 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.245 * * [misc]simplify: iters left: 3 (25 enodes) 1545304413.251 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545304413.251 * [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))))) 1545304413.251 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545304413.252 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545304413.252 * * [misc]simplify: iters left: 6 (9 enodes) 1545304413.255 * * [misc]simplify: iters left: 5 (16 enodes) 1545304413.260 * * [misc]simplify: iters left: 4 (24 enodes) 1545304413.265 * * [misc]simplify: iters left: 3 (26 enodes) 1545304413.272 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545304413.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545304413.273 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545304413.273 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.276 * * [misc]simplify: iters left: 5 (17 enodes) 1545304413.281 * * [misc]simplify: iters left: 4 (23 enodes) 1545304413.288 * * [misc]simplify: iters left: 3 (24 enodes) 1545304413.294 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545304413.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545304413.295 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545304413.295 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.295 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.298 * * [misc]simplify: iters left: 5 (15 enodes) 1545304413.303 * * [misc]simplify: iters left: 4 (18 enodes) 1545304413.308 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.309 * [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))))) 1545304413.309 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545304413.309 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.312 * * [misc]simplify: iters left: 5 (14 enodes) 1545304413.316 * * [misc]simplify: iters left: 4 (17 enodes) 1545304413.321 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545304413.321 * [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))))) 1545304413.322 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545304413.322 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.322 * * [misc]simplify: iters left: 6 (10 enodes) 1545304413.325 * * [misc]simplify: iters left: 5 (12 enodes) 1545304413.328 * * [misc]simplify: iters left: 4 (15 enodes) 1545304413.333 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.333 * [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))))) 1545304413.333 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.333 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.336 * * [misc]simplify: iters left: 5 (14 enodes) 1545304413.340 * * [misc]simplify: iters left: 4 (17 enodes) 1545304413.346 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.346 * [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))))) 1545304413.346 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545304413.346 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545304413.346 * * [misc]simplify: iters left: 6 (9 enodes) 1545304413.349 * * [misc]simplify: iters left: 5 (13 enodes) 1545304413.354 * * [misc]simplify: iters left: 4 (18 enodes) 1545304413.358 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545304413.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545304413.359 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545304413.359 * * [misc]simplify: iters left: 6 (10 enodes) 1545304413.362 * * [misc]simplify: iters left: 5 (13 enodes) 1545304413.366 * * [misc]simplify: iters left: 4 (16 enodes) 1545304413.371 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545304413.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545304413.371 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545304413.372 * [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)))) 1545304413.372 * * [misc]simplify: iters left: 6 (16 enodes) 1545304413.378 * * [misc]simplify: iters left: 5 (28 enodes) 1545304413.386 * * [misc]simplify: iters left: 4 (46 enodes) 1545304413.400 * * [misc]simplify: iters left: 3 (50 enodes) 1545304413.412 * * [misc]simplify: iters left: 2 (53 enodes) 1545304413.427 * [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)))) 1545304413.427 * [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))))) 1545304413.427 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545304413.427 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.431 * * [misc]simplify: iters left: 5 (20 enodes) 1545304413.437 * * [misc]simplify: iters left: 4 (29 enodes) 1545304413.445 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.454 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545304413.454 * [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))))) 1545304413.454 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545304413.454 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545304413.454 * * [misc]simplify: iters left: 6 (15 enodes) 1545304413.459 * * [misc]simplify: iters left: 5 (23 enodes) 1545304413.466 * * [misc]simplify: iters left: 4 (34 enodes) 1545304413.475 * * [misc]simplify: iters left: 3 (37 enodes) 1545304413.485 * [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)))))) 1545304413.485 * [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))))) 1545304413.486 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.486 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.490 * * [misc]simplify: iters left: 5 (20 enodes) 1545304413.496 * * [misc]simplify: iters left: 4 (29 enodes) 1545304413.505 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.512 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.512 * [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))))) 1545304413.512 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545304413.512 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545304413.513 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.516 * * [misc]simplify: iters left: 5 (24 enodes) 1545304413.520 * * [misc]simplify: iters left: 4 (39 enodes) 1545304413.526 * * [misc]simplify: iters left: 3 (54 enodes) 1545304413.532 * * [misc]simplify: iters left: 2 (80 enodes) 1545304413.543 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545304413.543 * [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)))) 1545304413.543 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545304413.543 * * [misc]simplify: iters left: 6 (13 enodes) 1545304413.546 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.549 * * [misc]simplify: iters left: 4 (28 enodes) 1545304413.553 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.561 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545304413.561 * [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)))) 1545304413.561 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545304413.561 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.561 * * [misc]simplify: iters left: 6 (15 enodes) 1545304413.566 * * [misc]simplify: iters left: 5 (23 enodes) 1545304413.573 * * [misc]simplify: iters left: 4 (32 enodes) 1545304413.582 * * [misc]simplify: iters left: 3 (34 enodes) 1545304413.592 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.592 * [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))))) 1545304413.592 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545304413.592 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.597 * * [misc]simplify: iters left: 5 (20 enodes) 1545304413.603 * * [misc]simplify: iters left: 4 (29 enodes) 1545304413.611 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.619 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545304413.619 * [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))))) 1545304413.619 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545304413.620 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.620 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.624 * * [misc]simplify: iters left: 5 (20 enodes) 1545304413.631 * * [misc]simplify: iters left: 4 (29 enodes) 1545304413.639 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.647 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.647 * [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))))) 1545304413.647 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.648 * * [misc]simplify: iters left: 6 (14 enodes) 1545304413.652 * * [misc]simplify: iters left: 5 (20 enodes) 1545304413.658 * * [misc]simplify: iters left: 4 (29 enodes) 1545304413.667 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.674 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545304413.674 * [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))))) 1545304413.674 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545304413.675 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545304413.675 * * [misc]simplify: iters left: 6 (13 enodes) 1545304413.679 * * [misc]simplify: iters left: 5 (21 enodes) 1545304413.685 * * [misc]simplify: iters left: 4 (32 enodes) 1545304413.695 * * [misc]simplify: iters left: 3 (33 enodes) 1545304413.703 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545304413.703 * [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)))) 1545304413.703 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545304413.704 * * [misc]simplify: iters left: 6 (13 enodes) 1545304413.708 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.713 * * [misc]simplify: iters left: 4 (28 enodes) 1545304413.721 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.729 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545304413.729 * [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)))) 1545304413.729 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545304413.729 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304413.730 * * [misc]simplify: iters left: 6 (6 enodes) 1545304413.731 * * [misc]simplify: iters left: 5 (10 enodes) 1545304413.733 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545304413.733 * [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))))) 1545304413.733 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545304413.733 * * [misc]simplify: iters left: 6 (13 enodes) 1545304413.735 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.738 * * [misc]simplify: iters left: 4 (28 enodes) 1545304413.741 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.745 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545304413.745 * [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))))) 1545304413.745 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545304413.745 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545304413.745 * * [misc]simplify: iters left: 4 (5 enodes) 1545304413.746 * * [misc]simplify: iters left: 3 (7 enodes) 1545304413.747 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545304413.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545304413.747 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.747 * * [misc]simplify: iters left: 6 (13 enodes) 1545304413.749 * * [misc]simplify: iters left: 5 (19 enodes) 1545304413.752 * * [misc]simplify: iters left: 4 (28 enodes) 1545304413.756 * * [misc]simplify: iters left: 3 (30 enodes) 1545304413.764 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545304413.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545304413.764 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545304413.765 * [enter]simplify: Simplifying (/ 1 1) 1545304413.765 * * [misc]simplify: iters left: 2 (2 enodes) 1545304413.766 * * [misc]simplify: iters left: 1 (4 enodes) 1545304413.766 * [exit]simplify: Simplified to 1 1545304413.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545304413.767 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545304413.767 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.771 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.777 * * [misc]simplify: iters left: 4 (27 enodes) 1545304413.785 * * [misc]simplify: iters left: 3 (29 enodes) 1545304413.792 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545304413.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545304413.792 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545304413.792 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545304413.792 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545304413.792 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545304413.793 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545304413.793 * * [misc]simplify: iters left: 2 (3 enodes) 1545304413.794 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545304413.794 * [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)))) 1545304413.794 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545304413.794 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545304413.794 * * [misc]simplify: iters left: 2 (3 enodes) 1545304413.795 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545304413.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545304413.795 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545304413.795 * [enter]simplify: Simplifying (sqrt k) 1545304413.796 * * [misc]simplify: iters left: 1 (2 enodes) 1545304413.796 * [exit]simplify: Simplified to (sqrt k) 1545304413.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545304413.796 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545304413.797 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545304413.797 * * [misc]simplify: iters left: 5 (7 enodes) 1545304413.799 * * [misc]simplify: iters left: 4 (12 enodes) 1545304413.803 * * [misc]simplify: iters left: 3 (18 enodes) 1545304413.808 * * [misc]simplify: iters left: 2 (20 enodes) 1545304413.812 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545304413.813 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545304413.813 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545304413.813 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545304413.813 * * [misc]simplify: iters left: 5 (7 enodes) 1545304413.815 * * [misc]simplify: iters left: 4 (12 enodes) 1545304413.819 * * [misc]simplify: iters left: 3 (18 enodes) 1545304413.825 * * [misc]simplify: iters left: 2 (20 enodes) 1545304413.830 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545304413.830 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545304413.830 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545304413.830 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545304413.830 * * [misc]simplify: iters left: 5 (7 enodes) 1545304413.832 * * [misc]simplify: iters left: 4 (9 enodes) 1545304413.835 * * [misc]simplify: iters left: 3 (12 enodes) 1545304413.839 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545304413.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545304413.839 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545304413.839 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545304413.839 * * [misc]simplify: iters left: 6 (12 enodes) 1545304413.843 * * [misc]simplify: iters left: 5 (18 enodes) 1545304413.849 * * [misc]simplify: iters left: 4 (27 enodes) 1545304413.857 * * [misc]simplify: iters left: 3 (29 enodes) 1545304413.865 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545304413.865 * [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))))))) 1545304413.865 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545304413.865 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545304413.865 * * [misc]simplify: iters left: 6 (11 enodes) 1545304413.869 * * [misc]simplify: iters left: 5 (17 enodes) 1545304413.874 * * [misc]simplify: iters left: 4 (26 enodes) 1545304413.881 * * [misc]simplify: iters left: 3 (27 enodes) 1545304413.888 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545304413.888 * [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))))))) 1545304413.888 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545304413.888 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545304413.888 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545304413.888 * * [misc]simplify: iters left: 5 (7 enodes) 1545304413.891 * * [misc]simplify: iters left: 4 (12 enodes) 1545304413.894 * * [misc]simplify: iters left: 3 (18 enodes) 1545304413.899 * * [misc]simplify: iters left: 2 (20 enodes) 1545304413.904 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545304413.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545304413.904 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545304413.904 * [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))))) 1545304413.905 * * [misc]simplify: iters left: 6 (37 enodes) 1545304413.914 * * [misc]simplify: iters left: 5 (108 enodes) 1545304413.937 * * [misc]simplify: iters left: 4 (368 enodes) 1545304414.187 * [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)))))) 1545304414.187 * [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))) 1545304414.187 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545304414.187 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545304414.187 * * [misc]simplify: iters left: 6 (15 enodes) 1545304414.190 * * [misc]simplify: iters left: 5 (33 enodes) 1545304414.201 * * [misc]simplify: iters left: 4 (64 enodes) 1545304414.227 * * [misc]simplify: iters left: 3 (179 enodes) 1545304414.328 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545304414.328 * [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))) 1545304414.328 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545304414.328 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545304414.328 * * [misc]simplify: iters left: 6 (15 enodes) 1545304414.334 * * [misc]simplify: iters left: 5 (30 enodes) 1545304414.346 * * [misc]simplify: iters left: 4 (65 enodes) 1545304414.379 * * [misc]simplify: iters left: 3 (208 enodes) 1545304414.534 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545304414.534 * [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))) 1545304414.534 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545304414.535 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545304414.535 * * [misc]simplify: iters left: 4 (5 enodes) 1545304414.537 * * [misc]simplify: iters left: 3 (9 enodes) 1545304414.539 * * [misc]simplify: iters left: 2 (15 enodes) 1545304414.543 * * [misc]simplify: iters left: 1 (17 enodes) 1545304414.548 * [exit]simplify: Simplified to (* (* PI n) 2) 1545304414.548 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545304414.548 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545304414.548 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545304414.548 * * [misc]simplify: iters left: 4 (5 enodes) 1545304414.550 * * [misc]simplify: iters left: 3 (9 enodes) 1545304414.552 * * [misc]simplify: iters left: 2 (15 enodes) 1545304414.557 * * [misc]simplify: iters left: 1 (17 enodes) 1545304414.561 * [exit]simplify: Simplified to (* (* PI n) 2) 1545304414.561 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545304414.561 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545304414.562 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545304414.562 * * [misc]simplify: iters left: 4 (5 enodes) 1545304414.564 * * [misc]simplify: iters left: 3 (9 enodes) 1545304414.567 * * [misc]simplify: iters left: 2 (15 enodes) 1545304414.571 * * [misc]simplify: iters left: 1 (17 enodes) 1545304414.575 * [exit]simplify: Simplified to (* (* PI n) 2) 1545304414.575 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545304414.575 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545304414.576 * [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)))))))))))))))))))))) 1545304414.576 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304414.576 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545304414.576 * [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)))))))) 1545304414.576 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304414.576 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545304414.577 * [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))))))))))) 1545304414.577 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304414.577 * * * [misc]progress: adding candidates to table 1545304415.932 * * [misc]progress: iteration 2 / 4 1545304415.933 * * * [misc]progress: picking best candidate 1545304415.973 * * * * [misc]pick: Picked # 1545304415.973 * * * [misc]progress: localizing error 1545304416.005 * * * [misc]progress: generating rewritten candidates 1545304416.005 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545304416.007 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1545304416.009 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545304416.028 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545304416.049 * * * [misc]progress: generating series expansions 1545304416.049 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545304416.049 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545304416.049 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545304416.049 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304416.049 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304416.049 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304416.049 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.049 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.049 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.049 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.049 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.049 * [misc]taylor: Taking taylor expansion of k in k 1545304416.049 * [misc]backup-simplify: Simplify 0 into 0 1545304416.049 * [misc]backup-simplify: Simplify 1 into 1 1545304416.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.049 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.050 * [misc]taylor: Taking taylor expansion of n in k 1545304416.050 * [misc]backup-simplify: Simplify n into n 1545304416.050 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.050 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.050 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.050 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.050 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.050 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304416.050 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304416.050 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304416.050 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.050 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.050 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.050 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.050 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.051 * [misc]taylor: Taking taylor expansion of k in n 1545304416.051 * [misc]backup-simplify: Simplify k into k 1545304416.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.051 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.051 * [misc]taylor: Taking taylor expansion of n in n 1545304416.051 * [misc]backup-simplify: Simplify 0 into 0 1545304416.051 * [misc]backup-simplify: Simplify 1 into 1 1545304416.051 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.051 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.051 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.051 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304416.051 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304416.052 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304416.052 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304416.052 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304416.052 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.052 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.052 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.052 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.052 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.052 * [misc]taylor: Taking taylor expansion of k in n 1545304416.052 * [misc]backup-simplify: Simplify k into k 1545304416.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.052 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.052 * [misc]taylor: Taking taylor expansion of n in n 1545304416.052 * [misc]backup-simplify: Simplify 0 into 0 1545304416.052 * [misc]backup-simplify: Simplify 1 into 1 1545304416.052 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.052 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.052 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.052 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.053 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304416.053 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304416.053 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545304416.053 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545304416.053 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545304416.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304416.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304416.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.054 * [misc]taylor: Taking taylor expansion of k in k 1545304416.054 * [misc]backup-simplify: Simplify 0 into 0 1545304416.054 * [misc]backup-simplify: Simplify 1 into 1 1545304416.054 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.054 * [misc]taylor: Taking taylor expansion of n in k 1545304416.054 * [misc]backup-simplify: Simplify n into n 1545304416.054 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.054 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304416.054 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.054 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.054 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.055 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.055 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545304416.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.057 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545304416.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.058 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.058 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545304416.059 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.059 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.059 * [misc]backup-simplify: Simplify 0 into 0 1545304416.059 * [misc]backup-simplify: Simplify 0 into 0 1545304416.060 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304416.060 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304416.060 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304416.060 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304416.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304416.061 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304416.061 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545304416.065 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304416.065 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304416.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.065 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.066 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545304416.067 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.067 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.067 * [misc]backup-simplify: Simplify 0 into 0 1545304416.067 * [misc]backup-simplify: Simplify 0 into 0 1545304416.067 * [misc]backup-simplify: Simplify 0 into 0 1545304416.068 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304416.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.069 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304416.070 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304416.070 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304416.071 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304416.071 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.071 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545304416.071 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.071 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304416.071 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304416.071 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.071 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.071 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.071 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.071 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.071 * [misc]taylor: Taking taylor expansion of k in k 1545304416.071 * [misc]backup-simplify: Simplify 0 into 0 1545304416.071 * [misc]backup-simplify: Simplify 1 into 1 1545304416.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.072 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304416.072 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304416.072 * [misc]taylor: Taking taylor expansion of n in k 1545304416.072 * [misc]backup-simplify: Simplify n into n 1545304416.072 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304416.072 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304416.072 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.072 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.072 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304416.072 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.072 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.073 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.073 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.073 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of k in n 1545304416.073 * [misc]backup-simplify: Simplify k into k 1545304416.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.073 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.073 * [misc]taylor: Taking taylor expansion of n in n 1545304416.073 * [misc]backup-simplify: Simplify 0 into 0 1545304416.073 * [misc]backup-simplify: Simplify 1 into 1 1545304416.073 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.073 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.073 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.073 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.074 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.074 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.074 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.074 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.074 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.074 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of k in n 1545304416.074 * [misc]backup-simplify: Simplify k into k 1545304416.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.074 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.074 * [misc]taylor: Taking taylor expansion of n in n 1545304416.074 * [misc]backup-simplify: Simplify 0 into 0 1545304416.075 * [misc]backup-simplify: Simplify 1 into 1 1545304416.075 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.075 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.075 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.075 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.075 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.075 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.076 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.076 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.076 * [misc]backup-simplify: Simplify -1 into -1 1545304416.076 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of k in k 1545304416.076 * [misc]backup-simplify: Simplify 0 into 0 1545304416.076 * [misc]backup-simplify: Simplify 1 into 1 1545304416.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.076 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.076 * [misc]taylor: Taking taylor expansion of n in k 1545304416.076 * [misc]backup-simplify: Simplify n into n 1545304416.076 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304416.076 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304416.077 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304416.077 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545304416.077 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545304416.077 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.077 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.077 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304416.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.080 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.080 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304416.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.080 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.081 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304416.082 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.082 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.082 * [misc]backup-simplify: Simplify 0 into 0 1545304416.082 * [misc]backup-simplify: Simplify 0 into 0 1545304416.082 * [misc]backup-simplify: Simplify 0 into 0 1545304416.082 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.086 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304416.086 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.086 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304416.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.087 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304416.089 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.089 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.089 * [misc]backup-simplify: Simplify 0 into 0 1545304416.089 * [misc]backup-simplify: Simplify 0 into 0 1545304416.089 * [misc]backup-simplify: Simplify 0 into 0 1545304416.089 * [misc]backup-simplify: Simplify 0 into 0 1545304416.089 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.096 * [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 1545304416.096 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.096 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304416.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.097 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545304416.100 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304416.100 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.100 * [misc]backup-simplify: Simplify 0 into 0 1545304416.100 * [misc]backup-simplify: Simplify 0 into 0 1545304416.100 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304416.100 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545304416.101 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545304416.101 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.101 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.101 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.101 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.101 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.101 * [misc]backup-simplify: Simplify -1 into -1 1545304416.101 * [misc]taylor: Taking taylor expansion of k in k 1545304416.101 * [misc]backup-simplify: Simplify 0 into 0 1545304416.101 * [misc]backup-simplify: Simplify 1 into 1 1545304416.101 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.101 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304416.101 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.101 * [misc]backup-simplify: Simplify -1 into -1 1545304416.101 * [misc]taylor: Taking taylor expansion of n in k 1545304416.101 * [misc]backup-simplify: Simplify n into n 1545304416.101 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304416.101 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304416.101 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.102 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.102 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304416.102 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304416.102 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.102 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.102 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.102 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.102 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.102 * [misc]backup-simplify: Simplify -1 into -1 1545304416.102 * [misc]taylor: Taking taylor expansion of k in n 1545304416.102 * [misc]backup-simplify: Simplify k into k 1545304416.102 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.102 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.102 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.102 * [misc]backup-simplify: Simplify -1 into -1 1545304416.102 * [misc]taylor: Taking taylor expansion of n in n 1545304416.102 * [misc]backup-simplify: Simplify 0 into 0 1545304416.102 * [misc]backup-simplify: Simplify 1 into 1 1545304416.103 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.103 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.103 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.103 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.103 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.104 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.104 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.104 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.104 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.104 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.104 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.104 * [misc]backup-simplify: Simplify -1 into -1 1545304416.104 * [misc]taylor: Taking taylor expansion of k in n 1545304416.104 * [misc]backup-simplify: Simplify k into k 1545304416.104 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.104 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.104 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.104 * [misc]backup-simplify: Simplify -1 into -1 1545304416.104 * [misc]taylor: Taking taylor expansion of n in n 1545304416.104 * [misc]backup-simplify: Simplify 0 into 0 1545304416.104 * [misc]backup-simplify: Simplify 1 into 1 1545304416.105 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.105 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.105 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.105 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.105 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.105 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.106 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.106 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of k in k 1545304416.106 * [misc]backup-simplify: Simplify 0 into 0 1545304416.106 * [misc]backup-simplify: Simplify 1 into 1 1545304416.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.106 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545304416.106 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.106 * [misc]backup-simplify: Simplify -1 into -1 1545304416.106 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.106 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.107 * [misc]taylor: Taking taylor expansion of n in k 1545304416.107 * [misc]backup-simplify: Simplify n into n 1545304416.107 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.107 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304416.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.107 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304416.107 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545304416.107 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545304416.108 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.108 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.108 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304416.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304416.111 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.111 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304416.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.112 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545304416.113 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.113 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.113 * [misc]backup-simplify: Simplify 0 into 0 1545304416.113 * [misc]backup-simplify: Simplify 0 into 0 1545304416.113 * [misc]backup-simplify: Simplify 0 into 0 1545304416.113 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.117 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304416.117 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.117 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304416.118 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.118 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.118 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545304416.120 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.120 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.120 * [misc]backup-simplify: Simplify 0 into 0 1545304416.120 * [misc]backup-simplify: Simplify 0 into 0 1545304416.120 * [misc]backup-simplify: Simplify 0 into 0 1545304416.120 * [misc]backup-simplify: Simplify 0 into 0 1545304416.121 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.127 * [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 1545304416.127 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.128 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545304416.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.128 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.129 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545304416.132 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304416.133 * [misc]taylor: Taking taylor expansion of 0 in k 1545304416.133 * [misc]backup-simplify: Simplify 0 into 0 1545304416.133 * [misc]backup-simplify: Simplify 0 into 0 1545304416.133 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304416.133 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1545304416.134 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304416.134 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1545304416.134 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.134 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.134 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.134 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.134 * [misc]taylor: Taking taylor expansion of k in k 1545304416.134 * [misc]backup-simplify: Simplify 0 into 0 1545304416.134 * [misc]backup-simplify: Simplify 1 into 1 1545304416.134 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.134 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.134 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.134 * [misc]backup-simplify: Simplify 2 into 2 1545304416.134 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.134 * [misc]backup-simplify: Simplify PI into PI 1545304416.134 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.135 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.135 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.135 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.136 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.137 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.137 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.137 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.137 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.137 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.137 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.137 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.137 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.137 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.137 * [misc]taylor: Taking taylor expansion of k in k 1545304416.137 * [misc]backup-simplify: Simplify 0 into 0 1545304416.137 * [misc]backup-simplify: Simplify 1 into 1 1545304416.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.137 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.137 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.138 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.138 * [misc]backup-simplify: Simplify 2 into 2 1545304416.138 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.138 * [misc]backup-simplify: Simplify PI into PI 1545304416.138 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.138 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.139 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.139 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.139 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.140 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.141 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1545304416.142 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.144 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.144 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304416.144 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545304416.147 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545304416.148 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1545304416.149 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304416.152 * [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 1545304416.152 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.152 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.153 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545304416.156 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545304416.157 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1545304416.162 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545304416.163 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.163 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545304416.163 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.163 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.163 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.163 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.163 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.163 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.163 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.163 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.163 * [misc]taylor: Taking taylor expansion of k in k 1545304416.163 * [misc]backup-simplify: Simplify 0 into 0 1545304416.163 * [misc]backup-simplify: Simplify 1 into 1 1545304416.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.164 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.164 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.164 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.164 * [misc]backup-simplify: Simplify 2 into 2 1545304416.164 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.164 * [misc]backup-simplify: Simplify PI into PI 1545304416.164 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.164 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.164 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.164 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.165 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.165 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.165 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.165 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.165 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.165 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.165 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.165 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.165 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.165 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.165 * [misc]taylor: Taking taylor expansion of k in k 1545304416.165 * [misc]backup-simplify: Simplify 0 into 0 1545304416.165 * [misc]backup-simplify: Simplify 1 into 1 1545304416.165 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.166 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.166 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.166 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.166 * [misc]backup-simplify: Simplify 2 into 2 1545304416.166 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.166 * [misc]backup-simplify: Simplify PI into PI 1545304416.166 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.166 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.166 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.166 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.167 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.167 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.167 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.167 * [misc]backup-simplify: Simplify 0 into 0 1545304416.167 * [misc]backup-simplify: Simplify 0 into 0 1545304416.167 * [misc]backup-simplify: Simplify 0 into 0 1545304416.167 * [misc]backup-simplify: Simplify 0 into 0 1545304416.168 * [misc]backup-simplify: Simplify 0 into 0 1545304416.168 * [misc]backup-simplify: Simplify 0 into 0 1545304416.168 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304416.168 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.168 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545304416.168 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.168 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.168 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.168 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.168 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.168 * [misc]backup-simplify: Simplify -1 into -1 1545304416.168 * [misc]taylor: Taking taylor expansion of k in k 1545304416.168 * [misc]backup-simplify: Simplify 0 into 0 1545304416.168 * [misc]backup-simplify: Simplify 1 into 1 1545304416.168 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.168 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.168 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.168 * [misc]backup-simplify: Simplify 2 into 2 1545304416.168 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.169 * [misc]backup-simplify: Simplify PI into PI 1545304416.169 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.169 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.169 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.169 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.170 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.170 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.170 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.170 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.170 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.170 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.170 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.170 * [misc]backup-simplify: Simplify -1 into -1 1545304416.170 * [misc]taylor: Taking taylor expansion of k in k 1545304416.170 * [misc]backup-simplify: Simplify 0 into 0 1545304416.170 * [misc]backup-simplify: Simplify 1 into 1 1545304416.170 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.170 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.170 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.170 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.170 * [misc]backup-simplify: Simplify 2 into 2 1545304416.170 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.170 * [misc]backup-simplify: Simplify PI into PI 1545304416.171 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.171 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.171 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.171 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.172 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.172 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.172 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.172 * [misc]backup-simplify: Simplify 0 into 0 1545304416.173 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304416.173 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545304416.173 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 1545304416.173 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in (k n) around 0 1545304416.173 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.173 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.173 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.173 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.173 * [misc]taylor: Taking taylor expansion of k in n 1545304416.173 * [misc]backup-simplify: Simplify k into k 1545304416.173 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.173 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.173 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.173 * [misc]taylor: Taking taylor expansion of n in n 1545304416.173 * [misc]backup-simplify: Simplify 0 into 0 1545304416.173 * [misc]backup-simplify: Simplify 1 into 1 1545304416.173 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.173 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.174 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.174 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.174 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304416.174 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304416.174 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.174 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.174 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.174 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.174 * [misc]taylor: Taking taylor expansion of k in n 1545304416.174 * [misc]backup-simplify: Simplify k into k 1545304416.174 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.174 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.174 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.174 * [misc]backup-simplify: Simplify 2 into 2 1545304416.174 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.174 * [misc]backup-simplify: Simplify PI into PI 1545304416.174 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.175 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.175 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.175 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.175 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1545304416.175 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1545304416.175 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.176 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.176 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.176 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.176 * [misc]taylor: Taking taylor expansion of k in k 1545304416.176 * [misc]backup-simplify: Simplify 0 into 0 1545304416.176 * [misc]backup-simplify: Simplify 1 into 1 1545304416.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.176 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of n in k 1545304416.176 * [misc]backup-simplify: Simplify n into n 1545304416.176 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.176 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.176 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.176 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.176 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.176 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.176 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.176 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.176 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.176 * [misc]taylor: Taking taylor expansion of k in k 1545304416.176 * [misc]backup-simplify: Simplify 0 into 0 1545304416.176 * [misc]backup-simplify: Simplify 1 into 1 1545304416.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.176 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.176 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.176 * [misc]backup-simplify: Simplify 2 into 2 1545304416.176 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.176 * [misc]backup-simplify: Simplify PI into PI 1545304416.177 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.177 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.177 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.177 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.178 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.178 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.178 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.178 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.178 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.178 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.178 * [misc]taylor: Taking taylor expansion of k in k 1545304416.178 * [misc]backup-simplify: Simplify 0 into 0 1545304416.178 * [misc]backup-simplify: Simplify 1 into 1 1545304416.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.178 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.178 * [misc]taylor: Taking taylor expansion of n in k 1545304416.178 * [misc]backup-simplify: Simplify n into n 1545304416.178 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.179 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.179 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.179 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.179 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.179 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.179 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.179 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.179 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.179 * [misc]taylor: Taking taylor expansion of k in k 1545304416.179 * [misc]backup-simplify: Simplify 0 into 0 1545304416.179 * [misc]backup-simplify: Simplify 1 into 1 1545304416.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.179 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.179 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.179 * [misc]backup-simplify: Simplify 2 into 2 1545304416.179 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.179 * [misc]backup-simplify: Simplify PI into PI 1545304416.179 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.180 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.180 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.180 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.180 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.181 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1545304416.181 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545304416.181 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545304416.181 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.181 * [misc]backup-simplify: Simplify PI into PI 1545304416.181 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545304416.181 * [misc]taylor: Taking taylor expansion of n in n 1545304416.181 * [misc]backup-simplify: Simplify 0 into 0 1545304416.181 * [misc]backup-simplify: Simplify 1 into 1 1545304416.181 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.181 * [misc]backup-simplify: Simplify 2 into 2 1545304416.182 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545304416.182 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304416.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545304416.182 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545304416.182 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.183 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.183 * [misc]backup-simplify: Simplify 0 into 0 1545304416.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.185 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304416.185 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545304416.188 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545304416.189 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304416.189 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304416.189 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304416.189 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304416.191 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1545304416.191 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.191 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.191 * [misc]backup-simplify: Simplify 2 into 2 1545304416.191 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.191 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.191 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.191 * [misc]backup-simplify: Simplify 2 into 2 1545304416.191 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.191 * [misc]backup-simplify: Simplify PI into PI 1545304416.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.192 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.192 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.192 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.192 * [misc]taylor: Taking taylor expansion of n in n 1545304416.192 * [misc]backup-simplify: Simplify 0 into 0 1545304416.192 * [misc]backup-simplify: Simplify 1 into 1 1545304416.192 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.192 * [misc]backup-simplify: Simplify PI into PI 1545304416.193 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.193 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.194 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304416.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.194 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304416.195 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304416.195 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.195 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.195 * [misc]backup-simplify: Simplify 2 into 2 1545304416.195 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.195 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.195 * [misc]taylor: Taking taylor expansion of n in n 1545304416.195 * [misc]backup-simplify: Simplify 0 into 0 1545304416.196 * [misc]backup-simplify: Simplify 1 into 1 1545304416.196 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.196 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.196 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.196 * [misc]taylor: Taking taylor expansion of n in n 1545304416.196 * [misc]backup-simplify: Simplify 0 into 0 1545304416.196 * [misc]backup-simplify: Simplify 1 into 1 1545304416.196 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.196 * [misc]backup-simplify: Simplify PI into PI 1545304416.196 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.197 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.197 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.198 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.198 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545304416.200 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545304416.200 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304416.200 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.200 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304416.200 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304416.201 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304416.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.201 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.201 * [misc]backup-simplify: Simplify 0 into 0 1545304416.201 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545304416.202 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304416.207 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1545304416.208 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545304416.214 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545304416.216 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304416.217 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.218 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304416.219 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304416.224 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1545304416.224 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 1545304416.224 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545304416.224 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304416.224 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304416.224 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545304416.224 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545304416.224 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.224 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.224 * [misc]backup-simplify: Simplify 2 into 2 1545304416.224 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.224 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.224 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545304416.225 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.225 * [misc]taylor: Taking taylor expansion of n in n 1545304416.225 * [misc]backup-simplify: Simplify 0 into 0 1545304416.225 * [misc]backup-simplify: Simplify 1 into 1 1545304416.225 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.225 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.225 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.225 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.225 * [misc]taylor: Taking taylor expansion of n in n 1545304416.225 * [misc]backup-simplify: Simplify 0 into 0 1545304416.225 * [misc]backup-simplify: Simplify 1 into 1 1545304416.225 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.225 * [misc]backup-simplify: Simplify PI into PI 1545304416.225 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.226 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.227 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.227 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 1545304416.227 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1545304416.227 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304416.227 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304416.227 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1545304416.227 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1545304416.227 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.227 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.227 * [misc]backup-simplify: Simplify 2 into 2 1545304416.227 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.227 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.227 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1545304416.228 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.228 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.228 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.228 * [misc]backup-simplify: Simplify 2 into 2 1545304416.228 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.228 * [misc]backup-simplify: Simplify PI into PI 1545304416.228 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.228 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.228 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.228 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.228 * [misc]taylor: Taking taylor expansion of n in n 1545304416.229 * [misc]backup-simplify: Simplify 0 into 0 1545304416.229 * [misc]backup-simplify: Simplify 1 into 1 1545304416.229 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.229 * [misc]backup-simplify: Simplify PI into PI 1545304416.229 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.229 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.230 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.230 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.230 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1545304416.230 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545304416.230 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545304416.230 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1545304416.230 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1545304416.230 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.230 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.230 * [misc]backup-simplify: Simplify 2 into 2 1545304416.231 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.231 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1545304416.231 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.231 * [misc]taylor: Taking taylor expansion of n in n 1545304416.231 * [misc]backup-simplify: Simplify 0 into 0 1545304416.231 * [misc]backup-simplify: Simplify 1 into 1 1545304416.231 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.231 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.231 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.231 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.231 * [misc]backup-simplify: Simplify 2 into 2 1545304416.231 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.231 * [misc]backup-simplify: Simplify PI into PI 1545304416.232 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.232 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.232 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.232 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.232 * [misc]taylor: Taking taylor expansion of n in n 1545304416.232 * [misc]backup-simplify: Simplify 0 into 0 1545304416.232 * [misc]backup-simplify: Simplify 1 into 1 1545304416.232 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.232 * [misc]backup-simplify: Simplify PI into PI 1545304416.232 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.234 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.234 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545304416.235 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545304416.235 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545304416.235 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304416.236 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1545304416.237 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1545304416.239 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1545304416.239 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304416.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.240 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1545304416.241 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1545304416.241 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1545304416.242 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545304416.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.242 * [misc]backup-simplify: Simplify 0 into 0 1545304416.243 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.245 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.247 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.249 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304416.252 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304416.255 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.256 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.256 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545304416.257 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304416.257 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304416.260 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545304416.262 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545304416.265 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545304416.265 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545304416.266 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545304416.267 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545304416.268 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545304416.272 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1545304416.273 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304416.273 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1545304416.273 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.273 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.273 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.273 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of k in n 1545304416.273 * [misc]backup-simplify: Simplify k into k 1545304416.273 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.273 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.273 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.273 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.273 * [misc]backup-simplify: Simplify 2 into 2 1545304416.273 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.273 * [misc]backup-simplify: Simplify PI into PI 1545304416.274 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.274 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.274 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.274 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.275 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.275 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.276 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.276 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.276 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.276 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of k in n 1545304416.276 * [misc]backup-simplify: Simplify k into k 1545304416.276 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.276 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.276 * [misc]taylor: Taking taylor expansion of n in n 1545304416.276 * [misc]backup-simplify: Simplify 0 into 0 1545304416.276 * [misc]backup-simplify: Simplify 1 into 1 1545304416.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.276 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.277 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.277 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.277 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.277 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.277 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.277 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304416.277 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.277 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.277 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.277 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.277 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.277 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.278 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.278 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.278 * [misc]taylor: Taking taylor expansion of k in k 1545304416.278 * [misc]backup-simplify: Simplify 0 into 0 1545304416.278 * [misc]backup-simplify: Simplify 1 into 1 1545304416.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.278 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.278 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.278 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.278 * [misc]backup-simplify: Simplify 2 into 2 1545304416.278 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.278 * [misc]backup-simplify: Simplify PI into PI 1545304416.278 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.279 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.279 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.279 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.280 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.280 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.280 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.281 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.281 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.281 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of k in k 1545304416.281 * [misc]backup-simplify: Simplify 0 into 0 1545304416.281 * [misc]backup-simplify: Simplify 1 into 1 1545304416.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.281 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304416.281 * [misc]taylor: Taking taylor expansion of n in k 1545304416.281 * [misc]backup-simplify: Simplify n into n 1545304416.281 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304416.281 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304416.282 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.282 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.282 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304416.282 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.282 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.282 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.282 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.282 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.282 * [misc]taylor: Taking taylor expansion of k in k 1545304416.282 * [misc]backup-simplify: Simplify 0 into 0 1545304416.282 * [misc]backup-simplify: Simplify 1 into 1 1545304416.283 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.283 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.283 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.283 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.283 * [misc]backup-simplify: Simplify 2 into 2 1545304416.283 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.283 * [misc]backup-simplify: Simplify PI into PI 1545304416.283 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.283 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.284 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.284 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.285 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.285 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.285 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.285 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304416.285 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304416.285 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.285 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.285 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.285 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.285 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.285 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.286 * [misc]taylor: Taking taylor expansion of k in k 1545304416.286 * [misc]backup-simplify: Simplify 0 into 0 1545304416.286 * [misc]backup-simplify: Simplify 1 into 1 1545304416.286 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.286 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304416.286 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304416.286 * [misc]taylor: Taking taylor expansion of n in k 1545304416.286 * [misc]backup-simplify: Simplify n into n 1545304416.286 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304416.286 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304416.286 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.286 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.286 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304416.287 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.287 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304416.287 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.287 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.287 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.287 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.287 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.287 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.287 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.287 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.288 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.288 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.288 * [misc]taylor: Taking taylor expansion of k in n 1545304416.288 * [misc]backup-simplify: Simplify k into k 1545304416.288 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.288 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.288 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.288 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.288 * [misc]backup-simplify: Simplify 2 into 2 1545304416.288 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.288 * [misc]backup-simplify: Simplify PI into PI 1545304416.288 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.289 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.289 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.289 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.289 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.290 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.290 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.290 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.290 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.290 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.290 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.290 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.290 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.290 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.290 * [misc]taylor: Taking taylor expansion of k in n 1545304416.290 * [misc]backup-simplify: Simplify k into k 1545304416.290 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.290 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.291 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.291 * [misc]taylor: Taking taylor expansion of n in n 1545304416.291 * [misc]backup-simplify: Simplify 0 into 0 1545304416.291 * [misc]backup-simplify: Simplify 1 into 1 1545304416.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.291 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.291 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.291 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.291 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.292 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.292 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.292 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304416.293 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304416.293 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545304416.293 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.293 * [misc]backup-simplify: Simplify 0 into 0 1545304416.293 * [misc]backup-simplify: Simplify 0 into 0 1545304416.294 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304416.296 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.296 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.296 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304416.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.297 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.297 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304416.298 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.299 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.302 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.302 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.302 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304416.302 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.303 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.305 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.305 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545304416.306 * [misc]backup-simplify: Simplify 0 into 0 1545304416.306 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304416.306 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.306 * [misc]backup-simplify: Simplify 0 into 0 1545304416.306 * [misc]backup-simplify: Simplify 0 into 0 1545304416.306 * [misc]backup-simplify: Simplify 0 into 0 1545304416.307 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.309 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304416.309 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.310 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304416.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.310 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304416.311 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304416.316 * [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 1545304416.316 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.316 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304416.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.317 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1545304416.318 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.319 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545304416.319 * [misc]backup-simplify: Simplify 0 into 0 1545304416.319 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304416.319 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.319 * [misc]backup-simplify: Simplify 0 into 0 1545304416.319 * [misc]backup-simplify: Simplify 0 into 0 1545304416.320 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545304416.320 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304416.320 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1545304416.320 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.320 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.320 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.320 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.320 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.320 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.320 * [misc]backup-simplify: Simplify -1 into -1 1545304416.320 * [misc]taylor: Taking taylor expansion of k in n 1545304416.320 * [misc]backup-simplify: Simplify k into k 1545304416.320 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.321 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.321 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.321 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.321 * [misc]backup-simplify: Simplify -1 into -1 1545304416.321 * [misc]taylor: Taking taylor expansion of n in n 1545304416.321 * [misc]backup-simplify: Simplify 0 into 0 1545304416.321 * [misc]backup-simplify: Simplify 1 into 1 1545304416.321 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.321 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.321 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.321 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.321 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.321 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.322 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.322 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.322 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.322 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.322 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.322 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.322 * [misc]backup-simplify: Simplify -1 into -1 1545304416.322 * [misc]taylor: Taking taylor expansion of k in n 1545304416.322 * [misc]backup-simplify: Simplify k into k 1545304416.322 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.322 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.322 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.322 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.322 * [misc]backup-simplify: Simplify 2 into 2 1545304416.322 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.322 * [misc]backup-simplify: Simplify PI into PI 1545304416.322 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.322 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.323 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.323 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.323 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.323 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.323 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304416.323 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.323 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304416.323 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304416.323 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.323 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.323 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.323 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.324 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.324 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.324 * [misc]backup-simplify: Simplify -1 into -1 1545304416.324 * [misc]taylor: Taking taylor expansion of k in k 1545304416.324 * [misc]backup-simplify: Simplify 0 into 0 1545304416.324 * [misc]backup-simplify: Simplify 1 into 1 1545304416.324 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.324 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.324 * [misc]backup-simplify: Simplify -1 into -1 1545304416.324 * [misc]taylor: Taking taylor expansion of n in k 1545304416.324 * [misc]backup-simplify: Simplify n into n 1545304416.324 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304416.324 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304416.324 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.324 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.324 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304416.324 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304416.324 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.324 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.324 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.324 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.324 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.324 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.324 * [misc]backup-simplify: Simplify -1 into -1 1545304416.324 * [misc]taylor: Taking taylor expansion of k in k 1545304416.324 * [misc]backup-simplify: Simplify 0 into 0 1545304416.325 * [misc]backup-simplify: Simplify 1 into 1 1545304416.325 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.325 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.325 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.325 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.325 * [misc]backup-simplify: Simplify 2 into 2 1545304416.325 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.325 * [misc]backup-simplify: Simplify PI into PI 1545304416.325 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.325 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.325 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.325 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.326 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.326 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.326 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.326 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.326 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.326 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.326 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.326 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.326 * [misc]backup-simplify: Simplify -1 into -1 1545304416.326 * [misc]taylor: Taking taylor expansion of k in k 1545304416.326 * [misc]backup-simplify: Simplify 0 into 0 1545304416.327 * [misc]backup-simplify: Simplify 1 into 1 1545304416.327 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.327 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.327 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.327 * [misc]backup-simplify: Simplify -1 into -1 1545304416.327 * [misc]taylor: Taking taylor expansion of n in k 1545304416.327 * [misc]backup-simplify: Simplify n into n 1545304416.327 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304416.327 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304416.327 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.327 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.327 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304416.327 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304416.327 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.327 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.327 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.327 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.327 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.327 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.327 * [misc]backup-simplify: Simplify -1 into -1 1545304416.327 * [misc]taylor: Taking taylor expansion of k in k 1545304416.327 * [misc]backup-simplify: Simplify 0 into 0 1545304416.327 * [misc]backup-simplify: Simplify 1 into 1 1545304416.328 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.328 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.328 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.328 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.328 * [misc]backup-simplify: Simplify 2 into 2 1545304416.328 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.328 * [misc]backup-simplify: Simplify PI into PI 1545304416.328 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.328 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.328 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.328 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.329 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.329 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.329 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304416.329 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.330 * [misc]backup-simplify: Simplify -1 into -1 1545304416.330 * [misc]taylor: Taking taylor expansion of n in n 1545304416.330 * [misc]backup-simplify: Simplify 0 into 0 1545304416.330 * [misc]backup-simplify: Simplify 1 into 1 1545304416.330 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.330 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.330 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.330 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.330 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.330 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.330 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.330 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.330 * [misc]backup-simplify: Simplify -1 into -1 1545304416.330 * [misc]taylor: Taking taylor expansion of k in n 1545304416.330 * [misc]backup-simplify: Simplify k into k 1545304416.330 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.330 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.330 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.330 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.330 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.331 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.331 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.331 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.331 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.331 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.331 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.331 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.331 * [misc]backup-simplify: Simplify -1 into -1 1545304416.331 * [misc]taylor: Taking taylor expansion of k in n 1545304416.331 * [misc]backup-simplify: Simplify k into k 1545304416.331 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.331 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.331 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.331 * [misc]backup-simplify: Simplify 2 into 2 1545304416.331 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.331 * [misc]backup-simplify: Simplify PI into PI 1545304416.331 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.332 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.332 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.332 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.332 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.333 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.333 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.333 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.334 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1545304416.334 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.334 * [misc]backup-simplify: Simplify 0 into 0 1545304416.334 * [misc]backup-simplify: Simplify 0 into 0 1545304416.334 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.336 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.336 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.337 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304416.337 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.338 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.339 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.340 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.340 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.340 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304416.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304416.343 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304416.343 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304416.344 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.345 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304416.345 * [misc]backup-simplify: Simplify 0 into 0 1545304416.346 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545304416.346 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.346 * [misc]backup-simplify: Simplify 0 into 0 1545304416.346 * [misc]backup-simplify: Simplify 0 into 0 1545304416.346 * [misc]backup-simplify: Simplify 0 into 0 1545304416.347 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304416.352 * [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 1545304416.352 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.353 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304416.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.354 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1545304416.357 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.358 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.358 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304416.358 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304416.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.363 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304416.364 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304416.366 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304416.367 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545304416.367 * [misc]backup-simplify: Simplify 0 into 0 1545304416.368 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545304416.368 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.368 * [misc]backup-simplify: Simplify 0 into 0 1545304416.368 * [misc]backup-simplify: Simplify 0 into 0 1545304416.369 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545304416.369 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545304416.370 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304416.370 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1545304416.370 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of k in n 1545304416.370 * [misc]backup-simplify: Simplify k into k 1545304416.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.370 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304416.370 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304416.370 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304416.370 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.371 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.371 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.371 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.371 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.371 * [misc]taylor: Taking taylor expansion of k in n 1545304416.371 * [misc]backup-simplify: Simplify k into k 1545304416.371 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.371 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.371 * [misc]taylor: Taking taylor expansion of n in n 1545304416.371 * [misc]backup-simplify: Simplify 0 into 0 1545304416.371 * [misc]backup-simplify: Simplify 1 into 1 1545304416.371 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.371 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.371 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.371 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.372 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304416.372 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304416.372 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304416.372 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.372 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.372 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.372 * [misc]taylor: Taking taylor expansion of k in n 1545304416.372 * [misc]backup-simplify: Simplify k into k 1545304416.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.372 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.372 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.372 * [misc]backup-simplify: Simplify 2 into 2 1545304416.372 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.372 * [misc]backup-simplify: Simplify PI into PI 1545304416.372 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.373 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.373 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304416.373 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304416.374 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1545304416.374 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1545304416.374 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545304416.374 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304416.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.374 * [misc]taylor: Taking taylor expansion of k in k 1545304416.374 * [misc]backup-simplify: Simplify 0 into 0 1545304416.374 * [misc]backup-simplify: Simplify 1 into 1 1545304416.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.375 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.375 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304416.375 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304416.375 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304416.375 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304416.375 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304416.375 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.375 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.376 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.376 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.376 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.376 * [misc]taylor: Taking taylor expansion of k in k 1545304416.376 * [misc]backup-simplify: Simplify 0 into 0 1545304416.376 * [misc]backup-simplify: Simplify 1 into 1 1545304416.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.376 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.376 * [misc]taylor: Taking taylor expansion of n in k 1545304416.376 * [misc]backup-simplify: Simplify n into n 1545304416.376 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.376 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.376 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.376 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.376 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.376 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.376 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.376 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.376 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.377 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.377 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.377 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.377 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.377 * [misc]taylor: Taking taylor expansion of k in k 1545304416.377 * [misc]backup-simplify: Simplify 0 into 0 1545304416.377 * [misc]backup-simplify: Simplify 1 into 1 1545304416.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.377 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.377 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.377 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.377 * [misc]backup-simplify: Simplify 2 into 2 1545304416.377 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.377 * [misc]backup-simplify: Simplify PI into PI 1545304416.377 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.378 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.378 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.378 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.379 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.380 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.380 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545304416.380 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304416.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.380 * [misc]taylor: Taking taylor expansion of k in k 1545304416.380 * [misc]backup-simplify: Simplify 0 into 0 1545304416.380 * [misc]backup-simplify: Simplify 1 into 1 1545304416.380 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.381 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304416.381 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.381 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.381 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.381 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.381 * [misc]taylor: Taking taylor expansion of k in k 1545304416.381 * [misc]backup-simplify: Simplify 0 into 0 1545304416.381 * [misc]backup-simplify: Simplify 1 into 1 1545304416.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.381 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304416.381 * [misc]taylor: Taking taylor expansion of n in k 1545304416.381 * [misc]backup-simplify: Simplify n into n 1545304416.381 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304416.382 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.382 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.382 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304416.382 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304416.382 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304416.382 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304416.382 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.382 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.382 * [misc]taylor: Taking taylor expansion of k in k 1545304416.382 * [misc]backup-simplify: Simplify 0 into 0 1545304416.382 * [misc]backup-simplify: Simplify 1 into 1 1545304416.382 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.382 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.382 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.383 * [misc]backup-simplify: Simplify 2 into 2 1545304416.383 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.383 * [misc]backup-simplify: Simplify PI into PI 1545304416.383 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.383 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.383 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304416.384 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304416.384 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.385 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304416.385 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1545304416.385 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1545304416.385 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.385 * [misc]backup-simplify: Simplify 0 into 0 1545304416.385 * [misc]backup-simplify: Simplify 0 into 0 1545304416.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.387 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.388 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304416.388 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.388 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545304416.391 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545304416.391 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304416.391 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304416.392 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304416.392 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304416.393 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1545304416.394 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545304416.394 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545304416.394 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304416.394 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.394 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.394 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304416.394 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.394 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.394 * [misc]backup-simplify: Simplify 2 into 2 1545304416.395 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.395 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.395 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.395 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.395 * [misc]taylor: Taking taylor expansion of n in n 1545304416.395 * [misc]backup-simplify: Simplify 0 into 0 1545304416.395 * [misc]backup-simplify: Simplify 1 into 1 1545304416.395 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.395 * [misc]backup-simplify: Simplify PI into PI 1545304416.395 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.395 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.396 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.396 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304416.396 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.396 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.396 * [misc]backup-simplify: Simplify 0 into 0 1545304416.396 * [misc]backup-simplify: Simplify 0 into 0 1545304416.397 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304416.400 * [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 1545304416.400 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545304416.404 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545304416.405 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304416.405 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304416.405 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.405 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304416.406 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304416.409 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1545304416.409 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304416.410 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304416.413 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545304416.413 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.413 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.413 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.413 * [misc]backup-simplify: Simplify 2 into 2 1545304416.413 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.413 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.413 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.413 * [misc]taylor: Taking taylor expansion of n in n 1545304416.413 * [misc]backup-simplify: Simplify 0 into 0 1545304416.413 * [misc]backup-simplify: Simplify 1 into 1 1545304416.414 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.414 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.414 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.414 * [misc]taylor: Taking taylor expansion of n in n 1545304416.414 * [misc]backup-simplify: Simplify 0 into 0 1545304416.414 * [misc]backup-simplify: Simplify 1 into 1 1545304416.414 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.414 * [misc]backup-simplify: Simplify PI into PI 1545304416.414 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.414 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.415 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.415 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.415 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.415 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.415 * [misc]backup-simplify: Simplify 2 into 2 1545304416.415 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.415 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.415 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.415 * [misc]backup-simplify: Simplify 2 into 2 1545304416.415 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.415 * [misc]backup-simplify: Simplify PI into PI 1545304416.416 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.416 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.416 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.416 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.416 * [misc]taylor: Taking taylor expansion of n in n 1545304416.416 * [misc]backup-simplify: Simplify 0 into 0 1545304416.416 * [misc]backup-simplify: Simplify 1 into 1 1545304416.416 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.416 * [misc]backup-simplify: Simplify PI into PI 1545304416.416 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.417 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.417 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.417 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545304416.417 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304416.417 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.417 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.417 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304416.417 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.417 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.417 * [misc]backup-simplify: Simplify 2 into 2 1545304416.418 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.418 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.418 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.418 * [misc]taylor: Taking taylor expansion of n in n 1545304416.418 * [misc]backup-simplify: Simplify 0 into 0 1545304416.418 * [misc]backup-simplify: Simplify 1 into 1 1545304416.418 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.418 * [misc]backup-simplify: Simplify PI into PI 1545304416.418 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.418 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.419 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.419 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.419 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304416.419 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304416.419 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.420 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545304416.421 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545304416.421 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.421 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304416.421 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.421 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.422 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.422 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.422 * [misc]backup-simplify: Simplify 0 into 0 1545304416.423 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.424 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.424 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.425 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.425 * [misc]backup-simplify: Simplify 0 into 0 1545304416.426 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304416.431 * [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 1545304416.431 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304416.431 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1545304416.438 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1545304416.440 * [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 1545304416.440 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304416.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545304416.441 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545304416.446 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1545304416.446 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.447 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304416.453 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1545304416.453 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.453 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.453 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.453 * [misc]backup-simplify: Simplify 2 into 2 1545304416.453 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.453 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.453 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.453 * [misc]taylor: Taking taylor expansion of n in n 1545304416.453 * [misc]backup-simplify: Simplify 0 into 0 1545304416.453 * [misc]backup-simplify: Simplify 1 into 1 1545304416.453 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.454 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.454 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.454 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.454 * [misc]taylor: Taking taylor expansion of n in n 1545304416.454 * [misc]backup-simplify: Simplify 0 into 0 1545304416.454 * [misc]backup-simplify: Simplify 1 into 1 1545304416.454 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.454 * [misc]backup-simplify: Simplify PI into PI 1545304416.454 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.454 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.454 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.455 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.455 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.455 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.455 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.455 * [misc]backup-simplify: Simplify 2 into 2 1545304416.455 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.455 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.455 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of n in n 1545304416.455 * [misc]backup-simplify: Simplify 0 into 0 1545304416.455 * [misc]backup-simplify: Simplify 1 into 1 1545304416.455 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.455 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.455 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.455 * [misc]backup-simplify: Simplify 2 into 2 1545304416.455 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.455 * [misc]backup-simplify: Simplify PI into PI 1545304416.456 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.456 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.456 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.456 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.456 * [misc]taylor: Taking taylor expansion of n in n 1545304416.456 * [misc]backup-simplify: Simplify 0 into 0 1545304416.456 * [misc]backup-simplify: Simplify 1 into 1 1545304416.456 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.456 * [misc]backup-simplify: Simplify PI into PI 1545304416.456 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.457 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.457 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.457 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.457 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.457 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.457 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.457 * [misc]backup-simplify: Simplify 2 into 2 1545304416.457 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.457 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.457 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304416.457 * [misc]taylor: Taking taylor expansion of n in n 1545304416.457 * [misc]backup-simplify: Simplify 0 into 0 1545304416.457 * [misc]backup-simplify: Simplify 1 into 1 1545304416.457 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.457 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.458 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.458 * [misc]taylor: Taking taylor expansion of n in n 1545304416.458 * [misc]backup-simplify: Simplify 0 into 0 1545304416.458 * [misc]backup-simplify: Simplify 1 into 1 1545304416.458 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.458 * [misc]backup-simplify: Simplify PI into PI 1545304416.458 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.458 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.458 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.458 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.459 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.459 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.459 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.459 * [misc]backup-simplify: Simplify 2 into 2 1545304416.459 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.459 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.459 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.459 * [misc]taylor: Taking taylor expansion of n in n 1545304416.459 * [misc]backup-simplify: Simplify 0 into 0 1545304416.459 * [misc]backup-simplify: Simplify 1 into 1 1545304416.459 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.459 * [misc]backup-simplify: Simplify PI into PI 1545304416.459 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.460 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.460 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.460 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.460 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.460 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.460 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.460 * [misc]backup-simplify: Simplify 2 into 2 1545304416.460 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.460 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.460 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.460 * [misc]backup-simplify: Simplify 2 into 2 1545304416.460 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.460 * [misc]backup-simplify: Simplify PI into PI 1545304416.461 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.461 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.461 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.461 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.461 * [misc]taylor: Taking taylor expansion of n in n 1545304416.461 * [misc]backup-simplify: Simplify 0 into 0 1545304416.461 * [misc]backup-simplify: Simplify 1 into 1 1545304416.461 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.461 * [misc]backup-simplify: Simplify PI into PI 1545304416.461 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.462 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.462 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.462 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.462 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.462 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.462 * [misc]backup-simplify: Simplify 2 into 2 1545304416.462 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304416.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304416.462 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.462 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.462 * [misc]backup-simplify: Simplify 2 into 2 1545304416.462 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.462 * [misc]backup-simplify: Simplify PI into PI 1545304416.463 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.463 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.463 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304416.463 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304416.463 * [misc]taylor: Taking taylor expansion of n in n 1545304416.463 * [misc]backup-simplify: Simplify 0 into 0 1545304416.463 * [misc]backup-simplify: Simplify 1 into 1 1545304416.463 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.463 * [misc]backup-simplify: Simplify PI into PI 1545304416.463 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304416.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304416.464 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.464 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304416.464 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.464 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.464 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545304416.464 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545304416.465 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545304416.465 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.465 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.465 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1545304416.466 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1545304416.466 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1545304416.466 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.467 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304416.467 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304416.467 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.467 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304416.467 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.468 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545304416.469 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545304416.469 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.471 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1545304416.472 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1545304416.473 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.474 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.475 * [misc]backup-simplify: Simplify 0 into 0 1545304416.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.478 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304416.479 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545304416.479 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304416.480 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304416.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.483 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.485 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.487 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304416.490 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304416.491 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.493 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.494 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304416.498 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545304416.502 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545304416.506 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1545304416.510 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545304416.513 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545304416.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304416.516 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545304416.517 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545304416.520 * [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)))) 1545304416.524 * [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)))) 1545304416.526 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545304416.528 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545304416.534 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545304416.535 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1545304416.535 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1545304416.535 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1545304416.535 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.535 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.535 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.535 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.535 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.536 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.536 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.536 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.536 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.536 * [misc]taylor: Taking taylor expansion of k in n 1545304416.536 * [misc]backup-simplify: Simplify k into k 1545304416.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.536 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.536 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.536 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.536 * [misc]backup-simplify: Simplify 2 into 2 1545304416.536 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.536 * [misc]backup-simplify: Simplify PI into PI 1545304416.536 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.537 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.537 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.538 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.538 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.538 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.538 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.538 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.538 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.538 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.538 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.538 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.538 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.538 * [misc]taylor: Taking taylor expansion of k in n 1545304416.539 * [misc]backup-simplify: Simplify k into k 1545304416.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.539 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.539 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.539 * [misc]taylor: Taking taylor expansion of n in n 1545304416.539 * [misc]backup-simplify: Simplify 0 into 0 1545304416.539 * [misc]backup-simplify: Simplify 1 into 1 1545304416.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.539 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.539 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.539 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.540 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.540 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.540 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304416.540 * [misc]taylor: Taking taylor expansion of k in n 1545304416.540 * [misc]backup-simplify: Simplify k into k 1545304416.540 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304416.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304416.540 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.540 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.540 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.540 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.540 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.541 * [misc]taylor: Taking taylor expansion of k in k 1545304416.541 * [misc]backup-simplify: Simplify 0 into 0 1545304416.541 * [misc]backup-simplify: Simplify 1 into 1 1545304416.541 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.541 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.541 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.541 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.541 * [misc]backup-simplify: Simplify 2 into 2 1545304416.541 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.541 * [misc]backup-simplify: Simplify PI into PI 1545304416.541 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.542 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.542 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.542 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.543 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.543 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.543 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.543 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304416.543 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304416.544 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.544 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.544 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.544 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.544 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.544 * [misc]taylor: Taking taylor expansion of k in k 1545304416.544 * [misc]backup-simplify: Simplify 0 into 0 1545304416.544 * [misc]backup-simplify: Simplify 1 into 1 1545304416.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.544 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304416.544 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304416.544 * [misc]taylor: Taking taylor expansion of n in k 1545304416.544 * [misc]backup-simplify: Simplify n into n 1545304416.544 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304416.544 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304416.544 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.545 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.545 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304416.545 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.545 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304416.545 * [misc]taylor: Taking taylor expansion of k in k 1545304416.545 * [misc]backup-simplify: Simplify 0 into 0 1545304416.545 * [misc]backup-simplify: Simplify 1 into 1 1545304416.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.546 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304416.546 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.546 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.546 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.546 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of k in k 1545304416.546 * [misc]backup-simplify: Simplify 0 into 0 1545304416.546 * [misc]backup-simplify: Simplify 1 into 1 1545304416.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.546 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.546 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.546 * [misc]backup-simplify: Simplify 2 into 2 1545304416.546 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.546 * [misc]backup-simplify: Simplify PI into PI 1545304416.547 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.547 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.547 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.548 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.548 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304416.549 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304416.549 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304416.549 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304416.549 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304416.549 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304416.549 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.549 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304416.549 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.549 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304416.549 * [misc]taylor: Taking taylor expansion of k in k 1545304416.549 * [misc]backup-simplify: Simplify 0 into 0 1545304416.549 * [misc]backup-simplify: Simplify 1 into 1 1545304416.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.549 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304416.550 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304416.550 * [misc]taylor: Taking taylor expansion of n in k 1545304416.550 * [misc]backup-simplify: Simplify n into n 1545304416.550 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304416.550 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304416.550 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304416.550 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304416.550 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304416.550 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304416.550 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304416.550 * [misc]taylor: Taking taylor expansion of k in k 1545304416.550 * [misc]backup-simplify: Simplify 0 into 0 1545304416.550 * [misc]backup-simplify: Simplify 1 into 1 1545304416.551 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.551 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304416.552 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304416.552 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1545304416.552 * [misc]taylor: Taking taylor expansion of 0 in n 1545304416.552 * [misc]backup-simplify: Simplify 0 into 0 1545304416.552 * [misc]backup-simplify: Simplify 0 into 0 1545304416.553 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545304416.553 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304416.553 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304416.553 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304416.553 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.553 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.553 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.553 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.554 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.554 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.554 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of k in n 1545304416.554 * [misc]backup-simplify: Simplify k into k 1545304416.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.554 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.554 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.554 * [misc]backup-simplify: Simplify 2 into 2 1545304416.554 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.554 * [misc]backup-simplify: Simplify PI into PI 1545304416.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.555 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.555 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.555 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.556 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.556 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.556 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.556 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.556 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.556 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.556 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.556 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.556 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.557 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.557 * [misc]taylor: Taking taylor expansion of k in n 1545304416.557 * [misc]backup-simplify: Simplify k into k 1545304416.557 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.557 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.557 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.557 * [misc]taylor: Taking taylor expansion of n in n 1545304416.557 * [misc]backup-simplify: Simplify 0 into 0 1545304416.557 * [misc]backup-simplify: Simplify 1 into 1 1545304416.557 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.557 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.557 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.557 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.558 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.558 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.558 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304416.559 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304416.560 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.560 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.560 * [misc]backup-simplify: Simplify 0 into 0 1545304416.561 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304416.562 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304416.563 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304416.563 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.563 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.563 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.563 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.563 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.563 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.563 * [misc]taylor: Taking taylor expansion of k in n 1545304416.563 * [misc]backup-simplify: Simplify k into k 1545304416.563 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.564 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.564 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.564 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.564 * [misc]backup-simplify: Simplify 2 into 2 1545304416.564 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.564 * [misc]backup-simplify: Simplify PI into PI 1545304416.564 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.564 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.565 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.565 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.565 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.566 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.566 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.566 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.566 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.566 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of k in n 1545304416.566 * [misc]backup-simplify: Simplify k into k 1545304416.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.566 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.566 * [misc]taylor: Taking taylor expansion of n in n 1545304416.566 * [misc]backup-simplify: Simplify 0 into 0 1545304416.566 * [misc]backup-simplify: Simplify 1 into 1 1545304416.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.567 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.567 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.567 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.567 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.568 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.568 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304416.569 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304416.569 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.570 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.570 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304416.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304416.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.573 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304416.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.574 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304416.575 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.576 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.580 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.580 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304416.580 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304416.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.581 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.583 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.584 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545304416.584 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545304416.585 * [misc]backup-simplify: Simplify (- 0) into 0 1545304416.585 * [misc]backup-simplify: Simplify 0 into 0 1545304416.585 * [misc]backup-simplify: Simplify 0 into 0 1545304416.586 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304416.587 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304416.587 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304416.588 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.588 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.588 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.588 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.588 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.588 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.588 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of k in n 1545304416.588 * [misc]backup-simplify: Simplify k into k 1545304416.588 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.588 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.588 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.588 * [misc]backup-simplify: Simplify 2 into 2 1545304416.588 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.588 * [misc]backup-simplify: Simplify PI into PI 1545304416.589 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.589 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.589 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.589 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.590 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304416.591 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304416.591 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304416.591 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304416.591 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.591 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of k in n 1545304416.591 * [misc]backup-simplify: Simplify k into k 1545304416.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304416.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.591 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304416.591 * [misc]taylor: Taking taylor expansion of n in n 1545304416.591 * [misc]backup-simplify: Simplify 0 into 0 1545304416.591 * [misc]backup-simplify: Simplify 1 into 1 1545304416.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304416.592 * [misc]backup-simplify: Simplify (log 1) into 0 1545304416.592 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304416.592 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304416.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304416.592 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304416.592 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304416.593 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304416.593 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304416.594 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.595 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304416.597 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545304416.598 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1545304416.598 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545304416.598 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.598 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.598 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.598 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.598 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.598 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.599 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.599 * [misc]backup-simplify: Simplify -1 into -1 1545304416.599 * [misc]taylor: Taking taylor expansion of k in n 1545304416.599 * [misc]backup-simplify: Simplify k into k 1545304416.599 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.599 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.599 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.599 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.599 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.599 * [misc]backup-simplify: Simplify -1 into -1 1545304416.599 * [misc]taylor: Taking taylor expansion of n in n 1545304416.599 * [misc]backup-simplify: Simplify 0 into 0 1545304416.599 * [misc]backup-simplify: Simplify 1 into 1 1545304416.599 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.599 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.599 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.599 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.600 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.600 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.601 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.601 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.601 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.601 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.601 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.601 * [misc]backup-simplify: Simplify -1 into -1 1545304416.601 * [misc]taylor: Taking taylor expansion of k in n 1545304416.601 * [misc]backup-simplify: Simplify k into k 1545304416.601 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.601 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.601 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.601 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.601 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.601 * [misc]backup-simplify: Simplify 2 into 2 1545304416.601 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.601 * [misc]backup-simplify: Simplify PI into PI 1545304416.601 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.602 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.602 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.602 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.603 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.603 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.603 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304416.603 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.603 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.603 * [misc]backup-simplify: Simplify -1 into -1 1545304416.603 * [misc]taylor: Taking taylor expansion of k in n 1545304416.603 * [misc]backup-simplify: Simplify k into k 1545304416.604 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.604 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304416.604 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304416.604 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.605 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1545304416.605 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545304416.605 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304416.605 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.605 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304416.605 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304416.605 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.606 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.606 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.606 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.606 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.606 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.606 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.606 * [misc]backup-simplify: Simplify -1 into -1 1545304416.606 * [misc]taylor: Taking taylor expansion of k in k 1545304416.606 * [misc]backup-simplify: Simplify 0 into 0 1545304416.606 * [misc]backup-simplify: Simplify 1 into 1 1545304416.606 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.606 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304416.606 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304416.606 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.606 * [misc]backup-simplify: Simplify -1 into -1 1545304416.606 * [misc]taylor: Taking taylor expansion of n in k 1545304416.606 * [misc]backup-simplify: Simplify n into n 1545304416.606 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304416.606 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304416.606 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.607 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304416.607 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304416.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.607 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.607 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.607 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.607 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.607 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.607 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.607 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.607 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.607 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.607 * [misc]backup-simplify: Simplify -1 into -1 1545304416.607 * [misc]taylor: Taking taylor expansion of k in k 1545304416.607 * [misc]backup-simplify: Simplify 0 into 0 1545304416.607 * [misc]backup-simplify: Simplify 1 into 1 1545304416.607 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.608 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.608 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.608 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.608 * [misc]backup-simplify: Simplify 2 into 2 1545304416.608 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.608 * [misc]backup-simplify: Simplify PI into PI 1545304416.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.608 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.609 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.609 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.610 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.610 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.610 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304416.610 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.610 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.610 * [misc]backup-simplify: Simplify -1 into -1 1545304416.610 * [misc]taylor: Taking taylor expansion of k in k 1545304416.610 * [misc]backup-simplify: Simplify 0 into 0 1545304416.610 * [misc]backup-simplify: Simplify 1 into 1 1545304416.611 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.611 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304416.612 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304416.612 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545304416.612 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.612 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.612 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.612 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.613 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.613 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.613 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.613 * [misc]backup-simplify: Simplify -1 into -1 1545304416.613 * [misc]taylor: Taking taylor expansion of k in k 1545304416.613 * [misc]backup-simplify: Simplify 0 into 0 1545304416.613 * [misc]backup-simplify: Simplify 1 into 1 1545304416.613 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.613 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304416.613 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304416.613 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.613 * [misc]backup-simplify: Simplify -1 into -1 1545304416.613 * [misc]taylor: Taking taylor expansion of n in k 1545304416.613 * [misc]backup-simplify: Simplify n into n 1545304416.613 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304416.613 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304416.613 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.613 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.614 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304416.614 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304416.614 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304416.614 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.614 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304416.614 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.614 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.614 * [misc]backup-simplify: Simplify -1 into -1 1545304416.614 * [misc]taylor: Taking taylor expansion of k in k 1545304416.614 * [misc]backup-simplify: Simplify 0 into 0 1545304416.614 * [misc]backup-simplify: Simplify 1 into 1 1545304416.614 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304416.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.614 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304416.614 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304416.615 * [misc]taylor: Taking taylor expansion of 2 in k 1545304416.615 * [misc]backup-simplify: Simplify 2 into 2 1545304416.615 * [misc]taylor: Taking taylor expansion of PI in k 1545304416.615 * [misc]backup-simplify: Simplify PI into PI 1545304416.615 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.615 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.615 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304416.616 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304416.616 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304416.617 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304416.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304416.617 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304416.617 * [misc]taylor: Taking taylor expansion of -1 in k 1545304416.617 * [misc]backup-simplify: Simplify -1 into -1 1545304416.617 * [misc]taylor: Taking taylor expansion of k in k 1545304416.617 * [misc]backup-simplify: Simplify 0 into 0 1545304416.617 * [misc]backup-simplify: Simplify 1 into 1 1545304416.617 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304416.618 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304416.618 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304416.619 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545304416.619 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.619 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.619 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.619 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.619 * [misc]backup-simplify: Simplify -1 into -1 1545304416.619 * [misc]taylor: Taking taylor expansion of n in n 1545304416.619 * [misc]backup-simplify: Simplify 0 into 0 1545304416.619 * [misc]backup-simplify: Simplify 1 into 1 1545304416.620 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.620 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.620 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.620 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.620 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.620 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.620 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.620 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.620 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.620 * [misc]backup-simplify: Simplify -1 into -1 1545304416.620 * [misc]taylor: Taking taylor expansion of k in n 1545304416.620 * [misc]backup-simplify: Simplify k into k 1545304416.620 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.621 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.621 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.621 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.621 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.621 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.621 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.621 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.621 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.622 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.622 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.622 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.622 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.622 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.622 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.622 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.623 * [misc]backup-simplify: Simplify -1 into -1 1545304416.623 * [misc]taylor: Taking taylor expansion of k in n 1545304416.623 * [misc]backup-simplify: Simplify k into k 1545304416.623 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.623 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.623 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.623 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.623 * [misc]backup-simplify: Simplify 2 into 2 1545304416.623 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.623 * [misc]backup-simplify: Simplify PI into PI 1545304416.623 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.624 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.624 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.624 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.624 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.625 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.626 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.626 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304416.627 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304416.628 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1545304416.628 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304416.629 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304416.630 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545304416.630 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.630 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.630 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.630 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.630 * [misc]backup-simplify: Simplify -1 into -1 1545304416.630 * [misc]taylor: Taking taylor expansion of n in n 1545304416.630 * [misc]backup-simplify: Simplify 0 into 0 1545304416.630 * [misc]backup-simplify: Simplify 1 into 1 1545304416.630 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.631 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.631 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.631 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.631 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.631 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.631 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.631 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.631 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.631 * [misc]backup-simplify: Simplify -1 into -1 1545304416.631 * [misc]taylor: Taking taylor expansion of k in n 1545304416.631 * [misc]backup-simplify: Simplify k into k 1545304416.631 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.631 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.632 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.632 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.632 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.632 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.632 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.632 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.632 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.632 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.632 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.632 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.633 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.633 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.633 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.633 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.633 * [misc]backup-simplify: Simplify -1 into -1 1545304416.633 * [misc]taylor: Taking taylor expansion of k in n 1545304416.633 * [misc]backup-simplify: Simplify k into k 1545304416.633 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.633 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.633 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.633 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.633 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.633 * [misc]backup-simplify: Simplify 2 into 2 1545304416.633 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.633 * [misc]backup-simplify: Simplify PI into PI 1545304416.633 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.634 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.634 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.634 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.634 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.635 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.636 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.636 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304416.637 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304416.638 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304416.638 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304416.641 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304416.641 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.641 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304416.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.642 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1545304416.644 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.644 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304416.645 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304416.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304416.645 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304416.647 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304416.648 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304416.649 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304416.649 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304416.650 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1545304416.650 * [misc]backup-simplify: Simplify 0 into 0 1545304416.651 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545304416.651 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304416.652 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304416.654 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545304416.654 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304416.654 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304416.654 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304416.654 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.654 * [misc]backup-simplify: Simplify -1 into -1 1545304416.654 * [misc]taylor: Taking taylor expansion of n in n 1545304416.654 * [misc]backup-simplify: Simplify 0 into 0 1545304416.654 * [misc]backup-simplify: Simplify 1 into 1 1545304416.655 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304416.655 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304416.655 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.655 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.655 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.655 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.655 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.655 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.655 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.655 * [misc]backup-simplify: Simplify -1 into -1 1545304416.655 * [misc]taylor: Taking taylor expansion of k in n 1545304416.655 * [misc]backup-simplify: Simplify k into k 1545304416.655 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.656 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304416.656 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.656 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.656 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304416.656 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304416.656 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304416.656 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304416.656 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304416.656 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304416.657 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304416.657 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304416.657 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304416.657 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304416.657 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304416.657 * [misc]taylor: Taking taylor expansion of -1 in n 1545304416.657 * [misc]backup-simplify: Simplify -1 into -1 1545304416.657 * [misc]taylor: Taking taylor expansion of k in n 1545304416.657 * [misc]backup-simplify: Simplify k into k 1545304416.657 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304416.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304416.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304416.657 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304416.657 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304416.657 * [misc]taylor: Taking taylor expansion of 2 in n 1545304416.657 * [misc]backup-simplify: Simplify 2 into 2 1545304416.657 * [misc]taylor: Taking taylor expansion of PI in n 1545304416.657 * [misc]backup-simplify: Simplify PI into PI 1545304416.657 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304416.658 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304416.658 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304416.658 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304416.659 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304416.659 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304416.660 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304416.660 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304416.661 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304416.662 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304416.664 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545304416.664 * * * [misc]progress: simplifying candidates 1545304416.664 * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # 1545304416.664 * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # 1545304416.664 * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # 1545304416.664 * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # 1545304416.665 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304416.665 * * [misc]simplify: iters left: 2 (5 enodes) 1545304416.665 * * [misc]simplify: iters left: 1 (7 enodes) 1545304416.666 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304416.666 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (sqrt k))) 1545304416.666 * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # 1545304416.667 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304416.667 * * [misc]simplify: iters left: 2 (5 enodes) 1545304416.667 * * [misc]simplify: iters left: 1 (7 enodes) 1545304416.668 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304416.668 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (sqrt k))) 1545304416.668 * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # 1545304416.669 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304416.669 * * [misc]simplify: iters left: 1 (4 enodes) 1545304416.669 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304416.669 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2))) (sqrt k))) 1545304416.669 * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # 1545304416.669 * [enter]simplify: Simplifying (pow n 1/2) 1545304416.669 * * [misc]simplify: iters left: 1 (3 enodes) 1545304416.670 * [exit]simplify: Simplified to (sqrt n) 1545304416.670 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n))) (sqrt k))) 1545304416.670 * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # 1545304416.670 * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # 1545304416.670 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545304416.671 * * [misc]simplify: iters left: 5 (9 enodes) 1545304416.672 * * [misc]simplify: iters left: 4 (16 enodes) 1545304416.675 * * [misc]simplify: iters left: 3 (31 enodes) 1545304416.681 * * [misc]simplify: iters left: 2 (72 enodes) 1545304416.702 * * [misc]simplify: iters left: 1 (184 enodes) 1545304416.795 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545304416.795 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.795 * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # 1545304416.795 * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # 1545304416.795 * [enter]simplify: Simplifying (* 2 PI) 1545304416.795 * * [misc]simplify: iters left: 2 (3 enodes) 1545304416.796 * * [misc]simplify: iters left: 1 (4 enodes) 1545304416.796 * [exit]simplify: Simplified to (* 2 PI) 1545304416.796 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.796 * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # 1545304416.796 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304416.796 * * [misc]simplify: iters left: 2 (5 enodes) 1545304416.797 * * [misc]simplify: iters left: 1 (7 enodes) 1545304416.798 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304416.798 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.798 * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # 1545304416.798 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304416.798 * * [misc]simplify: iters left: 2 (5 enodes) 1545304416.799 * * [misc]simplify: iters left: 1 (7 enodes) 1545304416.800 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304416.800 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.800 * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # 1545304416.800 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304416.800 * * [misc]simplify: iters left: 1 (4 enodes) 1545304416.801 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304416.801 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.801 * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # 1545304416.801 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1545304416.801 * * [misc]simplify: iters left: 3 (5 enodes) 1545304416.802 * * [misc]simplify: iters left: 2 (7 enodes) 1545304416.803 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1545304416.803 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.803 * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # 1545304416.803 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545304416.803 * * [misc]simplify: iters left: 2 (6 enodes) 1545304416.804 * * [misc]simplify: iters left: 1 (8 enodes) 1545304416.805 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545304416.805 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304416.805 * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # 1545304416.805 * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # 1545304416.805 * [enter]simplify: Simplifying (* (* 2 PI) n) 1545304416.805 * * [misc]simplify: iters left: 4 (5 enodes) 1545304416.806 * * [misc]simplify: iters left: 3 (9 enodes) 1545304416.808 * * [misc]simplify: iters left: 2 (15 enodes) 1545304416.811 * * [misc]simplify: iters left: 1 (17 enodes) 1545304416.813 * [exit]simplify: Simplified to (* (* 2 PI) n) 1545304416.813 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545304416.813 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304416.813 * * [misc]simplify: iters left: 1 (4 enodes) 1545304416.814 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304416.814 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1545304416.814 * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # 1545304416.814 * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # 1545304416.814 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1545304416.814 * * [misc]simplify: iters left: 6 (13 enodes) 1545304416.816 * * [misc]simplify: iters left: 5 (25 enodes) 1545304416.821 * * [misc]simplify: iters left: 4 (54 enodes) 1545304416.841 * * [misc]simplify: iters left: 3 (149 enodes) 1545304416.930 * * [misc]simplify: iters left: 2 (457 enodes) 1545304417.192 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545304417.192 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545304417.193 * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # 1545304417.193 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1545304417.193 * * [misc]simplify: iters left: 6 (13 enodes) 1545304417.195 * * [misc]simplify: iters left: 5 (24 enodes) 1545304417.199 * * [misc]simplify: iters left: 4 (46 enodes) 1545304417.209 * * [misc]simplify: iters left: 3 (121 enodes) 1545304417.260 * * [misc]simplify: iters left: 2 (419 enodes) 1545304417.571 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545304417.571 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545304417.571 * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # 1545304417.572 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1545304417.572 * * [misc]simplify: iters left: 6 (13 enodes) 1545304417.576 * * [misc]simplify: iters left: 5 (25 enodes) 1545304417.585 * * [misc]simplify: iters left: 4 (54 enodes) 1545304417.608 * * [misc]simplify: iters left: 3 (149 enodes) 1545304417.688 * * [misc]simplify: iters left: 2 (457 enodes) 1545304418.066 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545304418.066 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545304418.066 * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # 1545304418.066 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1545304418.067 * * [misc]simplify: iters left: 6 (13 enodes) 1545304418.071 * * [misc]simplify: iters left: 5 (24 enodes) 1545304418.079 * * [misc]simplify: iters left: 4 (46 enodes) 1545304418.099 * * [misc]simplify: iters left: 3 (121 enodes) 1545304418.188 * * [misc]simplify: iters left: 2 (419 enodes) 1545304418.451 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545304418.451 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.451 * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # 1545304418.451 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1545304418.451 * * [misc]simplify: iters left: 6 (13 enodes) 1545304418.453 * * [misc]simplify: iters left: 5 (20 enodes) 1545304418.457 * * [misc]simplify: iters left: 4 (40 enodes) 1545304418.464 * * [misc]simplify: iters left: 3 (87 enodes) 1545304418.505 * * [misc]simplify: iters left: 2 (260 enodes) 1545304418.715 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1545304418.715 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.715 * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # 1545304418.716 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1545304418.716 * * [misc]simplify: iters left: 6 (13 enodes) 1545304418.718 * * [misc]simplify: iters left: 5 (21 enodes) 1545304418.721 * * [misc]simplify: iters left: 4 (35 enodes) 1545304418.729 * * [misc]simplify: iters left: 3 (71 enodes) 1545304418.759 * * [misc]simplify: iters left: 2 (195 enodes) 1545304418.888 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1545304418.888 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545304418.888 * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # 1545304418.888 * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # 1545304418.888 * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # 1545304418.888 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545304418.888 * * [misc]simplify: iters left: 6 (15 enodes) 1545304418.894 * * [misc]simplify: iters left: 5 (25 enodes) 1545304418.903 * * [misc]simplify: iters left: 4 (52 enodes) 1545304418.912 * * [misc]simplify: iters left: 3 (89 enodes) 1545304418.927 * * [misc]simplify: iters left: 2 (115 enodes) 1545304418.939 * * [misc]simplify: iters left: 1 (117 enodes) 1545304418.950 * [exit]simplify: Simplified to (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3) 1545304418.950 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3)) (sqrt k))) 1545304418.950 * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # 1545304418.950 * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # 1545304418.950 * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # 1545304418.950 * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # 1545304418.950 * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # 1545304418.950 * [enter]simplify: Simplifying (pow n 1/2) 1545304418.951 * * [misc]simplify: iters left: 1 (3 enodes) 1545304418.951 * [exit]simplify: Simplified to (sqrt n) 1545304418.951 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n)) (sqrt k))) 1545304418.951 * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # 1545304418.951 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1545304418.951 * * [misc]simplify: iters left: 3 (7 enodes) 1545304418.952 * * [misc]simplify: iters left: 2 (9 enodes) 1545304418.954 * * [misc]simplify: iters left: 1 (11 enodes) 1545304418.955 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1545304418.955 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545304418.956 * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # 1545304418.956 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545304418.956 * * [misc]simplify: iters left: 3 (7 enodes) 1545304418.957 * * [misc]simplify: iters left: 2 (9 enodes) 1545304418.958 * * [misc]simplify: iters left: 1 (11 enodes) 1545304418.960 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545304418.960 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545304418.960 * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # 1545304418.960 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545304418.960 * * [misc]simplify: iters left: 2 (6 enodes) 1545304418.961 * * [misc]simplify: iters left: 1 (8 enodes) 1545304418.962 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304418.962 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304418.962 * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # 1545304418.962 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1545304418.962 * * [misc]simplify: iters left: 3 (7 enodes) 1545304418.963 * * [misc]simplify: iters left: 2 (9 enodes) 1545304418.964 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1545304418.965 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.965 * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # 1545304418.965 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545304418.965 * * [misc]simplify: iters left: 2 (6 enodes) 1545304418.966 * * [misc]simplify: iters left: 1 (8 enodes) 1545304418.967 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545304418.967 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.967 * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # 1545304418.967 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304418.967 * * [misc]simplify: iters left: 6 (10 enodes) 1545304418.971 * * [misc]simplify: iters left: 5 (13 enodes) 1545304418.974 * * [misc]simplify: iters left: 4 (15 enodes) 1545304418.978 * * [misc]simplify: iters left: 3 (16 enodes) 1545304418.983 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304418.983 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.983 * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # 1545304418.983 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545304418.983 * * [misc]simplify: iters left: 4 (9 enodes) 1545304418.986 * * [misc]simplify: iters left: 3 (12 enodes) 1545304418.990 * * [misc]simplify: iters left: 2 (14 enodes) 1545304418.994 * * [misc]simplify: iters left: 1 (15 enodes) 1545304418.997 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545304418.998 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304418.998 * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # 1545304418.998 * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # 1545304418.998 * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # 1545304418.998 * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # 1545304418.998 * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # 1545304418.998 * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # 1545304418.998 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545304418.998 * * [misc]simplify: iters left: 6 (16 enodes) 1545304419.005 * * [misc]simplify: iters left: 5 (32 enodes) 1545304419.017 * * [misc]simplify: iters left: 4 (74 enodes) 1545304419.053 * * [misc]simplify: iters left: 3 (227 enodes) 1545304419.205 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545304419.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545304419.205 * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # 1545304419.205 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545304419.205 * * [misc]simplify: iters left: 6 (16 enodes) 1545304419.211 * * [misc]simplify: iters left: 5 (31 enodes) 1545304419.222 * * [misc]simplify: iters left: 4 (64 enodes) 1545304419.240 * * [misc]simplify: iters left: 3 (187 enodes) 1545304419.389 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304419.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545304419.389 * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # 1545304419.389 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545304419.389 * * [misc]simplify: iters left: 6 (16 enodes) 1545304419.392 * * [misc]simplify: iters left: 5 (32 enodes) 1545304419.402 * * [misc]simplify: iters left: 4 (74 enodes) 1545304419.427 * * [misc]simplify: iters left: 3 (227 enodes) 1545304419.608 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545304419.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545304419.608 * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # 1545304419.608 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545304419.608 * * [misc]simplify: iters left: 6 (16 enodes) 1545304419.614 * * [misc]simplify: iters left: 5 (31 enodes) 1545304419.628 * * [misc]simplify: iters left: 4 (64 enodes) 1545304419.643 * * [misc]simplify: iters left: 3 (187 enodes) 1545304419.764 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304419.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545304419.764 * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # 1545304419.765 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545304419.765 * * [misc]simplify: iters left: 6 (16 enodes) 1545304419.767 * * [misc]simplify: iters left: 5 (27 enodes) 1545304419.772 * * [misc]simplify: iters left: 4 (58 enodes) 1545304419.784 * * [misc]simplify: iters left: 3 (133 enodes) 1545304419.847 * * [misc]simplify: iters left: 2 (461 enodes) 1545304420.295 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304420.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545304420.296 * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # 1545304420.296 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545304420.296 * * [misc]simplify: iters left: 6 (16 enodes) 1545304420.298 * * [misc]simplify: iters left: 5 (28 enodes) 1545304420.303 * * [misc]simplify: iters left: 4 (52 enodes) 1545304420.314 * * [misc]simplify: iters left: 3 (105 enodes) 1545304420.388 * * [misc]simplify: iters left: 2 (371 enodes) 1545304420.690 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1545304420.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1545304420.690 * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # 1545304420.690 * [enter]simplify: Simplifying (- (log (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1545304420.690 * * [misc]simplify: iters left: 6 (15 enodes) 1545304420.692 * * [misc]simplify: iters left: 5 (24 enodes) 1545304420.696 * * [misc]simplify: iters left: 4 (36 enodes) 1545304420.705 * * [misc]simplify: iters left: 3 (60 enodes) 1545304420.719 * * [misc]simplify: iters left: 2 (109 enodes) 1545304420.781 * * [misc]simplify: iters left: 1 (384 enodes) 1545304421.182 * [exit]simplify: Simplified to (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1545304421.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1545304421.183 * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # 1545304421.183 * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # 1545304421.183 * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # 1545304421.183 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545304421.183 * * [misc]simplify: iters left: 6 (19 enodes) 1545304421.190 * * [misc]simplify: iters left: 5 (37 enodes) 1545304421.204 * * [misc]simplify: iters left: 4 (122 enodes) 1545304421.268 * * [misc]simplify: iters left: 3 (419 enodes) 1545304421.622 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545304421.622 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1545304421.622 * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # 1545304421.622 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545304421.622 * * [misc]simplify: iters left: 6 (17 enodes) 1545304421.632 * * [misc]simplify: iters left: 5 (36 enodes) 1545304421.645 * * [misc]simplify: iters left: 4 (103 enodes) 1545304421.695 * * [misc]simplify: iters left: 3 (352 enodes) 1545304422.131 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1545304422.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1545304422.131 * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # 1545304422.131 * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # 1545304422.131 * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # 1545304422.131 * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # 1545304422.131 * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # 1545304422.131 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304422.132 * * [misc]simplify: iters left: 6 (12 enodes) 1545304422.135 * * [misc]simplify: iters left: 5 (17 enodes) 1545304422.140 * * [misc]simplify: iters left: 4 (19 enodes) 1545304422.150 * * [misc]simplify: iters left: 3 (20 enodes) 1545304422.155 * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545304422.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1545304422.156 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1545304422.156 * * [misc]simplify: iters left: 4 (9 enodes) 1545304422.158 * * [misc]simplify: iters left: 3 (11 enodes) 1545304422.162 * * [misc]simplify: iters left: 2 (13 enodes) 1545304422.166 * * [misc]simplify: iters left: 1 (14 enodes) 1545304422.169 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1545304422.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1545304422.169 * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # 1545304422.170 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545304422.170 * * [misc]simplify: iters left: 5 (11 enodes) 1545304422.173 * * [misc]simplify: iters left: 4 (14 enodes) 1545304422.177 * * [misc]simplify: iters left: 3 (16 enodes) 1545304422.182 * * [misc]simplify: iters left: 2 (17 enodes) 1545304422.186 * [exit]simplify: Simplified to (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545304422.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1545304422.187 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545304422.187 * * [misc]simplify: iters left: 4 (9 enodes) 1545304422.189 * * [misc]simplify: iters left: 3 (11 enodes) 1545304422.192 * * [misc]simplify: iters left: 2 (13 enodes) 1545304422.194 * * [misc]simplify: iters left: 1 (14 enodes) 1545304422.196 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545304422.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1545304422.196 * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # 1545304422.196 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) 1) 1545304422.196 * * [misc]simplify: iters left: 5 (10 enodes) 1545304422.197 * * [misc]simplify: iters left: 4 (15 enodes) 1545304422.200 * * [misc]simplify: iters left: 3 (19 enodes) 1545304422.202 * * [misc]simplify: iters left: 2 (20 enodes) 1545304422.204 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304422.204 * [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)))) 1545304422.204 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545304422.204 * * [misc]simplify: iters left: 4 (8 enodes) 1545304422.205 * * [misc]simplify: iters left: 3 (10 enodes) 1545304422.207 * * [misc]simplify: iters left: 2 (12 enodes) 1545304422.208 * * [misc]simplify: iters left: 1 (13 enodes) 1545304422.210 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545304422.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545304422.210 * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # 1545304422.210 * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # 1545304422.210 * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # 1545304422.210 * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # 1545304422.210 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545304422.210 * * [misc]simplify: iters left: 2 (3 enodes) 1545304422.211 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545304422.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545304422.211 * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # 1545304422.211 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545304422.211 * * [misc]simplify: iters left: 2 (3 enodes) 1545304422.211 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545304422.211 * [misc]simplify: Simplified (2 2) 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)))) 1545304422.211 * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # 1545304422.212 * [enter]simplify: Simplifying (sqrt k) 1545304422.212 * * [misc]simplify: iters left: 1 (2 enodes) 1545304422.212 * [exit]simplify: Simplified to (sqrt k) 1545304422.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1) (sqrt k))) 1545304422.212 * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # 1545304422.212 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304422.212 * * [misc]simplify: iters left: 3 (8 enodes) 1545304422.213 * * [misc]simplify: iters left: 2 (11 enodes) 1545304422.215 * * [misc]simplify: iters left: 1 (13 enodes) 1545304422.216 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304422.216 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1545304422.217 * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # 1545304422.217 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304422.217 * * [misc]simplify: iters left: 6 (18 enodes) 1545304422.220 * * [misc]simplify: iters left: 5 (39 enodes) 1545304422.227 * * [misc]simplify: iters left: 4 (119 enodes) 1545304422.269 * * [misc]simplify: iters left: 3 (334 enodes) 1545304422.439 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545304422.439 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))) (sqrt k))) 1545304422.439 * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # 1545304422.439 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304422.440 * * [misc]simplify: iters left: 6 (12 enodes) 1545304422.445 * * [misc]simplify: iters left: 5 (28 enodes) 1545304422.456 * * [misc]simplify: iters left: 4 (67 enodes) 1545304422.482 * * [misc]simplify: iters left: 3 (180 enodes) 1545304422.626 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304422.626 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304422.626 * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # 1545304422.627 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304422.627 * * [misc]simplify: iters left: 6 (12 enodes) 1545304422.629 * * [misc]simplify: iters left: 5 (22 enodes) 1545304422.633 * * [misc]simplify: iters left: 4 (52 enodes) 1545304422.657 * * [misc]simplify: iters left: 3 (149 enodes) 1545304422.726 * * [misc]simplify: iters left: 2 (453 enodes) 1545304423.585 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545304423.586 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2))) (sqrt k))) 1545304423.586 * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # 1545304423.586 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545304423.586 * * [misc]simplify: iters left: 6 (22 enodes) 1545304423.591 * * [misc]simplify: iters left: 5 (55 enodes) 1545304423.603 * * [misc]simplify: iters left: 4 (175 enodes) 1545304423.689 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1545304423.690 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304423.690 * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # 1545304423.690 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304423.690 * * [misc]simplify: iters left: 3 (8 enodes) 1545304423.691 * * [misc]simplify: iters left: 2 (11 enodes) 1545304423.693 * * [misc]simplify: iters left: 1 (13 enodes) 1545304423.694 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304423.694 * [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 k))) 1545304423.694 * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # 1545304423.695 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304423.695 * * [misc]simplify: iters left: 3 (8 enodes) 1545304423.696 * * [misc]simplify: iters left: 2 (11 enodes) 1545304423.697 * * [misc]simplify: iters left: 1 (13 enodes) 1545304423.699 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304423.699 * [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 k))) 1545304423.699 * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # 1545304423.699 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1545304423.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545304423.699 * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # 1545304423.699 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545304423.700 * * [misc]simplify: iters left: 6 (17 enodes) 1545304423.703 * * [misc]simplify: iters left: 5 (35 enodes) 1545304423.710 * * [misc]simplify: iters left: 4 (74 enodes) 1545304423.725 * * [misc]simplify: iters left: 3 (192 enodes) 1545304423.838 * [exit]simplify: Simplified to (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545304423.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304423.838 * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # 1545304423.839 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1545304423.839 * * [misc]simplify: iters left: 6 (17 enodes) 1545304423.842 * * [misc]simplify: iters left: 5 (29 enodes) 1545304423.847 * * [misc]simplify: iters left: 4 (59 enodes) 1545304423.861 * * [misc]simplify: iters left: 3 (156 enodes) 1545304423.920 * * [misc]simplify: iters left: 2 (468 enodes) 1545304424.693 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) 1545304424.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) (sqrt k))) 1545304424.693 * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # 1545304424.693 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545304424.693 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304424.693 * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # 1545304424.694 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545304424.694 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304424.694 * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # 1545304424.694 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545304424.694 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304424.694 * * * [misc]progress: adding candidates to table 1545304426.377 * * [misc]progress: iteration 3 / 4 1545304426.377 * * * [misc]progress: picking best candidate 1545304426.433 * * * * [misc]pick: Picked # 1545304426.433 * * * [misc]progress: localizing error 1545304426.447 * * * [misc]progress: generating rewritten candidates 1545304426.447 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1545304426.448 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1545304426.449 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545304426.470 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) 1545304426.477 * * * [misc]progress: generating series expansions 1545304426.477 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1545304426.477 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545304426.477 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545304426.477 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304426.477 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304426.477 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304426.477 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.477 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.477 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.477 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.477 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.477 * [misc]taylor: Taking taylor expansion of k in k 1545304426.477 * [misc]backup-simplify: Simplify 0 into 0 1545304426.477 * [misc]backup-simplify: Simplify 1 into 1 1545304426.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.477 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.477 * [misc]taylor: Taking taylor expansion of n in k 1545304426.477 * [misc]backup-simplify: Simplify n into n 1545304426.477 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.478 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.478 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.478 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.478 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.478 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304426.478 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304426.478 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304426.478 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.478 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.478 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.478 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.478 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.478 * [misc]taylor: Taking taylor expansion of k in n 1545304426.478 * [misc]backup-simplify: Simplify k into k 1545304426.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.478 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.478 * [misc]taylor: Taking taylor expansion of n in n 1545304426.478 * [misc]backup-simplify: Simplify 0 into 0 1545304426.478 * [misc]backup-simplify: Simplify 1 into 1 1545304426.478 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.478 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.478 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.478 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304426.479 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304426.479 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304426.479 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304426.479 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304426.479 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.479 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.479 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.479 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.479 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.479 * [misc]taylor: Taking taylor expansion of k in n 1545304426.479 * [misc]backup-simplify: Simplify k into k 1545304426.479 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.479 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.479 * [misc]taylor: Taking taylor expansion of n in n 1545304426.479 * [misc]backup-simplify: Simplify 0 into 0 1545304426.479 * [misc]backup-simplify: Simplify 1 into 1 1545304426.479 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.479 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.479 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304426.479 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304426.480 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.480 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.480 * [misc]taylor: Taking taylor expansion of k in k 1545304426.480 * [misc]backup-simplify: Simplify 0 into 0 1545304426.480 * [misc]backup-simplify: Simplify 1 into 1 1545304426.480 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.480 * [misc]taylor: Taking taylor expansion of n in k 1545304426.480 * [misc]backup-simplify: Simplify n into n 1545304426.480 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.480 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.480 * [misc]backup-simplify: Simplify (- 0) into 0 1545304426.480 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.480 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.480 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.480 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545304426.482 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.482 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545304426.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.482 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.482 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545304426.483 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.483 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.483 * [misc]backup-simplify: Simplify 0 into 0 1545304426.483 * [misc]backup-simplify: Simplify 0 into 0 1545304426.484 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304426.484 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304426.484 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304426.484 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304426.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304426.484 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304426.484 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545304426.487 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304426.487 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304426.487 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.487 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.488 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545304426.489 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.489 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.489 * [misc]backup-simplify: Simplify 0 into 0 1545304426.489 * [misc]backup-simplify: Simplify 0 into 0 1545304426.489 * [misc]backup-simplify: Simplify 0 into 0 1545304426.490 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304426.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.490 * [misc]backup-simplify: Simplify (- 0) into 0 1545304426.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304426.491 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304426.491 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304426.491 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304426.492 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.492 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545304426.492 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.492 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.492 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.492 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of k in k 1545304426.492 * [misc]backup-simplify: Simplify 0 into 0 1545304426.492 * [misc]backup-simplify: Simplify 1 into 1 1545304426.492 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.492 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.492 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304426.492 * [misc]taylor: Taking taylor expansion of n in k 1545304426.492 * [misc]backup-simplify: Simplify n into n 1545304426.492 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304426.492 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304426.492 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.492 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.492 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304426.492 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.492 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.493 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.493 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.493 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of k in n 1545304426.493 * [misc]backup-simplify: Simplify k into k 1545304426.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.493 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.493 * [misc]taylor: Taking taylor expansion of n in n 1545304426.493 * [misc]backup-simplify: Simplify 0 into 0 1545304426.493 * [misc]backup-simplify: Simplify 1 into 1 1545304426.493 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.493 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.493 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.493 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.493 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.493 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.494 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.494 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.494 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.494 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.494 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of k in n 1545304426.494 * [misc]backup-simplify: Simplify k into k 1545304426.494 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.494 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.494 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.494 * [misc]taylor: Taking taylor expansion of n in n 1545304426.494 * [misc]backup-simplify: Simplify 0 into 0 1545304426.494 * [misc]backup-simplify: Simplify 1 into 1 1545304426.494 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.494 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.494 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.494 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.494 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.495 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.495 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.495 * [misc]backup-simplify: Simplify -1 into -1 1545304426.495 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.495 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.495 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of k in k 1545304426.495 * [misc]backup-simplify: Simplify 0 into 0 1545304426.495 * [misc]backup-simplify: Simplify 1 into 1 1545304426.495 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.495 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.495 * [misc]taylor: Taking taylor expansion of n in k 1545304426.495 * [misc]backup-simplify: Simplify n into n 1545304426.495 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.495 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304426.495 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304426.495 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304426.495 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545304426.495 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545304426.496 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.496 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.496 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304426.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.497 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.498 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.498 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304426.499 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.499 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.499 * [misc]backup-simplify: Simplify 0 into 0 1545304426.499 * [misc]backup-simplify: Simplify 0 into 0 1545304426.499 * [misc]backup-simplify: Simplify 0 into 0 1545304426.499 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.502 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304426.502 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.502 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.502 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.502 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.502 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304426.503 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.503 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.503 * [misc]backup-simplify: Simplify 0 into 0 1545304426.504 * [misc]backup-simplify: Simplify 0 into 0 1545304426.504 * [misc]backup-simplify: Simplify 0 into 0 1545304426.504 * [misc]backup-simplify: Simplify 0 into 0 1545304426.504 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.508 * [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 1545304426.508 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.508 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304426.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.509 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545304426.511 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304426.511 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.511 * [misc]backup-simplify: Simplify 0 into 0 1545304426.511 * [misc]backup-simplify: Simplify 0 into 0 1545304426.511 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304426.511 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545304426.511 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545304426.511 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.511 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.511 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.511 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.511 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.511 * [misc]backup-simplify: Simplify -1 into -1 1545304426.511 * [misc]taylor: Taking taylor expansion of k in k 1545304426.511 * [misc]backup-simplify: Simplify 0 into 0 1545304426.511 * [misc]backup-simplify: Simplify 1 into 1 1545304426.511 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.511 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.511 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304426.511 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.511 * [misc]backup-simplify: Simplify -1 into -1 1545304426.511 * [misc]taylor: Taking taylor expansion of n in k 1545304426.511 * [misc]backup-simplify: Simplify n into n 1545304426.512 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304426.512 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304426.512 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.512 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.512 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304426.512 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304426.512 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.512 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.512 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.512 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.512 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.512 * [misc]backup-simplify: Simplify -1 into -1 1545304426.512 * [misc]taylor: Taking taylor expansion of k in n 1545304426.512 * [misc]backup-simplify: Simplify k into k 1545304426.512 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.512 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.512 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.512 * [misc]backup-simplify: Simplify -1 into -1 1545304426.512 * [misc]taylor: Taking taylor expansion of n in n 1545304426.512 * [misc]backup-simplify: Simplify 0 into 0 1545304426.512 * [misc]backup-simplify: Simplify 1 into 1 1545304426.512 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.513 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.513 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.513 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.513 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.513 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.513 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.513 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.513 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304426.513 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304426.513 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.513 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.513 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.513 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.513 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.513 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.513 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.514 * [misc]backup-simplify: Simplify -1 into -1 1545304426.514 * [misc]taylor: Taking taylor expansion of k in n 1545304426.514 * [misc]backup-simplify: Simplify k into k 1545304426.514 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.514 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.514 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.514 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.514 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.514 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.514 * [misc]backup-simplify: Simplify -1 into -1 1545304426.514 * [misc]taylor: Taking taylor expansion of n in n 1545304426.514 * [misc]backup-simplify: Simplify 0 into 0 1545304426.514 * [misc]backup-simplify: Simplify 1 into 1 1545304426.514 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.514 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.514 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.514 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.515 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.515 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.515 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.515 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of k in k 1545304426.515 * [misc]backup-simplify: Simplify 0 into 0 1545304426.515 * [misc]backup-simplify: Simplify 1 into 1 1545304426.515 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.515 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545304426.515 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.515 * [misc]backup-simplify: Simplify -1 into -1 1545304426.516 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.516 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.516 * [misc]taylor: Taking taylor expansion of n in k 1545304426.516 * [misc]backup-simplify: Simplify n into n 1545304426.516 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.516 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304426.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.516 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304426.516 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545304426.516 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545304426.517 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.517 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.518 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304426.520 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304426.520 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.521 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.521 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.521 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545304426.523 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.523 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.523 * [misc]backup-simplify: Simplify 0 into 0 1545304426.523 * [misc]backup-simplify: Simplify 0 into 0 1545304426.523 * [misc]backup-simplify: Simplify 0 into 0 1545304426.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.528 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304426.528 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.528 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.529 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.529 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545304426.532 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.532 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.532 * [misc]backup-simplify: Simplify 0 into 0 1545304426.532 * [misc]backup-simplify: Simplify 0 into 0 1545304426.532 * [misc]backup-simplify: Simplify 0 into 0 1545304426.532 * [misc]backup-simplify: Simplify 0 into 0 1545304426.532 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.539 * [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 1545304426.540 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.540 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545304426.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.542 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545304426.545 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304426.545 * [misc]taylor: Taking taylor expansion of 0 in k 1545304426.545 * [misc]backup-simplify: Simplify 0 into 0 1545304426.545 * [misc]backup-simplify: Simplify 0 into 0 1545304426.546 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304426.546 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1545304426.546 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 k 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545304426.546 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in (k) around 0 1545304426.546 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.546 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.546 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.546 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.546 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.546 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.546 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.546 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.546 * [misc]taylor: Taking taylor expansion of k in k 1545304426.546 * [misc]backup-simplify: Simplify 0 into 0 1545304426.546 * [misc]backup-simplify: Simplify 1 into 1 1545304426.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.546 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.546 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.546 * [misc]backup-simplify: Simplify PI into PI 1545304426.547 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.547 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.547 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.548 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.548 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.548 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.548 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.548 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.548 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.549 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.549 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.549 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.549 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.549 * [misc]taylor: Taking taylor expansion of k in k 1545304426.549 * [misc]backup-simplify: Simplify 0 into 0 1545304426.549 * [misc]backup-simplify: Simplify 1 into 1 1545304426.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.549 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.549 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.549 * [misc]backup-simplify: Simplify PI into PI 1545304426.549 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.549 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.549 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.550 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.551 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.551 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545304426.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.554 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.554 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545304426.558 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545304426.559 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545304426.563 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.564 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545304426.569 * [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))) 1545304426.570 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545304426.574 * [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)))) 1545304426.574 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.574 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545304426.574 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.574 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.574 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.574 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.574 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.574 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.574 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.574 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.574 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.574 * [misc]taylor: Taking taylor expansion of k in k 1545304426.574 * [misc]backup-simplify: Simplify 0 into 0 1545304426.574 * [misc]backup-simplify: Simplify 1 into 1 1545304426.574 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.575 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.575 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.575 * [misc]backup-simplify: Simplify PI into PI 1545304426.575 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.575 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.575 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.576 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.576 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.576 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.576 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.576 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.576 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.576 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.576 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.576 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.576 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.576 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.576 * [misc]taylor: Taking taylor expansion of k in k 1545304426.576 * [misc]backup-simplify: Simplify 0 into 0 1545304426.577 * [misc]backup-simplify: Simplify 1 into 1 1545304426.577 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.577 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.577 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.577 * [misc]backup-simplify: Simplify PI into PI 1545304426.577 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.577 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.577 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.578 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.578 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.578 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.578 * [misc]backup-simplify: Simplify 0 into 0 1545304426.578 * [misc]backup-simplify: Simplify 0 into 0 1545304426.578 * [misc]backup-simplify: Simplify 0 into 0 1545304426.579 * [misc]backup-simplify: Simplify 0 into 0 1545304426.579 * [misc]backup-simplify: Simplify 0 into 0 1545304426.579 * [misc]backup-simplify: Simplify 0 into 0 1545304426.579 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow PI (fma -1/2 k 1/2)) 1545304426.579 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) into (pow PI (fma -1/2 (/ -1 k) 1/2)) 1545304426.579 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545304426.579 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.579 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.579 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.579 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.579 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.579 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.579 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.579 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.579 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.579 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.579 * [misc]backup-simplify: Simplify -1 into -1 1545304426.579 * [misc]taylor: Taking taylor expansion of k in k 1545304426.579 * [misc]backup-simplify: Simplify 0 into 0 1545304426.579 * [misc]backup-simplify: Simplify 1 into 1 1545304426.579 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.579 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.580 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.580 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.580 * [misc]backup-simplify: Simplify PI into PI 1545304426.580 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.580 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.580 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.581 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.581 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.581 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.581 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.581 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.581 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.581 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.581 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.581 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.581 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.582 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.582 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.582 * [misc]backup-simplify: Simplify -1 into -1 1545304426.582 * [misc]taylor: Taking taylor expansion of k in k 1545304426.582 * [misc]backup-simplify: Simplify 0 into 0 1545304426.582 * [misc]backup-simplify: Simplify 1 into 1 1545304426.582 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.582 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.582 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.582 * [misc]backup-simplify: Simplify PI into PI 1545304426.582 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.582 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.583 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.583 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.584 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify 0 into 0 1545304426.584 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2))) into (exp (* (log PI) (fma -1/2 k 1/2))) 1545304426.584 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545304426.585 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) into (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) 1545304426.585 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in (k n) around 0 1545304426.585 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.585 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.585 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.585 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.585 * [misc]taylor: Taking taylor expansion of k in n 1545304426.585 * [misc]backup-simplify: Simplify k into k 1545304426.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.585 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.585 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.585 * [misc]backup-simplify: Simplify PI into PI 1545304426.586 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.586 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.586 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.586 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545304426.586 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545304426.586 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1545304426.586 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304426.587 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304426.587 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304426.587 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.587 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.587 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.587 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.587 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.587 * [misc]taylor: Taking taylor expansion of k in n 1545304426.587 * [misc]backup-simplify: Simplify k into k 1545304426.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.587 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.587 * [misc]taylor: Taking taylor expansion of n in n 1545304426.587 * [misc]backup-simplify: Simplify 0 into 0 1545304426.587 * [misc]backup-simplify: Simplify 1 into 1 1545304426.587 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.587 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.587 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.587 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.588 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304426.588 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304426.588 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1545304426.588 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1545304426.588 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1545304426.588 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.588 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.588 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.588 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.588 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.588 * [misc]taylor: Taking taylor expansion of k in n 1545304426.588 * [misc]backup-simplify: Simplify k into k 1545304426.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.588 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.588 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.588 * [misc]backup-simplify: Simplify 2 into 2 1545304426.588 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.588 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.588 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.589 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545304426.589 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545304426.589 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.589 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.589 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.589 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.589 * [misc]taylor: Taking taylor expansion of k in k 1545304426.589 * [misc]backup-simplify: Simplify 0 into 0 1545304426.589 * [misc]backup-simplify: Simplify 1 into 1 1545304426.589 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.589 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.589 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.589 * [misc]backup-simplify: Simplify PI into PI 1545304426.590 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.590 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.590 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.591 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.591 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.591 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545304426.591 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304426.591 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304426.591 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304426.591 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.591 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.592 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.592 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.592 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.592 * [misc]taylor: Taking taylor expansion of k in k 1545304426.592 * [misc]backup-simplify: Simplify 0 into 0 1545304426.592 * [misc]backup-simplify: Simplify 1 into 1 1545304426.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.592 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.592 * [misc]taylor: Taking taylor expansion of n in k 1545304426.592 * [misc]backup-simplify: Simplify n into n 1545304426.592 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.592 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.592 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.592 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.592 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.592 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545304426.592 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545304426.592 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545304426.592 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.592 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.592 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.593 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.593 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.593 * [misc]taylor: Taking taylor expansion of k in k 1545304426.593 * [misc]backup-simplify: Simplify 0 into 0 1545304426.593 * [misc]backup-simplify: Simplify 1 into 1 1545304426.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.593 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.593 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.593 * [misc]backup-simplify: Simplify 2 into 2 1545304426.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.593 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.593 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.594 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545304426.594 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545304426.594 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1545304426.594 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.594 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.594 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.594 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.594 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.594 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.594 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.594 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.594 * [misc]taylor: Taking taylor expansion of k in k 1545304426.594 * [misc]backup-simplify: Simplify 0 into 0 1545304426.594 * [misc]backup-simplify: Simplify 1 into 1 1545304426.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.594 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.595 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.595 * [misc]backup-simplify: Simplify PI into PI 1545304426.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.595 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.595 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.596 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.596 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1545304426.596 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304426.596 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304426.596 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304426.596 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.597 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.597 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.597 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.597 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.597 * [misc]taylor: Taking taylor expansion of k in k 1545304426.597 * [misc]backup-simplify: Simplify 0 into 0 1545304426.597 * [misc]backup-simplify: Simplify 1 into 1 1545304426.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.597 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.597 * [misc]taylor: Taking taylor expansion of n in k 1545304426.597 * [misc]backup-simplify: Simplify n into n 1545304426.597 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.597 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.597 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.597 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.597 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.597 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1545304426.597 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1545304426.597 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1545304426.597 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.598 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.598 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.598 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.598 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.598 * [misc]taylor: Taking taylor expansion of k in k 1545304426.598 * [misc]backup-simplify: Simplify 0 into 0 1545304426.598 * [misc]backup-simplify: Simplify 1 into 1 1545304426.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.598 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.598 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.598 * [misc]backup-simplify: Simplify 2 into 2 1545304426.598 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.598 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.598 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.599 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545304426.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545304426.600 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545304426.600 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1545304426.600 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304426.600 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.600 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.600 * [misc]backup-simplify: Simplify 2 into 2 1545304426.600 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.600 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.600 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.601 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.601 * [misc]taylor: Taking taylor expansion of n in n 1545304426.601 * [misc]backup-simplify: Simplify 0 into 0 1545304426.601 * [misc]backup-simplify: Simplify 1 into 1 1545304426.601 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.601 * [misc]backup-simplify: Simplify PI into PI 1545304426.601 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.602 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.602 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304426.602 * [misc]backup-simplify: Simplify 0 into 0 1545304426.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545304426.607 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.607 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.608 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1545304426.610 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545304426.611 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304426.611 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.612 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304426.612 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304426.613 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545304426.616 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.616 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.616 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.617 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545304426.620 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545304426.623 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1545304426.623 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.623 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.623 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.623 * [misc]backup-simplify: Simplify 2 into 2 1545304426.624 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.624 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.624 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.624 * [misc]backup-simplify: Simplify 2 into 2 1545304426.624 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.624 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.624 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.624 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.624 * [misc]taylor: Taking taylor expansion of n in n 1545304426.624 * [misc]backup-simplify: Simplify 0 into 0 1545304426.624 * [misc]backup-simplify: Simplify 1 into 1 1545304426.624 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.624 * [misc]backup-simplify: Simplify PI into PI 1545304426.625 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.625 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.626 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.626 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.626 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.626 * [misc]backup-simplify: Simplify 2 into 2 1545304426.626 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.626 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.626 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.626 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.626 * [misc]backup-simplify: Simplify PI into PI 1545304426.627 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.627 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.627 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.627 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.627 * [misc]backup-simplify: Simplify PI into PI 1545304426.627 * [misc]taylor: Taking taylor expansion of n in n 1545304426.627 * [misc]backup-simplify: Simplify 0 into 0 1545304426.627 * [misc]backup-simplify: Simplify 1 into 1 1545304426.627 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.628 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.628 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.628 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304426.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.628 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304426.628 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304426.628 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.628 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.629 * [misc]backup-simplify: Simplify 2 into 2 1545304426.629 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.629 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.629 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.629 * [misc]taylor: Taking taylor expansion of n in n 1545304426.629 * [misc]backup-simplify: Simplify 0 into 0 1545304426.629 * [misc]backup-simplify: Simplify 1 into 1 1545304426.629 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.629 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.629 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.629 * [misc]taylor: Taking taylor expansion of n in n 1545304426.629 * [misc]backup-simplify: Simplify 0 into 0 1545304426.629 * [misc]backup-simplify: Simplify 1 into 1 1545304426.629 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.629 * [misc]backup-simplify: Simplify PI into PI 1545304426.630 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.630 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.630 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.631 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.631 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1545304426.631 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1545304426.632 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.632 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545304426.633 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545304426.633 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.633 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.634 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304426.634 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304426.634 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.635 * [misc]backup-simplify: Simplify (- 0) into 0 1545304426.635 * [misc]backup-simplify: Simplify 0 into 0 1545304426.636 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304426.637 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304426.641 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545304426.641 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1545304426.645 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545304426.647 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304426.647 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.647 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304426.648 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304426.651 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545304426.655 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.656 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.656 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545304426.661 * [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))) 1545304426.667 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1545304426.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) in n 1545304426.667 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545304426.667 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304426.667 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304426.667 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545304426.667 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545304426.667 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.668 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.668 * [misc]backup-simplify: Simplify 2 into 2 1545304426.668 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.668 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545304426.668 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.668 * [misc]taylor: Taking taylor expansion of n in n 1545304426.668 * [misc]backup-simplify: Simplify 0 into 0 1545304426.668 * [misc]backup-simplify: Simplify 1 into 1 1545304426.668 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.668 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.668 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.669 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.669 * [misc]taylor: Taking taylor expansion of n in n 1545304426.669 * [misc]backup-simplify: Simplify 0 into 0 1545304426.669 * [misc]backup-simplify: Simplify 1 into 1 1545304426.669 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.669 * [misc]backup-simplify: Simplify PI into PI 1545304426.669 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.669 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.670 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.670 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.670 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))))) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304426.670 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304426.670 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.670 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.670 * [misc]backup-simplify: Simplify 2 into 2 1545304426.671 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.671 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.671 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.671 * [misc]backup-simplify: Simplify 2 into 2 1545304426.671 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.671 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.671 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.671 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.671 * [misc]taylor: Taking taylor expansion of n in n 1545304426.671 * [misc]backup-simplify: Simplify 0 into 0 1545304426.671 * [misc]backup-simplify: Simplify 1 into 1 1545304426.671 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.671 * [misc]backup-simplify: Simplify PI into PI 1545304426.672 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.672 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.672 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.673 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))) in n 1545304426.673 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545304426.673 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304426.673 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304426.673 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545304426.673 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545304426.673 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.673 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.673 * [misc]backup-simplify: Simplify 2 into 2 1545304426.673 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.674 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.674 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545304426.674 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.674 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.674 * [misc]backup-simplify: Simplify PI into PI 1545304426.674 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.674 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.674 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.674 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.675 * [misc]backup-simplify: Simplify PI into PI 1545304426.675 * [misc]taylor: Taking taylor expansion of n in n 1545304426.675 * [misc]backup-simplify: Simplify 0 into 0 1545304426.675 * [misc]backup-simplify: Simplify 1 into 1 1545304426.675 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.675 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.676 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.676 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.676 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))) in n 1545304426.676 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1545304426.676 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545304426.676 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545304426.676 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1545304426.676 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1545304426.676 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.676 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.676 * [misc]backup-simplify: Simplify 2 into 2 1545304426.677 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.677 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304426.677 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.677 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.677 * [misc]backup-simplify: Simplify 2 into 2 1545304426.677 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.677 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.677 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.677 * [misc]taylor: Taking taylor expansion of n in n 1545304426.677 * [misc]backup-simplify: Simplify 0 into 0 1545304426.677 * [misc]backup-simplify: Simplify 1 into 1 1545304426.677 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.677 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.677 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.677 * [misc]taylor: Taking taylor expansion of n in n 1545304426.677 * [misc]backup-simplify: Simplify 0 into 0 1545304426.677 * [misc]backup-simplify: Simplify 1 into 1 1545304426.677 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.677 * [misc]backup-simplify: Simplify PI into PI 1545304426.678 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.678 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.679 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.679 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545304426.679 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545304426.679 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.679 * [misc]backup-simplify: Simplify 2 into 2 1545304426.679 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.679 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545304426.679 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.680 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.680 * [misc]backup-simplify: Simplify 2 into 2 1545304426.680 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.680 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.680 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.680 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.680 * [misc]backup-simplify: Simplify PI into PI 1545304426.680 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.680 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.680 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.680 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.680 * [misc]backup-simplify: Simplify PI into PI 1545304426.680 * [misc]taylor: Taking taylor expansion of n in n 1545304426.680 * [misc]backup-simplify: Simplify 0 into 0 1545304426.680 * [misc]backup-simplify: Simplify 1 into 1 1545304426.681 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.681 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.681 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.682 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.682 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1545304426.682 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545304426.682 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545304426.682 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1545304426.682 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1545304426.682 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304426.682 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.682 * [misc]backup-simplify: Simplify 2 into 2 1545304426.682 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304426.683 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304426.683 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1545304426.683 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.683 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.683 * [misc]backup-simplify: Simplify PI into PI 1545304426.683 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.683 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.683 * [misc]taylor: Taking taylor expansion of n in n 1545304426.683 * [misc]backup-simplify: Simplify 0 into 0 1545304426.683 * [misc]backup-simplify: Simplify 1 into 1 1545304426.683 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.683 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.683 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.683 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.683 * [misc]backup-simplify: Simplify PI into PI 1545304426.683 * [misc]taylor: Taking taylor expansion of n in n 1545304426.683 * [misc]backup-simplify: Simplify 0 into 0 1545304426.683 * [misc]backup-simplify: Simplify 1 into 1 1545304426.684 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.684 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.685 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.685 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545304426.686 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545304426.686 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545304426.686 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304426.687 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1545304426.687 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1545304426.689 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1545304426.689 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304426.689 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545304426.690 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545304426.692 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545304426.692 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304426.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.692 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304426.692 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1545304426.693 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1545304426.693 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545304426.694 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545304426.695 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1545304426.696 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1545304426.696 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545304426.696 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.697 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1545304426.697 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1545304426.698 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1545304426.698 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545304426.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.699 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.699 * [misc]backup-simplify: Simplify 0 into 0 1545304426.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545304426.701 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1545304426.703 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545304426.705 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1545304426.708 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.709 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545304426.710 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545304426.713 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545304426.716 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.716 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.716 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545304426.717 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304426.717 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304426.719 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1545304426.723 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545304426.728 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545304426.732 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545304426.732 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304426.733 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545304426.734 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545304426.735 * [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)))) 1545304426.736 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545304426.741 * [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)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log 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) (* (pow n 2) (pow PI 2))))))))))))) 1545304426.741 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 1545304426.741 * [misc]approximate: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in (k n) around 0 1545304426.741 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.741 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.741 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.741 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of k in n 1545304426.741 * [misc]backup-simplify: Simplify k into k 1545304426.741 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.741 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.741 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.741 * [misc]backup-simplify: Simplify 2 into 2 1545304426.741 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.741 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.742 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.742 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.742 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545304426.742 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.742 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.742 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.742 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of k in n 1545304426.742 * [misc]backup-simplify: Simplify k into k 1545304426.742 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.742 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.742 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.742 * [misc]backup-simplify: Simplify PI into PI 1545304426.742 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.743 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.743 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.743 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545304426.743 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.743 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.743 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.743 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.743 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of k in n 1545304426.743 * [misc]backup-simplify: Simplify k into k 1545304426.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.743 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.743 * [misc]taylor: Taking taylor expansion of n in n 1545304426.743 * [misc]backup-simplify: Simplify 0 into 0 1545304426.743 * [misc]backup-simplify: Simplify 1 into 1 1545304426.744 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.744 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.744 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.744 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.744 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.744 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.744 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.744 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.744 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.744 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.744 * [misc]taylor: Taking taylor expansion of k in k 1545304426.744 * [misc]backup-simplify: Simplify 0 into 0 1545304426.744 * [misc]backup-simplify: Simplify 1 into 1 1545304426.744 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.744 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.744 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.745 * [misc]backup-simplify: Simplify 2 into 2 1545304426.745 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.745 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.745 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.745 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545304426.745 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545304426.745 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.745 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.745 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.745 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.745 * [misc]taylor: Taking taylor expansion of k in k 1545304426.745 * [misc]backup-simplify: Simplify 0 into 0 1545304426.745 * [misc]backup-simplify: Simplify 1 into 1 1545304426.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.746 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.746 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.746 * [misc]backup-simplify: Simplify PI into PI 1545304426.746 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.746 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.746 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.746 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.747 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.747 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.747 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.747 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.747 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of k in k 1545304426.747 * [misc]backup-simplify: Simplify 0 into 0 1545304426.747 * [misc]backup-simplify: Simplify 1 into 1 1545304426.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.747 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of n in k 1545304426.747 * [misc]backup-simplify: Simplify n into n 1545304426.747 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304426.747 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304426.747 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.747 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.747 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304426.747 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.747 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1545304426.747 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.748 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.748 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.748 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.748 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.748 * [misc]taylor: Taking taylor expansion of k in k 1545304426.748 * [misc]backup-simplify: Simplify 0 into 0 1545304426.748 * [misc]backup-simplify: Simplify 1 into 1 1545304426.748 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.748 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.748 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.748 * [misc]backup-simplify: Simplify 2 into 2 1545304426.748 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.748 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.748 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.748 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545304426.748 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1545304426.749 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.749 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.749 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.749 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of k in k 1545304426.749 * [misc]backup-simplify: Simplify 0 into 0 1545304426.749 * [misc]backup-simplify: Simplify 1 into 1 1545304426.749 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.749 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.749 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.749 * [misc]backup-simplify: Simplify PI into PI 1545304426.749 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.749 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.749 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.750 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.750 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.750 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.750 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.750 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.750 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of k in k 1545304426.750 * [misc]backup-simplify: Simplify 0 into 0 1545304426.750 * [misc]backup-simplify: Simplify 1 into 1 1545304426.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.750 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304426.750 * [misc]taylor: Taking taylor expansion of n in k 1545304426.750 * [misc]backup-simplify: Simplify n into n 1545304426.750 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304426.750 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304426.750 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.750 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.751 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304426.751 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.752 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304426.752 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1545304426.752 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.752 * [misc]backup-simplify: Simplify 2 into 2 1545304426.752 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.752 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.752 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.752 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.752 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.752 * [misc]taylor: Taking taylor expansion of k in n 1545304426.752 * [misc]backup-simplify: Simplify k into k 1545304426.752 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.752 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.753 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.753 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.753 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545304426.753 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.753 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.753 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.753 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of k in n 1545304426.753 * [misc]backup-simplify: Simplify k into k 1545304426.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.753 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.753 * [misc]taylor: Taking taylor expansion of n in n 1545304426.753 * [misc]backup-simplify: Simplify 0 into 0 1545304426.753 * [misc]backup-simplify: Simplify 1 into 1 1545304426.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.753 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.754 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.754 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.754 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.754 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.754 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.754 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.754 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.754 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.754 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of k in n 1545304426.754 * [misc]backup-simplify: Simplify k into k 1545304426.754 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.754 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.754 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.754 * [misc]backup-simplify: Simplify PI into PI 1545304426.754 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.754 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.754 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.755 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545304426.755 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.755 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545304426.755 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545304426.756 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1545304426.756 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545304426.756 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304426.756 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.756 * [misc]backup-simplify: Simplify 0 into 0 1545304426.756 * [misc]backup-simplify: Simplify 0 into 0 1545304426.758 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.758 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.758 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.758 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545304426.759 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.759 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304426.761 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.761 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.761 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.761 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304426.762 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.762 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545304426.762 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.762 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.762 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545304426.764 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545304426.766 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.766 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545304426.766 * [misc]backup-simplify: Simplify 0 into 0 1545304426.767 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304426.767 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304426.767 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.767 * [misc]backup-simplify: Simplify 0 into 0 1545304426.767 * [misc]backup-simplify: Simplify 0 into 0 1545304426.767 * [misc]backup-simplify: Simplify 0 into 0 1545304426.772 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.772 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.772 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.773 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545304426.776 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.776 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.780 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304426.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.781 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.781 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304426.783 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.784 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545304426.784 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.784 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.788 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545304426.789 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545304426.791 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.792 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545304426.792 * [misc]backup-simplify: Simplify 0 into 0 1545304426.792 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304426.793 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1545304426.793 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.793 * [misc]backup-simplify: Simplify 0 into 0 1545304426.793 * [misc]backup-simplify: Simplify 0 into 0 1545304426.794 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545304426.794 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (* (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)))) into (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) 1545304426.794 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in (k n) around 0 1545304426.794 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1545304426.794 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.794 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1545304426.794 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1545304426.794 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.794 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.794 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.795 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.795 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.795 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.795 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.795 * [misc]backup-simplify: Simplify -1 into -1 1545304426.795 * [misc]taylor: Taking taylor expansion of k in n 1545304426.795 * [misc]backup-simplify: Simplify k into k 1545304426.795 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.795 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.795 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.795 * [misc]backup-simplify: Simplify PI into PI 1545304426.795 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.795 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.795 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.796 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545304426.796 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.796 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.796 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.796 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304426.796 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304426.796 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.796 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.796 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.796 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.796 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.797 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.797 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.797 * [misc]backup-simplify: Simplify -1 into -1 1545304426.797 * [misc]taylor: Taking taylor expansion of k in n 1545304426.797 * [misc]backup-simplify: Simplify k into k 1545304426.797 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.797 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.797 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.797 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.797 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.797 * [misc]backup-simplify: Simplify -1 into -1 1545304426.797 * [misc]taylor: Taking taylor expansion of n in n 1545304426.797 * [misc]backup-simplify: Simplify 0 into 0 1545304426.797 * [misc]backup-simplify: Simplify 1 into 1 1545304426.797 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.797 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.797 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.797 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.798 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.798 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.798 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.798 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.798 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1545304426.799 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1545304426.799 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.799 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.799 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.799 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.799 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.799 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.799 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.799 * [misc]backup-simplify: Simplify -1 into -1 1545304426.799 * [misc]taylor: Taking taylor expansion of k in n 1545304426.799 * [misc]backup-simplify: Simplify k into k 1545304426.799 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.799 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.799 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.799 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.799 * [misc]backup-simplify: Simplify 2 into 2 1545304426.799 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.799 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.799 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.800 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.800 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545304426.800 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.800 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.800 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.800 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.800 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.800 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.800 * [misc]backup-simplify: Simplify -1 into -1 1545304426.800 * [misc]taylor: Taking taylor expansion of k in k 1545304426.800 * [misc]backup-simplify: Simplify 0 into 0 1545304426.800 * [misc]backup-simplify: Simplify 1 into 1 1545304426.801 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.801 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.801 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.801 * [misc]backup-simplify: Simplify PI into PI 1545304426.801 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.801 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.801 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.802 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.802 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.802 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545304426.802 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.802 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304426.802 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304426.802 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.802 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.802 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.802 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.802 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.803 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.803 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.803 * [misc]backup-simplify: Simplify -1 into -1 1545304426.803 * [misc]taylor: Taking taylor expansion of k in k 1545304426.803 * [misc]backup-simplify: Simplify 0 into 0 1545304426.803 * [misc]backup-simplify: Simplify 1 into 1 1545304426.803 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.803 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304426.803 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304426.803 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.803 * [misc]backup-simplify: Simplify -1 into -1 1545304426.803 * [misc]taylor: Taking taylor expansion of n in k 1545304426.803 * [misc]backup-simplify: Simplify n into n 1545304426.803 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304426.803 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304426.803 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.804 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.804 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304426.804 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304426.804 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.804 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545304426.804 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545304426.804 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.804 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.804 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.804 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.804 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.804 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.804 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.804 * [misc]backup-simplify: Simplify -1 into -1 1545304426.804 * [misc]taylor: Taking taylor expansion of k in k 1545304426.804 * [misc]backup-simplify: Simplify 0 into 0 1545304426.804 * [misc]backup-simplify: Simplify 1 into 1 1545304426.804 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.805 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.805 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.805 * [misc]backup-simplify: Simplify 2 into 2 1545304426.805 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.805 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.805 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.806 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545304426.806 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545304426.806 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.806 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.806 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.806 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.806 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.806 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.806 * [misc]backup-simplify: Simplify -1 into -1 1545304426.806 * [misc]taylor: Taking taylor expansion of k in k 1545304426.806 * [misc]backup-simplify: Simplify 0 into 0 1545304426.806 * [misc]backup-simplify: Simplify 1 into 1 1545304426.806 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.807 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.807 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.807 * [misc]backup-simplify: Simplify PI into PI 1545304426.807 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.807 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.807 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.808 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.808 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.808 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.808 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.808 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.808 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.808 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.808 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.808 * [misc]backup-simplify: Simplify -1 into -1 1545304426.808 * [misc]taylor: Taking taylor expansion of k in k 1545304426.808 * [misc]backup-simplify: Simplify 0 into 0 1545304426.808 * [misc]backup-simplify: Simplify 1 into 1 1545304426.809 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.809 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304426.809 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304426.809 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.809 * [misc]backup-simplify: Simplify -1 into -1 1545304426.809 * [misc]taylor: Taking taylor expansion of n in k 1545304426.809 * [misc]backup-simplify: Simplify n into n 1545304426.809 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304426.809 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304426.809 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.809 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.809 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304426.810 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304426.810 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.810 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.810 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.810 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.810 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.810 * [misc]backup-simplify: Simplify -1 into -1 1545304426.810 * [misc]taylor: Taking taylor expansion of k in k 1545304426.810 * [misc]backup-simplify: Simplify 0 into 0 1545304426.810 * [misc]backup-simplify: Simplify 1 into 1 1545304426.810 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.810 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.810 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545304426.810 * [misc]taylor: Taking taylor expansion of 2 in k 1545304426.810 * [misc]backup-simplify: Simplify 2 into 2 1545304426.810 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.811 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.811 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.811 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545304426.811 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1545304426.812 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1545304426.813 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1545304426.813 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.813 * [misc]backup-simplify: Simplify -1 into -1 1545304426.813 * [misc]taylor: Taking taylor expansion of n in n 1545304426.813 * [misc]backup-simplify: Simplify 0 into 0 1545304426.813 * [misc]backup-simplify: Simplify 1 into 1 1545304426.813 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.813 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.813 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.813 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.813 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.813 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.814 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.814 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.814 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.814 * [misc]backup-simplify: Simplify -1 into -1 1545304426.814 * [misc]taylor: Taking taylor expansion of k in n 1545304426.814 * [misc]backup-simplify: Simplify k into k 1545304426.814 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.815 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.815 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.815 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.816 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.816 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.816 * [misc]backup-simplify: Simplify PI into PI 1545304426.816 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.816 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.816 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.816 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.816 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.816 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.816 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.816 * [misc]backup-simplify: Simplify -1 into -1 1545304426.816 * [misc]taylor: Taking taylor expansion of k in n 1545304426.816 * [misc]backup-simplify: Simplify k into k 1545304426.816 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.816 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.816 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.816 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545304426.817 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.817 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.817 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.817 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545304426.817 * [misc]taylor: Taking taylor expansion of 2 in n 1545304426.817 * [misc]backup-simplify: Simplify 2 into 2 1545304426.817 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545304426.817 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.817 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.817 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.817 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.817 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.817 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.817 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.817 * [misc]backup-simplify: Simplify -1 into -1 1545304426.817 * [misc]taylor: Taking taylor expansion of k in n 1545304426.817 * [misc]backup-simplify: Simplify k into k 1545304426.817 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.817 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.817 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.817 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.818 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545304426.818 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545304426.818 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545304426.819 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545304426.819 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545304426.819 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545304426.820 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.820 * [misc]backup-simplify: Simplify 0 into 0 1545304426.820 * [misc]backup-simplify: Simplify 0 into 0 1545304426.820 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.820 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545304426.821 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304426.822 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.822 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.822 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.824 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.824 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304426.825 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.826 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545304426.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.826 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.826 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.826 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304426.828 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304426.828 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304426.829 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.829 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545304426.829 * [misc]backup-simplify: Simplify 0 into 0 1545304426.830 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545304426.830 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545304426.830 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.830 * [misc]backup-simplify: Simplify 0 into 0 1545304426.830 * [misc]backup-simplify: Simplify 0 into 0 1545304426.830 * [misc]backup-simplify: Simplify 0 into 0 1545304426.831 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.831 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.833 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545304426.834 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304426.835 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.835 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.835 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.835 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.838 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.838 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304426.839 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.840 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545304426.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.840 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.841 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.841 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.845 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304426.845 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304426.847 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.848 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545304426.848 * [misc]backup-simplify: Simplify 0 into 0 1545304426.849 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545304426.850 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))))) into 0 1545304426.850 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.850 * [misc]backup-simplify: Simplify 0 into 0 1545304426.850 * [misc]backup-simplify: Simplify 0 into 0 1545304426.851 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545304426.851 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) 1545304426.851 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545304426.851 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in (k n) around 0 1545304426.851 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in n 1545304426.851 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1545304426.851 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1545304426.851 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1545304426.851 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.851 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.851 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.851 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.852 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.852 * [misc]taylor: Taking taylor expansion of k in n 1545304426.852 * [misc]backup-simplify: Simplify k into k 1545304426.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.852 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.852 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.852 * [misc]backup-simplify: Simplify PI into PI 1545304426.852 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.852 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.852 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.852 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545304426.853 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545304426.853 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304426.853 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304426.853 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304426.853 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304426.853 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.853 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304426.853 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.853 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.853 * [misc]taylor: Taking taylor expansion of k in n 1545304426.853 * [misc]backup-simplify: Simplify k into k 1545304426.853 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.853 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.853 * [misc]taylor: Taking taylor expansion of n in n 1545304426.853 * [misc]backup-simplify: Simplify 0 into 0 1545304426.853 * [misc]backup-simplify: Simplify 1 into 1 1545304426.853 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.853 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304426.854 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304426.854 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.854 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304426.854 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304426.854 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.854 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.854 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.854 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.854 * [misc]taylor: Taking taylor expansion of k in k 1545304426.854 * [misc]backup-simplify: Simplify 0 into 0 1545304426.854 * [misc]backup-simplify: Simplify 1 into 1 1545304426.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.854 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.854 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.854 * [misc]backup-simplify: Simplify PI into PI 1545304426.855 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.855 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.855 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.855 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.856 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.856 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304426.856 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304426.856 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304426.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.856 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.856 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.856 * [misc]taylor: Taking taylor expansion of k in k 1545304426.856 * [misc]backup-simplify: Simplify 0 into 0 1545304426.856 * [misc]backup-simplify: Simplify 1 into 1 1545304426.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.857 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of n in k 1545304426.857 * [misc]backup-simplify: Simplify n into n 1545304426.857 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.857 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.857 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.857 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.857 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.857 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.857 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.857 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.857 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.857 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.857 * [misc]taylor: Taking taylor expansion of k in k 1545304426.857 * [misc]backup-simplify: Simplify 0 into 0 1545304426.857 * [misc]backup-simplify: Simplify 1 into 1 1545304426.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.858 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.858 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.858 * [misc]backup-simplify: Simplify PI into PI 1545304426.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.858 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.858 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.859 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.859 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545304426.859 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304426.859 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304426.859 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304426.859 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304426.859 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304426.859 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304426.859 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.860 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.860 * [misc]taylor: Taking taylor expansion of k in k 1545304426.860 * [misc]backup-simplify: Simplify 0 into 0 1545304426.860 * [misc]backup-simplify: Simplify 1 into 1 1545304426.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.860 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304426.860 * [misc]taylor: Taking taylor expansion of n in k 1545304426.860 * [misc]backup-simplify: Simplify n into n 1545304426.860 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304426.860 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304426.860 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304426.860 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304426.860 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304426.861 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 1545304426.861 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.861 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.861 * [misc]taylor: Taking taylor expansion of n in n 1545304426.861 * [misc]backup-simplify: Simplify 0 into 0 1545304426.861 * [misc]backup-simplify: Simplify 1 into 1 1545304426.861 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.861 * [misc]backup-simplify: Simplify PI into PI 1545304426.861 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.862 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.862 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.862 * [misc]backup-simplify: Simplify 0 into 0 1545304426.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304426.863 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.863 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304426.864 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304426.866 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.866 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304426.866 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545304426.870 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545304426.872 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 1545304426.872 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log n))) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.872 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.872 * [misc]taylor: Taking taylor expansion of n in n 1545304426.872 * [misc]backup-simplify: Simplify 0 into 0 1545304426.872 * [misc]backup-simplify: Simplify 1 into 1 1545304426.872 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.872 * [misc]backup-simplify: Simplify PI into PI 1545304426.872 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.873 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.874 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.874 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of n in n 1545304426.874 * [misc]backup-simplify: Simplify 0 into 0 1545304426.874 * [misc]backup-simplify: Simplify 1 into 1 1545304426.874 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log PI) (sqrt (* PI n)))) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.874 * [misc]taylor: Taking taylor expansion of (* (log PI) (sqrt (* PI n))) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.874 * [misc]backup-simplify: Simplify PI into PI 1545304426.874 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.874 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.874 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.874 * [misc]backup-simplify: Simplify PI into PI 1545304426.874 * [misc]taylor: Taking taylor expansion of n in n 1545304426.874 * [misc]backup-simplify: Simplify 0 into 0 1545304426.874 * [misc]backup-simplify: Simplify 1 into 1 1545304426.875 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.875 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.876 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.876 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.877 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1545304426.877 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.877 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1545304426.877 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304426.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.878 * [misc]backup-simplify: Simplify (- 0) into 0 1545304426.878 * [misc]backup-simplify: Simplify 0 into 0 1545304426.878 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545304426.879 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304426.880 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304426.881 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304426.885 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.886 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304426.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545304426.893 * [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))) 1545304426.896 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 1545304426.896 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) in n 1545304426.896 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1545304426.896 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304426.896 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304426.896 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1545304426.896 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304426.896 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304426.896 * [misc]taylor: Taking taylor expansion of n in n 1545304426.896 * [misc]backup-simplify: Simplify 0 into 0 1545304426.896 * [misc]backup-simplify: Simplify 1 into 1 1545304426.896 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.896 * [misc]backup-simplify: Simplify PI into PI 1545304426.896 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304426.897 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304426.897 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.898 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.898 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of n in n 1545304426.898 * [misc]backup-simplify: Simplify 0 into 0 1545304426.898 * [misc]backup-simplify: Simplify 1 into 1 1545304426.898 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.898 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545304426.898 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545304426.898 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (sqrt (* PI n))) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.898 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.898 * [misc]backup-simplify: Simplify PI into PI 1545304426.899 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.899 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.899 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.899 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.899 * [misc]backup-simplify: Simplify PI into PI 1545304426.899 * [misc]taylor: Taking taylor expansion of n in n 1545304426.899 * [misc]backup-simplify: Simplify 0 into 0 1545304426.899 * [misc]backup-simplify: Simplify 1 into 1 1545304426.899 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.900 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.900 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.900 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))) in n 1545304426.900 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545304426.900 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545304426.900 * [misc]taylor: Taking taylor expansion of (* (* (log PI) (log n)) (sqrt (* PI n))) in n 1545304426.900 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1545304426.900 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.900 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.900 * [misc]backup-simplify: Simplify PI into PI 1545304426.901 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.901 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304426.901 * [misc]taylor: Taking taylor expansion of n in n 1545304426.901 * [misc]backup-simplify: Simplify 0 into 0 1545304426.901 * [misc]backup-simplify: Simplify 1 into 1 1545304426.901 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.901 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545304426.901 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545304426.901 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.901 * [misc]backup-simplify: Simplify PI into PI 1545304426.901 * [misc]taylor: Taking taylor expansion of n in n 1545304426.901 * [misc]backup-simplify: Simplify 0 into 0 1545304426.901 * [misc]backup-simplify: Simplify 1 into 1 1545304426.901 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545304426.902 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545304426.902 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304426.902 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304426.903 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.903 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.903 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545304426.903 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1545304426.903 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304426.904 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545304426.905 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1545304426.905 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545304426.905 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.905 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1545304426.906 * [misc]backup-simplify: Simplify (* (* (log PI) (log n)) 0) into 0 1545304426.906 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545304426.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.906 * [misc]backup-simplify: Simplify 0 into 0 1545304426.908 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.909 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304426.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1545304426.909 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1545304426.912 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.913 * [misc]backup-simplify: Simplify (+ (* (log PI) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1545304426.915 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1545304426.916 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* PI (log n)))) (- (* +nan.0 (* (log PI) PI)))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1545304426.917 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1545304426.918 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1545304426.919 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304426.920 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545304426.921 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545304426.923 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1545304426.923 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304426.923 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1545304426.923 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.923 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.923 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.923 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.923 * [misc]taylor: Taking taylor expansion of k in n 1545304426.923 * [misc]backup-simplify: Simplify k into k 1545304426.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.924 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.924 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.924 * [misc]backup-simplify: Simplify PI into PI 1545304426.924 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.924 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.924 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.925 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545304426.925 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.925 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.925 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.925 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.925 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of k in n 1545304426.925 * [misc]backup-simplify: Simplify k into k 1545304426.925 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.925 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.925 * [misc]taylor: Taking taylor expansion of n in n 1545304426.925 * [misc]backup-simplify: Simplify 0 into 0 1545304426.926 * [misc]backup-simplify: Simplify 1 into 1 1545304426.926 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.926 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.926 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.926 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.927 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.927 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.927 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.927 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.927 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.927 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.927 * [misc]taylor: Taking taylor expansion of k in k 1545304426.927 * [misc]backup-simplify: Simplify 0 into 0 1545304426.927 * [misc]backup-simplify: Simplify 1 into 1 1545304426.928 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.928 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.928 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.928 * [misc]backup-simplify: Simplify PI into PI 1545304426.928 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.928 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.928 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.929 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.929 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.929 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.929 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304426.929 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304426.929 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.929 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.929 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.929 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.929 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.929 * [misc]taylor: Taking taylor expansion of k in k 1545304426.930 * [misc]backup-simplify: Simplify 0 into 0 1545304426.930 * [misc]backup-simplify: Simplify 1 into 1 1545304426.930 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.930 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304426.930 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304426.930 * [misc]taylor: Taking taylor expansion of n in k 1545304426.930 * [misc]backup-simplify: Simplify n into n 1545304426.930 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304426.930 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304426.930 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.930 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.930 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304426.931 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.931 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.931 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.931 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.931 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of k in k 1545304426.931 * [misc]backup-simplify: Simplify 0 into 0 1545304426.931 * [misc]backup-simplify: Simplify 1 into 1 1545304426.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.931 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.931 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.931 * [misc]backup-simplify: Simplify PI into PI 1545304426.931 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.932 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.932 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.932 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545304426.933 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1545304426.933 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304426.933 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.933 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.933 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of k in k 1545304426.933 * [misc]backup-simplify: Simplify 0 into 0 1545304426.933 * [misc]backup-simplify: Simplify 1 into 1 1545304426.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.933 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304426.933 * [misc]taylor: Taking taylor expansion of n in k 1545304426.933 * [misc]backup-simplify: Simplify n into n 1545304426.933 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304426.933 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304426.934 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304426.934 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304426.934 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304426.934 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304426.934 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304426.934 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304426.934 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.934 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1545304426.934 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1545304426.934 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.934 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.935 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.935 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.935 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.935 * [misc]taylor: Taking taylor expansion of k in n 1545304426.935 * [misc]backup-simplify: Simplify k into k 1545304426.935 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.935 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.935 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.935 * [misc]backup-simplify: Simplify PI into PI 1545304426.935 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.935 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.935 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.936 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545304426.936 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545304426.936 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304426.936 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304426.936 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304426.936 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304426.936 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304426.936 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304426.936 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.936 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304426.936 * [misc]taylor: Taking taylor expansion of k in n 1545304426.936 * [misc]backup-simplify: Simplify k into k 1545304426.937 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304426.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.937 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304426.937 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304426.937 * [misc]taylor: Taking taylor expansion of n in n 1545304426.937 * [misc]backup-simplify: Simplify 0 into 0 1545304426.937 * [misc]backup-simplify: Simplify 1 into 1 1545304426.937 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304426.937 * [misc]backup-simplify: Simplify (log 1) into 0 1545304426.937 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304426.937 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304426.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.938 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304426.938 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304426.938 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545304426.938 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1545304426.939 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545304426.939 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.939 * [misc]backup-simplify: Simplify 0 into 0 1545304426.939 * [misc]backup-simplify: Simplify 0 into 0 1545304426.939 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304426.941 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304426.942 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.942 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.942 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304426.944 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304426.946 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304426.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.947 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545304426.948 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.949 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545304426.949 * [misc]backup-simplify: Simplify 0 into 0 1545304426.949 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304426.949 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.949 * [misc]backup-simplify: Simplify 0 into 0 1545304426.949 * [misc]backup-simplify: Simplify 0 into 0 1545304426.950 * [misc]backup-simplify: Simplify 0 into 0 1545304426.950 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304426.954 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304426.954 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.955 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.955 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304426.955 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304426.957 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.961 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.961 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.961 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304426.961 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.962 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545304426.963 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.963 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545304426.963 * [misc]backup-simplify: Simplify 0 into 0 1545304426.964 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304426.964 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.964 * [misc]backup-simplify: Simplify 0 into 0 1545304426.964 * [misc]backup-simplify: Simplify 0 into 0 1545304426.964 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545304426.964 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) 1545304426.964 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1545304426.964 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.964 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.964 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.964 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.964 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.964 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.964 * [misc]backup-simplify: Simplify -1 into -1 1545304426.964 * [misc]taylor: Taking taylor expansion of k in n 1545304426.964 * [misc]backup-simplify: Simplify k into k 1545304426.964 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.965 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.965 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.965 * [misc]backup-simplify: Simplify PI into PI 1545304426.965 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.965 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.965 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.965 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545304426.965 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.965 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.965 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304426.965 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304426.965 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.965 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.965 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.966 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.966 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.966 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.966 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.966 * [misc]backup-simplify: Simplify -1 into -1 1545304426.966 * [misc]taylor: Taking taylor expansion of k in n 1545304426.966 * [misc]backup-simplify: Simplify k into k 1545304426.966 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.966 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.966 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.966 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.966 * [misc]backup-simplify: Simplify -1 into -1 1545304426.966 * [misc]taylor: Taking taylor expansion of n in n 1545304426.966 * [misc]backup-simplify: Simplify 0 into 0 1545304426.966 * [misc]backup-simplify: Simplify 1 into 1 1545304426.966 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.966 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.966 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.966 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.967 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.967 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.967 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.967 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.967 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.967 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.967 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.967 * [misc]backup-simplify: Simplify -1 into -1 1545304426.967 * [misc]taylor: Taking taylor expansion of k in k 1545304426.967 * [misc]backup-simplify: Simplify 0 into 0 1545304426.967 * [misc]backup-simplify: Simplify 1 into 1 1545304426.967 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.967 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.967 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.967 * [misc]backup-simplify: Simplify PI into PI 1545304426.967 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.968 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.968 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.968 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.968 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.968 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.968 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304426.968 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304426.968 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.968 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.968 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.968 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.968 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.968 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.968 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.968 * [misc]backup-simplify: Simplify -1 into -1 1545304426.968 * [misc]taylor: Taking taylor expansion of k in k 1545304426.968 * [misc]backup-simplify: Simplify 0 into 0 1545304426.968 * [misc]backup-simplify: Simplify 1 into 1 1545304426.968 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.969 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.969 * [misc]backup-simplify: Simplify -1 into -1 1545304426.969 * [misc]taylor: Taking taylor expansion of n in k 1545304426.969 * [misc]backup-simplify: Simplify n into n 1545304426.969 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304426.969 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304426.969 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.969 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.969 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304426.969 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304426.969 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.969 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.969 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.969 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.969 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.969 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.969 * [misc]backup-simplify: Simplify -1 into -1 1545304426.969 * [misc]taylor: Taking taylor expansion of k in k 1545304426.969 * [misc]backup-simplify: Simplify 0 into 0 1545304426.969 * [misc]backup-simplify: Simplify 1 into 1 1545304426.969 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.969 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.970 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545304426.970 * [misc]taylor: Taking taylor expansion of PI in k 1545304426.970 * [misc]backup-simplify: Simplify PI into PI 1545304426.970 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.970 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.970 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.970 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545304426.970 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1545304426.970 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304426.971 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.971 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304426.971 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.971 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.971 * [misc]backup-simplify: Simplify -1 into -1 1545304426.971 * [misc]taylor: Taking taylor expansion of k in k 1545304426.971 * [misc]backup-simplify: Simplify 0 into 0 1545304426.971 * [misc]backup-simplify: Simplify 1 into 1 1545304426.971 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304426.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.971 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304426.971 * [misc]taylor: Taking taylor expansion of -1 in k 1545304426.971 * [misc]backup-simplify: Simplify -1 into -1 1545304426.971 * [misc]taylor: Taking taylor expansion of n in k 1545304426.971 * [misc]backup-simplify: Simplify n into n 1545304426.971 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304426.971 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304426.971 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304426.971 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304426.971 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304426.971 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304426.972 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) 1545304426.972 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.972 * [misc]backup-simplify: Simplify -1 into -1 1545304426.972 * [misc]taylor: Taking taylor expansion of n in n 1545304426.972 * [misc]backup-simplify: Simplify 0 into 0 1545304426.972 * [misc]backup-simplify: Simplify 1 into 1 1545304426.972 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304426.972 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304426.972 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.972 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.972 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.972 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.972 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.972 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.972 * [misc]backup-simplify: Simplify -1 into -1 1545304426.972 * [misc]taylor: Taking taylor expansion of k in n 1545304426.972 * [misc]backup-simplify: Simplify k into k 1545304426.973 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.973 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.973 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.973 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.973 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304426.973 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304426.973 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304426.973 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304426.973 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545304426.973 * [misc]taylor: Taking taylor expansion of PI in n 1545304426.973 * [misc]backup-simplify: Simplify PI into PI 1545304426.974 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545304426.974 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304426.974 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304426.974 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304426.974 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304426.974 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304426.974 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304426.974 * [misc]taylor: Taking taylor expansion of -1 in n 1545304426.974 * [misc]backup-simplify: Simplify -1 into -1 1545304426.974 * [misc]taylor: Taking taylor expansion of k in n 1545304426.974 * [misc]backup-simplify: Simplify k into k 1545304426.974 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304426.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304426.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304426.974 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304426.974 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304426.974 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545304426.975 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545304426.975 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545304426.976 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545304426.976 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545304426.976 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.976 * [misc]backup-simplify: Simplify 0 into 0 1545304426.976 * [misc]backup-simplify: Simplify 0 into 0 1545304426.976 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.977 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.977 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.980 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545304426.980 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304426.982 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.982 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304426.982 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304426.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304426.985 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304426.985 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304426.987 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304426.987 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304426.987 * [misc]backup-simplify: Simplify 0 into 0 1545304426.988 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1545304426.988 * [misc]taylor: Taking taylor expansion of 0 in n 1545304426.988 * [misc]backup-simplify: Simplify 0 into 0 1545304426.988 * [misc]backup-simplify: Simplify 0 into 0 1545304426.988 * [misc]backup-simplify: Simplify 0 into 0 1545304426.988 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.989 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.993 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545304426.994 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304426.996 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304426.996 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304426.997 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304426.997 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304426.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304426.997 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304427.002 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304427.002 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304427.004 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304427.005 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545304427.005 * [misc]backup-simplify: Simplify 0 into 0 1545304427.006 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1545304427.006 * [misc]taylor: Taking taylor expansion of 0 in n 1545304427.006 * [misc]backup-simplify: Simplify 0 into 0 1545304427.006 * [misc]backup-simplify: Simplify 0 into 0 1545304427.007 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545304427.007 * * * [misc]progress: simplifying candidates 1545304427.007 * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # 1545304427.007 * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # 1545304427.007 * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # 1545304427.007 * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # 1545304427.007 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304427.007 * * [misc]simplify: iters left: 2 (5 enodes) 1545304427.009 * * [misc]simplify: iters left: 1 (7 enodes) 1545304427.011 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304427.011 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))))) (sqrt k))) 1545304427.011 * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # 1545304427.011 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304427.011 * * [misc]simplify: iters left: 2 (5 enodes) 1545304427.013 * * [misc]simplify: iters left: 1 (7 enodes) 1545304427.015 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304427.015 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))))) (sqrt k))) 1545304427.015 * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # 1545304427.016 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304427.016 * * [misc]simplify: iters left: 1 (4 enodes) 1545304427.017 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304427.017 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2)))) (sqrt k))) 1545304427.017 * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # 1545304427.017 * [enter]simplify: Simplifying (pow n 1/2) 1545304427.017 * * [misc]simplify: iters left: 1 (3 enodes) 1545304427.018 * [exit]simplify: Simplified to (sqrt n) 1545304427.018 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n)))) (sqrt k))) 1545304427.018 * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # 1545304427.018 * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # 1545304427.018 * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # 1545304427.018 * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # 1545304427.019 * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # 1545304427.019 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304427.019 * * [misc]simplify: iters left: 2 (5 enodes) 1545304427.021 * * [misc]simplify: iters left: 1 (7 enodes) 1545304427.023 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304427.023 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304427.023 * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # 1545304427.023 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304427.023 * * [misc]simplify: iters left: 2 (5 enodes) 1545304427.025 * * [misc]simplify: iters left: 1 (7 enodes) 1545304427.027 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304427.027 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304427.027 * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # 1545304427.027 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304427.027 * * [misc]simplify: iters left: 1 (4 enodes) 1545304427.028 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304427.028 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304427.028 * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # 1545304427.029 * [enter]simplify: Simplifying (pow PI 1/2) 1545304427.029 * * [misc]simplify: iters left: 1 (3 enodes) 1545304427.030 * [exit]simplify: Simplified to (sqrt PI) 1545304427.030 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (* -1/2 k)) (sqrt PI)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304427.030 * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # 1545304427.030 * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # 1545304427.030 * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # 1545304427.030 * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # 1545304427.030 * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # 1545304427.031 * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # 1545304427.031 * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # 1545304427.031 * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # 1545304427.031 * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # 1545304427.031 * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # 1545304427.031 * [enter]simplify: Simplifying (* 2 (* PI n)) 1545304427.031 * * [misc]simplify: iters left: 4 (5 enodes) 1545304427.033 * * [misc]simplify: iters left: 3 (9 enodes) 1545304427.035 * * [misc]simplify: iters left: 2 (15 enodes) 1545304427.039 * * [misc]simplify: iters left: 1 (17 enodes) 1545304427.042 * [exit]simplify: Simplified to (* (* n PI) 2) 1545304427.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n PI) 2) (fma -1/2 k 1/2)) (sqrt k))) 1545304427.042 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304427.042 * * [misc]simplify: iters left: 1 (4 enodes) 1545304427.042 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304427.042 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (fma -1/2 k 1/2)) (sqrt k))) 1545304427.042 * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # 1545304427.043 * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # 1545304427.043 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2)))) 1545304427.043 * * [misc]simplify: iters left: 6 (15 enodes) 1545304427.047 * * [misc]simplify: iters left: 5 (28 enodes) 1545304427.052 * * [misc]simplify: iters left: 4 (70 enodes) 1545304427.070 * * [misc]simplify: iters left: 3 (203 enodes) 1545304427.151 * [exit]simplify: Simplified to (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2))) 1545304427.151 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2)))) (sqrt k))) 1545304427.151 * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # 1545304427.152 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2))))) 1545304427.152 * * [misc]simplify: iters left: 6 (15 enodes) 1545304427.157 * * [misc]simplify: iters left: 5 (27 enodes) 1545304427.167 * * [misc]simplify: iters left: 4 (59 enodes) 1545304427.195 * * [misc]simplify: iters left: 3 (168 enodes) 1545304427.269 * * [misc]simplify: iters left: 2 (472 enodes) 1545304427.579 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log n) (log PI)) (* (fma -1/2 k 1/2) (log 2))) 1545304427.579 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (+ (log n) (log PI)) (* (fma -1/2 k 1/2) (log 2)))) (sqrt k))) 1545304427.579 * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # 1545304427.579 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2)))) 1545304427.579 * * [misc]simplify: iters left: 6 (15 enodes) 1545304427.585 * * [misc]simplify: iters left: 5 (26 enodes) 1545304427.590 * * [misc]simplify: iters left: 4 (59 enodes) 1545304427.608 * * [misc]simplify: iters left: 3 (168 enodes) 1545304427.671 * * [misc]simplify: iters left: 2 (449 enodes) 1545304427.924 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) 1545304427.924 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545304427.924 * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # 1545304427.924 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2))))) 1545304427.924 * * [misc]simplify: iters left: 6 (15 enodes) 1545304427.927 * * [misc]simplify: iters left: 5 (27 enodes) 1545304427.934 * * [misc]simplify: iters left: 4 (54 enodes) 1545304427.957 * * [misc]simplify: iters left: 3 (139 enodes) 1545304428.004 * * [misc]simplify: iters left: 2 (390 enodes) 1545304428.213 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) 1545304428.213 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1545304428.213 * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # 1545304428.213 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (log (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1545304428.213 * * [misc]simplify: iters left: 6 (14 enodes) 1545304428.218 * * [misc]simplify: iters left: 5 (23 enodes) 1545304428.225 * * [misc]simplify: iters left: 4 (41 enodes) 1545304428.239 * * [misc]simplify: iters left: 3 (86 enodes) 1545304428.256 * * [misc]simplify: iters left: 2 (191 enodes) 1545304428.343 * * [misc]simplify: iters left: 1 (486 enodes) 1545304428.676 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2))) 1545304428.676 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1545304428.676 * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # 1545304428.676 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2)))) 1545304428.677 * * [misc]simplify: iters left: 6 (15 enodes) 1545304428.682 * * [misc]simplify: iters left: 5 (28 enodes) 1545304428.692 * * [misc]simplify: iters left: 4 (64 enodes) 1545304428.721 * * [misc]simplify: iters left: 3 (175 enodes) 1545304428.785 * * [misc]simplify: iters left: 2 (481 enodes) 1545304429.132 * [exit]simplify: Simplified to (fma (+ (log PI) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log 2))) 1545304429.132 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log 2)))) (sqrt k))) 1545304429.132 * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # 1545304429.132 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2))))) 1545304429.132 * * [misc]simplify: iters left: 6 (15 enodes) 1545304429.135 * * [misc]simplify: iters left: 5 (27 enodes) 1545304429.140 * * [misc]simplify: iters left: 4 (53 enodes) 1545304429.163 * * [misc]simplify: iters left: 3 (140 enodes) 1545304429.224 * * [misc]simplify: iters left: 2 (411 enodes) 1545304429.470 * [exit]simplify: Simplified to (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log PI))) 1545304429.470 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log PI)))) (sqrt k))) 1545304429.470 * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # 1545304429.470 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2)))) 1545304429.470 * * [misc]simplify: iters left: 6 (15 enodes) 1545304429.476 * * [misc]simplify: iters left: 5 (26 enodes) 1545304429.485 * * [misc]simplify: iters left: 4 (53 enodes) 1545304429.508 * * [misc]simplify: iters left: 3 (140 enodes) 1545304429.572 * * [misc]simplify: iters left: 2 (403 enodes) 1545304429.788 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) 1545304429.788 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2)))) (sqrt k))) 1545304429.788 * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # 1545304429.788 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2))))) 1545304429.789 * * [misc]simplify: iters left: 6 (15 enodes) 1545304429.791 * * [misc]simplify: iters left: 5 (27 enodes) 1545304429.796 * * [misc]simplify: iters left: 4 (48 enodes) 1545304429.811 * * [misc]simplify: iters left: 3 (112 enodes) 1545304429.847 * * [misc]simplify: iters left: 2 (330 enodes) 1545304430.069 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n))) 1545304430.069 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n)))) (sqrt k))) 1545304430.069 * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # 1545304430.069 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (log (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1545304430.069 * * [misc]simplify: iters left: 6 (14 enodes) 1545304430.072 * * [misc]simplify: iters left: 5 (23 enodes) 1545304430.075 * * [misc]simplify: iters left: 4 (36 enodes) 1545304430.081 * * [misc]simplify: iters left: 3 (66 enodes) 1545304430.097 * * [misc]simplify: iters left: 2 (179 enodes) 1545304430.161 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log PI)) (* (fma k -1/2 1/2) (log 2))) 1545304430.161 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log n) (log PI)) (* (fma k -1/2 1/2) (log 2)))) (sqrt k))) 1545304430.161 * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # 1545304430.162 * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # 1545304430.162 * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # 1545304430.162 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) 1545304430.162 * * [misc]simplify: iters left: 6 (18 enodes) 1545304430.168 * * [misc]simplify: iters left: 5 (33 enodes) 1545304430.180 * * [misc]simplify: iters left: 4 (101 enodes) 1545304430.207 * * [misc]simplify: iters left: 3 (293 enodes) 1545304430.379 * [exit]simplify: Simplified to (* (* (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))) (* (pow (pow 2 (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))))) 1545304430.379 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))) (* (pow (pow 2 (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))))) (sqrt k))) 1545304430.379 * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # 1545304430.379 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1545304430.380 * * [misc]simplify: iters left: 6 (16 enodes) 1545304430.385 * * [misc]simplify: iters left: 5 (32 enodes) 1545304430.396 * * [misc]simplify: iters left: 4 (87 enodes) 1545304430.418 * * [misc]simplify: iters left: 3 (252 enodes) 1545304430.615 * [exit]simplify: Simplified to (* (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (pow (pow 2 (fma k -1/2 1/2)) 3)) (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))))) 1545304430.615 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (pow (pow 2 (fma k -1/2 1/2)) 3)) (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))))) (sqrt k))) 1545304430.615 * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # 1545304430.615 * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # 1545304430.616 * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # 1545304430.616 * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # 1545304430.616 * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # 1545304430.616 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545304430.616 * * [misc]simplify: iters left: 2 (6 enodes) 1545304430.618 * * [misc]simplify: iters left: 1 (8 enodes) 1545304430.620 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304430.620 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304430.620 * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # 1545304430.621 * [enter]simplify: Simplifying (pow 2 (* -1/2 k)) 1545304430.621 * * [misc]simplify: iters left: 3 (5 enodes) 1545304430.622 * * [misc]simplify: iters left: 2 (6 enodes) 1545304430.624 * [exit]simplify: Simplified to (pow 2 (* k -1/2)) 1545304430.624 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (* k -1/2)) (* (pow 2 1/2) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304430.624 * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # 1545304430.625 * [enter]simplify: Simplifying (* (cbrt (pow 2 (fma -1/2 k 1/2))) (cbrt (pow 2 (fma -1/2 k 1/2)))) 1545304430.625 * * [misc]simplify: iters left: 5 (8 enodes) 1545304430.627 * * [misc]simplify: iters left: 4 (10 enodes) 1545304430.630 * * [misc]simplify: iters left: 3 (12 enodes) 1545304430.633 * * [misc]simplify: iters left: 2 (13 enodes) 1545304430.639 * [exit]simplify: Simplified to (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) 1545304430.639 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) (* (cbrt (pow 2 (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304430.639 * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # 1545304430.639 * [enter]simplify: Simplifying (sqrt (pow 2 (fma -1/2 k 1/2))) 1545304430.639 * * [misc]simplify: iters left: 3 (7 enodes) 1545304430.641 * * [misc]simplify: iters left: 2 (9 enodes) 1545304430.644 * * [misc]simplify: iters left: 1 (11 enodes) 1545304430.647 * [exit]simplify: Simplified to (sqrt (pow 2 (fma k -1/2 1/2))) 1545304430.647 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow 2 (fma k -1/2 1/2))) (* (sqrt (pow 2 (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304430.647 * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # 1545304430.647 * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # 1545304430.647 * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # 1545304430.647 * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # 1545304430.647 * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # 1545304430.647 * [enter]simplify: Simplifying (* PI n) 1545304430.647 * * [misc]simplify: iters left: 2 (3 enodes) 1545304430.648 * * [misc]simplify: iters left: 1 (4 enodes) 1545304430.648 * [exit]simplify: Simplified to (* PI n) 1545304430.648 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))) 1545304430.649 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304430.649 * * [misc]simplify: iters left: 1 (4 enodes) 1545304430.649 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304430.649 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))) 1545304430.649 * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # 1545304430.649 * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # 1545304430.649 * [enter]simplify: Simplifying (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1545304430.650 * * [misc]simplify: iters left: 5 (11 enodes) 1545304430.651 * * [misc]simplify: iters left: 4 (19 enodes) 1545304430.654 * * [misc]simplify: iters left: 3 (39 enodes) 1545304430.661 * * [misc]simplify: iters left: 2 (88 enodes) 1545304430.682 * * [misc]simplify: iters left: 1 (168 enodes) 1545304430.730 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) 1545304430.730 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (+ (log PI) (log n)) (fma -1/2 k 1/2)))) (sqrt k))) 1545304430.730 * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # 1545304430.730 * [enter]simplify: Simplifying (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1545304430.731 * * [misc]simplify: iters left: 5 (11 enodes) 1545304430.732 * * [misc]simplify: iters left: 4 (18 enodes) 1545304430.735 * * [misc]simplify: iters left: 3 (33 enodes) 1545304430.745 * * [misc]simplify: iters left: 2 (64 enodes) 1545304430.773 * * [misc]simplify: iters left: 1 (152 enodes) 1545304430.826 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) 1545304430.826 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (+ (log PI) (log n)) (fma -1/2 k 1/2)))) (sqrt k))) 1545304430.826 * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # 1545304430.827 * [enter]simplify: Simplifying (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1545304430.827 * * [misc]simplify: iters left: 5 (11 enodes) 1545304430.828 * * [misc]simplify: iters left: 4 (17 enodes) 1545304430.831 * * [misc]simplify: iters left: 3 (33 enodes) 1545304430.836 * * [misc]simplify: iters left: 2 (64 enodes) 1545304430.850 * * [misc]simplify: iters left: 1 (153 enodes) 1545304430.896 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (+ (log PI) (log n))) 1545304430.896 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (fma k -1/2 1/2) (+ (log PI) (log n))))) (sqrt k))) 1545304430.896 * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # 1545304430.896 * [enter]simplify: Simplifying (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1545304430.896 * * [misc]simplify: iters left: 5 (11 enodes) 1545304430.901 * * [misc]simplify: iters left: 4 (18 enodes) 1545304430.906 * * [misc]simplify: iters left: 3 (28 enodes) 1545304430.913 * * [misc]simplify: iters left: 2 (48 enodes) 1545304430.922 * * [misc]simplify: iters left: 1 (112 enodes) 1545304430.945 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (+ (log n) (log PI))) 1545304430.945 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (fma k -1/2 1/2) (+ (log n) (log PI))))) (sqrt k))) 1545304430.945 * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # 1545304430.945 * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # 1545304430.945 * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # 1545304430.945 * [enter]simplify: Simplifying (* (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1545304430.946 * * [misc]simplify: iters left: 6 (13 enodes) 1545304430.948 * * [misc]simplify: iters left: 5 (22 enodes) 1545304430.951 * * [misc]simplify: iters left: 4 (49 enodes) 1545304430.964 * * [misc]simplify: iters left: 3 (83 enodes) 1545304430.989 * * [misc]simplify: iters left: 2 (105 enodes) 1545304431.018 * * [misc]simplify: iters left: 1 (108 enodes) 1545304431.042 * [exit]simplify: Simplified to (pow (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 3) 1545304431.042 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (cbrt (pow (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 3))) (sqrt k))) 1545304431.042 * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # 1545304431.042 * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # 1545304431.043 * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # 1545304431.043 * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # 1545304431.043 * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # 1545304431.043 * [enter]simplify: Simplifying (pow n 1/2) 1545304431.043 * * [misc]simplify: iters left: 1 (3 enodes) 1545304431.044 * [exit]simplify: Simplified to (sqrt n) 1545304431.044 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n))) (sqrt k))) 1545304431.044 * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # 1545304431.044 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1545304431.045 * * [misc]simplify: iters left: 3 (7 enodes) 1545304431.047 * * [misc]simplify: iters left: 2 (9 enodes) 1545304431.049 * * [misc]simplify: iters left: 1 (11 enodes) 1545304431.052 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1545304431.052 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2))))) (sqrt k))) 1545304431.052 * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # 1545304431.053 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545304431.053 * * [misc]simplify: iters left: 3 (7 enodes) 1545304431.055 * * [misc]simplify: iters left: 2 (9 enodes) 1545304431.056 * * [misc]simplify: iters left: 1 (11 enodes) 1545304431.058 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545304431.058 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2))))) (sqrt k))) 1545304431.058 * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # 1545304431.058 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1545304431.058 * * [misc]simplify: iters left: 2 (6 enodes) 1545304431.059 * * [misc]simplify: iters left: 1 (8 enodes) 1545304431.060 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304431.060 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304431.060 * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # 1545304431.060 * [enter]simplify: Simplifying (pow PI (* -1/2 k)) 1545304431.060 * * [misc]simplify: iters left: 3 (5 enodes) 1545304431.061 * * [misc]simplify: iters left: 2 (6 enodes) 1545304431.062 * [exit]simplify: Simplified to (pow PI (* k -1/2)) 1545304431.062 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (* (pow PI 1/2) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304431.062 * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # 1545304431.062 * [enter]simplify: Simplifying (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1545304431.062 * * [misc]simplify: iters left: 5 (8 enodes) 1545304431.063 * * [misc]simplify: iters left: 4 (10 enodes) 1545304431.065 * * [misc]simplify: iters left: 3 (12 enodes) 1545304431.066 * * [misc]simplify: iters left: 2 (13 enodes) 1545304431.068 * [exit]simplify: Simplified to (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) 1545304431.068 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304431.068 * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # 1545304431.068 * [enter]simplify: Simplifying (sqrt (pow PI (fma -1/2 k 1/2))) 1545304431.068 * * [misc]simplify: iters left: 3 (7 enodes) 1545304431.069 * * [misc]simplify: iters left: 2 (9 enodes) 1545304431.070 * * [misc]simplify: iters left: 1 (11 enodes) 1545304431.072 * [exit]simplify: Simplified to (sqrt (pow PI (fma k -1/2 1/2))) 1545304431.072 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow PI (fma k -1/2 1/2))) (* (sqrt (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1545304431.072 * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # 1545304431.072 * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # 1545304431.072 * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # 1545304431.072 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304431.072 * * [misc]simplify: iters left: 6 (18 enodes) 1545304431.075 * * [misc]simplify: iters left: 5 (39 enodes) 1545304431.083 * * [misc]simplify: iters left: 4 (119 enodes) 1545304431.146 * * [misc]simplify: iters left: 3 (334 enodes) 1545304431.335 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545304431.335 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))))) (sqrt k))) 1545304431.335 * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # 1545304431.335 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304431.336 * * [misc]simplify: iters left: 6 (12 enodes) 1545304431.341 * * [misc]simplify: iters left: 5 (28 enodes) 1545304431.350 * * [misc]simplify: iters left: 4 (67 enodes) 1545304431.364 * * [misc]simplify: iters left: 3 (180 enodes) 1545304431.515 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304431.517 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304431.517 * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # 1545304431.517 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304431.517 * * [misc]simplify: iters left: 6 (12 enodes) 1545304431.522 * * [misc]simplify: iters left: 5 (22 enodes) 1545304431.531 * * [misc]simplify: iters left: 4 (52 enodes) 1545304431.561 * * [misc]simplify: iters left: 3 (149 enodes) 1545304431.648 * * [misc]simplify: iters left: 2 (453 enodes) 1545304432.462 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545304432.462 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2)))) (sqrt k))) 1545304432.462 * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # 1545304432.462 * [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)))) 1545304432.462 * * [misc]simplify: iters left: 6 (18 enodes) 1545304432.466 * * [misc]simplify: iters left: 5 (39 enodes) 1545304432.473 * * [misc]simplify: iters left: 4 (110 enodes) 1545304432.500 * * [misc]simplify: iters left: 3 (321 enodes) 1545304432.717 * [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))) 1545304432.718 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304432.718 * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # 1545304432.718 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1545304432.718 * * [misc]simplify: iters left: 2 (6 enodes) 1545304432.719 * * [misc]simplify: iters left: 1 (8 enodes) 1545304432.720 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545304432.720 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304432.720 * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # 1545304432.720 * [enter]simplify: Simplifying (exp (* (log PI) (fma -1/2 k 1/2))) 1545304432.720 * * [misc]simplify: iters left: 4 (8 enodes) 1545304432.722 * * [misc]simplify: iters left: 3 (14 enodes) 1545304432.724 * * [misc]simplify: iters left: 2 (22 enodes) 1545304432.727 * * [misc]simplify: iters left: 1 (41 enodes) 1545304432.737 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1545304432.737 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1545304432.737 * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # 1545304432.738 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log 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) (* (pow n 2) (pow PI 2))))))))))))) 1545304432.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545304432.738 * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # 1545304432.738 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545304432.738 * * [misc]simplify: iters left: 6 (20 enodes) 1545304432.745 * * [misc]simplify: iters left: 5 (44 enodes) 1545304432.754 * * [misc]simplify: iters left: 4 (97 enodes) 1545304432.773 * * [misc]simplify: iters left: 3 (262 enodes) 1545304432.983 * [exit]simplify: Simplified to (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) 1545304432.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (sqrt k))) 1545304432.983 * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # 1545304432.983 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545304432.983 * * [misc]simplify: iters left: 6 (20 enodes) 1545304432.987 * * [misc]simplify: iters left: 5 (38 enodes) 1545304432.994 * * [misc]simplify: iters left: 4 (82 enodes) 1545304433.018 * * [misc]simplify: iters left: 3 (219 enodes) 1545304433.143 * [exit]simplify: Simplified to (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) 1545304433.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (sqrt k))) 1545304433.144 * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # 1545304433.144 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1545304433.144 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) +nan.0) (sqrt k))) 1545304433.144 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # 1545304433.144 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545304433.144 * * [misc]simplify: iters left: 6 (15 enodes) 1545304433.151 * * [misc]simplify: iters left: 5 (32 enodes) 1545304433.164 * * [misc]simplify: iters left: 4 (71 enodes) 1545304433.192 * * [misc]simplify: iters left: 3 (188 enodes) 1545304433.357 * * [misc]simplify: iters left: 2 (457 enodes) 1545304433.781 * [exit]simplify: Simplified to (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1545304433.781 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (sqrt k))) 1545304433.781 * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # 1545304433.781 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545304433.781 * * [misc]simplify: iters left: 6 (15 enodes) 1545304433.787 * * [misc]simplify: iters left: 5 (26 enodes) 1545304433.797 * * [misc]simplify: iters left: 4 (56 enodes) 1545304433.823 * * [misc]simplify: iters left: 3 (153 enodes) 1545304433.896 * * [misc]simplify: iters left: 2 (465 enodes) 1545304434.741 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 1545304434.741 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (sqrt k))) 1545304434.741 * * * [misc]progress: adding candidates to table 1545304436.218 * * [misc]progress: iteration 4 / 4 1545304436.218 * * * [misc]progress: picking best candidate 1545304436.251 * * * * [misc]pick: Picked # 1545304436.251 * * * [misc]progress: localizing error 1545304436.256 * * * [misc]progress: generating rewritten candidates 1545304436.256 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545304436.257 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545304436.258 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545304436.268 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545304436.273 * * * [misc]progress: generating series expansions 1545304436.273 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545304436.273 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1545304436.273 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1545304436.273 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304436.273 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304436.273 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304436.273 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.273 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.273 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.273 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.273 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.273 * [misc]taylor: Taking taylor expansion of k in k 1545304436.273 * [misc]backup-simplify: Simplify 0 into 0 1545304436.273 * [misc]backup-simplify: Simplify 1 into 1 1545304436.273 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.273 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.273 * [misc]taylor: Taking taylor expansion of n in k 1545304436.273 * [misc]backup-simplify: Simplify n into n 1545304436.273 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.274 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.274 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.274 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.274 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.274 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304436.274 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304436.274 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304436.274 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.274 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.274 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.274 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.274 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.274 * [misc]taylor: Taking taylor expansion of k in n 1545304436.274 * [misc]backup-simplify: Simplify k into k 1545304436.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.274 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.274 * [misc]taylor: Taking taylor expansion of n in n 1545304436.274 * [misc]backup-simplify: Simplify 0 into 0 1545304436.274 * [misc]backup-simplify: Simplify 1 into 1 1545304436.274 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.274 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.274 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.274 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.274 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304436.275 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304436.275 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304436.275 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304436.275 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304436.275 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.275 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.275 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.275 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.275 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.275 * [misc]taylor: Taking taylor expansion of k in n 1545304436.275 * [misc]backup-simplify: Simplify k into k 1545304436.275 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.275 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.275 * [misc]taylor: Taking taylor expansion of n in n 1545304436.275 * [misc]backup-simplify: Simplify 0 into 0 1545304436.275 * [misc]backup-simplify: Simplify 1 into 1 1545304436.275 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.275 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.275 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.275 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.275 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304436.275 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304436.275 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545304436.275 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545304436.275 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545304436.275 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304436.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.276 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304436.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.276 * [misc]taylor: Taking taylor expansion of k in k 1545304436.276 * [misc]backup-simplify: Simplify 0 into 0 1545304436.276 * [misc]backup-simplify: Simplify 1 into 1 1545304436.276 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.276 * [misc]taylor: Taking taylor expansion of n in k 1545304436.276 * [misc]backup-simplify: Simplify n into n 1545304436.276 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.276 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304436.276 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.276 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.276 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.276 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.276 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545304436.278 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.278 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545304436.278 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.278 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.278 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545304436.279 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.279 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.279 * [misc]backup-simplify: Simplify 0 into 0 1545304436.279 * [misc]backup-simplify: Simplify 0 into 0 1545304436.279 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304436.280 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304436.280 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304436.280 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304436.280 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304436.280 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304436.280 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545304436.282 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304436.283 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304436.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.283 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.283 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545304436.285 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.285 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.285 * [misc]backup-simplify: Simplify 0 into 0 1545304436.285 * [misc]backup-simplify: Simplify 0 into 0 1545304436.285 * [misc]backup-simplify: Simplify 0 into 0 1545304436.286 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304436.286 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304436.286 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.286 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.286 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304436.287 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304436.287 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304436.287 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304436.287 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304436.287 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1545304436.287 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.287 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304436.287 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304436.287 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.287 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.287 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.287 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.287 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.287 * [misc]taylor: Taking taylor expansion of k in k 1545304436.288 * [misc]backup-simplify: Simplify 0 into 0 1545304436.288 * [misc]backup-simplify: Simplify 1 into 1 1545304436.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.288 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.288 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304436.288 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304436.288 * [misc]taylor: Taking taylor expansion of n in k 1545304436.288 * [misc]backup-simplify: Simplify n into n 1545304436.288 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304436.288 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304436.288 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.288 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.288 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304436.288 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304436.288 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.288 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.288 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.288 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.288 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of k in n 1545304436.288 * [misc]backup-simplify: Simplify k into k 1545304436.288 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.288 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.288 * [misc]taylor: Taking taylor expansion of n in n 1545304436.289 * [misc]backup-simplify: Simplify 0 into 0 1545304436.289 * [misc]backup-simplify: Simplify 1 into 1 1545304436.289 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.289 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.289 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.289 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.289 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.289 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.289 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.289 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.289 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.289 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.289 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of k in n 1545304436.289 * [misc]backup-simplify: Simplify k into k 1545304436.289 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.289 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.289 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.289 * [misc]taylor: Taking taylor expansion of n in n 1545304436.289 * [misc]backup-simplify: Simplify 0 into 0 1545304436.290 * [misc]backup-simplify: Simplify 1 into 1 1545304436.290 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.290 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.290 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.290 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.290 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.290 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.290 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.290 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.290 * [misc]backup-simplify: Simplify -1 into -1 1545304436.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.290 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.290 * [misc]taylor: Taking taylor expansion of k in k 1545304436.290 * [misc]backup-simplify: Simplify 0 into 0 1545304436.290 * [misc]backup-simplify: Simplify 1 into 1 1545304436.291 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.291 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.291 * [misc]taylor: Taking taylor expansion of n in k 1545304436.291 * [misc]backup-simplify: Simplify n into n 1545304436.291 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.291 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304436.291 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304436.291 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304436.291 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545304436.291 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545304436.291 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.291 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.291 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304436.293 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.293 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.293 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304436.293 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.294 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304436.294 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.294 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.294 * [misc]backup-simplify: Simplify 0 into 0 1545304436.294 * [misc]backup-simplify: Simplify 0 into 0 1545304436.294 * [misc]backup-simplify: Simplify 0 into 0 1545304436.295 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.297 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304436.297 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.297 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304436.298 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.298 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304436.299 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.299 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.299 * [misc]backup-simplify: Simplify 0 into 0 1545304436.299 * [misc]backup-simplify: Simplify 0 into 0 1545304436.299 * [misc]backup-simplify: Simplify 0 into 0 1545304436.299 * [misc]backup-simplify: Simplify 0 into 0 1545304436.299 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.303 * [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 1545304436.303 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.304 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304436.304 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.304 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.304 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545304436.308 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304436.308 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.308 * [misc]backup-simplify: Simplify 0 into 0 1545304436.309 * [misc]backup-simplify: Simplify 0 into 0 1545304436.309 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304436.309 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1545304436.309 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1545304436.309 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.309 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.309 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.309 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.309 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.309 * [misc]backup-simplify: Simplify -1 into -1 1545304436.309 * [misc]taylor: Taking taylor expansion of k in k 1545304436.309 * [misc]backup-simplify: Simplify 0 into 0 1545304436.309 * [misc]backup-simplify: Simplify 1 into 1 1545304436.309 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.309 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304436.309 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.309 * [misc]backup-simplify: Simplify -1 into -1 1545304436.309 * [misc]taylor: Taking taylor expansion of n in k 1545304436.309 * [misc]backup-simplify: Simplify n into n 1545304436.309 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304436.309 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304436.309 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.310 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.310 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304436.310 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304436.310 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.310 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.310 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.310 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.310 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.310 * [misc]backup-simplify: Simplify -1 into -1 1545304436.310 * [misc]taylor: Taking taylor expansion of k in n 1545304436.310 * [misc]backup-simplify: Simplify k into k 1545304436.310 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.310 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.310 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.310 * [misc]backup-simplify: Simplify -1 into -1 1545304436.310 * [misc]taylor: Taking taylor expansion of n in n 1545304436.310 * [misc]backup-simplify: Simplify 0 into 0 1545304436.310 * [misc]backup-simplify: Simplify 1 into 1 1545304436.310 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.310 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.310 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.310 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.311 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.311 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.311 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.311 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.311 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.311 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.311 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.311 * [misc]backup-simplify: Simplify -1 into -1 1545304436.311 * [misc]taylor: Taking taylor expansion of k in n 1545304436.311 * [misc]backup-simplify: Simplify k into k 1545304436.311 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.311 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.311 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.311 * [misc]backup-simplify: Simplify -1 into -1 1545304436.311 * [misc]taylor: Taking taylor expansion of n in n 1545304436.311 * [misc]backup-simplify: Simplify 0 into 0 1545304436.311 * [misc]backup-simplify: Simplify 1 into 1 1545304436.312 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.312 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.312 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.312 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.312 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.312 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.312 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.312 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545304436.312 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.313 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of k in k 1545304436.313 * [misc]backup-simplify: Simplify 0 into 0 1545304436.313 * [misc]backup-simplify: Simplify 1 into 1 1545304436.313 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.313 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.313 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.313 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.313 * [misc]backup-simplify: Simplify -1 into -1 1545304436.313 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.313 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.313 * [misc]taylor: Taking taylor expansion of n in k 1545304436.313 * [misc]backup-simplify: Simplify n into n 1545304436.313 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.313 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304436.313 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.313 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304436.313 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545304436.314 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545304436.314 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.314 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.314 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304436.316 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304436.316 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.316 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304436.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.316 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.316 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545304436.317 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.317 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.317 * [misc]backup-simplify: Simplify 0 into 0 1545304436.317 * [misc]backup-simplify: Simplify 0 into 0 1545304436.317 * [misc]backup-simplify: Simplify 0 into 0 1545304436.317 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.320 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304436.320 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.320 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304436.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.321 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.321 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545304436.322 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.322 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.322 * [misc]backup-simplify: Simplify 0 into 0 1545304436.322 * [misc]backup-simplify: Simplify 0 into 0 1545304436.322 * [misc]backup-simplify: Simplify 0 into 0 1545304436.322 * [misc]backup-simplify: Simplify 0 into 0 1545304436.322 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.326 * [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 1545304436.326 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.327 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1545304436.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.327 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.327 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545304436.329 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304436.329 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.329 * [misc]backup-simplify: Simplify 0 into 0 1545304436.329 * [misc]backup-simplify: Simplify 0 into 0 1545304436.330 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304436.330 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545304436.330 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304436.330 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1545304436.330 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.330 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.330 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.330 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.330 * [misc]taylor: Taking taylor expansion of k in k 1545304436.330 * [misc]backup-simplify: Simplify 0 into 0 1545304436.330 * [misc]backup-simplify: Simplify 1 into 1 1545304436.330 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.330 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.330 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.330 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.330 * [misc]backup-simplify: Simplify 2 into 2 1545304436.330 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.330 * [misc]backup-simplify: Simplify PI into PI 1545304436.331 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.331 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.331 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.331 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.331 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.332 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304436.332 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.332 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.332 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.332 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.332 * [misc]taylor: Taking taylor expansion of k in k 1545304436.332 * [misc]backup-simplify: Simplify 0 into 0 1545304436.332 * [misc]backup-simplify: Simplify 1 into 1 1545304436.332 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.332 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.332 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.332 * [misc]backup-simplify: Simplify 2 into 2 1545304436.332 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.332 * [misc]backup-simplify: Simplify PI into PI 1545304436.333 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.333 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.333 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.333 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.334 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.334 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304436.335 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1545304436.335 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304436.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304436.337 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304436.337 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.338 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545304436.340 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545304436.341 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1545304436.342 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304436.345 * [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 1545304436.345 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304436.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545304436.352 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545304436.354 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1545304436.359 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545304436.359 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.359 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1545304436.359 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.359 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304436.359 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304436.359 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.359 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.359 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.360 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.360 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.360 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.360 * [misc]taylor: Taking taylor expansion of k in k 1545304436.360 * [misc]backup-simplify: Simplify 0 into 0 1545304436.360 * [misc]backup-simplify: Simplify 1 into 1 1545304436.360 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.360 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.360 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.360 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.360 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.360 * [misc]backup-simplify: Simplify 2 into 2 1545304436.360 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.360 * [misc]backup-simplify: Simplify PI into PI 1545304436.360 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.360 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.360 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.361 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.361 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304436.361 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.361 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.361 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304436.361 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304436.361 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.361 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.361 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.361 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.361 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.362 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.362 * [misc]taylor: Taking taylor expansion of k in k 1545304436.362 * [misc]backup-simplify: Simplify 0 into 0 1545304436.362 * [misc]backup-simplify: Simplify 1 into 1 1545304436.362 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.362 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.362 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.362 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.362 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.362 * [misc]backup-simplify: Simplify 2 into 2 1545304436.362 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.362 * [misc]backup-simplify: Simplify PI into PI 1545304436.362 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.362 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.362 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.362 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.363 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304436.363 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.364 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304436.364 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.364 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1545304436.364 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.364 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304436.364 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304436.364 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.364 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.364 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.364 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.364 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.364 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.364 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.364 * [misc]backup-simplify: Simplify -1 into -1 1545304436.364 * [misc]taylor: Taking taylor expansion of k in k 1545304436.364 * [misc]backup-simplify: Simplify 0 into 0 1545304436.364 * [misc]backup-simplify: Simplify 1 into 1 1545304436.365 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.365 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.365 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.365 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.365 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.365 * [misc]backup-simplify: Simplify 2 into 2 1545304436.365 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.365 * [misc]backup-simplify: Simplify PI into PI 1545304436.365 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.365 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.365 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.365 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.366 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.366 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.366 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.366 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304436.366 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304436.366 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.366 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.366 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.366 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.366 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.366 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.366 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.366 * [misc]backup-simplify: Simplify -1 into -1 1545304436.366 * [misc]taylor: Taking taylor expansion of k in k 1545304436.366 * [misc]backup-simplify: Simplify 0 into 0 1545304436.366 * [misc]backup-simplify: Simplify 1 into 1 1545304436.367 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.367 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.367 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.367 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.367 * [misc]backup-simplify: Simplify 2 into 2 1545304436.367 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.367 * [misc]backup-simplify: Simplify PI into PI 1545304436.367 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.367 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.367 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.367 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.368 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.368 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.368 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.368 * [misc]backup-simplify: Simplify 0 into 0 1545304436.368 * [misc]backup-simplify: Simplify 0 into 0 1545304436.369 * [misc]backup-simplify: Simplify 0 into 0 1545304436.369 * [misc]backup-simplify: Simplify 0 into 0 1545304436.369 * [misc]backup-simplify: Simplify 0 into 0 1545304436.369 * [misc]backup-simplify: Simplify 0 into 0 1545304436.369 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304436.369 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545304436.369 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304436.369 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1545304436.369 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1545304436.369 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304436.369 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.369 * [misc]taylor: Taking taylor expansion of k in n 1545304436.369 * [misc]backup-simplify: Simplify k into k 1545304436.369 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.370 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304436.370 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304436.370 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.370 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.370 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.370 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.370 * [misc]taylor: Taking taylor expansion of k in n 1545304436.370 * [misc]backup-simplify: Simplify k into k 1545304436.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.370 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.370 * [misc]taylor: Taking taylor expansion of n in n 1545304436.370 * [misc]backup-simplify: Simplify 0 into 0 1545304436.370 * [misc]backup-simplify: Simplify 1 into 1 1545304436.370 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.370 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.370 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.370 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.370 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304436.371 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304436.371 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.371 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.371 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.371 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.371 * [misc]taylor: Taking taylor expansion of k in n 1545304436.371 * [misc]backup-simplify: Simplify k into k 1545304436.371 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.371 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.371 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.371 * [misc]backup-simplify: Simplify 2 into 2 1545304436.371 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.371 * [misc]backup-simplify: Simplify PI into PI 1545304436.371 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.371 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.371 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.371 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.372 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1545304436.372 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1545304436.372 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545304436.372 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304436.372 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.372 * [misc]taylor: Taking taylor expansion of k in k 1545304436.372 * [misc]backup-simplify: Simplify 0 into 0 1545304436.372 * [misc]backup-simplify: Simplify 1 into 1 1545304436.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.372 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.373 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.373 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.373 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.373 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.373 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.373 * [misc]taylor: Taking taylor expansion of k in k 1545304436.373 * [misc]backup-simplify: Simplify 0 into 0 1545304436.373 * [misc]backup-simplify: Simplify 1 into 1 1545304436.373 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.373 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of n in k 1545304436.373 * [misc]backup-simplify: Simplify n into n 1545304436.373 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.373 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.373 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.373 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.373 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.373 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304436.373 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.373 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.374 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.374 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.374 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.374 * [misc]taylor: Taking taylor expansion of k in k 1545304436.374 * [misc]backup-simplify: Simplify 0 into 0 1545304436.374 * [misc]backup-simplify: Simplify 1 into 1 1545304436.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.374 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.374 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.374 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.374 * [misc]backup-simplify: Simplify 2 into 2 1545304436.374 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.374 * [misc]backup-simplify: Simplify PI into PI 1545304436.374 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.374 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.374 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.374 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.375 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.375 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304436.375 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1545304436.375 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304436.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.375 * [misc]taylor: Taking taylor expansion of k in k 1545304436.376 * [misc]backup-simplify: Simplify 0 into 0 1545304436.376 * [misc]backup-simplify: Simplify 1 into 1 1545304436.376 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.376 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.376 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.376 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.376 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.376 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.376 * [misc]taylor: Taking taylor expansion of k in k 1545304436.376 * [misc]backup-simplify: Simplify 0 into 0 1545304436.376 * [misc]backup-simplify: Simplify 1 into 1 1545304436.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.376 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.376 * [misc]taylor: Taking taylor expansion of n in k 1545304436.376 * [misc]backup-simplify: Simplify n into n 1545304436.376 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.376 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.377 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.377 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.377 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.377 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.377 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.377 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.377 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.377 * [misc]taylor: Taking taylor expansion of k in k 1545304436.377 * [misc]backup-simplify: Simplify 0 into 0 1545304436.377 * [misc]backup-simplify: Simplify 1 into 1 1545304436.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.377 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.377 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.377 * [misc]backup-simplify: Simplify 2 into 2 1545304436.377 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.377 * [misc]backup-simplify: Simplify PI into PI 1545304436.377 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.377 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.378 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.378 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.378 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.379 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1545304436.379 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1545304436.379 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1545304436.379 * [misc]taylor: Taking taylor expansion of 0 in n 1545304436.379 * [misc]backup-simplify: Simplify 0 into 0 1545304436.379 * [misc]backup-simplify: Simplify 0 into 0 1545304436.380 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304436.381 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304436.381 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304436.381 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1545304436.385 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1545304436.385 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304436.385 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1545304436.386 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304436.386 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304436.387 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1545304436.388 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545304436.388 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545304436.388 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304436.388 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.388 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.388 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304436.388 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.388 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.388 * [misc]backup-simplify: Simplify 2 into 2 1545304436.388 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.389 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.389 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.389 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.389 * [misc]taylor: Taking taylor expansion of n in n 1545304436.389 * [misc]backup-simplify: Simplify 0 into 0 1545304436.389 * [misc]backup-simplify: Simplify 1 into 1 1545304436.389 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.389 * [misc]backup-simplify: Simplify PI into PI 1545304436.389 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.389 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.390 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.390 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304436.390 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.390 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.390 * [misc]backup-simplify: Simplify 0 into 0 1545304436.390 * [misc]backup-simplify: Simplify 0 into 0 1545304436.391 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545304436.394 * [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 1545304436.394 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304436.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.396 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1545304436.401 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1545304436.402 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304436.403 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304436.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304436.404 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304436.409 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1545304436.409 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304436.410 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.415 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545304436.415 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.415 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.415 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.415 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.415 * [misc]backup-simplify: Simplify 2 into 2 1545304436.415 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.416 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.416 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.416 * [misc]taylor: Taking taylor expansion of n in n 1545304436.416 * [misc]backup-simplify: Simplify 0 into 0 1545304436.416 * [misc]backup-simplify: Simplify 1 into 1 1545304436.416 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.416 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.416 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.416 * [misc]taylor: Taking taylor expansion of n in n 1545304436.416 * [misc]backup-simplify: Simplify 0 into 0 1545304436.416 * [misc]backup-simplify: Simplify 1 into 1 1545304436.416 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.416 * [misc]backup-simplify: Simplify PI into PI 1545304436.416 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.417 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.417 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.418 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.418 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.418 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.418 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.418 * [misc]backup-simplify: Simplify 2 into 2 1545304436.418 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.418 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.418 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.418 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.418 * [misc]backup-simplify: Simplify 2 into 2 1545304436.418 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.418 * [misc]backup-simplify: Simplify PI into PI 1545304436.419 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.419 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.419 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.419 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.419 * [misc]taylor: Taking taylor expansion of n in n 1545304436.419 * [misc]backup-simplify: Simplify 0 into 0 1545304436.419 * [misc]backup-simplify: Simplify 1 into 1 1545304436.419 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.419 * [misc]backup-simplify: Simplify PI into PI 1545304436.420 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.420 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.420 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.421 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.421 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.421 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.421 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.421 * [misc]backup-simplify: Simplify 2 into 2 1545304436.421 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.421 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.421 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.421 * [misc]taylor: Taking taylor expansion of n in n 1545304436.422 * [misc]backup-simplify: Simplify 0 into 0 1545304436.422 * [misc]backup-simplify: Simplify 1 into 1 1545304436.422 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.422 * [misc]backup-simplify: Simplify PI into PI 1545304436.422 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.423 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.423 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.423 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.424 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304436.424 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304436.424 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.425 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545304436.426 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545304436.426 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.428 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.429 * [misc]backup-simplify: Simplify 0 into 0 1545304436.430 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.431 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.433 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.433 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.434 * [misc]backup-simplify: Simplify 0 into 0 1545304436.435 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545304436.440 * [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 1545304436.440 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304436.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1545304436.446 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1545304436.448 * [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 1545304436.448 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304436.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545304436.449 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545304436.453 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1545304436.454 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.454 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.460 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1545304436.460 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.461 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.461 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.461 * [misc]backup-simplify: Simplify 2 into 2 1545304436.461 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.461 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.461 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of n in n 1545304436.461 * [misc]backup-simplify: Simplify 0 into 0 1545304436.461 * [misc]backup-simplify: Simplify 1 into 1 1545304436.461 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.461 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.461 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.461 * [misc]taylor: Taking taylor expansion of n in n 1545304436.461 * [misc]backup-simplify: Simplify 0 into 0 1545304436.461 * [misc]backup-simplify: Simplify 1 into 1 1545304436.461 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.461 * [misc]backup-simplify: Simplify PI into PI 1545304436.462 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.462 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.462 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.462 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.462 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.462 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.462 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.462 * [misc]backup-simplify: Simplify 2 into 2 1545304436.463 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.463 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.463 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1545304436.463 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.463 * [misc]taylor: Taking taylor expansion of n in n 1545304436.463 * [misc]backup-simplify: Simplify 0 into 0 1545304436.463 * [misc]backup-simplify: Simplify 1 into 1 1545304436.463 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.463 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.463 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.463 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.463 * [misc]backup-simplify: Simplify 2 into 2 1545304436.463 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.463 * [misc]backup-simplify: Simplify PI into PI 1545304436.463 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.464 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.464 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.464 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.464 * [misc]taylor: Taking taylor expansion of n in n 1545304436.464 * [misc]backup-simplify: Simplify 0 into 0 1545304436.464 * [misc]backup-simplify: Simplify 1 into 1 1545304436.464 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.464 * [misc]backup-simplify: Simplify PI into PI 1545304436.464 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.465 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.465 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.465 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.465 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.465 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.465 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.465 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.465 * [misc]backup-simplify: Simplify 2 into 2 1545304436.466 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.466 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.466 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.466 * [misc]taylor: Taking taylor expansion of n in n 1545304436.466 * [misc]backup-simplify: Simplify 0 into 0 1545304436.466 * [misc]backup-simplify: Simplify 1 into 1 1545304436.466 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.466 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.466 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.466 * [misc]taylor: Taking taylor expansion of n in n 1545304436.466 * [misc]backup-simplify: Simplify 0 into 0 1545304436.466 * [misc]backup-simplify: Simplify 1 into 1 1545304436.466 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.466 * [misc]backup-simplify: Simplify PI into PI 1545304436.466 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.467 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.467 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.468 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.468 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.468 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.468 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.468 * [misc]backup-simplify: Simplify 2 into 2 1545304436.468 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.468 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.468 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.468 * [misc]taylor: Taking taylor expansion of n in n 1545304436.468 * [misc]backup-simplify: Simplify 0 into 0 1545304436.468 * [misc]backup-simplify: Simplify 1 into 1 1545304436.468 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.469 * [misc]backup-simplify: Simplify PI into PI 1545304436.469 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.469 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.470 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.470 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.470 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.470 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.470 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.470 * [misc]backup-simplify: Simplify 2 into 2 1545304436.470 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.471 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.471 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.471 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.471 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.471 * [misc]backup-simplify: Simplify 2 into 2 1545304436.471 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.471 * [misc]backup-simplify: Simplify PI into PI 1545304436.471 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.471 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.471 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.471 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.472 * [misc]taylor: Taking taylor expansion of n in n 1545304436.472 * [misc]backup-simplify: Simplify 0 into 0 1545304436.472 * [misc]backup-simplify: Simplify 1 into 1 1545304436.472 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.472 * [misc]backup-simplify: Simplify PI into PI 1545304436.472 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.472 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.473 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.473 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.473 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1545304436.473 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1545304436.473 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.473 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.473 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1545304436.473 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1545304436.473 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545304436.473 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.473 * [misc]backup-simplify: Simplify 2 into 2 1545304436.473 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545304436.474 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545304436.474 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1545304436.474 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.474 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.474 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.474 * [misc]backup-simplify: Simplify 2 into 2 1545304436.474 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.474 * [misc]backup-simplify: Simplify PI into PI 1545304436.474 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.475 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.475 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545304436.475 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545304436.475 * [misc]taylor: Taking taylor expansion of n in n 1545304436.475 * [misc]backup-simplify: Simplify 0 into 0 1545304436.475 * [misc]backup-simplify: Simplify 1 into 1 1545304436.475 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.475 * [misc]backup-simplify: Simplify PI into PI 1545304436.475 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545304436.476 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545304436.476 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.476 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545304436.476 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.477 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1545304436.477 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1545304436.477 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1545304436.477 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.478 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.478 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1545304436.479 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1545304436.479 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1545304436.480 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.480 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.480 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1545304436.480 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1545304436.480 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.481 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545304436.481 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.482 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1545304436.483 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1545304436.483 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.484 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1545304436.485 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1545304436.487 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1545304436.487 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545304436.487 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.487 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.487 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.487 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.488 * [misc]backup-simplify: Simplify 0 into 0 1545304436.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.491 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.491 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1545304436.492 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304436.493 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1545304436.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304436.496 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304436.496 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1545304436.498 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304436.499 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1545304436.500 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.501 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.502 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545304436.504 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545304436.506 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1545304436.508 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1545304436.510 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545304436.512 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545304436.513 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545304436.514 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545304436.514 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545304436.516 * [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)))) 1545304436.519 * [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)))) 1545304436.520 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545304436.520 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545304436.524 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545304436.525 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (/ (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k)))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1545304436.525 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1545304436.525 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.525 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.525 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.525 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of k in n 1545304436.525 * [misc]backup-simplify: Simplify k into k 1545304436.525 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.525 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.525 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.525 * [misc]backup-simplify: Simplify 2 into 2 1545304436.525 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.525 * [misc]backup-simplify: Simplify PI into PI 1545304436.525 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.526 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.526 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.526 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.526 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304436.526 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304436.527 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.527 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.527 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.527 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of k in n 1545304436.527 * [misc]backup-simplify: Simplify k into k 1545304436.527 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.527 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.527 * [misc]taylor: Taking taylor expansion of n in n 1545304436.527 * [misc]backup-simplify: Simplify 0 into 0 1545304436.527 * [misc]backup-simplify: Simplify 1 into 1 1545304436.527 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.527 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.527 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.527 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.527 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.528 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.528 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304436.528 * [misc]taylor: Taking taylor expansion of k in n 1545304436.528 * [misc]backup-simplify: Simplify k into k 1545304436.528 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304436.528 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304436.528 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.528 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.528 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.528 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.528 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of k in k 1545304436.528 * [misc]backup-simplify: Simplify 0 into 0 1545304436.528 * [misc]backup-simplify: Simplify 1 into 1 1545304436.528 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.528 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.528 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.528 * [misc]backup-simplify: Simplify 2 into 2 1545304436.528 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.528 * [misc]backup-simplify: Simplify PI into PI 1545304436.528 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.529 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.529 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.529 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.529 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304436.530 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.530 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.530 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.530 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.530 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of k in k 1545304436.530 * [misc]backup-simplify: Simplify 0 into 0 1545304436.530 * [misc]backup-simplify: Simplify 1 into 1 1545304436.530 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.530 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304436.530 * [misc]taylor: Taking taylor expansion of n in k 1545304436.530 * [misc]backup-simplify: Simplify n into n 1545304436.530 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304436.530 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304436.530 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.530 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.530 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304436.530 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304436.531 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of k in k 1545304436.531 * [misc]backup-simplify: Simplify 0 into 0 1545304436.531 * [misc]backup-simplify: Simplify 1 into 1 1545304436.531 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.531 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.531 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.531 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.531 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.531 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of k in k 1545304436.531 * [misc]backup-simplify: Simplify 0 into 0 1545304436.531 * [misc]backup-simplify: Simplify 1 into 1 1545304436.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.531 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.531 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.531 * [misc]backup-simplify: Simplify 2 into 2 1545304436.531 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.531 * [misc]backup-simplify: Simplify PI into PI 1545304436.532 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.532 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.532 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.532 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.533 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1545304436.533 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1545304436.533 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.533 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.533 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.533 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of k in k 1545304436.533 * [misc]backup-simplify: Simplify 0 into 0 1545304436.533 * [misc]backup-simplify: Simplify 1 into 1 1545304436.533 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.533 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304436.533 * [misc]taylor: Taking taylor expansion of n in k 1545304436.533 * [misc]backup-simplify: Simplify n into n 1545304436.533 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304436.533 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304436.534 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.534 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.534 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304436.534 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304436.534 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304436.534 * [misc]taylor: Taking taylor expansion of k in k 1545304436.534 * [misc]backup-simplify: Simplify 0 into 0 1545304436.534 * [misc]backup-simplify: Simplify 1 into 1 1545304436.534 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.534 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.535 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1545304436.535 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1545304436.535 * [misc]taylor: Taking taylor expansion of 0 in n 1545304436.535 * [misc]backup-simplify: Simplify 0 into 0 1545304436.535 * [misc]backup-simplify: Simplify 0 into 0 1545304436.535 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1545304436.536 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304436.537 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.537 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.537 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.537 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.537 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.537 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of k in n 1545304436.537 * [misc]backup-simplify: Simplify k into k 1545304436.537 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.537 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.537 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.537 * [misc]backup-simplify: Simplify 2 into 2 1545304436.537 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.537 * [misc]backup-simplify: Simplify PI into PI 1545304436.537 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.538 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.538 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.538 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304436.538 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304436.538 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.538 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.538 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.538 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.538 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.538 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.538 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.538 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.538 * [misc]taylor: Taking taylor expansion of k in n 1545304436.538 * [misc]backup-simplify: Simplify k into k 1545304436.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.539 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.539 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.539 * [misc]taylor: Taking taylor expansion of n in n 1545304436.539 * [misc]backup-simplify: Simplify 0 into 0 1545304436.539 * [misc]backup-simplify: Simplify 1 into 1 1545304436.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.539 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.539 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.539 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.539 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.539 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.539 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.540 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304436.540 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304436.540 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.541 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.541 * [misc]backup-simplify: Simplify 0 into 0 1545304436.541 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.542 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1545304436.542 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304436.542 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.542 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.542 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.542 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.542 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.542 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.542 * [misc]taylor: Taking taylor expansion of k in n 1545304436.543 * [misc]backup-simplify: Simplify k into k 1545304436.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.543 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.543 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.543 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.543 * [misc]backup-simplify: Simplify 2 into 2 1545304436.543 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.543 * [misc]backup-simplify: Simplify PI into PI 1545304436.543 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.543 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.543 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.544 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304436.544 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304436.544 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.544 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.544 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.544 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.544 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.544 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.544 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.544 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.544 * [misc]taylor: Taking taylor expansion of k in n 1545304436.545 * [misc]backup-simplify: Simplify k into k 1545304436.545 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.545 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.545 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.545 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.545 * [misc]taylor: Taking taylor expansion of n in n 1545304436.545 * [misc]backup-simplify: Simplify 0 into 0 1545304436.545 * [misc]backup-simplify: Simplify 1 into 1 1545304436.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.545 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.545 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.545 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.545 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.545 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.545 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.546 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304436.546 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304436.546 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.547 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.547 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304436.548 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.549 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304436.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.549 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.549 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304436.550 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304436.552 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304436.552 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.552 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304436.552 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.552 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1545304436.553 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.554 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545304436.554 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545304436.554 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.554 * [misc]backup-simplify: Simplify 0 into 0 1545304436.554 * [misc]backup-simplify: Simplify 0 into 0 1545304436.555 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.555 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1545304436.556 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1545304436.556 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.556 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.556 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.556 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.556 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.556 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of k in n 1545304436.556 * [misc]backup-simplify: Simplify k into k 1545304436.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.556 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.556 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.556 * [misc]backup-simplify: Simplify 2 into 2 1545304436.556 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.556 * [misc]backup-simplify: Simplify PI into PI 1545304436.556 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.557 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.557 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.557 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.557 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1545304436.558 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1545304436.558 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.558 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.558 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.558 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of k in n 1545304436.558 * [misc]backup-simplify: Simplify k into k 1545304436.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.558 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.558 * [misc]taylor: Taking taylor expansion of n in n 1545304436.558 * [misc]backup-simplify: Simplify 0 into 0 1545304436.558 * [misc]backup-simplify: Simplify 1 into 1 1545304436.558 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.558 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.558 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.558 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.559 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.559 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.559 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1545304436.559 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1545304436.560 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.560 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1545304436.561 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545304436.562 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (/ (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1545304436.562 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545304436.562 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.562 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.562 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.562 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.562 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.562 * [misc]backup-simplify: Simplify -1 into -1 1545304436.562 * [misc]taylor: Taking taylor expansion of k in n 1545304436.562 * [misc]backup-simplify: Simplify k into k 1545304436.562 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.562 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.562 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.563 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.563 * [misc]backup-simplify: Simplify -1 into -1 1545304436.563 * [misc]taylor: Taking taylor expansion of n in n 1545304436.563 * [misc]backup-simplify: Simplify 0 into 0 1545304436.563 * [misc]backup-simplify: Simplify 1 into 1 1545304436.563 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.563 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.563 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.563 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.563 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.564 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.564 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.564 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.564 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.564 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.564 * [misc]backup-simplify: Simplify -1 into -1 1545304436.564 * [misc]taylor: Taking taylor expansion of k in n 1545304436.564 * [misc]backup-simplify: Simplify k into k 1545304436.564 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.564 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.564 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.564 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.564 * [misc]backup-simplify: Simplify 2 into 2 1545304436.564 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.564 * [misc]backup-simplify: Simplify PI into PI 1545304436.564 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.565 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.565 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.565 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.565 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304436.565 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304436.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304436.565 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.566 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.566 * [misc]backup-simplify: Simplify -1 into -1 1545304436.566 * [misc]taylor: Taking taylor expansion of k in n 1545304436.566 * [misc]backup-simplify: Simplify k into k 1545304436.566 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.566 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304436.566 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.566 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304436.566 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.567 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1545304436.567 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.567 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.567 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.567 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.567 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.567 * [misc]backup-simplify: Simplify -1 into -1 1545304436.567 * [misc]taylor: Taking taylor expansion of k in k 1545304436.567 * [misc]backup-simplify: Simplify 0 into 0 1545304436.567 * [misc]backup-simplify: Simplify 1 into 1 1545304436.567 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.567 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.567 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304436.567 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.567 * [misc]backup-simplify: Simplify -1 into -1 1545304436.567 * [misc]taylor: Taking taylor expansion of n in k 1545304436.567 * [misc]backup-simplify: Simplify n into n 1545304436.567 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304436.567 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304436.567 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.568 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.568 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304436.568 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304436.568 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.568 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.568 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.568 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.568 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.568 * [misc]backup-simplify: Simplify -1 into -1 1545304436.568 * [misc]taylor: Taking taylor expansion of k in k 1545304436.568 * [misc]backup-simplify: Simplify 0 into 0 1545304436.568 * [misc]backup-simplify: Simplify 1 into 1 1545304436.568 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.568 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.568 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.568 * [misc]backup-simplify: Simplify 2 into 2 1545304436.568 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.568 * [misc]backup-simplify: Simplify PI into PI 1545304436.568 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.569 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.569 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.569 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.570 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304436.570 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.570 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.570 * [misc]backup-simplify: Simplify -1 into -1 1545304436.570 * [misc]taylor: Taking taylor expansion of k in k 1545304436.570 * [misc]backup-simplify: Simplify 0 into 0 1545304436.570 * [misc]backup-simplify: Simplify 1 into 1 1545304436.570 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.570 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304436.571 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304436.571 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545304436.571 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.571 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.571 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.571 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.571 * [misc]backup-simplify: Simplify -1 into -1 1545304436.571 * [misc]taylor: Taking taylor expansion of k in k 1545304436.571 * [misc]backup-simplify: Simplify 0 into 0 1545304436.571 * [misc]backup-simplify: Simplify 1 into 1 1545304436.571 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.571 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304436.571 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.571 * [misc]backup-simplify: Simplify -1 into -1 1545304436.571 * [misc]taylor: Taking taylor expansion of n in k 1545304436.571 * [misc]backup-simplify: Simplify n into n 1545304436.572 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304436.572 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304436.572 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.572 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.572 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304436.572 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304436.572 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.572 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.572 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.572 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.572 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.572 * [misc]backup-simplify: Simplify -1 into -1 1545304436.572 * [misc]taylor: Taking taylor expansion of k in k 1545304436.572 * [misc]backup-simplify: Simplify 0 into 0 1545304436.572 * [misc]backup-simplify: Simplify 1 into 1 1545304436.572 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.572 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.572 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545304436.572 * [misc]taylor: Taking taylor expansion of 2 in k 1545304436.572 * [misc]backup-simplify: Simplify 2 into 2 1545304436.572 * [misc]taylor: Taking taylor expansion of PI in k 1545304436.572 * [misc]backup-simplify: Simplify PI into PI 1545304436.573 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.573 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.573 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.573 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.574 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1545304436.574 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1545304436.574 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304436.574 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.574 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.574 * [misc]backup-simplify: Simplify -1 into -1 1545304436.574 * [misc]taylor: Taking taylor expansion of k in k 1545304436.574 * [misc]backup-simplify: Simplify 0 into 0 1545304436.574 * [misc]backup-simplify: Simplify 1 into 1 1545304436.574 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.574 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.575 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304436.575 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1545304436.575 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1545304436.575 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.575 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.575 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.575 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.575 * [misc]backup-simplify: Simplify -1 into -1 1545304436.575 * [misc]taylor: Taking taylor expansion of n in n 1545304436.575 * [misc]backup-simplify: Simplify 0 into 0 1545304436.576 * [misc]backup-simplify: Simplify 1 into 1 1545304436.576 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.576 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.576 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.576 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.576 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.576 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.576 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.576 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.576 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.576 * [misc]backup-simplify: Simplify -1 into -1 1545304436.576 * [misc]taylor: Taking taylor expansion of k in n 1545304436.576 * [misc]backup-simplify: Simplify k into k 1545304436.576 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.576 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.576 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.577 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.577 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.577 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.577 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.577 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.577 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.577 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.577 * [misc]backup-simplify: Simplify -1 into -1 1545304436.577 * [misc]taylor: Taking taylor expansion of k in n 1545304436.577 * [misc]backup-simplify: Simplify k into k 1545304436.577 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.577 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.577 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.577 * [misc]backup-simplify: Simplify 2 into 2 1545304436.577 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.577 * [misc]backup-simplify: Simplify PI into PI 1545304436.577 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.578 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.578 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.578 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.578 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304436.579 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304436.579 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.579 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.580 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.580 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1545304436.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304436.581 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.582 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545304436.582 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.582 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.582 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.582 * [misc]backup-simplify: Simplify -1 into -1 1545304436.582 * [misc]taylor: Taking taylor expansion of n in n 1545304436.582 * [misc]backup-simplify: Simplify 0 into 0 1545304436.582 * [misc]backup-simplify: Simplify 1 into 1 1545304436.582 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.582 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.582 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.582 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.582 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.582 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.582 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.582 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.582 * [misc]backup-simplify: Simplify -1 into -1 1545304436.582 * [misc]taylor: Taking taylor expansion of k in n 1545304436.582 * [misc]backup-simplify: Simplify k into k 1545304436.582 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.583 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.583 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.583 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.583 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.583 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.583 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304436.583 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304436.583 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.583 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.583 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.583 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.583 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.583 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.583 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.583 * [misc]backup-simplify: Simplify -1 into -1 1545304436.583 * [misc]taylor: Taking taylor expansion of k in n 1545304436.583 * [misc]backup-simplify: Simplify k into k 1545304436.584 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.584 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.584 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.584 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.584 * [misc]backup-simplify: Simplify 2 into 2 1545304436.584 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.584 * [misc]backup-simplify: Simplify PI into PI 1545304436.584 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.584 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.584 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.585 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.585 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304436.586 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304436.586 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.587 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.588 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304436.588 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304436.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545304436.591 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545304436.592 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.592 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304436.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.593 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1545304436.594 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.594 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.595 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.595 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304436.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.595 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304436.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304436.598 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545304436.599 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.600 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545304436.601 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1545304436.601 * [misc]backup-simplify: Simplify 0 into 0 1545304436.601 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1545304436.602 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.604 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1545304436.604 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1545304436.604 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1545304436.604 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545304436.604 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545304436.605 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.605 * [misc]backup-simplify: Simplify -1 into -1 1545304436.605 * [misc]taylor: Taking taylor expansion of n in n 1545304436.605 * [misc]backup-simplify: Simplify 0 into 0 1545304436.605 * [misc]backup-simplify: Simplify 1 into 1 1545304436.605 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.605 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.605 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.605 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.605 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.605 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.605 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.605 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.605 * [misc]backup-simplify: Simplify -1 into -1 1545304436.605 * [misc]taylor: Taking taylor expansion of k in n 1545304436.606 * [misc]backup-simplify: Simplify k into k 1545304436.606 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.606 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.606 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.606 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.607 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.607 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.607 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1545304436.607 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1545304436.607 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.607 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.607 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.607 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.607 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.607 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.607 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.607 * [misc]backup-simplify: Simplify -1 into -1 1545304436.607 * [misc]taylor: Taking taylor expansion of k in n 1545304436.607 * [misc]backup-simplify: Simplify k into k 1545304436.608 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.608 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1545304436.608 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1545304436.608 * [misc]taylor: Taking taylor expansion of 2 in n 1545304436.608 * [misc]backup-simplify: Simplify 2 into 2 1545304436.608 * [misc]taylor: Taking taylor expansion of PI in n 1545304436.608 * [misc]backup-simplify: Simplify PI into PI 1545304436.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545304436.608 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545304436.609 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.609 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.609 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1545304436.610 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1545304436.610 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.611 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.612 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304436.613 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545304436.615 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545304436.616 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545304436.616 * [misc]backup-simplify: Simplify (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) into (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) 1545304436.616 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in (n k) around 0 1545304436.616 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1545304436.616 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.616 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.616 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.616 * [misc]taylor: Taking taylor expansion of k in k 1545304436.616 * [misc]backup-simplify: Simplify 0 into 0 1545304436.616 * [misc]backup-simplify: Simplify 1 into 1 1545304436.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.616 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.616 * [misc]taylor: Taking taylor expansion of n in k 1545304436.616 * [misc]backup-simplify: Simplify n into n 1545304436.616 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.617 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1545304436.617 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545304436.617 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.617 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304436.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.617 * [misc]taylor: Taking taylor expansion of k in k 1545304436.617 * [misc]backup-simplify: Simplify 0 into 0 1545304436.617 * [misc]backup-simplify: Simplify 1 into 1 1545304436.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.618 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.618 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.618 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.618 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.618 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.618 * [misc]taylor: Taking taylor expansion of k in n 1545304436.618 * [misc]backup-simplify: Simplify k into k 1545304436.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.618 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.618 * [misc]taylor: Taking taylor expansion of n in n 1545304436.618 * [misc]backup-simplify: Simplify 0 into 0 1545304436.618 * [misc]backup-simplify: Simplify 1 into 1 1545304436.619 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.619 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.619 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.619 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.619 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304436.619 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304436.619 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304436.619 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.619 * [misc]taylor: Taking taylor expansion of k in n 1545304436.619 * [misc]backup-simplify: Simplify k into k 1545304436.619 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.620 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304436.620 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.620 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304436.620 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1545304436.620 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1545304436.620 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.620 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.620 * [misc]taylor: Taking taylor expansion of k in n 1545304436.620 * [misc]backup-simplify: Simplify k into k 1545304436.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.620 * [misc]taylor: Taking taylor expansion of (log n) in n 1545304436.620 * [misc]taylor: Taking taylor expansion of n in n 1545304436.620 * [misc]backup-simplify: Simplify 0 into 0 1545304436.620 * [misc]backup-simplify: Simplify 1 into 1 1545304436.620 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.621 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1545304436.621 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1545304436.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.621 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545304436.621 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545304436.621 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545304436.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.621 * [misc]taylor: Taking taylor expansion of k in n 1545304436.621 * [misc]backup-simplify: Simplify k into k 1545304436.621 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.621 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545304436.621 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.622 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545304436.622 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545304436.622 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.622 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.622 * [misc]taylor: Taking taylor expansion of k in k 1545304436.622 * [misc]backup-simplify: Simplify 0 into 0 1545304436.622 * [misc]backup-simplify: Simplify 1 into 1 1545304436.622 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.622 * [misc]taylor: Taking taylor expansion of n in k 1545304436.622 * [misc]backup-simplify: Simplify n into n 1545304436.622 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.622 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545304436.623 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.623 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.623 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545304436.623 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545304436.623 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545304436.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.623 * [misc]taylor: Taking taylor expansion of k in k 1545304436.623 * [misc]backup-simplify: Simplify 0 into 0 1545304436.623 * [misc]backup-simplify: Simplify 1 into 1 1545304436.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.623 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.624 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.624 * [misc]backup-simplify: Simplify (* (pow n 1/2) 0) into 0 1545304436.624 * [misc]backup-simplify: Simplify 0 into 0 1545304436.626 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.627 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1545304436.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.627 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.627 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545304436.628 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.628 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545304436.628 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.628 * [misc]backup-simplify: Simplify 0 into 0 1545304436.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545304436.629 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545304436.629 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304436.629 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304436.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545304436.630 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545304436.630 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (* (* -1/2 (* (sqrt n) (log n))) 0)) into (- (* +nan.0 (sqrt n))) 1545304436.630 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt n))) into (- (* +nan.0 (sqrt n))) 1545304436.630 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.631 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545304436.635 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304436.636 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545304436.636 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.636 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.636 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545304436.638 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.639 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545304436.639 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.639 * [misc]backup-simplify: Simplify 0 into 0 1545304436.639 * [misc]backup-simplify: Simplify 0 into 0 1545304436.639 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304436.640 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.642 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545304436.642 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545304436.642 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545304436.644 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545304436.644 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt n) (log n))) +nan.0) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) 1545304436.644 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) 1545304436.645 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545304436.652 * [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 1545304436.653 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545304436.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.653 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545304436.653 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545304436.657 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304436.657 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545304436.657 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.657 * [misc]backup-simplify: Simplify 0 into 0 1545304436.657 * [misc]backup-simplify: Simplify 0 into 0 1545304436.657 * [misc]backup-simplify: Simplify 0 into 0 1545304436.658 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.659 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.661 * [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 1545304436.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545304436.662 * [misc]backup-simplify: Simplify (- 0) into 0 1545304436.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.663 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545304436.664 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545304436.665 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt n) (log n))) +nan.0) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) +nan.0) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) 1545304436.665 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) 1545304436.667 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) (* k 1)) (- (* +nan.0 (sqrt n))))) into (- (+ (* +nan.0 (* (sqrt n) k)) (- (+ (* +nan.0 (* (sqrt n) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow k 2))) (- (+ (* +nan.0 (sqrt n)) (- (* +nan.0 (* (sqrt n) (* (log n) (pow k 2))))))))))))))) 1545304436.667 * [misc]backup-simplify: Simplify (/ (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k))) into (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) 1545304436.667 * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in (n k) around 0 1545304436.667 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in k 1545304436.667 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1545304436.667 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1545304436.667 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1545304436.667 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1545304436.668 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.668 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1545304436.668 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.668 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.668 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.668 * [misc]taylor: Taking taylor expansion of k in k 1545304436.668 * [misc]backup-simplify: Simplify 0 into 0 1545304436.668 * [misc]backup-simplify: Simplify 1 into 1 1545304436.668 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.668 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545304436.668 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545304436.668 * [misc]taylor: Taking taylor expansion of n in k 1545304436.668 * [misc]backup-simplify: Simplify n into n 1545304436.668 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545304436.668 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545304436.668 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1545304436.669 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1545304436.669 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545304436.669 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1545304436.669 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304436.669 * [misc]taylor: Taking taylor expansion of k in k 1545304436.669 * [misc]backup-simplify: Simplify 0 into 0 1545304436.669 * [misc]backup-simplify: Simplify 1 into 1 1545304436.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.670 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.670 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.670 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.670 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.670 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.670 * [misc]taylor: Taking taylor expansion of k in n 1545304436.670 * [misc]backup-simplify: Simplify k into k 1545304436.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.671 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.671 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.671 * [misc]taylor: Taking taylor expansion of n in n 1545304436.671 * [misc]backup-simplify: Simplify 0 into 0 1545304436.671 * [misc]backup-simplify: Simplify 1 into 1 1545304436.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.672 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.672 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.672 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.672 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.673 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.673 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of k in n 1545304436.673 * [misc]backup-simplify: Simplify k into k 1545304436.673 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304436.673 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304436.673 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1545304436.673 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1545304436.673 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.673 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of k in n 1545304436.673 * [misc]backup-simplify: Simplify k into k 1545304436.673 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545304436.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.673 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545304436.673 * [misc]taylor: Taking taylor expansion of n in n 1545304436.674 * [misc]backup-simplify: Simplify 0 into 0 1545304436.674 * [misc]backup-simplify: Simplify 1 into 1 1545304436.674 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.674 * [misc]backup-simplify: Simplify (log 1) into 0 1545304436.674 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1545304436.674 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1545304436.674 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.674 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545304436.675 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.675 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545304436.675 * [misc]taylor: Taking taylor expansion of k in n 1545304436.675 * [misc]backup-simplify: Simplify k into k 1545304436.675 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545304436.675 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545304436.675 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) 1545304436.675 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.675 * [misc]backup-simplify: Simplify -1 into -1 1545304436.675 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.675 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.675 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.675 * [misc]taylor: Taking taylor expansion of k in k 1545304436.676 * [misc]backup-simplify: Simplify 0 into 0 1545304436.676 * [misc]backup-simplify: Simplify 1 into 1 1545304436.676 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.676 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.676 * [misc]taylor: Taking taylor expansion of n in k 1545304436.676 * [misc]backup-simplify: Simplify n into n 1545304436.676 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.676 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304436.676 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545304436.676 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545304436.676 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545304436.676 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545304436.677 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545304436.677 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545304436.677 * [misc]taylor: Taking taylor expansion of k in k 1545304436.677 * [misc]backup-simplify: Simplify 0 into 0 1545304436.677 * [misc]backup-simplify: Simplify 1 into 1 1545304436.677 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.677 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545304436.678 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) into 0 1545304436.678 * [misc]backup-simplify: Simplify 0 into 0 1545304436.678 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545304436.680 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545304436.680 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545304436.680 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1545304436.681 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.681 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545304436.682 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.682 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (sqrt k))) into 0 1545304436.683 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.683 * [misc]backup-simplify: Simplify 0 into 0 1545304436.683 * [misc]backup-simplify: Simplify 0 into 0 1545304436.683 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.683 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.684 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545304436.684 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.688 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545304436.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.688 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545304436.688 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.689 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545304436.690 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.690 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545304436.690 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.690 * [misc]backup-simplify: Simplify 0 into 0 1545304436.690 * [misc]backup-simplify: Simplify 0 into 0 1545304436.690 * [misc]backup-simplify: Simplify 0 into 0 1545304436.691 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.691 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.691 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.692 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545304436.692 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.696 * [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 1545304436.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.697 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545304436.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545304436.697 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545304436.699 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545304436.699 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545304436.699 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.699 * [misc]backup-simplify: Simplify 0 into 0 1545304436.699 * [misc]backup-simplify: Simplify 0 into 0 1545304436.699 * [misc]backup-simplify: Simplify 0 into 0 1545304436.699 * [misc]backup-simplify: Simplify 0 into 0 1545304436.700 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.701 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.701 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1545304436.701 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 3)))))))) 1545304436.702 * [misc]backup-simplify: Simplify (/ (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) 1545304436.702 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545304436.702 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1545304436.702 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.702 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of -1/2 in k 1545304436.702 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.702 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.702 * [misc]backup-simplify: Simplify -1 into -1 1545304436.702 * [misc]taylor: Taking taylor expansion of k in k 1545304436.702 * [misc]backup-simplify: Simplify 0 into 0 1545304436.702 * [misc]backup-simplify: Simplify 1 into 1 1545304436.702 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.702 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545304436.702 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.702 * [misc]backup-simplify: Simplify -1 into -1 1545304436.702 * [misc]taylor: Taking taylor expansion of n in k 1545304436.702 * [misc]backup-simplify: Simplify n into n 1545304436.702 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545304436.702 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545304436.702 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1545304436.702 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.702 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545304436.703 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1545304436.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304436.703 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.703 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.703 * [misc]backup-simplify: Simplify -1 into -1 1545304436.703 * [misc]taylor: Taking taylor expansion of k in k 1545304436.703 * [misc]backup-simplify: Simplify 0 into 0 1545304436.703 * [misc]backup-simplify: Simplify 1 into 1 1545304436.703 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.703 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304436.703 * [misc]backup-simplify: Simplify (/ (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) 1545304436.703 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1545304436.703 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.703 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.704 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.704 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.704 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.704 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.704 * [misc]backup-simplify: Simplify -1 into -1 1545304436.704 * [misc]taylor: Taking taylor expansion of k in n 1545304436.704 * [misc]backup-simplify: Simplify k into k 1545304436.704 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.704 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.704 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.704 * [misc]backup-simplify: Simplify -1 into -1 1545304436.704 * [misc]taylor: Taking taylor expansion of n in n 1545304436.704 * [misc]backup-simplify: Simplify 0 into 0 1545304436.704 * [misc]backup-simplify: Simplify 1 into 1 1545304436.704 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.704 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.704 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.704 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.705 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.705 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.705 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.705 * [misc]backup-simplify: Simplify -1 into -1 1545304436.705 * [misc]taylor: Taking taylor expansion of k in n 1545304436.705 * [misc]backup-simplify: Simplify k into k 1545304436.705 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.705 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304436.705 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.705 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304436.705 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 1545304436.705 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1545304436.705 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1545304436.706 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1545304436.706 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1545304436.706 * [misc]taylor: Taking taylor expansion of -1/2 in n 1545304436.706 * [misc]backup-simplify: Simplify -1/2 into -1/2 1545304436.706 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.706 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.706 * [misc]backup-simplify: Simplify -1 into -1 1545304436.706 * [misc]taylor: Taking taylor expansion of k in n 1545304436.706 * [misc]backup-simplify: Simplify k into k 1545304436.706 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545304436.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.706 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545304436.706 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545304436.706 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.706 * [misc]backup-simplify: Simplify -1 into -1 1545304436.706 * [misc]taylor: Taking taylor expansion of n in n 1545304436.706 * [misc]backup-simplify: Simplify 0 into 0 1545304436.706 * [misc]backup-simplify: Simplify 1 into 1 1545304436.706 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.706 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.706 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1545304436.706 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545304436.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.707 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545304436.707 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.707 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545304436.707 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545304436.707 * [misc]taylor: Taking taylor expansion of -1 in n 1545304436.707 * [misc]backup-simplify: Simplify -1 into -1 1545304436.707 * [misc]taylor: Taking taylor expansion of k in n 1545304436.707 * [misc]backup-simplify: Simplify k into k 1545304436.707 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545304436.707 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545304436.707 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.707 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545304436.707 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 1545304436.707 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.707 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545304436.707 * [misc]taylor: Taking taylor expansion of k in k 1545304436.707 * [misc]backup-simplify: Simplify 0 into 0 1545304436.708 * [misc]backup-simplify: Simplify 1 into 1 1545304436.708 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545304436.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545304436.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545304436.708 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545304436.708 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545304436.708 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.708 * [misc]backup-simplify: Simplify -1 into -1 1545304436.708 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545304436.708 * [misc]taylor: Taking taylor expansion of (log n) in k 1545304436.708 * [misc]taylor: Taking taylor expansion of n in k 1545304436.708 * [misc]backup-simplify: Simplify n into n 1545304436.708 * [misc]backup-simplify: Simplify (log n) into (log n) 1545304436.708 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545304436.708 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545304436.708 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545304436.708 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545304436.708 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545304436.709 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545304436.709 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545304436.709 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545304436.709 * [misc]taylor: Taking taylor expansion of -1 in k 1545304436.709 * [misc]backup-simplify: Simplify -1 into -1 1545304436.709 * [misc]taylor: Taking taylor expansion of k in k 1545304436.709 * [misc]backup-simplify: Simplify 0 into 0 1545304436.709 * [misc]backup-simplify: Simplify 1 into 1 1545304436.709 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545304436.709 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545304436.709 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545304436.709 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.710 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545304436.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304436.711 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545304436.711 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545304436.711 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1545304436.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.712 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.712 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545304436.713 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545304436.713 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545304436.713 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.713 * [misc]backup-simplify: Simplify 0 into 0 1545304436.713 * [misc]backup-simplify: Simplify 0 into 0 1545304436.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545304436.714 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545304436.714 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.715 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.717 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545304436.717 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.718 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1545304436.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545304436.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545304436.718 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545304436.720 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545304436.720 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545304436.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545304436.721 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545304436.721 * [misc]taylor: Taking taylor expansion of 0 in k 1545304436.721 * [misc]backup-simplify: Simplify 0 into 0 1545304436.722 * [misc]backup-simplify: Simplify 0 into 0 1545304436.722 * [misc]backup-simplify: Simplify 0 into 0 1545304436.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545304436.723 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545304436.724 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.725 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545304436.726 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))))))))) 1545304436.727 * * * [misc]progress: simplifying candidates 1545304436.727 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1545304436.727 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1545304436.727 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1545304436.727 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1545304436.727 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304436.727 * * [misc]simplify: iters left: 2 (5 enodes) 1545304436.729 * * [misc]simplify: iters left: 1 (7 enodes) 1545304436.731 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304436.731 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k)))) 1545304436.731 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1545304436.731 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304436.731 * * [misc]simplify: iters left: 2 (5 enodes) 1545304436.733 * * [misc]simplify: iters left: 1 (7 enodes) 1545304436.735 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304436.735 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k)))) 1545304436.735 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1545304436.736 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304436.736 * * [misc]simplify: iters left: 1 (4 enodes) 1545304436.737 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304436.737 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n 1) (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.737 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1545304436.737 * [enter]simplify: Simplifying (pow n 1/2) 1545304436.737 * * [misc]simplify: iters left: 1 (3 enodes) 1545304436.738 * [exit]simplify: Simplified to (sqrt n) 1545304436.738 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (pow n (* -1/2 k)) (sqrt n)) (sqrt k)))) 1545304436.738 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1545304436.739 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1545304436.739 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545304436.740 * * [misc]simplify: iters left: 5 (9 enodes) 1545304436.743 * * [misc]simplify: iters left: 4 (16 enodes) 1545304436.749 * * [misc]simplify: iters left: 3 (31 enodes) 1545304436.762 * * [misc]simplify: iters left: 2 (72 enodes) 1545304436.786 * * [misc]simplify: iters left: 1 (184 enodes) 1545304436.852 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1545304436.852 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.852 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1545304436.852 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1545304436.852 * [enter]simplify: Simplifying (* 2 PI) 1545304436.852 * * [misc]simplify: iters left: 2 (3 enodes) 1545304436.853 * * [misc]simplify: iters left: 1 (4 enodes) 1545304436.853 * [exit]simplify: Simplified to (* 2 PI) 1545304436.853 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.853 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1545304436.853 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1545304436.853 * * [misc]simplify: iters left: 2 (5 enodes) 1545304436.854 * * [misc]simplify: iters left: 1 (7 enodes) 1545304436.855 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1545304436.855 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.855 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1545304436.855 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1545304436.855 * * [misc]simplify: iters left: 2 (5 enodes) 1545304436.856 * * [misc]simplify: iters left: 1 (7 enodes) 1545304436.857 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1545304436.857 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.857 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1545304436.857 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1545304436.857 * * [misc]simplify: iters left: 1 (4 enodes) 1545304436.858 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1545304436.858 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.858 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1545304436.858 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1545304436.858 * * [misc]simplify: iters left: 3 (5 enodes) 1545304436.859 * * [misc]simplify: iters left: 2 (7 enodes) 1545304436.860 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1545304436.860 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.860 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1545304436.860 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545304436.860 * * [misc]simplify: iters left: 2 (6 enodes) 1545304436.861 * * [misc]simplify: iters left: 1 (8 enodes) 1545304436.862 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545304436.862 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304436.862 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1545304436.862 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1545304436.862 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304436.862 * * [misc]simplify: iters left: 6 (16 enodes) 1545304436.865 * * [misc]simplify: iters left: 5 (31 enodes) 1545304436.872 * * [misc]simplify: iters left: 4 (65 enodes) 1545304436.897 * * [misc]simplify: iters left: 3 (211 enodes) 1545304437.019 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545304437.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545304437.019 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1545304437.019 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1545304437.019 * * [misc]simplify: iters left: 6 (16 enodes) 1545304437.022 * * [misc]simplify: iters left: 5 (31 enodes) 1545304437.027 * * [misc]simplify: iters left: 4 (60 enodes) 1545304437.051 * * [misc]simplify: iters left: 3 (180 enodes) 1545304437.189 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304437.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545304437.189 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1545304437.189 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304437.189 * * [misc]simplify: iters left: 6 (15 enodes) 1545304437.195 * * [misc]simplify: iters left: 5 (27 enodes) 1545304437.203 * * [misc]simplify: iters left: 4 (51 enodes) 1545304437.225 * * [misc]simplify: iters left: 3 (140 enodes) 1545304437.315 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545304437.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1545304437.316 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1545304437.316 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304437.316 * * [misc]simplify: iters left: 6 (16 enodes) 1545304437.319 * * [misc]simplify: iters left: 5 (31 enodes) 1545304437.330 * * [misc]simplify: iters left: 4 (65 enodes) 1545304437.359 * * [misc]simplify: iters left: 3 (211 enodes) 1545304437.472 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1545304437.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545304437.472 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1545304437.475 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1545304437.476 * * [misc]simplify: iters left: 6 (16 enodes) 1545304437.482 * * [misc]simplify: iters left: 5 (31 enodes) 1545304437.492 * * [misc]simplify: iters left: 4 (60 enodes) 1545304437.521 * * [misc]simplify: iters left: 3 (180 enodes) 1545304437.661 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304437.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1545304437.661 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1545304437.661 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304437.661 * * [misc]simplify: iters left: 6 (15 enodes) 1545304437.664 * * [misc]simplify: iters left: 5 (27 enodes) 1545304437.668 * * [misc]simplify: iters left: 4 (51 enodes) 1545304437.679 * * [misc]simplify: iters left: 3 (140 enodes) 1545304437.740 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1545304437.740 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1545304437.740 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1545304437.740 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1545304437.741 * * [misc]simplify: iters left: 6 (16 enodes) 1545304437.745 * * [misc]simplify: iters left: 5 (28 enodes) 1545304437.754 * * [misc]simplify: iters left: 4 (53 enodes) 1545304437.776 * * [misc]simplify: iters left: 3 (129 enodes) 1545304437.853 * * [misc]simplify: iters left: 2 (436 enodes) 1545304438.399 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1545304438.399 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1545304438.399 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1545304438.400 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1545304438.400 * * [misc]simplify: iters left: 6 (16 enodes) 1545304438.402 * * [misc]simplify: iters left: 5 (28 enodes) 1545304438.407 * * [misc]simplify: iters left: 4 (48 enodes) 1545304438.415 * * [misc]simplify: iters left: 3 (98 enodes) 1545304438.451 * * [misc]simplify: iters left: 2 (378 enodes) 1545304438.914 * [exit]simplify: Simplified to (fma (+ (log (* 2 PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1545304438.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log (* 2 PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1545304438.914 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1545304438.914 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304438.915 * * [misc]simplify: iters left: 6 (15 enodes) 1545304438.917 * * [misc]simplify: iters left: 5 (24 enodes) 1545304438.921 * * [misc]simplify: iters left: 4 (40 enodes) 1545304438.927 * * [misc]simplify: iters left: 3 (74 enodes) 1545304438.966 * * [misc]simplify: iters left: 2 (264 enodes) 1545304439.268 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1545304439.268 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1545304439.268 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1545304439.268 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1545304439.268 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1545304439.268 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1545304439.268 * * [misc]simplify: iters left: 6 (19 enodes) 1545304439.278 * * [misc]simplify: iters left: 5 (37 enodes) 1545304439.288 * * [misc]simplify: iters left: 4 (113 enodes) 1545304439.330 * * [misc]simplify: iters left: 3 (435 enodes) 1545304439.914 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* k (sqrt k)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1545304439.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* k (sqrt k)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1545304439.914 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1545304439.914 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304439.914 * * [misc]simplify: iters left: 6 (17 enodes) 1545304439.918 * * [misc]simplify: iters left: 5 (33 enodes) 1545304439.924 * * [misc]simplify: iters left: 4 (90 enodes) 1545304439.944 * * [misc]simplify: iters left: 3 (233 enodes) 1545304440.053 * [exit]simplify: Simplified to (* (/ (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ k (pow n (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1545304440.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ k (pow n (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1545304440.053 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1545304440.053 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1545304440.053 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1545304440.053 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1545304440.053 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1545304440.053 * [enter]simplify: Simplifying (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) 1545304440.053 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.054 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.056 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.058 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.059 * [exit]simplify: Simplified to (cbrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))) 1545304440.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) (cbrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1545304440.059 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1545304440.060 * [enter]simplify: Simplifying (sqrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) 1545304440.060 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.061 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.062 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.064 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.066 * [exit]simplify: Simplified to (sqrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))) 1545304440.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) (sqrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1545304440.066 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1545304440.066 * [enter]simplify: Simplifying (/ (pow n 1/2) (cbrt (sqrt k))) 1545304440.066 * * [misc]simplify: iters left: 4 (7 enodes) 1545304440.067 * * [misc]simplify: iters left: 3 (8 enodes) 1545304440.068 * [exit]simplify: Simplified to (/ (sqrt n) (cbrt (sqrt k))) 1545304440.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt n) (cbrt (sqrt k))))) 1545304440.068 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1545304440.068 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt (sqrt k))) 1545304440.068 * * [misc]simplify: iters left: 4 (7 enodes) 1545304440.069 * * [misc]simplify: iters left: 3 (8 enodes) 1545304440.070 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1545304440.070 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) (sqrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k))))) 1545304440.070 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1545304440.071 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt k)) 1545304440.071 * * [misc]simplify: iters left: 3 (6 enodes) 1545304440.071 * * [misc]simplify: iters left: 2 (7 enodes) 1545304440.072 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt k)) 1545304440.072 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) 1)) (/ (sqrt n) (sqrt k)))) 1545304440.072 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1545304440.073 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1545304440.073 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.074 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.075 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.077 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.079 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1545304440.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1545304440.080 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1545304440.080 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545304440.080 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.082 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.083 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.085 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.087 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545304440.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1545304440.087 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1545304440.087 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1545304440.087 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.089 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.090 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.092 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.093 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1545304440.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1)) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)))) 1545304440.094 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1545304440.094 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1545304440.094 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.095 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.097 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.098 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.100 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1545304440.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1545304440.100 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1545304440.100 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545304440.101 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.102 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.104 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.107 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.111 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545304440.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1545304440.111 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1545304440.111 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1545304440.111 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.114 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.117 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.120 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.124 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1545304440.124 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) 1)) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)))) 1545304440.124 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1545304440.124 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1545304440.124 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.127 * * [misc]simplify: iters left: 3 (11 enodes) 1545304440.130 * * [misc]simplify: iters left: 2 (13 enodes) 1545304440.132 * * [misc]simplify: iters left: 1 (14 enodes) 1545304440.134 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1545304440.134 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1545304440.134 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1545304440.134 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545304440.134 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.135 * * [misc]simplify: iters left: 3 (11 enodes) 1545304440.137 * * [misc]simplify: iters left: 2 (13 enodes) 1545304440.139 * * [misc]simplify: iters left: 1 (14 enodes) 1545304440.141 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545304440.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 (sqrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1545304440.141 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1545304440.141 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545304440.141 * * [misc]simplify: iters left: 4 (8 enodes) 1545304440.142 * * [misc]simplify: iters left: 3 (10 enodes) 1545304440.143 * * [misc]simplify: iters left: 2 (12 enodes) 1545304440.145 * * [misc]simplify: iters left: 1 (13 enodes) 1545304440.147 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545304440.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 1)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545304440.147 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1545304440.147 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545304440.147 * * [misc]simplify: iters left: 4 (8 enodes) 1545304440.148 * * [misc]simplify: iters left: 3 (10 enodes) 1545304440.149 * * [misc]simplify: iters left: 2 (12 enodes) 1545304440.151 * * [misc]simplify: iters left: 1 (13 enodes) 1545304440.152 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545304440.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545304440.152 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1545304440.153 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545304440.153 * * [misc]simplify: iters left: 3 (4 enodes) 1545304440.153 * * [misc]simplify: iters left: 2 (6 enodes) 1545304440.154 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545304440.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (/ 1 (sqrt k)))) 1545304440.154 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1545304440.154 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1545304440.154 * * [misc]simplify: iters left: 3 (7 enodes) 1545304440.155 * * [misc]simplify: iters left: 2 (9 enodes) 1545304440.156 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1545304440.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1545304440.156 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1545304440.156 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1545304440.156 * * [misc]simplify: iters left: 2 (6 enodes) 1545304440.157 * * [misc]simplify: iters left: 1 (8 enodes) 1545304440.158 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1545304440.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1545304440.158 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1545304440.159 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304440.159 * * [misc]simplify: iters left: 6 (10 enodes) 1545304440.160 * * [misc]simplify: iters left: 5 (13 enodes) 1545304440.162 * * [misc]simplify: iters left: 4 (15 enodes) 1545304440.164 * * [misc]simplify: iters left: 3 (16 enodes) 1545304440.166 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1545304440.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1545304440.166 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1545304440.166 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545304440.166 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.167 * * [misc]simplify: iters left: 3 (12 enodes) 1545304440.170 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.174 * * [misc]simplify: iters left: 1 (15 enodes) 1545304440.177 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1545304440.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1545304440.177 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1545304440.177 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1545304440.177 * [enter]simplify: Simplifying (sqrt k) 1545304440.177 * * [misc]simplify: iters left: 1 (2 enodes) 1545304440.177 * [exit]simplify: Simplified to (sqrt k) 1545304440.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545304440.177 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1545304440.177 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1545304440.177 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1545304440.177 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1545304440.177 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1545304440.178 * [enter]simplify: Simplifying (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k))) 1545304440.178 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.179 * * [misc]simplify: iters left: 4 (16 enodes) 1545304440.182 * * [misc]simplify: iters left: 3 (26 enodes) 1545304440.186 * * [misc]simplify: iters left: 2 (51 enodes) 1545304440.195 * * [misc]simplify: iters left: 1 (80 enodes) 1545304440.207 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k))) 1545304440.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (exp (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1545304440.207 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1545304440.208 * [enter]simplify: Simplifying (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k))) 1545304440.208 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.211 * * [misc]simplify: iters left: 4 (16 enodes) 1545304440.215 * * [misc]simplify: iters left: 3 (21 enodes) 1545304440.220 * * [misc]simplify: iters left: 2 (31 enodes) 1545304440.232 * * [misc]simplify: iters left: 1 (67 enodes) 1545304440.244 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (log n)) (log (sqrt k))) 1545304440.244 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (exp (- (* (fma k -1/2 1/2) (log n)) (log (sqrt k)))))) 1545304440.244 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1545304440.244 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1545304440.244 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1545304440.244 * [enter]simplify: Simplifying (/ (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545304440.244 * * [misc]simplify: iters left: 6 (12 enodes) 1545304440.246 * * [misc]simplify: iters left: 5 (23 enodes) 1545304440.250 * * [misc]simplify: iters left: 4 (52 enodes) 1545304440.260 * * [misc]simplify: iters left: 3 (108 enodes) 1545304440.300 * * [misc]simplify: iters left: 2 (185 enodes) 1545304440.384 * * [misc]simplify: iters left: 1 (301 enodes) 1545304440.518 * [exit]simplify: Simplified to (/ (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2)))) 1545304440.518 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (/ (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))))))) 1545304440.518 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1545304440.519 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1545304440.519 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1545304440.519 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1545304440.519 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1545304440.519 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.519 * * [misc]simplify: iters left: 6 (9 enodes) 1545304440.522 * * [misc]simplify: iters left: 5 (12 enodes) 1545304440.525 * [exit]simplify: Simplified to (/ (pow n (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.525 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n 1/2) (cbrt (sqrt k)))))) 1545304440.526 * [enter]simplify: Simplifying (/ (pow n 1/2) (cbrt (sqrt k))) 1545304440.526 * * [misc]simplify: iters left: 4 (7 enodes) 1545304440.528 * * [misc]simplify: iters left: 3 (8 enodes) 1545304440.530 * [exit]simplify: Simplified to (/ (sqrt n) (cbrt (sqrt k))) 1545304440.530 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt k)))))) 1545304440.530 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1545304440.530 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) 1545304440.530 * * [misc]simplify: iters left: 5 (8 enodes) 1545304440.533 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.535 * [exit]simplify: Simplified to (/ (pow n (* k -1/2)) (sqrt (sqrt k))) 1545304440.535 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* k -1/2)) (sqrt (sqrt k))) (/ (pow n 1/2) (sqrt (sqrt k)))))) 1545304440.536 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt (sqrt k))) 1545304440.536 * * [misc]simplify: iters left: 4 (7 enodes) 1545304440.538 * * [misc]simplify: iters left: 3 (8 enodes) 1545304440.540 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1545304440.540 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) (/ (sqrt n) (sqrt (sqrt k)))))) 1545304440.540 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1545304440.540 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) 1) 1545304440.540 * * [misc]simplify: iters left: 5 (7 enodes) 1545304440.543 * * [misc]simplify: iters left: 4 (10 enodes) 1545304440.546 * * [misc]simplify: iters left: 3 (12 enodes) 1545304440.549 * [exit]simplify: Simplified to (pow n (* k -1/2)) 1545304440.549 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* k -1/2)) (/ (pow n 1/2) (sqrt k))))) 1545304440.549 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt k)) 1545304440.549 * * [misc]simplify: iters left: 3 (6 enodes) 1545304440.551 * * [misc]simplify: iters left: 2 (7 enodes) 1545304440.553 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt k)) 1545304440.553 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* k -1/2)) (/ (sqrt n) (sqrt k))))) 1545304440.553 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1545304440.554 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.554 * * [misc]simplify: iters left: 6 (12 enodes) 1545304440.557 * * [misc]simplify: iters left: 5 (20 enodes) 1545304440.563 * * [misc]simplify: iters left: 4 (31 enodes) 1545304440.568 * * [misc]simplify: iters left: 3 (35 enodes) 1545304440.572 * * [misc]simplify: iters left: 2 (38 enodes) 1545304440.577 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1545304440.577 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1545304440.577 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1545304440.577 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.578 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.580 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.582 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.583 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1545304440.583 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1545304440.583 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1545304440.584 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k))) 1545304440.584 * * [misc]simplify: iters left: 6 (11 enodes) 1545304440.585 * * [misc]simplify: iters left: 5 (15 enodes) 1545304440.587 * * [misc]simplify: iters left: 4 (19 enodes) 1545304440.590 * * [misc]simplify: iters left: 3 (21 enodes) 1545304440.597 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) 1545304440.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1545304440.597 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545304440.597 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.600 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.604 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.608 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.612 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545304440.612 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1545304440.612 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1545304440.612 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1) 1545304440.613 * * [misc]simplify: iters left: 6 (10 enodes) 1545304440.616 * * [misc]simplify: iters left: 5 (16 enodes) 1545304440.621 * * [misc]simplify: iters left: 4 (24 enodes) 1545304440.627 * * [misc]simplify: iters left: 3 (27 enodes) 1545304440.633 * * [misc]simplify: iters left: 2 (32 enodes) 1545304440.640 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) 1545304440.640 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k))))) 1545304440.641 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1545304440.641 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.643 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.646 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.650 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.654 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1545304440.654 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k))))) 1545304440.654 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1545304440.654 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.655 * * [misc]simplify: iters left: 6 (11 enodes) 1545304440.658 * * [misc]simplify: iters left: 5 (15 enodes) 1545304440.662 * * [misc]simplify: iters left: 4 (17 enodes) 1545304440.665 * * [misc]simplify: iters left: 3 (18 enodes) 1545304440.667 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.668 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1545304440.668 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1545304440.668 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.669 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.671 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.673 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.675 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1545304440.675 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1545304440.675 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1545304440.675 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545304440.675 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.676 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.678 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.680 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.682 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545304440.682 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1545304440.682 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1545304440.682 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.683 * * [misc]simplify: iters left: 4 (12 enodes) 1545304440.685 * * [misc]simplify: iters left: 3 (14 enodes) 1545304440.687 * * [misc]simplify: iters left: 2 (15 enodes) 1545304440.689 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1545304440.689 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1545304440.689 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1545304440.689 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) 1) 1545304440.689 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.690 * * [misc]simplify: iters left: 4 (13 enodes) 1545304440.693 * * [misc]simplify: iters left: 3 (17 enodes) 1545304440.694 * * [misc]simplify: iters left: 2 (18 enodes) 1545304440.696 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545304440.696 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k))))) 1545304440.696 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1545304440.697 * * [misc]simplify: iters left: 5 (9 enodes) 1545304440.698 * * [misc]simplify: iters left: 4 (11 enodes) 1545304440.699 * * [misc]simplify: iters left: 3 (13 enodes) 1545304440.701 * * [misc]simplify: iters left: 2 (14 enodes) 1545304440.704 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1545304440.704 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k))))) 1545304440.704 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1545304440.704 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545304440.704 * * [misc]simplify: iters left: 6 (6 enodes) 1545304440.705 * * [misc]simplify: iters left: 5 (10 enodes) 1545304440.707 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545304440.707 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1545304440.707 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1545304440.707 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.709 * * [misc]simplify: iters left: 3 (11 enodes) 1545304440.712 * * [misc]simplify: iters left: 2 (13 enodes) 1545304440.716 * * [misc]simplify: iters left: 1 (14 enodes) 1545304440.719 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1545304440.719 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1545304440.719 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1545304440.720 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545304440.720 * * [misc]simplify: iters left: 4 (5 enodes) 1545304440.721 * * [misc]simplify: iters left: 3 (7 enodes) 1545304440.723 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545304440.723 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1545304440.723 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1545304440.723 * * [misc]simplify: iters left: 4 (9 enodes) 1545304440.725 * * [misc]simplify: iters left: 3 (11 enodes) 1545304440.728 * * [misc]simplify: iters left: 2 (13 enodes) 1545304440.731 * * [misc]simplify: iters left: 1 (14 enodes) 1545304440.734 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1545304440.735 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1545304440.735 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1545304440.735 * [enter]simplify: Simplifying (/ 1 1) 1545304440.735 * * [misc]simplify: iters left: 2 (2 enodes) 1545304440.736 * * [misc]simplify: iters left: 1 (4 enodes) 1545304440.736 * [exit]simplify: Simplified to 1 1545304440.736 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* 1 (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1545304440.737 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1545304440.737 * * [misc]simplify: iters left: 4 (8 enodes) 1545304440.739 * * [misc]simplify: iters left: 3 (10 enodes) 1545304440.741 * * [misc]simplify: iters left: 2 (12 enodes) 1545304440.744 * * [misc]simplify: iters left: 1 (13 enodes) 1545304440.747 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1545304440.747 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* 1 (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1545304440.747 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1545304440.747 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1545304440.748 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1545304440.748 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1545304440.748 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545304440.748 * * [misc]simplify: iters left: 2 (3 enodes) 1545304440.749 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545304440.749 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (/ (pow n (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1545304440.749 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1545304440.749 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545304440.749 * * [misc]simplify: iters left: 2 (3 enodes) 1545304440.750 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545304440.750 * [misc]simplify: Simplified (2 2 2) 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))))) 1545304440.750 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1545304440.750 * [enter]simplify: Simplifying (sqrt k) 1545304440.750 * * [misc]simplify: iters left: 1 (2 enodes) 1545304440.751 * [exit]simplify: Simplified to (sqrt k) 1545304440.751 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (/ (pow n (fma -1/2 k 1/2)) 1) (sqrt k)))) 1545304440.751 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1545304440.751 * [enter]simplify: Simplifying (pow n (* -1/2 k)) 1545304440.751 * * [misc]simplify: iters left: 3 (5 enodes) 1545304440.752 * * [misc]simplify: iters left: 2 (6 enodes) 1545304440.754 * [exit]simplify: Simplified to (pow n (* k -1/2)) 1545304440.754 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* k -1/2)) (/ (sqrt k) (pow n 1/2))))) 1545304440.754 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1545304440.754 * [enter]simplify: Simplifying (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1545304440.754 * * [misc]simplify: iters left: 5 (8 enodes) 1545304440.757 * * [misc]simplify: iters left: 4 (10 enodes) 1545304440.759 * * [misc]simplify: iters left: 3 (12 enodes) 1545304440.762 * * [misc]simplify: iters left: 2 (13 enodes) 1545304440.765 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) 1545304440.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1545304440.766 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1545304440.766 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1545304440.766 * * [misc]simplify: iters left: 3 (7 enodes) 1545304440.768 * * [misc]simplify: iters left: 2 (9 enodes) 1545304440.770 * * [misc]simplify: iters left: 1 (11 enodes) 1545304440.773 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1545304440.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1545304440.773 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1545304440.773 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1545304440.773 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545304440.773 * * [misc]simplify: iters left: 6 (18 enodes) 1545304440.779 * * [misc]simplify: iters left: 5 (39 enodes) 1545304440.794 * * [misc]simplify: iters left: 4 (119 enodes) 1545304440.856 * * [misc]simplify: iters left: 3 (334 enodes) 1545304441.042 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1545304441.042 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) (sqrt k)))) 1545304441.042 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1545304441.042 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545304441.042 * * [misc]simplify: iters left: 6 (12 enodes) 1545304441.051 * * [misc]simplify: iters left: 5 (28 enodes) 1545304441.062 * * [misc]simplify: iters left: 4 (67 enodes) 1545304441.091 * * [misc]simplify: iters left: 3 (180 enodes) 1545304441.226 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1545304441.226 * [misc]simplify: Simplified (2 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)))) 1545304441.226 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1545304441.227 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545304441.227 * * [misc]simplify: iters left: 6 (12 enodes) 1545304441.231 * * [misc]simplify: iters left: 5 (22 enodes) 1545304441.239 * * [misc]simplify: iters left: 4 (52 enodes) 1545304441.263 * * [misc]simplify: iters left: 3 (149 enodes) 1545304441.333 * * [misc]simplify: iters left: 2 (453 enodes) 1545304442.133 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1545304442.133 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1545304442.133 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1545304442.133 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1545304442.133 * * [misc]simplify: iters left: 6 (22 enodes) 1545304442.138 * * [misc]simplify: iters left: 5 (55 enodes) 1545304442.150 * * [misc]simplify: iters left: 4 (175 enodes) 1545304442.238 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1545304442.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1545304442.238 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1545304442.239 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304442.239 * * [misc]simplify: iters left: 3 (8 enodes) 1545304442.241 * * [misc]simplify: iters left: 2 (11 enodes) 1545304442.244 * * [misc]simplify: iters left: 1 (13 enodes) 1545304442.248 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304442.248 * [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)))) 1545304442.248 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1545304442.249 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304442.249 * * [misc]simplify: iters left: 3 (8 enodes) 1545304442.251 * * [misc]simplify: iters left: 2 (11 enodes) 1545304442.253 * * [misc]simplify: iters left: 1 (13 enodes) 1545304442.255 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1545304442.255 * [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)))) 1545304442.255 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1545304442.256 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545304442.256 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304442.256 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1545304442.256 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1545304442.256 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304442.256 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1545304442.256 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1545304442.256 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545304442.256 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1545304442.256 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt n) k)) (- (+ (* +nan.0 (* (sqrt n) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow k 2))) (- (+ (* +nan.0 (sqrt n)) (- (* +nan.0 (* (sqrt n) (* (log n) (pow k 2))))))))))))))) 1545304442.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1545304442.256 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1545304442.257 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 3)))))))) 1545304442.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1545304442.257 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1545304442.257 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))))))))) 1545304442.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1545304442.257 * * * [misc]progress: adding candidates to table 1545304444.057 * [misc]progress: [Phase 3 of 3] Extracting. 1545304444.058 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1545304444.059 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545304444.059 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1545304444.146 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1545304444.231 * * * [misc]regime: Found split indices: #