1545212062.244 * [misc]progress: [Phase 1 of 3] Setting up. 1545212062.244 * * * [misc]progress: [1/2] Preparing points 1545212062.244 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545212062.375 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.375 * * * * [misc]points: Sampling 182 additional inputs, on iter 1 have 74 / 256 1545212062.427 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.427 * * * * [misc]points: Sampling 131 additional inputs, on iter 2 have 125 / 256 1545212062.488 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.488 * * * * [misc]points: Sampling 91 additional inputs, on iter 3 have 165 / 256 1545212062.534 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.534 * * * * [misc]points: Sampling 71 additional inputs, on iter 4 have 185 / 256 1545212062.626 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.626 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1545212062.648 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.649 * * * * [misc]points: Sampling 42 additional inputs, on iter 6 have 214 / 256 1545212062.660 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.660 * * * * [misc]points: Sampling 34 additional inputs, on iter 7 have 222 / 256 1545212062.670 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.670 * * * * [misc]points: Sampling 23 additional inputs, on iter 8 have 233 / 256 1545212062.677 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.677 * * * * [misc]points: Sampling 17 additional inputs, on iter 9 have 239 / 256 1545212062.687 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.687 * * * * [misc]points: Sampling 14 additional inputs, on iter 10 have 242 / 256 1545212062.697 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.697 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1545212062.706 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.706 * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 1545212062.714 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.714 * * * * [misc]points: Sampling 7 additional inputs, on iter 13 have 249 / 256 1545212062.720 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.720 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1545212062.725 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.725 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1545212062.731 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.731 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 1545212062.736 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.736 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 255 / 256 1545212062.741 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.741 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1545212062.747 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.747 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545212062.792 * * * * [misc]points: Filtering points with unrepresentable outputs 1545212062.792 * * * * [exit]points: Sampled 257 points with exact outputs 1545212062.792 * * * [misc]progress: [2/2] Setting up program. 1545212062.799 * [misc]progress: [Phase 2 of 3] Improving. 1545212062.799 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545212062.799 * * [misc]simplify: iters left: 6 (13 enodes) 1545212062.809 * * [misc]simplify: iters left: 5 (28 enodes) 1545212062.816 * * [misc]simplify: iters left: 4 (44 enodes) 1545212062.828 * * [misc]simplify: iters left: 3 (54 enodes) 1545212062.840 * * [misc]simplify: iters left: 2 (57 enodes) 1545212062.852 * * [misc]simplify: iters left: 1 (65 enodes) 1545212062.866 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545212062.880 * * [misc]progress: iteration 1 / 4 1545212062.880 * * * [misc]progress: picking best candidate 1545212062.892 * * * * [misc]pick: Picked # 1545212062.892 * * * [misc]progress: localizing error 1545212063.252 * * * [misc]progress: generating rewritten candidates 1545212063.252 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545212063.269 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545212063.274 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545212063.289 * * * [misc]progress: generating series expansions 1545212063.289 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545212063.289 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545212063.289 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545212063.289 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212063.289 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212063.289 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212063.289 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212063.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.289 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212063.289 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.289 * [misc]taylor: Taking taylor expansion of k in k 1545212063.289 * [misc]backup-simplify: Simplify 0 into 0 1545212063.289 * [misc]backup-simplify: Simplify 1 into 1 1545212063.290 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212063.290 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212063.290 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.290 * [misc]backup-simplify: Simplify 2 into 2 1545212063.290 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212063.290 * [misc]taylor: Taking taylor expansion of n in k 1545212063.290 * [misc]backup-simplify: Simplify n into n 1545212063.290 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.290 * [misc]backup-simplify: Simplify PI into PI 1545212063.290 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212063.290 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212063.290 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212063.290 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212063.290 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.291 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.291 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212063.291 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212063.291 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.291 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.291 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.291 * [misc]taylor: Taking taylor expansion of k in n 1545212063.291 * [misc]backup-simplify: Simplify k into k 1545212063.291 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.291 * [misc]backup-simplify: Simplify 2 into 2 1545212063.291 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.291 * [misc]taylor: Taking taylor expansion of n in n 1545212063.291 * [misc]backup-simplify: Simplify 0 into 0 1545212063.291 * [misc]backup-simplify: Simplify 1 into 1 1545212063.292 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.292 * [misc]backup-simplify: Simplify PI into PI 1545212063.292 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212063.292 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212063.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212063.293 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212063.294 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.294 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212063.294 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212063.294 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212063.295 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.295 * [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)))) 1545212063.296 * [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))))) 1545212063.296 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.296 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.296 * [misc]taylor: Taking taylor expansion of k in n 1545212063.296 * [misc]backup-simplify: Simplify k into k 1545212063.296 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212063.296 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.297 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.297 * [misc]backup-simplify: Simplify 2 into 2 1545212063.297 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.297 * [misc]taylor: Taking taylor expansion of n in n 1545212063.297 * [misc]backup-simplify: Simplify 0 into 0 1545212063.297 * [misc]backup-simplify: Simplify 1 into 1 1545212063.297 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.297 * [misc]backup-simplify: Simplify PI into PI 1545212063.297 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212063.297 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212063.298 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212063.299 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212063.299 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.299 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212063.299 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212063.300 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212063.300 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.301 * [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)))) 1545212063.302 * [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))))) 1545212063.302 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.302 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.302 * [misc]taylor: Taking taylor expansion of k in k 1545212063.302 * [misc]backup-simplify: Simplify 0 into 0 1545212063.302 * [misc]backup-simplify: Simplify 1 into 1 1545212063.302 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of n in k 1545212063.302 * [misc]backup-simplify: Simplify n into n 1545212063.302 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.302 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212063.302 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.302 * [misc]backup-simplify: Simplify 2 into 2 1545212063.302 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.302 * [misc]backup-simplify: Simplify PI into PI 1545212063.303 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.303 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.303 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212063.303 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.304 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.304 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.305 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545212063.305 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545212063.306 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545212063.307 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212063.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212063.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545212063.311 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.313 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545212063.314 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.315 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.315 * [misc]backup-simplify: Simplify 0 into 0 1545212063.315 * [misc]backup-simplify: Simplify 0 into 0 1545212063.315 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545212063.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212063.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.319 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212063.319 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.319 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545212063.321 * [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))))))) 1545212063.322 * [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))))))) 1545212063.323 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545212063.326 * [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 1545212063.327 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545212063.327 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.327 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.328 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212063.329 * [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 1545212063.329 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.329 * [misc]backup-simplify: Simplify 0 into 0 1545212063.329 * [misc]backup-simplify: Simplify 0 into 0 1545212063.329 * [misc]backup-simplify: Simplify 0 into 0 1545212063.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545212063.331 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.334 * [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 1545212063.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212063.334 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.335 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212063.336 * [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))))) 1545212063.338 * [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))))) 1545212063.341 * [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))))) 1545212063.341 * [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)))) 1545212063.341 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545212063.341 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212063.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212063.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212063.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212063.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.342 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.342 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.342 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.342 * [misc]taylor: Taking taylor expansion of k in k 1545212063.342 * [misc]backup-simplify: Simplify 0 into 0 1545212063.342 * [misc]backup-simplify: Simplify 1 into 1 1545212063.342 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.342 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212063.342 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212063.342 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.342 * [misc]backup-simplify: Simplify 2 into 2 1545212063.342 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212063.342 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.342 * [misc]backup-simplify: Simplify PI into PI 1545212063.342 * [misc]taylor: Taking taylor expansion of n in k 1545212063.342 * [misc]backup-simplify: Simplify n into n 1545212063.342 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212063.342 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212063.342 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212063.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.342 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212063.343 * [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)))) 1545212063.343 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.343 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.343 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of k in n 1545212063.343 * [misc]backup-simplify: Simplify k into k 1545212063.343 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.343 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.343 * [misc]backup-simplify: Simplify 2 into 2 1545212063.343 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.343 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.343 * [misc]backup-simplify: Simplify PI into PI 1545212063.343 * [misc]taylor: Taking taylor expansion of n in n 1545212063.343 * [misc]backup-simplify: Simplify 0 into 0 1545212063.343 * [misc]backup-simplify: Simplify 1 into 1 1545212063.343 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.343 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.344 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.344 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.344 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212063.344 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212063.344 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.345 * [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))) 1545212063.345 * [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)))) 1545212063.345 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of k in n 1545212063.345 * [misc]backup-simplify: Simplify k into k 1545212063.345 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.345 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.345 * [misc]backup-simplify: Simplify 2 into 2 1545212063.345 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.345 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.345 * [misc]backup-simplify: Simplify PI into PI 1545212063.345 * [misc]taylor: Taking taylor expansion of n in n 1545212063.345 * [misc]backup-simplify: Simplify 0 into 0 1545212063.345 * [misc]backup-simplify: Simplify 1 into 1 1545212063.346 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.346 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.346 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.346 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.346 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212063.346 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212063.347 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.347 * [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))) 1545212063.348 * [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)))) 1545212063.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545212063.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545212063.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212063.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.348 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.348 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.348 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.348 * [misc]taylor: Taking taylor expansion of k in k 1545212063.348 * [misc]backup-simplify: Simplify 0 into 0 1545212063.348 * [misc]backup-simplify: Simplify 1 into 1 1545212063.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.348 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545212063.349 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212063.349 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212063.349 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.349 * [misc]backup-simplify: Simplify 2 into 2 1545212063.349 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.349 * [misc]backup-simplify: Simplify PI into PI 1545212063.349 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.350 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.350 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.350 * [misc]taylor: Taking taylor expansion of n in k 1545212063.350 * [misc]backup-simplify: Simplify n into n 1545212063.350 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.350 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.350 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.350 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.350 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212063.351 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545212063.351 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545212063.352 * [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)))) 1545212063.353 * [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)))) 1545212063.354 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.354 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212063.357 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.357 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212063.357 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.358 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.359 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545212063.361 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.361 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.361 * [misc]backup-simplify: Simplify 0 into 0 1545212063.361 * [misc]backup-simplify: Simplify 0 into 0 1545212063.361 * [misc]backup-simplify: Simplify 0 into 0 1545212063.362 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.363 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.366 * [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 1545212063.366 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212063.367 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.367 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.368 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545212063.369 * [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 1545212063.369 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.369 * [misc]backup-simplify: Simplify 0 into 0 1545212063.369 * [misc]backup-simplify: Simplify 0 into 0 1545212063.369 * [misc]backup-simplify: Simplify 0 into 0 1545212063.369 * [misc]backup-simplify: Simplify 0 into 0 1545212063.370 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.371 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.376 * [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 1545212063.376 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.376 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212063.376 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.377 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.378 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545212063.383 * [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 1545212063.383 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.383 * [misc]backup-simplify: Simplify 0 into 0 1545212063.383 * [misc]backup-simplify: Simplify 0 into 0 1545212063.384 * [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))))) 1545212063.384 * [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)) 1545212063.384 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545212063.384 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.384 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of k in k 1545212063.384 * [misc]backup-simplify: Simplify 0 into 0 1545212063.384 * [misc]backup-simplify: Simplify 1 into 1 1545212063.384 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.384 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.384 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.384 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of -2 in k 1545212063.384 * [misc]backup-simplify: Simplify -2 into -2 1545212063.384 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212063.384 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.384 * [misc]backup-simplify: Simplify PI into PI 1545212063.384 * [misc]taylor: Taking taylor expansion of n in k 1545212063.384 * [misc]backup-simplify: Simplify n into n 1545212063.384 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212063.384 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212063.384 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212063.385 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.385 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.385 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212063.385 * [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))) 1545212063.385 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of k in n 1545212063.385 * [misc]backup-simplify: Simplify k into k 1545212063.385 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.385 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.385 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.385 * [misc]backup-simplify: Simplify -2 into -2 1545212063.385 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.385 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.385 * [misc]backup-simplify: Simplify PI into PI 1545212063.385 * [misc]taylor: Taking taylor expansion of n in n 1545212063.385 * [misc]backup-simplify: Simplify 0 into 0 1545212063.385 * [misc]backup-simplify: Simplify 1 into 1 1545212063.385 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.386 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.386 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.386 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.386 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212063.387 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.387 * [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))) 1545212063.387 * [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)))) 1545212063.387 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212063.387 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212063.387 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212063.387 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212063.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.388 * [misc]taylor: Taking taylor expansion of k in n 1545212063.388 * [misc]backup-simplify: Simplify k into k 1545212063.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.388 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.388 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212063.388 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.388 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.388 * [misc]backup-simplify: Simplify -2 into -2 1545212063.388 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.388 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.388 * [misc]backup-simplify: Simplify PI into PI 1545212063.388 * [misc]taylor: Taking taylor expansion of n in n 1545212063.388 * [misc]backup-simplify: Simplify 0 into 0 1545212063.388 * [misc]backup-simplify: Simplify 1 into 1 1545212063.388 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.388 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.388 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.389 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212063.389 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.389 * [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))) 1545212063.390 * [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)))) 1545212063.390 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of k in k 1545212063.390 * [misc]backup-simplify: Simplify 0 into 0 1545212063.390 * [misc]backup-simplify: Simplify 1 into 1 1545212063.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.390 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545212063.390 * [misc]taylor: Taking taylor expansion of -2 in k 1545212063.390 * [misc]backup-simplify: Simplify -2 into -2 1545212063.390 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.390 * [misc]backup-simplify: Simplify PI into PI 1545212063.390 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.391 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.391 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.391 * [misc]taylor: Taking taylor expansion of n in k 1545212063.391 * [misc]backup-simplify: Simplify n into n 1545212063.391 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.391 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.391 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.391 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212063.392 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545212063.392 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545212063.393 * [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)))) 1545212063.393 * [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)))) 1545212063.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.395 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212063.398 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545212063.398 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.398 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212063.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.399 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.400 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545212063.401 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.402 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.402 * [misc]backup-simplify: Simplify 0 into 0 1545212063.402 * [misc]backup-simplify: Simplify 0 into 0 1545212063.402 * [misc]backup-simplify: Simplify 0 into 0 1545212063.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.410 * [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 1545212063.410 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.410 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212063.410 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.411 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.412 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545212063.414 * [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 1545212063.414 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.414 * [misc]backup-simplify: Simplify 0 into 0 1545212063.415 * [misc]backup-simplify: Simplify 0 into 0 1545212063.415 * [misc]backup-simplify: Simplify 0 into 0 1545212063.415 * [misc]backup-simplify: Simplify 0 into 0 1545212063.417 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.418 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.426 * [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 1545212063.427 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.427 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212063.427 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.428 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.429 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545212063.433 * [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 1545212063.433 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.433 * [misc]backup-simplify: Simplify 0 into 0 1545212063.433 * [misc]backup-simplify: Simplify 0 into 0 1545212063.434 * [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))))) 1545212063.434 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545212063.434 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545212063.434 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545212063.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.434 * [misc]backup-simplify: Simplify 2 into 2 1545212063.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.434 * [misc]taylor: Taking taylor expansion of n in n 1545212063.434 * [misc]backup-simplify: Simplify 0 into 0 1545212063.434 * [misc]backup-simplify: Simplify 1 into 1 1545212063.434 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.434 * [misc]backup-simplify: Simplify PI into PI 1545212063.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.434 * [misc]backup-simplify: Simplify 2 into 2 1545212063.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.434 * [misc]taylor: Taking taylor expansion of n in n 1545212063.434 * [misc]backup-simplify: Simplify 0 into 0 1545212063.434 * [misc]backup-simplify: Simplify 1 into 1 1545212063.434 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.434 * [misc]backup-simplify: Simplify PI into PI 1545212063.435 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212063.435 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212063.435 * [misc]backup-simplify: Simplify 0 into 0 1545212063.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212063.436 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212063.437 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212063.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212063.439 * [misc]backup-simplify: Simplify 0 into 0 1545212063.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.442 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545212063.442 * [misc]backup-simplify: Simplify 0 into 0 1545212063.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212063.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545212063.446 * [misc]backup-simplify: Simplify 0 into 0 1545212063.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212063.452 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545212063.452 * [misc]backup-simplify: Simplify 0 into 0 1545212063.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212063.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545212063.459 * [misc]backup-simplify: Simplify 0 into 0 1545212063.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545212063.467 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545212063.467 * [misc]backup-simplify: Simplify 0 into 0 1545212063.467 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545212063.468 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545212063.468 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545212063.468 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.468 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.468 * [misc]backup-simplify: Simplify 2 into 2 1545212063.468 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.468 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.468 * [misc]backup-simplify: Simplify PI into PI 1545212063.468 * [misc]taylor: Taking taylor expansion of n in n 1545212063.468 * [misc]backup-simplify: Simplify 0 into 0 1545212063.468 * [misc]backup-simplify: Simplify 1 into 1 1545212063.468 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.468 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.468 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.468 * [misc]backup-simplify: Simplify 2 into 2 1545212063.468 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.468 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.468 * [misc]backup-simplify: Simplify PI into PI 1545212063.468 * [misc]taylor: Taking taylor expansion of n in n 1545212063.468 * [misc]backup-simplify: Simplify 0 into 0 1545212063.469 * [misc]backup-simplify: Simplify 1 into 1 1545212063.469 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.469 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.469 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.471 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.471 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212063.471 * [misc]backup-simplify: Simplify 0 into 0 1545212063.473 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.474 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.474 * [misc]backup-simplify: Simplify 0 into 0 1545212063.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.477 * [misc]backup-simplify: Simplify 0 into 0 1545212063.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212063.481 * [misc]backup-simplify: Simplify 0 into 0 1545212063.484 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.486 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212063.486 * [misc]backup-simplify: Simplify 0 into 0 1545212063.489 * [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 1545212063.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212063.492 * [misc]backup-simplify: Simplify 0 into 0 1545212063.492 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545212063.492 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545212063.493 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545212063.493 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.493 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.493 * [misc]backup-simplify: Simplify -2 into -2 1545212063.493 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.493 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.493 * [misc]backup-simplify: Simplify PI into PI 1545212063.493 * [misc]taylor: Taking taylor expansion of n in n 1545212063.493 * [misc]backup-simplify: Simplify 0 into 0 1545212063.493 * [misc]backup-simplify: Simplify 1 into 1 1545212063.493 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.493 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.493 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.493 * [misc]backup-simplify: Simplify -2 into -2 1545212063.493 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.493 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.493 * [misc]backup-simplify: Simplify PI into PI 1545212063.493 * [misc]taylor: Taking taylor expansion of n in n 1545212063.493 * [misc]backup-simplify: Simplify 0 into 0 1545212063.493 * [misc]backup-simplify: Simplify 1 into 1 1545212063.494 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.494 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.494 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.496 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212063.496 * [misc]backup-simplify: Simplify 0 into 0 1545212063.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.498 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.499 * [misc]backup-simplify: Simplify 0 into 0 1545212063.500 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.502 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.502 * [misc]backup-simplify: Simplify 0 into 0 1545212063.504 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.506 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212063.506 * [misc]backup-simplify: Simplify 0 into 0 1545212063.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.511 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212063.512 * [misc]backup-simplify: Simplify 0 into 0 1545212063.514 * [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 1545212063.518 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212063.518 * [misc]backup-simplify: Simplify 0 into 0 1545212063.518 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545212063.518 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545212063.518 * [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)))) 1545212063.519 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545212063.519 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545212063.519 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212063.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.519 * [misc]taylor: Taking taylor expansion of k in k 1545212063.519 * [misc]backup-simplify: Simplify 0 into 0 1545212063.519 * [misc]backup-simplify: Simplify 1 into 1 1545212063.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.520 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212063.520 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.520 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.520 * [misc]taylor: Taking taylor expansion of k in k 1545212063.520 * [misc]backup-simplify: Simplify 0 into 0 1545212063.520 * [misc]backup-simplify: Simplify 1 into 1 1545212063.520 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.520 * [misc]backup-simplify: Simplify 2 into 2 1545212063.520 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212063.520 * [misc]taylor: Taking taylor expansion of n in k 1545212063.520 * [misc]backup-simplify: Simplify n into n 1545212063.520 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.520 * [misc]backup-simplify: Simplify PI into PI 1545212063.520 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212063.521 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212063.521 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212063.521 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212063.521 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.521 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.521 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212063.521 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212063.521 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of k in n 1545212063.522 * [misc]backup-simplify: Simplify k into k 1545212063.522 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.522 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212063.522 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.522 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212063.522 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.522 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.522 * [misc]taylor: Taking taylor expansion of k in n 1545212063.522 * [misc]backup-simplify: Simplify k into k 1545212063.522 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.522 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.522 * [misc]backup-simplify: Simplify 2 into 2 1545212063.523 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.523 * [misc]taylor: Taking taylor expansion of n in n 1545212063.523 * [misc]backup-simplify: Simplify 0 into 0 1545212063.523 * [misc]backup-simplify: Simplify 1 into 1 1545212063.523 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.523 * [misc]backup-simplify: Simplify PI into PI 1545212063.523 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212063.523 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212063.524 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212063.524 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212063.525 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.525 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212063.525 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212063.525 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212063.526 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.526 * [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)))) 1545212063.527 * [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))))) 1545212063.527 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545212063.527 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212063.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.527 * [misc]taylor: Taking taylor expansion of k in n 1545212063.527 * [misc]backup-simplify: Simplify k into k 1545212063.527 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.527 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212063.528 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.528 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212063.528 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.528 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.528 * [misc]taylor: Taking taylor expansion of k in n 1545212063.528 * [misc]backup-simplify: Simplify k into k 1545212063.528 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.528 * [misc]backup-simplify: Simplify 2 into 2 1545212063.528 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212063.528 * [misc]taylor: Taking taylor expansion of n in n 1545212063.528 * [misc]backup-simplify: Simplify 0 into 0 1545212063.528 * [misc]backup-simplify: Simplify 1 into 1 1545212063.528 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.528 * [misc]backup-simplify: Simplify PI into PI 1545212063.529 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212063.529 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212063.529 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212063.530 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212063.531 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.531 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212063.531 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212063.531 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212063.532 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.532 * [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)))) 1545212063.533 * [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))))) 1545212063.534 * [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))) 1545212063.534 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.534 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.534 * [misc]taylor: Taking taylor expansion of k in k 1545212063.534 * [misc]backup-simplify: Simplify 0 into 0 1545212063.534 * [misc]backup-simplify: Simplify 1 into 1 1545212063.534 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of n in k 1545212063.534 * [misc]backup-simplify: Simplify n into n 1545212063.534 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.534 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212063.534 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.534 * [misc]backup-simplify: Simplify 2 into 2 1545212063.534 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.534 * [misc]backup-simplify: Simplify PI into PI 1545212063.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.535 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.535 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212063.535 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.536 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.536 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.537 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545212063.537 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545212063.537 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212063.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.537 * [misc]taylor: Taking taylor expansion of k in k 1545212063.537 * [misc]backup-simplify: Simplify 0 into 0 1545212063.537 * [misc]backup-simplify: Simplify 1 into 1 1545212063.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.538 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.538 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212063.539 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545212063.539 * [misc]backup-simplify: Simplify 0 into 0 1545212063.540 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212063.542 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212063.545 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.545 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545212063.545 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.546 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.546 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.547 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545212063.548 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.549 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545212063.549 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.549 * [misc]backup-simplify: Simplify 0 into 0 1545212063.550 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545212063.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212063.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.554 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212063.554 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.554 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.555 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545212063.556 * [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))))))) 1545212063.558 * [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))))))) 1545212063.559 * [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))))))) 1545212063.560 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545212063.568 * [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 1545212063.568 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545212063.569 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.569 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.570 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212063.573 * [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 1545212063.573 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.574 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545212063.574 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545212063.575 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.575 * [misc]backup-simplify: Simplify 0 into 0 1545212063.575 * [misc]backup-simplify: Simplify 0 into 0 1545212063.575 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212063.576 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212063.578 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545212063.579 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.584 * [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 1545212063.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212063.584 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.585 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212063.588 * [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))))) 1545212063.592 * [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)))))))) 1545212063.595 * [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)))))))) 1545212063.598 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212063.600 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545212063.608 * [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 1545212063.609 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545212063.609 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.610 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212063.611 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545212063.615 * [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 1545212063.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.616 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545212063.617 * [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 1545212063.617 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.617 * [misc]backup-simplify: Simplify 0 into 0 1545212063.617 * [misc]backup-simplify: Simplify 0 into 0 1545212063.617 * [misc]backup-simplify: Simplify 0 into 0 1545212063.617 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.619 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212063.621 * [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 1545212063.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.631 * [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 1545212063.631 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212063.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545212063.637 * [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))))))) 1545212063.646 * [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)))))))))))))) 1545212063.650 * [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)))))))))))))) 1545212063.657 * [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)))))))))))))))))))))) 1545212063.657 * [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))))) 1545212063.657 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545212063.657 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212063.657 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212063.657 * [misc]taylor: Taking taylor expansion of k in k 1545212063.657 * [misc]backup-simplify: Simplify 0 into 0 1545212063.657 * [misc]backup-simplify: Simplify 1 into 1 1545212063.657 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.658 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212063.658 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of k in k 1545212063.658 * [misc]backup-simplify: Simplify 0 into 0 1545212063.658 * [misc]backup-simplify: Simplify 1 into 1 1545212063.658 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.658 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.658 * [misc]backup-simplify: Simplify 2 into 2 1545212063.658 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212063.658 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.658 * [misc]backup-simplify: Simplify PI into PI 1545212063.658 * [misc]taylor: Taking taylor expansion of n in k 1545212063.658 * [misc]backup-simplify: Simplify n into n 1545212063.658 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212063.658 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212063.659 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212063.659 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.659 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.659 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.659 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212063.659 * [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)))) 1545212063.659 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of k in n 1545212063.659 * [misc]backup-simplify: Simplify k into k 1545212063.659 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212063.659 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212063.659 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of k in n 1545212063.659 * [misc]backup-simplify: Simplify k into k 1545212063.659 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.659 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.659 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.659 * [misc]backup-simplify: Simplify 2 into 2 1545212063.659 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.660 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.660 * [misc]backup-simplify: Simplify PI into PI 1545212063.660 * [misc]taylor: Taking taylor expansion of n in n 1545212063.660 * [misc]backup-simplify: Simplify 0 into 0 1545212063.660 * [misc]backup-simplify: Simplify 1 into 1 1545212063.660 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.660 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.660 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.660 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.660 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212063.660 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212063.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.661 * [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))) 1545212063.662 * [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)))) 1545212063.662 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of k in n 1545212063.662 * [misc]backup-simplify: Simplify k into k 1545212063.662 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212063.662 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212063.662 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of k in n 1545212063.662 * [misc]backup-simplify: Simplify k into k 1545212063.662 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.662 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of 2 in n 1545212063.662 * [misc]backup-simplify: Simplify 2 into 2 1545212063.662 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.662 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.662 * [misc]backup-simplify: Simplify PI into PI 1545212063.662 * [misc]taylor: Taking taylor expansion of n in n 1545212063.662 * [misc]backup-simplify: Simplify 0 into 0 1545212063.662 * [misc]backup-simplify: Simplify 1 into 1 1545212063.662 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.662 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.663 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.663 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.663 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212063.663 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212063.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.664 * [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))) 1545212063.664 * [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)))) 1545212063.665 * [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)) 1545212063.665 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.665 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.665 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of k in k 1545212063.665 * [misc]backup-simplify: Simplify 0 into 0 1545212063.665 * [misc]backup-simplify: Simplify 1 into 1 1545212063.665 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.665 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212063.665 * [misc]taylor: Taking taylor expansion of 2 in k 1545212063.665 * [misc]backup-simplify: Simplify 2 into 2 1545212063.665 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.665 * [misc]backup-simplify: Simplify PI into PI 1545212063.665 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212063.666 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212063.666 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.666 * [misc]taylor: Taking taylor expansion of n in k 1545212063.666 * [misc]backup-simplify: Simplify n into n 1545212063.666 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.666 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.666 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212063.666 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212063.666 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212063.666 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545212063.667 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545212063.667 * [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)))) 1545212063.667 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212063.667 * [misc]taylor: Taking taylor expansion of k in k 1545212063.667 * [misc]backup-simplify: Simplify 0 into 0 1545212063.667 * [misc]backup-simplify: Simplify 1 into 1 1545212063.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.668 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212063.668 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545212063.668 * [misc]backup-simplify: Simplify 0 into 0 1545212063.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212063.671 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212063.671 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212063.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.672 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545212063.673 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.673 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545212063.673 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.673 * [misc]backup-simplify: Simplify 0 into 0 1545212063.673 * [misc]backup-simplify: Simplify 0 into 0 1545212063.674 * [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)))))) 1545212063.674 * [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)))))) 1545212063.675 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.679 * [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 1545212063.679 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.680 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212063.680 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.680 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.681 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545212063.685 * [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 1545212063.686 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545212063.687 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545212063.687 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.687 * [misc]backup-simplify: Simplify 0 into 0 1545212063.687 * [misc]backup-simplify: Simplify 0 into 0 1545212063.687 * [misc]backup-simplify: Simplify 0 into 0 1545212063.689 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212063.690 * [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)))))) 1545212063.690 * [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)))))) 1545212063.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212063.702 * [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 1545212063.702 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.703 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212063.703 * [misc]backup-simplify: Simplify (- 0) into 0 1545212063.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212063.704 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545212063.706 * [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 1545212063.707 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545212063.707 * [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 1545212063.707 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.707 * [misc]backup-simplify: Simplify 0 into 0 1545212063.707 * [misc]backup-simplify: Simplify 0 into 0 1545212063.707 * [misc]backup-simplify: Simplify 0 into 0 1545212063.707 * [misc]backup-simplify: Simplify 0 into 0 1545212063.708 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212063.709 * [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)))))) 1545212063.709 * [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)))))) 1545212063.711 * [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)))))))) 1545212063.711 * [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))) 1545212063.711 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545212063.711 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of k in k 1545212063.711 * [misc]backup-simplify: Simplify 0 into 0 1545212063.711 * [misc]backup-simplify: Simplify 1 into 1 1545212063.711 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.711 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of -2 in k 1545212063.711 * [misc]backup-simplify: Simplify -2 into -2 1545212063.711 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212063.711 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.711 * [misc]backup-simplify: Simplify PI into PI 1545212063.711 * [misc]taylor: Taking taylor expansion of n in k 1545212063.712 * [misc]backup-simplify: Simplify n into n 1545212063.712 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212063.712 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212063.712 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212063.712 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.712 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.712 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212063.712 * [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))) 1545212063.712 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212063.712 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212063.712 * [misc]taylor: Taking taylor expansion of -1 in k 1545212063.712 * [misc]backup-simplify: Simplify -1 into -1 1545212063.712 * [misc]taylor: Taking taylor expansion of k in k 1545212063.712 * [misc]backup-simplify: Simplify 0 into 0 1545212063.712 * [misc]backup-simplify: Simplify 1 into 1 1545212063.712 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212063.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.713 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212063.713 * [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)))) 1545212063.713 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of k in n 1545212063.713 * [misc]backup-simplify: Simplify k into k 1545212063.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.713 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.713 * [misc]backup-simplify: Simplify -2 into -2 1545212063.713 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.713 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.713 * [misc]backup-simplify: Simplify PI into PI 1545212063.713 * [misc]taylor: Taking taylor expansion of n in n 1545212063.713 * [misc]backup-simplify: Simplify 0 into 0 1545212063.713 * [misc]backup-simplify: Simplify 1 into 1 1545212063.713 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.714 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.714 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.714 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.714 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212063.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.715 * [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))) 1545212063.715 * [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)))) 1545212063.715 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212063.715 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212063.715 * [misc]taylor: Taking taylor expansion of -1 in n 1545212063.715 * [misc]backup-simplify: Simplify -1 into -1 1545212063.715 * [misc]taylor: Taking taylor expansion of k in n 1545212063.715 * [misc]backup-simplify: Simplify k into k 1545212063.715 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212063.715 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212063.716 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212063.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212063.716 * [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))) 1545212063.716 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of k in n 1545212063.716 * [misc]backup-simplify: Simplify k into k 1545212063.716 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212063.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212063.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.716 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of -2 in n 1545212063.716 * [misc]backup-simplify: Simplify -2 into -2 1545212063.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212063.716 * [misc]taylor: Taking taylor expansion of PI in n 1545212063.716 * [misc]backup-simplify: Simplify PI into PI 1545212063.716 * [misc]taylor: Taking taylor expansion of n in n 1545212063.716 * [misc]backup-simplify: Simplify 0 into 0 1545212063.716 * [misc]backup-simplify: Simplify 1 into 1 1545212063.717 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212063.717 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.717 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212063.717 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212063.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.718 * [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))) 1545212063.718 * [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)))) 1545212063.718 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212063.718 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212063.718 * [misc]taylor: Taking taylor expansion of -1 in n 1545212063.718 * [misc]backup-simplify: Simplify -1 into -1 1545212063.718 * [misc]taylor: Taking taylor expansion of k in n 1545212063.718 * [misc]backup-simplify: Simplify k into k 1545212063.719 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212063.719 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212063.719 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212063.719 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212063.719 * [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))) 1545212063.719 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212063.719 * [misc]taylor: Taking taylor expansion of k in k 1545212063.719 * [misc]backup-simplify: Simplify 0 into 0 1545212063.719 * [misc]backup-simplify: Simplify 1 into 1 1545212063.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212063.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212063.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212063.720 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545212063.720 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545212063.720 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545212063.720 * [misc]taylor: Taking taylor expansion of -2 in k 1545212063.720 * [misc]backup-simplify: Simplify -2 into -2 1545212063.720 * [misc]taylor: Taking taylor expansion of PI in k 1545212063.720 * [misc]backup-simplify: Simplify PI into PI 1545212063.720 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212063.720 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212063.720 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212063.720 * [misc]taylor: Taking taylor expansion of n in k 1545212063.720 * [misc]backup-simplify: Simplify n into n 1545212063.720 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212063.720 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212063.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212063.721 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212063.721 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545212063.721 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545212063.722 * [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)))) 1545212063.722 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212063.722 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212063.722 * [misc]taylor: Taking taylor expansion of -1 in k 1545212063.722 * [misc]backup-simplify: Simplify -1 into -1 1545212063.722 * [misc]taylor: Taking taylor expansion of k in k 1545212063.722 * [misc]backup-simplify: Simplify 0 into 0 1545212063.722 * [misc]backup-simplify: Simplify 1 into 1 1545212063.722 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212063.722 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212063.722 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212063.723 * [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))))) 1545212063.723 * [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))))) 1545212063.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212063.724 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212063.726 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545212063.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212063.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212063.726 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.726 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.727 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545212063.728 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212063.728 * [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 1545212063.728 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.728 * [misc]backup-simplify: Simplify 0 into 0 1545212063.728 * [misc]backup-simplify: Simplify 0 into 0 1545212063.729 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212063.729 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212063.730 * [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)))))) 1545212063.731 * [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)))))) 1545212063.732 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212063.738 * [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 1545212063.738 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212063.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212063.740 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212063.741 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545212063.743 * [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 1545212063.743 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212063.744 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545212063.745 * [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 1545212063.745 * [misc]taylor: Taking taylor expansion of 0 in k 1545212063.745 * [misc]backup-simplify: Simplify 0 into 0 1545212063.745 * [misc]backup-simplify: Simplify 0 into 0 1545212063.745 * [misc]backup-simplify: Simplify 0 into 0 1545212063.746 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212063.747 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212063.749 * [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)))))) 1545212063.750 * [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)))))) 1545212063.752 * [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))))))))))) 1545212063.753 * * * [misc]progress: simplifying candidates 1545212063.753 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1545212063.753 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545212063.753 * * [misc]simplify: iters left: 6 (11 enodes) 1545212063.757 * * [misc]simplify: iters left: 5 (21 enodes) 1545212063.764 * * [misc]simplify: iters left: 4 (47 enodes) 1545212063.782 * * [misc]simplify: iters left: 3 (109 enodes) 1545212063.813 * * [misc]simplify: iters left: 2 (300 enodes) 1545212064.053 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545212064.053 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545212064.053 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1545212064.053 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1545212064.053 * [enter]simplify: Simplifying (* PI (* n 2)) 1545212064.053 * * [misc]simplify: iters left: 4 (5 enodes) 1545212064.055 * * [misc]simplify: iters left: 3 (9 enodes) 1545212064.056 * * [misc]simplify: iters left: 2 (15 enodes) 1545212064.058 * * [misc]simplify: iters left: 1 (17 enodes) 1545212064.061 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545212064.061 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545212064.061 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1545212064.061 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545212064.061 * * [misc]simplify: iters left: 5 (8 enodes) 1545212064.062 * * [misc]simplify: iters left: 4 (12 enodes) 1545212064.064 * * [misc]simplify: iters left: 3 (18 enodes) 1545212064.067 * * [misc]simplify: iters left: 2 (20 enodes) 1545212064.069 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545212064.069 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545212064.069 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1545212064.070 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212064.070 * * [misc]simplify: iters left: 5 (6 enodes) 1545212064.071 * * [misc]simplify: iters left: 4 (8 enodes) 1545212064.072 * * [misc]simplify: iters left: 3 (11 enodes) 1545212064.073 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212064.073 * [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))) 1545212064.073 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1545212064.074 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212064.074 * * [misc]simplify: iters left: 5 (6 enodes) 1545212064.075 * * [misc]simplify: iters left: 4 (8 enodes) 1545212064.076 * * [misc]simplify: iters left: 3 (11 enodes) 1545212064.078 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212064.078 * [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))) 1545212064.078 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1545212064.078 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212064.078 * * [misc]simplify: iters left: 4 (5 enodes) 1545212064.079 * * [misc]simplify: iters left: 3 (7 enodes) 1545212064.080 * * [misc]simplify: iters left: 2 (10 enodes) 1545212064.081 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212064.081 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545212064.081 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1545212064.082 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212064.082 * * [misc]simplify: iters left: 5 (9 enodes) 1545212064.083 * * [misc]simplify: iters left: 4 (15 enodes) 1545212064.085 * * [misc]simplify: iters left: 3 (21 enodes) 1545212064.088 * * [misc]simplify: iters left: 2 (22 enodes) 1545212064.091 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212064.091 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545212064.091 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1545212064.091 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212064.092 * * [misc]simplify: iters left: 5 (9 enodes) 1545212064.094 * * [misc]simplify: iters left: 4 (15 enodes) 1545212064.099 * * [misc]simplify: iters left: 3 (21 enodes) 1545212064.102 * * [misc]simplify: iters left: 2 (22 enodes) 1545212064.107 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212064.107 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545212064.107 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1545212064.107 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545212064.107 * * [misc]simplify: iters left: 5 (7 enodes) 1545212064.108 * * [misc]simplify: iters left: 4 (9 enodes) 1545212064.110 * * [misc]simplify: iters left: 3 (12 enodes) 1545212064.111 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545212064.111 * [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))) 1545212064.111 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1545212064.112 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1545212064.112 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545212064.112 * * [misc]simplify: iters left: 6 (14 enodes) 1545212064.115 * * [misc]simplify: iters left: 5 (26 enodes) 1545212064.119 * * [misc]simplify: iters left: 4 (53 enodes) 1545212064.132 * * [misc]simplify: iters left: 3 (137 enodes) 1545212064.219 * * [misc]simplify: iters left: 2 (487 enodes) 1545212064.858 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545212064.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545212064.858 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1545212064.858 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545212064.858 * * [misc]simplify: iters left: 6 (14 enodes) 1545212064.861 * * [misc]simplify: iters left: 5 (26 enodes) 1545212064.865 * * [misc]simplify: iters left: 4 (53 enodes) 1545212064.875 * * [misc]simplify: iters left: 3 (137 enodes) 1545212064.945 * * [misc]simplify: iters left: 2 (487 enodes) 1545212065.503 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545212065.503 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545212065.503 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1545212065.504 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545212065.504 * * [misc]simplify: iters left: 6 (14 enodes) 1545212065.506 * * [misc]simplify: iters left: 5 (24 enodes) 1545212065.510 * * [misc]simplify: iters left: 4 (42 enodes) 1545212065.517 * * [misc]simplify: iters left: 3 (71 enodes) 1545212065.548 * * [misc]simplify: iters left: 2 (208 enodes) 1545212065.738 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545212065.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545212065.738 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1545212065.738 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1545212065.738 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1545212065.738 * [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))) 1545212065.738 * * [misc]simplify: iters left: 6 (16 enodes) 1545212065.741 * * [misc]simplify: iters left: 5 (31 enodes) 1545212065.746 * * [misc]simplify: iters left: 4 (67 enodes) 1545212065.761 * * [misc]simplify: iters left: 3 (124 enodes) 1545212065.809 * * [misc]simplify: iters left: 2 (195 enodes) 1545212065.864 * * [misc]simplify: iters left: 1 (309 enodes) 1545212066.066 * [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)))) 1545212066.067 * [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)))))) 1545212066.067 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1545212066.067 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1545212066.067 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1545212066.067 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1545212066.067 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1545212066.067 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.067 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.071 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.077 * * [misc]simplify: iters left: 4 (25 enodes) 1545212066.083 * * [misc]simplify: iters left: 3 (26 enodes) 1545212066.090 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.090 * [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))))) 1545212066.091 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545212066.091 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.094 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.100 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.106 * * [misc]simplify: iters left: 3 (25 enodes) 1545212066.113 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545212066.113 * [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))))) 1545212066.113 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1545212066.113 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545212066.113 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.117 * * [misc]simplify: iters left: 5 (16 enodes) 1545212066.121 * * [misc]simplify: iters left: 4 (22 enodes) 1545212066.127 * * [misc]simplify: iters left: 3 (24 enodes) 1545212066.133 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545212066.133 * [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))))) 1545212066.133 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545212066.133 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.135 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.137 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.142 * * [misc]simplify: iters left: 3 (25 enodes) 1545212066.145 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545212066.145 * [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))))) 1545212066.145 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1545212066.145 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545212066.146 * * [misc]simplify: iters left: 6 (9 enodes) 1545212066.147 * * [misc]simplify: iters left: 5 (16 enodes) 1545212066.150 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.153 * * [misc]simplify: iters left: 3 (26 enodes) 1545212066.156 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545212066.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545212066.156 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545212066.156 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.157 * * [misc]simplify: iters left: 5 (17 enodes) 1545212066.160 * * [misc]simplify: iters left: 4 (23 enodes) 1545212066.163 * * [misc]simplify: iters left: 3 (24 enodes) 1545212066.166 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545212066.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545212066.166 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1545212066.167 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.167 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.170 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.175 * * [misc]simplify: iters left: 4 (25 enodes) 1545212066.182 * * [misc]simplify: iters left: 3 (26 enodes) 1545212066.189 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.189 * [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))))) 1545212066.189 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545212066.189 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.193 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.198 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.204 * * [misc]simplify: iters left: 3 (25 enodes) 1545212066.211 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545212066.211 * [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))))) 1545212066.211 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1545212066.211 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545212066.211 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.215 * * [misc]simplify: iters left: 5 (16 enodes) 1545212066.219 * * [misc]simplify: iters left: 4 (22 enodes) 1545212066.224 * * [misc]simplify: iters left: 3 (24 enodes) 1545212066.230 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545212066.230 * [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))))) 1545212066.230 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545212066.230 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.234 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.238 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.244 * * [misc]simplify: iters left: 3 (25 enodes) 1545212066.250 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545212066.250 * [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))))) 1545212066.250 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1545212066.250 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545212066.250 * * [misc]simplify: iters left: 6 (9 enodes) 1545212066.253 * * [misc]simplify: iters left: 5 (16 enodes) 1545212066.258 * * [misc]simplify: iters left: 4 (24 enodes) 1545212066.263 * * [misc]simplify: iters left: 3 (26 enodes) 1545212066.270 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545212066.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545212066.271 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545212066.271 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.274 * * [misc]simplify: iters left: 5 (17 enodes) 1545212066.279 * * [misc]simplify: iters left: 4 (23 enodes) 1545212066.285 * * [misc]simplify: iters left: 3 (24 enodes) 1545212066.291 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545212066.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545212066.291 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1545212066.292 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.292 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.295 * * [misc]simplify: iters left: 5 (15 enodes) 1545212066.300 * * [misc]simplify: iters left: 4 (18 enodes) 1545212066.305 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.305 * [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))))) 1545212066.305 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545212066.305 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.309 * * [misc]simplify: iters left: 5 (14 enodes) 1545212066.313 * * [misc]simplify: iters left: 4 (17 enodes) 1545212066.317 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545212066.317 * [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))))) 1545212066.317 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1545212066.318 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.318 * * [misc]simplify: iters left: 6 (10 enodes) 1545212066.320 * * [misc]simplify: iters left: 5 (12 enodes) 1545212066.322 * * [misc]simplify: iters left: 4 (15 enodes) 1545212066.324 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.324 * [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))))) 1545212066.324 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.324 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.326 * * [misc]simplify: iters left: 5 (14 enodes) 1545212066.328 * * [misc]simplify: iters left: 4 (17 enodes) 1545212066.330 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.330 * [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))))) 1545212066.330 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1545212066.330 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545212066.330 * * [misc]simplify: iters left: 6 (9 enodes) 1545212066.332 * * [misc]simplify: iters left: 5 (13 enodes) 1545212066.334 * * [misc]simplify: iters left: 4 (18 enodes) 1545212066.336 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545212066.336 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545212066.336 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545212066.336 * * [misc]simplify: iters left: 6 (10 enodes) 1545212066.338 * * [misc]simplify: iters left: 5 (13 enodes) 1545212066.340 * * [misc]simplify: iters left: 4 (16 enodes) 1545212066.342 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545212066.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545212066.342 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1545212066.342 * [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)))) 1545212066.342 * * [misc]simplify: iters left: 6 (16 enodes) 1545212066.345 * * [misc]simplify: iters left: 5 (28 enodes) 1545212066.349 * * [misc]simplify: iters left: 4 (46 enodes) 1545212066.360 * * [misc]simplify: iters left: 3 (50 enodes) 1545212066.373 * * [misc]simplify: iters left: 2 (53 enodes) 1545212066.387 * [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)))) 1545212066.387 * [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))))) 1545212066.387 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545212066.387 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.393 * * [misc]simplify: iters left: 5 (20 enodes) 1545212066.399 * * [misc]simplify: iters left: 4 (29 enodes) 1545212066.406 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.414 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545212066.414 * [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))))) 1545212066.414 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1545212066.415 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212066.415 * * [misc]simplify: iters left: 6 (15 enodes) 1545212066.420 * * [misc]simplify: iters left: 5 (23 enodes) 1545212066.427 * * [misc]simplify: iters left: 4 (34 enodes) 1545212066.434 * * [misc]simplify: iters left: 3 (37 enodes) 1545212066.440 * [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)))))) 1545212066.440 * [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))))) 1545212066.440 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.440 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.442 * * [misc]simplify: iters left: 5 (20 enodes) 1545212066.445 * * [misc]simplify: iters left: 4 (29 enodes) 1545212066.449 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.453 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.453 * [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))))) 1545212066.453 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1545212066.453 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545212066.453 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.455 * * [misc]simplify: iters left: 5 (24 enodes) 1545212066.460 * * [misc]simplify: iters left: 4 (39 enodes) 1545212066.470 * * [misc]simplify: iters left: 3 (54 enodes) 1545212066.484 * * [misc]simplify: iters left: 2 (80 enodes) 1545212066.506 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545212066.506 * [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)))) 1545212066.506 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545212066.506 * * [misc]simplify: iters left: 6 (13 enodes) 1545212066.510 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.516 * * [misc]simplify: iters left: 4 (28 enodes) 1545212066.525 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.533 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545212066.533 * [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)))) 1545212066.533 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1545212066.533 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.533 * * [misc]simplify: iters left: 6 (15 enodes) 1545212066.538 * * [misc]simplify: iters left: 5 (23 enodes) 1545212066.545 * * [misc]simplify: iters left: 4 (32 enodes) 1545212066.554 * * [misc]simplify: iters left: 3 (34 enodes) 1545212066.563 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.563 * [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))))) 1545212066.563 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545212066.563 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.568 * * [misc]simplify: iters left: 5 (20 enodes) 1545212066.573 * * [misc]simplify: iters left: 4 (29 enodes) 1545212066.578 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.582 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545212066.582 * [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))))) 1545212066.582 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1545212066.582 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.582 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.584 * * [misc]simplify: iters left: 5 (20 enodes) 1545212066.587 * * [misc]simplify: iters left: 4 (29 enodes) 1545212066.591 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.595 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.595 * [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))))) 1545212066.595 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.595 * * [misc]simplify: iters left: 6 (14 enodes) 1545212066.597 * * [misc]simplify: iters left: 5 (20 enodes) 1545212066.600 * * [misc]simplify: iters left: 4 (29 enodes) 1545212066.606 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.613 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212066.613 * [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))))) 1545212066.613 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1545212066.614 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545212066.614 * * [misc]simplify: iters left: 6 (13 enodes) 1545212066.618 * * [misc]simplify: iters left: 5 (21 enodes) 1545212066.625 * * [misc]simplify: iters left: 4 (32 enodes) 1545212066.633 * * [misc]simplify: iters left: 3 (33 enodes) 1545212066.641 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545212066.641 * [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)))) 1545212066.641 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545212066.641 * * [misc]simplify: iters left: 6 (13 enodes) 1545212066.646 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.652 * * [misc]simplify: iters left: 4 (28 enodes) 1545212066.656 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545212066.660 * [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)))) 1545212066.660 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1545212066.660 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212066.660 * * [misc]simplify: iters left: 6 (6 enodes) 1545212066.661 * * [misc]simplify: iters left: 5 (10 enodes) 1545212066.663 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545212066.663 * [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))))) 1545212066.663 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545212066.663 * * [misc]simplify: iters left: 6 (13 enodes) 1545212066.665 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.668 * * [misc]simplify: iters left: 4 (28 enodes) 1545212066.672 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.676 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545212066.676 * [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))))) 1545212066.676 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1545212066.676 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545212066.676 * * [misc]simplify: iters left: 4 (5 enodes) 1545212066.677 * * [misc]simplify: iters left: 3 (7 enodes) 1545212066.678 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545212066.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545212066.678 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.678 * * [misc]simplify: iters left: 6 (13 enodes) 1545212066.680 * * [misc]simplify: iters left: 5 (19 enodes) 1545212066.683 * * [misc]simplify: iters left: 4 (28 enodes) 1545212066.690 * * [misc]simplify: iters left: 3 (30 enodes) 1545212066.698 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212066.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545212066.698 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1545212066.698 * [enter]simplify: Simplifying (/ 1 1) 1545212066.698 * * [misc]simplify: iters left: 2 (2 enodes) 1545212066.699 * * [misc]simplify: iters left: 1 (4 enodes) 1545212066.700 * [exit]simplify: Simplified to 1 1545212066.700 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545212066.700 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545212066.700 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.704 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.709 * * [misc]simplify: iters left: 4 (27 enodes) 1545212066.716 * * [misc]simplify: iters left: 3 (29 enodes) 1545212066.723 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545212066.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545212066.723 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1545212066.723 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1545212066.724 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1545212066.724 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1545212066.724 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545212066.724 * * [misc]simplify: iters left: 2 (3 enodes) 1545212066.725 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545212066.725 * [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)))) 1545212066.725 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1545212066.725 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545212066.725 * * [misc]simplify: iters left: 2 (3 enodes) 1545212066.726 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212066.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545212066.726 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1545212066.726 * [enter]simplify: Simplifying (sqrt k) 1545212066.726 * * [misc]simplify: iters left: 1 (2 enodes) 1545212066.727 * [exit]simplify: Simplified to (sqrt k) 1545212066.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545212066.727 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1545212066.727 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545212066.727 * * [misc]simplify: iters left: 5 (7 enodes) 1545212066.729 * * [misc]simplify: iters left: 4 (12 enodes) 1545212066.733 * * [misc]simplify: iters left: 3 (18 enodes) 1545212066.737 * * [misc]simplify: iters left: 2 (20 enodes) 1545212066.742 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545212066.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545212066.742 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1545212066.742 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545212066.743 * * [misc]simplify: iters left: 5 (7 enodes) 1545212066.745 * * [misc]simplify: iters left: 4 (12 enodes) 1545212066.748 * * [misc]simplify: iters left: 3 (18 enodes) 1545212066.753 * * [misc]simplify: iters left: 2 (20 enodes) 1545212066.756 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545212066.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545212066.757 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1545212066.757 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545212066.757 * * [misc]simplify: iters left: 5 (7 enodes) 1545212066.758 * * [misc]simplify: iters left: 4 (9 enodes) 1545212066.759 * * [misc]simplify: iters left: 3 (12 enodes) 1545212066.761 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545212066.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212066.761 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1545212066.761 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212066.761 * * [misc]simplify: iters left: 6 (12 enodes) 1545212066.764 * * [misc]simplify: iters left: 5 (18 enodes) 1545212066.766 * * [misc]simplify: iters left: 4 (27 enodes) 1545212066.770 * * [misc]simplify: iters left: 3 (29 enodes) 1545212066.774 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545212066.774 * [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))))))) 1545212066.774 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1545212066.774 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212066.774 * * [misc]simplify: iters left: 6 (11 enodes) 1545212066.776 * * [misc]simplify: iters left: 5 (17 enodes) 1545212066.778 * * [misc]simplify: iters left: 4 (26 enodes) 1545212066.782 * * [misc]simplify: iters left: 3 (27 enodes) 1545212066.785 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545212066.785 * [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))))))) 1545212066.785 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1545212066.785 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1545212066.785 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545212066.785 * * [misc]simplify: iters left: 5 (7 enodes) 1545212066.787 * * [misc]simplify: iters left: 4 (12 enodes) 1545212066.788 * * [misc]simplify: iters left: 3 (18 enodes) 1545212066.791 * * [misc]simplify: iters left: 2 (20 enodes) 1545212066.793 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545212066.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545212066.793 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1545212066.793 * [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))))) 1545212066.794 * * [misc]simplify: iters left: 6 (37 enodes) 1545212066.802 * * [misc]simplify: iters left: 5 (105 enodes) 1545212066.833 * * [misc]simplify: iters left: 4 (339 enodes) 1545212067.046 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545212067.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1545212067.046 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1545212067.046 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545212067.046 * * [misc]simplify: iters left: 6 (15 enodes) 1545212067.053 * * [misc]simplify: iters left: 5 (33 enodes) 1545212067.064 * * [misc]simplify: iters left: 4 (64 enodes) 1545212067.092 * * [misc]simplify: iters left: 3 (171 enodes) 1545212067.172 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545212067.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1545212067.172 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1545212067.172 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545212067.172 * * [misc]simplify: iters left: 6 (15 enodes) 1545212067.179 * * [misc]simplify: iters left: 5 (30 enodes) 1545212067.191 * * [misc]simplify: iters left: 4 (65 enodes) 1545212067.218 * * [misc]simplify: iters left: 3 (200 enodes) 1545212067.323 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545212067.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545212067.324 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1545212067.324 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212067.324 * * [misc]simplify: iters left: 4 (5 enodes) 1545212067.325 * * [misc]simplify: iters left: 3 (9 enodes) 1545212067.326 * * [misc]simplify: iters left: 2 (15 enodes) 1545212067.328 * * [misc]simplify: iters left: 1 (17 enodes) 1545212067.330 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212067.330 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545212067.330 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1545212067.330 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212067.330 * * [misc]simplify: iters left: 4 (5 enodes) 1545212067.331 * * [misc]simplify: iters left: 3 (9 enodes) 1545212067.333 * * [misc]simplify: iters left: 2 (15 enodes) 1545212067.335 * * [misc]simplify: iters left: 1 (17 enodes) 1545212067.337 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212067.337 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545212067.337 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1545212067.337 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212067.337 * * [misc]simplify: iters left: 4 (5 enodes) 1545212067.338 * * [misc]simplify: iters left: 3 (9 enodes) 1545212067.339 * * [misc]simplify: iters left: 2 (15 enodes) 1545212067.341 * * [misc]simplify: iters left: 1 (17 enodes) 1545212067.343 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212067.343 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545212067.343 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1545212067.344 * [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)))))))))))))))))))))) 1545212067.344 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212067.344 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1545212067.344 * [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)))))))) 1545212067.344 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212067.344 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1545212067.344 * [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))))))))))) 1545212067.344 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212067.344 * * * [misc]progress: adding candidates to table 1545212068.381 * * [misc]progress: iteration 2 / 4 1545212068.381 * * * [misc]progress: picking best candidate 1545212068.428 * * * * [misc]pick: Picked # 1545212068.428 * * * [misc]progress: localizing error 1545212068.440 * * * [misc]progress: generating rewritten candidates 1545212068.440 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545212068.444 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1545212068.446 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545212068.454 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545212068.463 * * * [misc]progress: generating series expansions 1545212068.463 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545212068.463 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545212068.463 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545212068.463 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212068.463 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212068.463 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212068.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.464 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.464 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.464 * [misc]taylor: Taking taylor expansion of k in k 1545212068.464 * [misc]backup-simplify: Simplify 0 into 0 1545212068.464 * [misc]backup-simplify: Simplify 1 into 1 1545212068.464 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212068.464 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212068.464 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.464 * [misc]backup-simplify: Simplify 2 into 2 1545212068.464 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212068.464 * [misc]taylor: Taking taylor expansion of n in k 1545212068.464 * [misc]backup-simplify: Simplify n into n 1545212068.464 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.464 * [misc]backup-simplify: Simplify PI into PI 1545212068.464 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212068.464 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212068.464 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212068.464 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.464 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.464 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.464 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212068.464 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212068.464 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212068.464 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.465 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.465 * [misc]taylor: Taking taylor expansion of k in n 1545212068.465 * [misc]backup-simplify: Simplify k into k 1545212068.465 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.465 * [misc]backup-simplify: Simplify 2 into 2 1545212068.465 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.465 * [misc]taylor: Taking taylor expansion of n in n 1545212068.465 * [misc]backup-simplify: Simplify 0 into 0 1545212068.465 * [misc]backup-simplify: Simplify 1 into 1 1545212068.465 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.465 * [misc]backup-simplify: Simplify PI into PI 1545212068.465 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.465 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.466 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.466 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.466 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.466 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212068.466 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212068.466 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212068.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.467 * [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)))) 1545212068.468 * [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))))) 1545212068.468 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.468 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.468 * [misc]taylor: Taking taylor expansion of k in n 1545212068.468 * [misc]backup-simplify: Simplify k into k 1545212068.468 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.468 * [misc]backup-simplify: Simplify 2 into 2 1545212068.468 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.468 * [misc]taylor: Taking taylor expansion of n in n 1545212068.468 * [misc]backup-simplify: Simplify 0 into 0 1545212068.468 * [misc]backup-simplify: Simplify 1 into 1 1545212068.468 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.468 * [misc]backup-simplify: Simplify PI into PI 1545212068.468 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.468 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.471 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.472 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.472 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212068.472 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212068.472 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212068.472 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.472 * [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)))) 1545212068.473 * [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))))) 1545212068.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.473 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.473 * [misc]taylor: Taking taylor expansion of k in k 1545212068.473 * [misc]backup-simplify: Simplify 0 into 0 1545212068.473 * [misc]backup-simplify: Simplify 1 into 1 1545212068.473 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of n in k 1545212068.473 * [misc]backup-simplify: Simplify n into n 1545212068.473 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212068.473 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212068.473 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.473 * [misc]backup-simplify: Simplify 2 into 2 1545212068.473 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.473 * [misc]backup-simplify: Simplify PI into PI 1545212068.473 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.474 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.474 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.474 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.474 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.474 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.475 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545212068.475 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545212068.475 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545212068.476 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212068.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545212068.479 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.479 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.480 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545212068.481 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.481 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.481 * [misc]backup-simplify: Simplify 0 into 0 1545212068.481 * [misc]backup-simplify: Simplify 0 into 0 1545212068.481 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545212068.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212068.483 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.483 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212068.484 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.484 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545212068.485 * [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))))))) 1545212068.486 * [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))))))) 1545212068.487 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.488 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545212068.491 * [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 1545212068.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545212068.491 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.491 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.492 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212068.494 * [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 1545212068.494 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.494 * [misc]backup-simplify: Simplify 0 into 0 1545212068.494 * [misc]backup-simplify: Simplify 0 into 0 1545212068.494 * [misc]backup-simplify: Simplify 0 into 0 1545212068.495 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545212068.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.498 * [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 1545212068.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212068.498 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.499 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.499 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545212068.500 * [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))))) 1545212068.502 * [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))))) 1545212068.505 * [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))))) 1545212068.505 * [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)))) 1545212068.505 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545212068.505 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.505 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.505 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of k in k 1545212068.505 * [misc]backup-simplify: Simplify 0 into 0 1545212068.505 * [misc]backup-simplify: Simplify 1 into 1 1545212068.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.505 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.505 * [misc]backup-simplify: Simplify 2 into 2 1545212068.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.505 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.505 * [misc]backup-simplify: Simplify PI into PI 1545212068.505 * [misc]taylor: Taking taylor expansion of n in k 1545212068.505 * [misc]backup-simplify: Simplify n into n 1545212068.505 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.506 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212068.506 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212068.506 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.506 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.506 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.506 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212068.506 * [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)))) 1545212068.506 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.506 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.506 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of k in n 1545212068.506 * [misc]backup-simplify: Simplify k into k 1545212068.506 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.506 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.506 * [misc]backup-simplify: Simplify 2 into 2 1545212068.506 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.506 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.506 * [misc]backup-simplify: Simplify PI into PI 1545212068.506 * [misc]taylor: Taking taylor expansion of n in n 1545212068.506 * [misc]backup-simplify: Simplify 0 into 0 1545212068.506 * [misc]backup-simplify: Simplify 1 into 1 1545212068.507 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.507 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.507 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.507 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.507 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.507 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.508 * [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))) 1545212068.509 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545212068.509 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of k in n 1545212068.509 * [misc]backup-simplify: Simplify k into k 1545212068.509 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.509 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.509 * [misc]backup-simplify: Simplify 2 into 2 1545212068.509 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.509 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.509 * [misc]backup-simplify: Simplify PI into PI 1545212068.509 * [misc]taylor: Taking taylor expansion of n in n 1545212068.509 * [misc]backup-simplify: Simplify 0 into 0 1545212068.509 * [misc]backup-simplify: Simplify 1 into 1 1545212068.509 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.510 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.510 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.510 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.511 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.511 * [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))) 1545212068.511 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545212068.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545212068.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545212068.511 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.511 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of k in k 1545212068.512 * [misc]backup-simplify: Simplify 0 into 0 1545212068.512 * [misc]backup-simplify: Simplify 1 into 1 1545212068.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.512 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.512 * [misc]backup-simplify: Simplify 2 into 2 1545212068.512 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.512 * [misc]backup-simplify: Simplify PI into PI 1545212068.512 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.512 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.512 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212068.512 * [misc]taylor: Taking taylor expansion of n in k 1545212068.512 * [misc]backup-simplify: Simplify n into n 1545212068.512 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212068.512 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.513 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.513 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.513 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212068.513 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545212068.513 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545212068.514 * [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)))) 1545212068.514 * [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)))) 1545212068.515 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.515 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212068.517 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.517 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.518 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545212068.519 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.519 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.519 * [misc]backup-simplify: Simplify 0 into 0 1545212068.519 * [misc]backup-simplify: Simplify 0 into 0 1545212068.519 * [misc]backup-simplify: Simplify 0 into 0 1545212068.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.521 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.524 * [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 1545212068.524 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212068.524 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212068.524 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.525 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.525 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545212068.527 * [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 1545212068.527 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.527 * [misc]backup-simplify: Simplify 0 into 0 1545212068.527 * [misc]backup-simplify: Simplify 0 into 0 1545212068.527 * [misc]backup-simplify: Simplify 0 into 0 1545212068.527 * [misc]backup-simplify: Simplify 0 into 0 1545212068.528 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.533 * [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 1545212068.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212068.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212068.534 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.535 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545212068.537 * [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 1545212068.537 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.537 * [misc]backup-simplify: Simplify 0 into 0 1545212068.537 * [misc]backup-simplify: Simplify 0 into 0 1545212068.537 * [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))))) 1545212068.537 * [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)) 1545212068.538 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545212068.538 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of k in k 1545212068.538 * [misc]backup-simplify: Simplify 0 into 0 1545212068.538 * [misc]backup-simplify: Simplify 1 into 1 1545212068.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.538 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.538 * [misc]backup-simplify: Simplify -2 into -2 1545212068.538 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.538 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.538 * [misc]backup-simplify: Simplify PI into PI 1545212068.538 * [misc]taylor: Taking taylor expansion of n in k 1545212068.538 * [misc]backup-simplify: Simplify n into n 1545212068.538 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.538 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212068.538 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212068.538 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.538 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.538 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212068.539 * [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))) 1545212068.539 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of k in n 1545212068.539 * [misc]backup-simplify: Simplify k into k 1545212068.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.539 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.539 * [misc]backup-simplify: Simplify -2 into -2 1545212068.539 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.539 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.539 * [misc]backup-simplify: Simplify PI into PI 1545212068.539 * [misc]taylor: Taking taylor expansion of n in n 1545212068.539 * [misc]backup-simplify: Simplify 0 into 0 1545212068.539 * [misc]backup-simplify: Simplify 1 into 1 1545212068.539 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.539 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.540 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.540 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.541 * [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))) 1545212068.541 * [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)))) 1545212068.541 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of k in n 1545212068.541 * [misc]backup-simplify: Simplify k into k 1545212068.541 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.541 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.541 * [misc]backup-simplify: Simplify -2 into -2 1545212068.541 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.541 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.541 * [misc]backup-simplify: Simplify PI into PI 1545212068.542 * [misc]taylor: Taking taylor expansion of n in n 1545212068.542 * [misc]backup-simplify: Simplify 0 into 0 1545212068.542 * [misc]backup-simplify: Simplify 1 into 1 1545212068.542 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.542 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.542 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.542 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.542 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.543 * [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))) 1545212068.544 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545212068.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of k in k 1545212068.544 * [misc]backup-simplify: Simplify 0 into 0 1545212068.544 * [misc]backup-simplify: Simplify 1 into 1 1545212068.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.544 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545212068.544 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.544 * [misc]backup-simplify: Simplify -2 into -2 1545212068.544 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.544 * [misc]backup-simplify: Simplify PI into PI 1545212068.544 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.545 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.545 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212068.545 * [misc]taylor: Taking taylor expansion of n in k 1545212068.545 * [misc]backup-simplify: Simplify n into n 1545212068.545 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212068.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.545 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212068.545 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545212068.546 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545212068.546 * [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)))) 1545212068.546 * [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)))) 1545212068.547 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.547 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212068.549 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545212068.549 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.550 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.550 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545212068.551 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.551 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.551 * [misc]backup-simplify: Simplify 0 into 0 1545212068.551 * [misc]backup-simplify: Simplify 0 into 0 1545212068.551 * [misc]backup-simplify: Simplify 0 into 0 1545212068.552 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.553 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.556 * [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 1545212068.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212068.556 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212068.556 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.557 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545212068.558 * [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 1545212068.558 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.558 * [misc]backup-simplify: Simplify 0 into 0 1545212068.558 * [misc]backup-simplify: Simplify 0 into 0 1545212068.559 * [misc]backup-simplify: Simplify 0 into 0 1545212068.559 * [misc]backup-simplify: Simplify 0 into 0 1545212068.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.560 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.565 * [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 1545212068.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212068.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212068.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.566 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.567 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545212068.569 * [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 1545212068.569 * [misc]taylor: Taking taylor expansion of 0 in k 1545212068.569 * [misc]backup-simplify: Simplify 0 into 0 1545212068.569 * [misc]backup-simplify: Simplify 0 into 0 1545212068.570 * [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))))) 1545212068.570 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1545212068.570 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545212068.570 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545212068.570 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.570 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.570 * [misc]backup-simplify: Simplify 2 into 2 1545212068.570 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.570 * [misc]taylor: Taking taylor expansion of n in n 1545212068.570 * [misc]backup-simplify: Simplify 0 into 0 1545212068.570 * [misc]backup-simplify: Simplify 1 into 1 1545212068.570 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.570 * [misc]backup-simplify: Simplify PI into PI 1545212068.570 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.570 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.570 * [misc]backup-simplify: Simplify 2 into 2 1545212068.570 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.570 * [misc]taylor: Taking taylor expansion of n in n 1545212068.570 * [misc]backup-simplify: Simplify 0 into 0 1545212068.570 * [misc]backup-simplify: Simplify 1 into 1 1545212068.570 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.570 * [misc]backup-simplify: Simplify PI into PI 1545212068.571 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.571 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.571 * [misc]backup-simplify: Simplify 0 into 0 1545212068.571 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.572 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.573 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212068.574 * [misc]backup-simplify: Simplify 0 into 0 1545212068.575 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.576 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545212068.576 * [misc]backup-simplify: Simplify 0 into 0 1545212068.577 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212068.578 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545212068.578 * [misc]backup-simplify: Simplify 0 into 0 1545212068.580 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212068.583 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545212068.583 * [misc]backup-simplify: Simplify 0 into 0 1545212068.586 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212068.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545212068.590 * [misc]backup-simplify: Simplify 0 into 0 1545212068.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545212068.598 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545212068.598 * [misc]backup-simplify: Simplify 0 into 0 1545212068.598 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545212068.599 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545212068.599 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545212068.599 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.599 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.599 * [misc]backup-simplify: Simplify 2 into 2 1545212068.599 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.599 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.599 * [misc]backup-simplify: Simplify PI into PI 1545212068.599 * [misc]taylor: Taking taylor expansion of n in n 1545212068.599 * [misc]backup-simplify: Simplify 0 into 0 1545212068.599 * [misc]backup-simplify: Simplify 1 into 1 1545212068.599 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.599 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.599 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.599 * [misc]backup-simplify: Simplify 2 into 2 1545212068.599 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.599 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.599 * [misc]backup-simplify: Simplify PI into PI 1545212068.599 * [misc]taylor: Taking taylor expansion of n in n 1545212068.600 * [misc]backup-simplify: Simplify 0 into 0 1545212068.600 * [misc]backup-simplify: Simplify 1 into 1 1545212068.600 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.600 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.600 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212068.602 * [misc]backup-simplify: Simplify 0 into 0 1545212068.603 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.604 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.604 * [misc]backup-simplify: Simplify 0 into 0 1545212068.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.608 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.608 * [misc]backup-simplify: Simplify 0 into 0 1545212068.610 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.612 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212068.612 * [misc]backup-simplify: Simplify 0 into 0 1545212068.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.617 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212068.617 * [misc]backup-simplify: Simplify 0 into 0 1545212068.619 * [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 1545212068.623 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212068.623 * [misc]backup-simplify: Simplify 0 into 0 1545212068.623 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545212068.623 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545212068.623 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545212068.623 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.623 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.624 * [misc]backup-simplify: Simplify -2 into -2 1545212068.624 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.624 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.624 * [misc]backup-simplify: Simplify PI into PI 1545212068.624 * [misc]taylor: Taking taylor expansion of n in n 1545212068.624 * [misc]backup-simplify: Simplify 0 into 0 1545212068.624 * [misc]backup-simplify: Simplify 1 into 1 1545212068.624 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.624 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.624 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.624 * [misc]backup-simplify: Simplify -2 into -2 1545212068.624 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.624 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.624 * [misc]backup-simplify: Simplify PI into PI 1545212068.624 * [misc]taylor: Taking taylor expansion of n in n 1545212068.624 * [misc]backup-simplify: Simplify 0 into 0 1545212068.624 * [misc]backup-simplify: Simplify 1 into 1 1545212068.625 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.625 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.625 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.626 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.627 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212068.627 * [misc]backup-simplify: Simplify 0 into 0 1545212068.628 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.629 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.629 * [misc]backup-simplify: Simplify 0 into 0 1545212068.631 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.633 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.633 * [misc]backup-simplify: Simplify 0 into 0 1545212068.635 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.637 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545212068.637 * [misc]backup-simplify: Simplify 0 into 0 1545212068.639 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.642 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545212068.642 * [misc]backup-simplify: Simplify 0 into 0 1545212068.644 * [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 1545212068.647 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545212068.648 * [misc]backup-simplify: Simplify 0 into 0 1545212068.648 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545212068.648 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545212068.648 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545212068.648 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545212068.648 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545212068.648 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545212068.648 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212068.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.649 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.649 * [misc]taylor: Taking taylor expansion of k in n 1545212068.649 * [misc]backup-simplify: Simplify k into k 1545212068.649 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.649 * [misc]backup-simplify: Simplify 2 into 2 1545212068.649 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.649 * [misc]taylor: Taking taylor expansion of n in n 1545212068.649 * [misc]backup-simplify: Simplify 0 into 0 1545212068.649 * [misc]backup-simplify: Simplify 1 into 1 1545212068.649 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.649 * [misc]backup-simplify: Simplify PI into PI 1545212068.650 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.650 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.650 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.651 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.651 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.652 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212068.652 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212068.652 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212068.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.653 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1545212068.654 * [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))))) 1545212068.654 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1545212068.654 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212068.654 * [misc]taylor: Taking taylor expansion of k in n 1545212068.654 * [misc]backup-simplify: Simplify k into k 1545212068.654 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212068.654 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212068.654 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.655 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.655 * [misc]taylor: Taking taylor expansion of k in k 1545212068.655 * [misc]backup-simplify: Simplify 0 into 0 1545212068.655 * [misc]backup-simplify: Simplify 1 into 1 1545212068.655 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.655 * [misc]backup-simplify: Simplify 2 into 2 1545212068.655 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212068.655 * [misc]taylor: Taking taylor expansion of n in k 1545212068.655 * [misc]backup-simplify: Simplify n into n 1545212068.655 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.655 * [misc]backup-simplify: Simplify PI into PI 1545212068.655 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212068.655 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212068.655 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212068.656 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.656 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.656 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.656 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212068.656 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212068.656 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545212068.656 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212068.656 * [misc]taylor: Taking taylor expansion of k in k 1545212068.656 * [misc]backup-simplify: Simplify 0 into 0 1545212068.656 * [misc]backup-simplify: Simplify 1 into 1 1545212068.657 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.657 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.657 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.657 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.657 * [misc]taylor: Taking taylor expansion of k in k 1545212068.657 * [misc]backup-simplify: Simplify 0 into 0 1545212068.657 * [misc]backup-simplify: Simplify 1 into 1 1545212068.657 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212068.657 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212068.658 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.658 * [misc]backup-simplify: Simplify 2 into 2 1545212068.658 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212068.658 * [misc]taylor: Taking taylor expansion of n in k 1545212068.658 * [misc]backup-simplify: Simplify n into n 1545212068.658 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.658 * [misc]backup-simplify: Simplify PI into PI 1545212068.658 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212068.658 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212068.658 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212068.658 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.658 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.658 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.659 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212068.659 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212068.659 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545212068.659 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212068.659 * [misc]taylor: Taking taylor expansion of k in k 1545212068.659 * [misc]backup-simplify: Simplify 0 into 0 1545212068.659 * [misc]backup-simplify: Simplify 1 into 1 1545212068.659 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.660 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.660 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1545212068.660 * [misc]taylor: Taking taylor expansion of 0 in n 1545212068.660 * [misc]backup-simplify: Simplify 0 into 0 1545212068.660 * [misc]backup-simplify: Simplify 0 into 0 1545212068.660 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545212068.661 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545212068.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545212068.662 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212068.662 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.662 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545212068.663 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545212068.663 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1545212068.665 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1545212068.665 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.665 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.665 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.665 * [misc]taylor: Taking taylor expansion of n in n 1545212068.665 * [misc]backup-simplify: Simplify 0 into 0 1545212068.665 * [misc]backup-simplify: Simplify 1 into 1 1545212068.665 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.665 * [misc]backup-simplify: Simplify PI into PI 1545212068.665 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.666 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.666 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545212068.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.667 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545212068.667 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212068.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.667 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212068.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212068.669 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.669 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212068.671 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.672 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.673 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.673 * [misc]backup-simplify: Simplify 0 into 0 1545212068.674 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.675 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.675 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545212068.677 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1545212068.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212068.678 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545212068.679 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545212068.681 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1545212068.683 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1545212068.683 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.683 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.683 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.683 * [misc]backup-simplify: Simplify 2 into 2 1545212068.683 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.683 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.683 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.683 * [misc]backup-simplify: Simplify 2 into 2 1545212068.683 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.683 * [misc]taylor: Taking taylor expansion of n in n 1545212068.683 * [misc]backup-simplify: Simplify 0 into 0 1545212068.683 * [misc]backup-simplify: Simplify 1 into 1 1545212068.683 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.683 * [misc]backup-simplify: Simplify PI into PI 1545212068.684 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.684 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.684 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.685 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.685 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.685 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545212068.685 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212068.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.685 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212068.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212068.685 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545212068.685 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545212068.685 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.685 * [misc]taylor: Taking taylor expansion of n in n 1545212068.685 * [misc]backup-simplify: Simplify 0 into 0 1545212068.685 * [misc]backup-simplify: Simplify 1 into 1 1545212068.685 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.685 * [misc]backup-simplify: Simplify PI into PI 1545212068.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.686 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545212068.686 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.687 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545212068.687 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.687 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.687 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.687 * [misc]taylor: Taking taylor expansion of n in n 1545212068.687 * [misc]backup-simplify: Simplify 0 into 0 1545212068.687 * [misc]backup-simplify: Simplify 1 into 1 1545212068.687 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.687 * [misc]backup-simplify: Simplify PI into PI 1545212068.687 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.688 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545212068.688 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.688 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545212068.688 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212068.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.688 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212068.688 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212068.689 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.689 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545212068.690 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1545212068.690 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1545212068.691 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.691 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545212068.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.692 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212068.694 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.695 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545212068.695 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1545212068.696 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545212068.697 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1545212068.700 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545212068.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.701 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212068.702 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.702 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545212068.706 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545212068.710 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545212068.714 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545212068.715 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545212068.715 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545212068.717 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545212068.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545212068.721 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545212068.722 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545212068.723 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545212068.729 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545212068.729 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545212068.729 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545212068.729 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of k in n 1545212068.729 * [misc]backup-simplify: Simplify k into k 1545212068.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.729 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.729 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.729 * [misc]backup-simplify: Simplify 2 into 2 1545212068.729 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.730 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.730 * [misc]backup-simplify: Simplify PI into PI 1545212068.730 * [misc]taylor: Taking taylor expansion of n in n 1545212068.730 * [misc]backup-simplify: Simplify 0 into 0 1545212068.730 * [misc]backup-simplify: Simplify 1 into 1 1545212068.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.730 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.730 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.730 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.730 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.730 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.731 * [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))) 1545212068.732 * [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)))) 1545212068.732 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.732 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212068.732 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.732 * [misc]taylor: Taking taylor expansion of k in n 1545212068.732 * [misc]backup-simplify: Simplify k into k 1545212068.732 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.732 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212068.732 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.732 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212068.732 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.733 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.733 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.733 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.733 * [misc]taylor: Taking taylor expansion of k in k 1545212068.733 * [misc]backup-simplify: Simplify 0 into 0 1545212068.733 * [misc]backup-simplify: Simplify 1 into 1 1545212068.733 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.733 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212068.733 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212068.733 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.733 * [misc]backup-simplify: Simplify 2 into 2 1545212068.733 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.733 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.733 * [misc]backup-simplify: Simplify PI into PI 1545212068.733 * [misc]taylor: Taking taylor expansion of n in k 1545212068.733 * [misc]backup-simplify: Simplify n into n 1545212068.733 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.733 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212068.733 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212068.733 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.733 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.733 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.733 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212068.734 * [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)))) 1545212068.734 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545212068.734 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of k in k 1545212068.734 * [misc]backup-simplify: Simplify 0 into 0 1545212068.734 * [misc]backup-simplify: Simplify 1 into 1 1545212068.734 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.734 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.734 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.734 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.734 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.734 * [misc]taylor: Taking taylor expansion of k in k 1545212068.734 * [misc]backup-simplify: Simplify 0 into 0 1545212068.734 * [misc]backup-simplify: Simplify 1 into 1 1545212068.735 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.735 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212068.735 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212068.735 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.735 * [misc]backup-simplify: Simplify 2 into 2 1545212068.735 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.735 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.735 * [misc]backup-simplify: Simplify PI into PI 1545212068.735 * [misc]taylor: Taking taylor expansion of n in k 1545212068.735 * [misc]backup-simplify: Simplify n into n 1545212068.735 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.735 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212068.735 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212068.735 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.735 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.735 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.735 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212068.735 * [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)))) 1545212068.736 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545212068.736 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212068.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.736 * [misc]taylor: Taking taylor expansion of k in k 1545212068.736 * [misc]backup-simplify: Simplify 0 into 0 1545212068.736 * [misc]backup-simplify: Simplify 1 into 1 1545212068.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.736 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.737 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.737 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545212068.737 * [misc]taylor: Taking taylor expansion of 0 in n 1545212068.737 * [misc]backup-simplify: Simplify 0 into 0 1545212068.737 * [misc]backup-simplify: Simplify 0 into 0 1545212068.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212068.738 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212068.738 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.738 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.738 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.738 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.738 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.738 * [misc]taylor: Taking taylor expansion of k in n 1545212068.738 * [misc]backup-simplify: Simplify k into k 1545212068.738 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.738 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.739 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.739 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.739 * [misc]backup-simplify: Simplify 2 into 2 1545212068.739 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.739 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.739 * [misc]backup-simplify: Simplify PI into PI 1545212068.739 * [misc]taylor: Taking taylor expansion of n in n 1545212068.739 * [misc]backup-simplify: Simplify 0 into 0 1545212068.739 * [misc]backup-simplify: Simplify 1 into 1 1545212068.739 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.739 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.740 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.740 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.740 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.742 * [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))) 1545212068.742 * [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)))) 1545212068.743 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.744 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.744 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.745 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.745 * [misc]backup-simplify: Simplify 0 into 0 1545212068.745 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212068.746 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.747 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212068.747 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212068.747 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212068.747 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.747 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.748 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.748 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.748 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of k in n 1545212068.748 * [misc]backup-simplify: Simplify k into k 1545212068.748 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.748 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.748 * [misc]backup-simplify: Simplify 2 into 2 1545212068.748 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.748 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.748 * [misc]backup-simplify: Simplify PI into PI 1545212068.748 * [misc]taylor: Taking taylor expansion of n in n 1545212068.748 * [misc]backup-simplify: Simplify 0 into 0 1545212068.748 * [misc]backup-simplify: Simplify 1 into 1 1545212068.748 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.749 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.749 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.749 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.749 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.749 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.751 * [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))) 1545212068.751 * [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)))) 1545212068.752 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.753 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.753 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.754 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.755 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212068.759 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.759 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.760 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545212068.761 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.762 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545212068.763 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545212068.763 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.763 * [misc]backup-simplify: Simplify 0 into 0 1545212068.763 * [misc]backup-simplify: Simplify 0 into 0 1545212068.763 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.764 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212068.764 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212068.764 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212068.764 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.765 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.765 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of k in n 1545212068.765 * [misc]backup-simplify: Simplify k into k 1545212068.765 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.765 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.765 * [misc]backup-simplify: Simplify 2 into 2 1545212068.765 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.765 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.765 * [misc]backup-simplify: Simplify PI into PI 1545212068.765 * [misc]taylor: Taking taylor expansion of n in n 1545212068.765 * [misc]backup-simplify: Simplify 0 into 0 1545212068.765 * [misc]backup-simplify: Simplify 1 into 1 1545212068.765 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.765 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.766 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.766 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.766 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.766 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.767 * [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))) 1545212068.767 * [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)))) 1545212068.767 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.768 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545212068.768 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.769 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545212068.770 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545212068.771 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212068.771 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545212068.771 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of -1 in n 1545212068.771 * [misc]backup-simplify: Simplify -1 into -1 1545212068.771 * [misc]taylor: Taking taylor expansion of k in n 1545212068.771 * [misc]backup-simplify: Simplify k into k 1545212068.771 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212068.771 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212068.771 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212068.771 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212068.771 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of k in n 1545212068.771 * [misc]backup-simplify: Simplify k into k 1545212068.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.771 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.771 * [misc]backup-simplify: Simplify -2 into -2 1545212068.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.771 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.771 * [misc]backup-simplify: Simplify PI into PI 1545212068.771 * [misc]taylor: Taking taylor expansion of n in n 1545212068.771 * [misc]backup-simplify: Simplify 0 into 0 1545212068.771 * [misc]backup-simplify: Simplify 1 into 1 1545212068.772 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.772 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.772 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.772 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.772 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.773 * [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))) 1545212068.773 * [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)))) 1545212068.774 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545212068.774 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212068.774 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212068.774 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212068.774 * [misc]taylor: Taking taylor expansion of -1 in k 1545212068.774 * [misc]backup-simplify: Simplify -1 into -1 1545212068.774 * [misc]taylor: Taking taylor expansion of k in k 1545212068.774 * [misc]backup-simplify: Simplify 0 into 0 1545212068.774 * [misc]backup-simplify: Simplify 1 into 1 1545212068.774 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212068.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.775 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212068.775 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of k in k 1545212068.775 * [misc]backup-simplify: Simplify 0 into 0 1545212068.775 * [misc]backup-simplify: Simplify 1 into 1 1545212068.775 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.775 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.775 * [misc]backup-simplify: Simplify -2 into -2 1545212068.775 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.775 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.775 * [misc]backup-simplify: Simplify PI into PI 1545212068.775 * [misc]taylor: Taking taylor expansion of n in k 1545212068.775 * [misc]backup-simplify: Simplify n into n 1545212068.775 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.775 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212068.775 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212068.775 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.775 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.775 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212068.776 * [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))) 1545212068.776 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212068.776 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of -1 in k 1545212068.776 * [misc]backup-simplify: Simplify -1 into -1 1545212068.776 * [misc]taylor: Taking taylor expansion of k in k 1545212068.776 * [misc]backup-simplify: Simplify 0 into 0 1545212068.776 * [misc]backup-simplify: Simplify 1 into 1 1545212068.776 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212068.776 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.776 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212068.776 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.777 * [misc]taylor: Taking taylor expansion of k in k 1545212068.777 * [misc]backup-simplify: Simplify 0 into 0 1545212068.777 * [misc]backup-simplify: Simplify 1 into 1 1545212068.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.777 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212068.777 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212068.777 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.777 * [misc]backup-simplify: Simplify -2 into -2 1545212068.777 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.777 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.777 * [misc]backup-simplify: Simplify PI into PI 1545212068.777 * [misc]taylor: Taking taylor expansion of n in k 1545212068.777 * [misc]backup-simplify: Simplify n into n 1545212068.777 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.777 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212068.777 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212068.777 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.777 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.777 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212068.777 * [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))) 1545212068.778 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212068.778 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.778 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.778 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.778 * [misc]backup-simplify: Simplify -2 into -2 1545212068.778 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.778 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.778 * [misc]backup-simplify: Simplify PI into PI 1545212068.778 * [misc]taylor: Taking taylor expansion of n in n 1545212068.778 * [misc]backup-simplify: Simplify 0 into 0 1545212068.778 * [misc]backup-simplify: Simplify 1 into 1 1545212068.778 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.778 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.779 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.779 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.779 * [misc]taylor: Taking taylor expansion of k in n 1545212068.779 * [misc]backup-simplify: Simplify k into k 1545212068.779 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.779 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.779 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.780 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.780 * [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)))) 1545212068.781 * [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))))) 1545212068.781 * [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))))) 1545212068.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212068.782 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.782 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545212068.783 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.783 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.783 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.783 * [misc]backup-simplify: Simplify -2 into -2 1545212068.783 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.783 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.783 * [misc]backup-simplify: Simplify PI into PI 1545212068.783 * [misc]taylor: Taking taylor expansion of n in n 1545212068.783 * [misc]backup-simplify: Simplify 0 into 0 1545212068.783 * [misc]backup-simplify: Simplify 1 into 1 1545212068.783 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.783 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.783 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.784 * [misc]taylor: Taking taylor expansion of k in n 1545212068.784 * [misc]backup-simplify: Simplify k into k 1545212068.784 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.784 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.784 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.784 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.785 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.785 * [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)))) 1545212068.785 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545212068.786 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545212068.786 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545212068.787 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545212068.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.787 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.788 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.788 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212068.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545212068.793 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545212068.795 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.797 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1545212068.797 * [misc]backup-simplify: Simplify 0 into 0 1545212068.798 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.799 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212068.800 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545212068.801 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.801 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.801 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.801 * [misc]backup-simplify: Simplify -2 into -2 1545212068.801 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.801 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.801 * [misc]backup-simplify: Simplify PI into PI 1545212068.801 * [misc]taylor: Taking taylor expansion of n in n 1545212068.801 * [misc]backup-simplify: Simplify 0 into 0 1545212068.801 * [misc]backup-simplify: Simplify 1 into 1 1545212068.801 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.802 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.802 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.802 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.802 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.802 * [misc]taylor: Taking taylor expansion of k in n 1545212068.802 * [misc]backup-simplify: Simplify k into k 1545212068.802 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.803 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.803 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.803 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.803 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.804 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.805 * [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)))) 1545212068.805 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545212068.806 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545212068.807 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545212068.807 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545212068.810 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545212068.810 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545212068.811 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545212068.811 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1545212068.811 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of k in n 1545212068.811 * [misc]backup-simplify: Simplify k into k 1545212068.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.811 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212068.811 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212068.811 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.811 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.811 * [misc]taylor: Taking taylor expansion of k in n 1545212068.811 * [misc]backup-simplify: Simplify k into k 1545212068.811 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.811 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.812 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.812 * [misc]backup-simplify: Simplify 2 into 2 1545212068.812 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.812 * [misc]taylor: Taking taylor expansion of n in n 1545212068.812 * [misc]backup-simplify: Simplify 0 into 0 1545212068.812 * [misc]backup-simplify: Simplify 1 into 1 1545212068.812 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.812 * [misc]backup-simplify: Simplify PI into PI 1545212068.812 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.812 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.814 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.814 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.814 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212068.814 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212068.814 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212068.815 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.816 * [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)))) 1545212068.816 * [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))))) 1545212068.816 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545212068.816 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212068.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.816 * [misc]taylor: Taking taylor expansion of k in k 1545212068.816 * [misc]backup-simplify: Simplify 0 into 0 1545212068.816 * [misc]backup-simplify: Simplify 1 into 1 1545212068.817 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.817 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.817 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.817 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212068.817 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212068.817 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212068.817 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.817 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.817 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.817 * [misc]taylor: Taking taylor expansion of k in k 1545212068.817 * [misc]backup-simplify: Simplify 0 into 0 1545212068.818 * [misc]backup-simplify: Simplify 1 into 1 1545212068.818 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212068.818 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212068.818 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.818 * [misc]backup-simplify: Simplify 2 into 2 1545212068.818 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212068.818 * [misc]taylor: Taking taylor expansion of n in k 1545212068.818 * [misc]backup-simplify: Simplify n into n 1545212068.818 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.818 * [misc]backup-simplify: Simplify PI into PI 1545212068.818 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212068.818 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212068.818 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212068.818 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.818 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.818 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.819 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212068.819 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212068.819 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545212068.819 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212068.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.819 * [misc]taylor: Taking taylor expansion of k in k 1545212068.819 * [misc]backup-simplify: Simplify 0 into 0 1545212068.819 * [misc]backup-simplify: Simplify 1 into 1 1545212068.819 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.819 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.820 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.820 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.820 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.820 * [misc]taylor: Taking taylor expansion of k in k 1545212068.820 * [misc]backup-simplify: Simplify 0 into 0 1545212068.820 * [misc]backup-simplify: Simplify 1 into 1 1545212068.820 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.820 * [misc]backup-simplify: Simplify 2 into 2 1545212068.820 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545212068.820 * [misc]taylor: Taking taylor expansion of n in k 1545212068.820 * [misc]backup-simplify: Simplify n into n 1545212068.820 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.820 * [misc]backup-simplify: Simplify PI into PI 1545212068.820 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545212068.820 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545212068.821 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545212068.821 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212068.821 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.821 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.821 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545212068.821 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545212068.821 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1545212068.821 * [misc]taylor: Taking taylor expansion of 0 in n 1545212068.822 * [misc]backup-simplify: Simplify 0 into 0 1545212068.822 * [misc]backup-simplify: Simplify 0 into 0 1545212068.822 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545212068.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545212068.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545212068.823 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212068.823 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.824 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.824 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545212068.824 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545212068.825 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545212068.825 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.825 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.825 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.825 * [misc]backup-simplify: Simplify 2 into 2 1545212068.825 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.825 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.825 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.825 * [misc]taylor: Taking taylor expansion of n in n 1545212068.825 * [misc]backup-simplify: Simplify 0 into 0 1545212068.825 * [misc]backup-simplify: Simplify 1 into 1 1545212068.825 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.825 * [misc]backup-simplify: Simplify PI into PI 1545212068.826 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.826 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.826 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.827 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.827 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212068.827 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.827 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.827 * [misc]backup-simplify: Simplify 0 into 0 1545212068.828 * [misc]backup-simplify: Simplify 0 into 0 1545212068.828 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545212068.829 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545212068.830 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1545212068.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212068.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.831 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545212068.833 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545212068.833 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212068.834 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.835 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1545212068.835 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.835 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.835 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.835 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.835 * [misc]backup-simplify: Simplify 2 into 2 1545212068.835 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.836 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.836 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.836 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.836 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.836 * [misc]backup-simplify: Simplify 2 into 2 1545212068.836 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.836 * [misc]taylor: Taking taylor expansion of n in n 1545212068.836 * [misc]backup-simplify: Simplify 0 into 0 1545212068.836 * [misc]backup-simplify: Simplify 1 into 1 1545212068.836 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.836 * [misc]backup-simplify: Simplify PI into PI 1545212068.836 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.836 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.839 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.839 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.839 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.839 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.839 * [misc]taylor: Taking taylor expansion of n in n 1545212068.839 * [misc]backup-simplify: Simplify 0 into 0 1545212068.839 * [misc]backup-simplify: Simplify 1 into 1 1545212068.839 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.839 * [misc]backup-simplify: Simplify PI into PI 1545212068.840 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.840 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.841 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.841 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545212068.841 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212068.841 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.841 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.841 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212068.841 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.841 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.841 * [misc]backup-simplify: Simplify 2 into 2 1545212068.841 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.841 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.841 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.842 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.842 * [misc]taylor: Taking taylor expansion of n in n 1545212068.842 * [misc]backup-simplify: Simplify 0 into 0 1545212068.842 * [misc]backup-simplify: Simplify 1 into 1 1545212068.842 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.842 * [misc]backup-simplify: Simplify PI into PI 1545212068.842 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.843 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.844 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.844 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545212068.845 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.845 * [misc]backup-simplify: Simplify 0 into 0 1545212068.846 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.847 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.848 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.848 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.849 * [misc]backup-simplify: Simplify 0 into 0 1545212068.849 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545212068.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1545212068.851 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1545212068.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212068.852 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1545212068.853 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1545212068.853 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.854 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212068.855 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545212068.855 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.855 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.855 * [misc]backup-simplify: Simplify 2 into 2 1545212068.855 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.855 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.855 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.855 * [misc]backup-simplify: Simplify 2 into 2 1545212068.855 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.855 * [misc]taylor: Taking taylor expansion of n in n 1545212068.855 * [misc]backup-simplify: Simplify 0 into 0 1545212068.855 * [misc]backup-simplify: Simplify 1 into 1 1545212068.855 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.855 * [misc]backup-simplify: Simplify PI into PI 1545212068.855 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.856 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.856 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.857 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.857 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.857 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.857 * [misc]taylor: Taking taylor expansion of n in n 1545212068.857 * [misc]backup-simplify: Simplify 0 into 0 1545212068.857 * [misc]backup-simplify: Simplify 1 into 1 1545212068.857 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.857 * [misc]backup-simplify: Simplify PI into PI 1545212068.857 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.857 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.858 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.858 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.858 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.858 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.858 * [misc]backup-simplify: Simplify 2 into 2 1545212068.858 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.858 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.858 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.858 * [misc]backup-simplify: Simplify 2 into 2 1545212068.858 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.858 * [misc]taylor: Taking taylor expansion of n in n 1545212068.858 * [misc]backup-simplify: Simplify 0 into 0 1545212068.858 * [misc]backup-simplify: Simplify 1 into 1 1545212068.858 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.858 * [misc]backup-simplify: Simplify PI into PI 1545212068.858 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.859 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212068.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.859 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545212068.860 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.860 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.860 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.860 * [misc]taylor: Taking taylor expansion of n in n 1545212068.860 * [misc]backup-simplify: Simplify 0 into 0 1545212068.860 * [misc]backup-simplify: Simplify 1 into 1 1545212068.860 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.860 * [misc]backup-simplify: Simplify PI into PI 1545212068.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.861 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.861 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.861 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545212068.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212068.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.861 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212068.861 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212068.861 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.861 * [misc]backup-simplify: Simplify 2 into 2 1545212068.861 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212068.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212068.862 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212068.862 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212068.862 * [misc]taylor: Taking taylor expansion of n in n 1545212068.862 * [misc]backup-simplify: Simplify 0 into 0 1545212068.862 * [misc]backup-simplify: Simplify 1 into 1 1545212068.862 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.862 * [misc]backup-simplify: Simplify PI into PI 1545212068.862 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212068.862 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212068.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.863 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212068.863 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.864 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545212068.864 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545212068.864 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.865 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.867 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1545212068.867 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1545212068.868 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1545212068.868 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.868 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.869 * [misc]backup-simplify: Simplify 0 into 0 1545212068.870 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.872 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545212068.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.875 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545212068.875 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545212068.877 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545212068.879 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545212068.880 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.882 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.884 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212068.887 * [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)))))))))) 1545212068.890 * [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))))))) 1545212068.893 * [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))))))) 1545212068.895 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212068.896 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545212068.897 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545212068.900 * [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)))) 1545212068.904 * [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)))) 1545212068.906 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212068.908 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212068.915 * [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))))))))))))) 1545212068.915 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545212068.915 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545212068.915 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.915 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212068.915 * [misc]taylor: Taking taylor expansion of k in n 1545212068.915 * [misc]backup-simplify: Simplify k into k 1545212068.915 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212068.916 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212068.916 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of k in n 1545212068.916 * [misc]backup-simplify: Simplify k into k 1545212068.916 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.916 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.916 * [misc]backup-simplify: Simplify 2 into 2 1545212068.916 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.916 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.916 * [misc]backup-simplify: Simplify PI into PI 1545212068.916 * [misc]taylor: Taking taylor expansion of n in n 1545212068.916 * [misc]backup-simplify: Simplify 0 into 0 1545212068.916 * [misc]backup-simplify: Simplify 1 into 1 1545212068.917 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.917 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.918 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.918 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.918 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.918 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.919 * [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))) 1545212068.920 * [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)))) 1545212068.920 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212068.920 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212068.920 * [misc]taylor: Taking taylor expansion of k in k 1545212068.920 * [misc]backup-simplify: Simplify 0 into 0 1545212068.920 * [misc]backup-simplify: Simplify 1 into 1 1545212068.920 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.921 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.921 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.921 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of k in k 1545212068.921 * [misc]backup-simplify: Simplify 0 into 0 1545212068.921 * [misc]backup-simplify: Simplify 1 into 1 1545212068.921 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.921 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.921 * [misc]backup-simplify: Simplify 2 into 2 1545212068.921 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.921 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.921 * [misc]backup-simplify: Simplify PI into PI 1545212068.921 * [misc]taylor: Taking taylor expansion of n in k 1545212068.921 * [misc]backup-simplify: Simplify n into n 1545212068.922 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.922 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212068.922 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212068.922 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.922 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.922 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.922 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212068.922 * [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)))) 1545212068.923 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of k in k 1545212068.923 * [misc]backup-simplify: Simplify 0 into 0 1545212068.923 * [misc]backup-simplify: Simplify 1 into 1 1545212068.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.923 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212068.923 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.923 * [misc]taylor: Taking taylor expansion of k in k 1545212068.923 * [misc]backup-simplify: Simplify 0 into 0 1545212068.924 * [misc]backup-simplify: Simplify 1 into 1 1545212068.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.924 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545212068.924 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545212068.924 * [misc]taylor: Taking taylor expansion of 2 in k 1545212068.924 * [misc]backup-simplify: Simplify 2 into 2 1545212068.924 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.924 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.924 * [misc]backup-simplify: Simplify PI into PI 1545212068.924 * [misc]taylor: Taking taylor expansion of n in k 1545212068.924 * [misc]backup-simplify: Simplify n into n 1545212068.924 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.924 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545212068.924 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545212068.924 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.924 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212068.925 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212068.925 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545212068.925 * [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)))) 1545212068.925 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545212068.925 * [misc]taylor: Taking taylor expansion of 0 in n 1545212068.925 * [misc]backup-simplify: Simplify 0 into 0 1545212068.925 * [misc]backup-simplify: Simplify 0 into 0 1545212068.925 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545212068.926 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.926 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of k in n 1545212068.926 * [misc]backup-simplify: Simplify k into k 1545212068.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.926 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.926 * [misc]backup-simplify: Simplify 2 into 2 1545212068.926 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.926 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.926 * [misc]backup-simplify: Simplify PI into PI 1545212068.926 * [misc]taylor: Taking taylor expansion of n in n 1545212068.926 * [misc]backup-simplify: Simplify 0 into 0 1545212068.926 * [misc]backup-simplify: Simplify 1 into 1 1545212068.926 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.927 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.927 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.927 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.927 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.927 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.929 * [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))) 1545212068.929 * [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)))) 1545212068.930 * [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))))) 1545212068.930 * [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)))))) 1545212068.931 * [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)))))) 1545212068.932 * [misc]backup-simplify: Simplify 0 into 0 1545212068.933 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.933 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545212068.933 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.933 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.933 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.933 * [misc]taylor: Taking taylor expansion of k in n 1545212068.933 * [misc]backup-simplify: Simplify k into k 1545212068.934 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.934 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.934 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.934 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.934 * [misc]backup-simplify: Simplify 2 into 2 1545212068.934 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.934 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.934 * [misc]backup-simplify: Simplify PI into PI 1545212068.934 * [misc]taylor: Taking taylor expansion of n in n 1545212068.934 * [misc]backup-simplify: Simplify 0 into 0 1545212068.934 * [misc]backup-simplify: Simplify 1 into 1 1545212068.934 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.934 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.935 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.935 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.935 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.935 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.936 * [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))) 1545212068.937 * [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)))) 1545212068.937 * [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))))) 1545212068.938 * [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)))))) 1545212068.939 * [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)))))) 1545212068.940 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545212068.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545212068.943 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.943 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.944 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545212068.946 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.947 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545212068.947 * [misc]backup-simplify: Simplify (- 0) into 0 1545212068.947 * [misc]backup-simplify: Simplify 0 into 0 1545212068.947 * [misc]backup-simplify: Simplify 0 into 0 1545212068.948 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212068.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545212068.948 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.949 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.949 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of k in n 1545212068.949 * [misc]backup-simplify: Simplify k into k 1545212068.949 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.949 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of 2 in n 1545212068.949 * [misc]backup-simplify: Simplify 2 into 2 1545212068.949 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.949 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.949 * [misc]backup-simplify: Simplify PI into PI 1545212068.949 * [misc]taylor: Taking taylor expansion of n in n 1545212068.949 * [misc]backup-simplify: Simplify 0 into 0 1545212068.949 * [misc]backup-simplify: Simplify 1 into 1 1545212068.949 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.950 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545212068.950 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545212068.950 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.950 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212068.950 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212068.951 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545212068.951 * [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))) 1545212068.952 * [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)))) 1545212068.953 * [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))))) 1545212068.953 * [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)))))) 1545212068.954 * [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)))))) 1545212068.956 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545212068.957 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545212068.957 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1545212068.957 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of k in n 1545212068.957 * [misc]backup-simplify: Simplify k into k 1545212068.957 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.957 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.957 * [misc]backup-simplify: Simplify -2 into -2 1545212068.957 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.957 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.957 * [misc]backup-simplify: Simplify PI into PI 1545212068.957 * [misc]taylor: Taking taylor expansion of n in n 1545212068.957 * [misc]backup-simplify: Simplify 0 into 0 1545212068.957 * [misc]backup-simplify: Simplify 1 into 1 1545212068.958 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.958 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.958 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.959 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.959 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.959 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.960 * [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))) 1545212068.960 * [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)))) 1545212068.960 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212068.960 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212068.960 * [misc]taylor: Taking taylor expansion of -1 in n 1545212068.960 * [misc]backup-simplify: Simplify -1 into -1 1545212068.960 * [misc]taylor: Taking taylor expansion of k in n 1545212068.960 * [misc]backup-simplify: Simplify k into k 1545212068.960 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212068.961 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212068.961 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212068.961 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212068.961 * [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))) 1545212068.961 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545212068.961 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of k in k 1545212068.962 * [misc]backup-simplify: Simplify 0 into 0 1545212068.962 * [misc]backup-simplify: Simplify 1 into 1 1545212068.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.962 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.962 * [misc]backup-simplify: Simplify -2 into -2 1545212068.962 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.962 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.962 * [misc]backup-simplify: Simplify PI into PI 1545212068.962 * [misc]taylor: Taking taylor expansion of n in k 1545212068.962 * [misc]backup-simplify: Simplify n into n 1545212068.962 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.962 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212068.962 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212068.963 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.963 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.963 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212068.963 * [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))) 1545212068.963 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212068.963 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212068.963 * [misc]taylor: Taking taylor expansion of -1 in k 1545212068.963 * [misc]backup-simplify: Simplify -1 into -1 1545212068.963 * [misc]taylor: Taking taylor expansion of k in k 1545212068.963 * [misc]backup-simplify: Simplify 0 into 0 1545212068.963 * [misc]backup-simplify: Simplify 1 into 1 1545212068.963 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212068.963 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.964 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212068.964 * [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)))) 1545212068.964 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212068.964 * [misc]taylor: Taking taylor expansion of k in k 1545212068.964 * [misc]backup-simplify: Simplify 0 into 0 1545212068.965 * [misc]backup-simplify: Simplify 1 into 1 1545212068.965 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212068.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212068.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.965 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545212068.965 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545212068.965 * [misc]taylor: Taking taylor expansion of -2 in k 1545212068.965 * [misc]backup-simplify: Simplify -2 into -2 1545212068.965 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545212068.965 * [misc]taylor: Taking taylor expansion of PI in k 1545212068.965 * [misc]backup-simplify: Simplify PI into PI 1545212068.965 * [misc]taylor: Taking taylor expansion of n in k 1545212068.965 * [misc]backup-simplify: Simplify n into n 1545212068.965 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545212068.965 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545212068.965 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545212068.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212068.965 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212068.966 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545212068.966 * [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))) 1545212068.966 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212068.966 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212068.966 * [misc]taylor: Taking taylor expansion of -1 in k 1545212068.966 * [misc]backup-simplify: Simplify -1 into -1 1545212068.966 * [misc]taylor: Taking taylor expansion of k in k 1545212068.966 * [misc]backup-simplify: Simplify 0 into 0 1545212068.966 * [misc]backup-simplify: Simplify 1 into 1 1545212068.966 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212068.966 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212068.967 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212068.967 * [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)))) 1545212068.967 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.967 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.967 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.967 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.967 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.967 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.967 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.967 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.968 * [misc]backup-simplify: Simplify -2 into -2 1545212068.968 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.968 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.968 * [misc]backup-simplify: Simplify PI into PI 1545212068.968 * [misc]taylor: Taking taylor expansion of n in n 1545212068.968 * [misc]backup-simplify: Simplify 0 into 0 1545212068.968 * [misc]backup-simplify: Simplify 1 into 1 1545212068.968 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.968 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.969 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.969 * [misc]taylor: Taking taylor expansion of k in n 1545212068.969 * [misc]backup-simplify: Simplify k into k 1545212068.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.970 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.970 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.970 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.971 * [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)))) 1545212068.972 * [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))))) 1545212068.972 * [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))))) 1545212068.973 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212068.974 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212068.974 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212068.974 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.975 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.975 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.975 * [misc]backup-simplify: Simplify -2 into -2 1545212068.975 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.975 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.975 * [misc]backup-simplify: Simplify PI into PI 1545212068.975 * [misc]taylor: Taking taylor expansion of n in n 1545212068.975 * [misc]backup-simplify: Simplify 0 into 0 1545212068.975 * [misc]backup-simplify: Simplify 1 into 1 1545212068.975 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.975 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.976 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.976 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.976 * [misc]taylor: Taking taylor expansion of k in n 1545212068.976 * [misc]backup-simplify: Simplify k into k 1545212068.976 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.977 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.977 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.978 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.978 * [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)))) 1545212068.979 * [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))))) 1545212068.980 * [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)))))) 1545212068.980 * [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)))))) 1545212068.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.982 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212068.982 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212068.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212068.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545212068.984 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545212068.987 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545212068.987 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545212068.990 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212068.991 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545212068.991 * [misc]backup-simplify: Simplify 0 into 0 1545212068.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212068.993 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212068.994 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212068.994 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212068.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212068.994 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of -2 in n 1545212068.994 * [misc]backup-simplify: Simplify -2 into -2 1545212068.994 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545212068.994 * [misc]taylor: Taking taylor expansion of PI in n 1545212068.994 * [misc]backup-simplify: Simplify PI into PI 1545212068.994 * [misc]taylor: Taking taylor expansion of n in n 1545212068.994 * [misc]backup-simplify: Simplify 0 into 0 1545212068.994 * [misc]backup-simplify: Simplify 1 into 1 1545212068.994 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545212068.995 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545212068.995 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545212068.995 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212068.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212068.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212068.995 * [misc]taylor: Taking taylor expansion of k in n 1545212068.995 * [misc]backup-simplify: Simplify k into k 1545212068.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212068.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212068.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212068.996 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545212068.996 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212068.996 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212068.996 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545212068.997 * [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)))) 1545212068.997 * [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))))) 1545212068.997 * [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)))))) 1545212068.998 * [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)))))) 1545212068.999 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545212069.000 * * * [misc]progress: simplifying candidates 1545212069.000 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1545212069.000 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545212069.000 * * [misc]simplify: iters left: 6 (11 enodes) 1545212069.002 * * [misc]simplify: iters left: 5 (21 enodes) 1545212069.006 * * [misc]simplify: iters left: 4 (47 enodes) 1545212069.014 * * [misc]simplify: iters left: 3 (109 enodes) 1545212069.065 * * [misc]simplify: iters left: 2 (300 enodes) 1545212069.275 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545212069.275 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1545212069.275 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1545212069.275 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1545212069.276 * [enter]simplify: Simplifying (* PI (* n 2)) 1545212069.276 * * [misc]simplify: iters left: 4 (5 enodes) 1545212069.277 * * [misc]simplify: iters left: 3 (9 enodes) 1545212069.280 * * [misc]simplify: iters left: 2 (15 enodes) 1545212069.284 * * [misc]simplify: iters left: 1 (17 enodes) 1545212069.288 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545212069.288 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1545212069.288 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1545212069.288 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545212069.288 * * [misc]simplify: iters left: 5 (8 enodes) 1545212069.291 * * [misc]simplify: iters left: 4 (12 enodes) 1545212069.294 * * [misc]simplify: iters left: 3 (18 enodes) 1545212069.299 * * [misc]simplify: iters left: 2 (20 enodes) 1545212069.304 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545212069.304 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1545212069.304 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1545212069.305 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212069.305 * * [misc]simplify: iters left: 5 (6 enodes) 1545212069.307 * * [misc]simplify: iters left: 4 (8 enodes) 1545212069.309 * * [misc]simplify: iters left: 3 (11 enodes) 1545212069.312 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212069.312 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545212069.312 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1545212069.312 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212069.313 * * [misc]simplify: iters left: 5 (6 enodes) 1545212069.314 * * [misc]simplify: iters left: 4 (8 enodes) 1545212069.316 * * [misc]simplify: iters left: 3 (11 enodes) 1545212069.319 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212069.319 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545212069.319 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1545212069.320 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212069.320 * * [misc]simplify: iters left: 4 (5 enodes) 1545212069.321 * * [misc]simplify: iters left: 3 (7 enodes) 1545212069.323 * * [misc]simplify: iters left: 2 (10 enodes) 1545212069.326 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212069.326 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1545212069.326 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1545212069.326 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212069.326 * * [misc]simplify: iters left: 5 (9 enodes) 1545212069.329 * * [misc]simplify: iters left: 4 (15 enodes) 1545212069.333 * * [misc]simplify: iters left: 3 (21 enodes) 1545212069.339 * * [misc]simplify: iters left: 2 (22 enodes) 1545212069.344 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212069.344 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212069.344 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1545212069.344 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212069.344 * * [misc]simplify: iters left: 5 (9 enodes) 1545212069.347 * * [misc]simplify: iters left: 4 (15 enodes) 1545212069.351 * * [misc]simplify: iters left: 3 (21 enodes) 1545212069.356 * * [misc]simplify: iters left: 2 (22 enodes) 1545212069.359 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212069.359 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212069.359 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1545212069.359 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545212069.359 * * [misc]simplify: iters left: 5 (7 enodes) 1545212069.360 * * [misc]simplify: iters left: 4 (9 enodes) 1545212069.361 * * [misc]simplify: iters left: 3 (12 enodes) 1545212069.363 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545212069.363 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212069.363 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1545212069.363 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1545212069.364 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1545212069.364 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545212069.364 * * [misc]simplify: iters left: 6 (14 enodes) 1545212069.366 * * [misc]simplify: iters left: 5 (26 enodes) 1545212069.371 * * [misc]simplify: iters left: 4 (59 enodes) 1545212069.383 * * [misc]simplify: iters left: 3 (164 enodes) 1545212069.455 * * [misc]simplify: iters left: 2 (488 enodes) 1545212069.825 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545212069.825 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545212069.825 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1545212069.825 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545212069.825 * * [misc]simplify: iters left: 6 (14 enodes) 1545212069.828 * * [misc]simplify: iters left: 5 (26 enodes) 1545212069.832 * * [misc]simplify: iters left: 4 (59 enodes) 1545212069.848 * * [misc]simplify: iters left: 3 (164 enodes) 1545212069.908 * * [misc]simplify: iters left: 2 (488 enodes) 1545212070.207 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545212070.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545212070.207 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1545212070.207 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212070.207 * * [misc]simplify: iters left: 6 (14 enodes) 1545212070.209 * * [misc]simplify: iters left: 5 (24 enodes) 1545212070.216 * * [misc]simplify: iters left: 4 (46 enodes) 1545212070.224 * * [misc]simplify: iters left: 3 (103 enodes) 1545212070.259 * * [misc]simplify: iters left: 2 (336 enodes) 1545212070.528 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545212070.528 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545212070.528 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1545212070.528 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1545212070.529 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1545212070.529 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212070.529 * * [misc]simplify: iters left: 6 (16 enodes) 1545212070.534 * * [misc]simplify: iters left: 5 (31 enodes) 1545212070.548 * * [misc]simplify: iters left: 4 (70 enodes) 1545212070.571 * * [misc]simplify: iters left: 3 (130 enodes) 1545212070.598 * * [misc]simplify: iters left: 2 (206 enodes) 1545212070.692 * * [misc]simplify: iters left: 1 (288 enodes) 1545212070.856 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1545212070.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1545212070.856 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1545212070.856 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1545212070.856 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1545212070.856 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1545212070.856 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1545212070.856 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545212070.857 * * [misc]simplify: iters left: 6 (12 enodes) 1545212070.860 * * [misc]simplify: iters left: 5 (19 enodes) 1545212070.866 * * [misc]simplify: iters left: 4 (27 enodes) 1545212070.874 * * [misc]simplify: iters left: 3 (29 enodes) 1545212070.881 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545212070.881 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212070.882 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212070.882 * * [misc]simplify: iters left: 6 (12 enodes) 1545212070.886 * * [misc]simplify: iters left: 5 (18 enodes) 1545212070.893 * * [misc]simplify: iters left: 4 (24 enodes) 1545212070.899 * * [misc]simplify: iters left: 3 (25 enodes) 1545212070.906 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212070.906 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212070.906 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1545212070.906 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545212070.906 * * [misc]simplify: iters left: 6 (12 enodes) 1545212070.910 * * [misc]simplify: iters left: 5 (19 enodes) 1545212070.916 * * [misc]simplify: iters left: 4 (27 enodes) 1545212070.923 * * [misc]simplify: iters left: 3 (29 enodes) 1545212070.931 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545212070.931 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212070.931 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212070.931 * * [misc]simplify: iters left: 6 (12 enodes) 1545212070.935 * * [misc]simplify: iters left: 5 (18 enodes) 1545212070.941 * * [misc]simplify: iters left: 4 (24 enodes) 1545212070.947 * * [misc]simplify: iters left: 3 (25 enodes) 1545212070.954 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212070.954 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212070.954 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1545212070.954 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545212070.955 * * [misc]simplify: iters left: 6 (11 enodes) 1545212070.958 * * [misc]simplify: iters left: 5 (15 enodes) 1545212070.963 * * [misc]simplify: iters left: 4 (20 enodes) 1545212070.969 * * [misc]simplify: iters left: 3 (21 enodes) 1545212070.975 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545212070.975 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212070.975 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212070.975 * * [misc]simplify: iters left: 6 (11 enodes) 1545212070.979 * * [misc]simplify: iters left: 5 (14 enodes) 1545212070.983 * * [misc]simplify: iters left: 4 (17 enodes) 1545212070.988 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212070.988 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212070.988 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1545212070.988 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545212070.988 * * [misc]simplify: iters left: 6 (16 enodes) 1545212070.994 * * [misc]simplify: iters left: 5 (28 enodes) 1545212071.003 * * [misc]simplify: iters left: 4 (46 enodes) 1545212071.016 * * [misc]simplify: iters left: 3 (50 enodes) 1545212071.028 * * [misc]simplify: iters left: 2 (53 enodes) 1545212071.042 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545212071.042 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.042 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.042 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.047 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.053 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.061 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.068 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.069 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545212071.069 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1545212071.069 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.069 * * [misc]simplify: iters left: 6 (15 enodes) 1545212071.074 * * [misc]simplify: iters left: 5 (23 enodes) 1545212071.081 * * [misc]simplify: iters left: 4 (34 enodes) 1545212071.090 * * [misc]simplify: iters left: 3 (36 enodes) 1545212071.099 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.100 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.100 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.100 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.104 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.110 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.118 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.125 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.125 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545212071.125 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1545212071.126 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545212071.126 * * [misc]simplify: iters left: 6 (6 enodes) 1545212071.128 * * [misc]simplify: iters left: 5 (10 enodes) 1545212071.131 * * [misc]simplify: iters left: 4 (16 enodes) 1545212071.135 * * [misc]simplify: iters left: 3 (18 enodes) 1545212071.139 * * [misc]simplify: iters left: 2 (23 enodes) 1545212071.144 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212071.144 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545212071.145 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.145 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.148 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.151 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.154 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.158 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545212071.158 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.158 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1545212071.159 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545212071.159 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.160 * * [misc]simplify: iters left: 5 (16 enodes) 1545212071.162 * * [misc]simplify: iters left: 4 (22 enodes) 1545212071.165 * * [misc]simplify: iters left: 3 (23 enodes) 1545212071.168 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545212071.168 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212071.168 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.168 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.170 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.173 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.177 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.180 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212071.181 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1545212071.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545212071.181 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.184 * * [misc]simplify: iters left: 5 (16 enodes) 1545212071.189 * * [misc]simplify: iters left: 4 (22 enodes) 1545212071.195 * * [misc]simplify: iters left: 3 (23 enodes) 1545212071.200 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545212071.200 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212071.201 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.201 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.205 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.208 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.212 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.215 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545212071.215 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1545212071.215 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212071.215 * * [misc]simplify: iters left: 6 (10 enodes) 1545212071.217 * * [misc]simplify: iters left: 5 (12 enodes) 1545212071.218 * * [misc]simplify: iters left: 4 (15 enodes) 1545212071.220 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212071.220 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212071.221 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.221 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.222 * * [misc]simplify: iters left: 5 (14 enodes) 1545212071.224 * * [misc]simplify: iters left: 4 (17 enodes) 1545212071.227 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.227 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212071.227 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1545212071.227 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545212071.227 * * [misc]simplify: iters left: 6 (15 enodes) 1545212071.229 * * [misc]simplify: iters left: 5 (23 enodes) 1545212071.232 * * [misc]simplify: iters left: 4 (32 enodes) 1545212071.238 * * [misc]simplify: iters left: 3 (34 enodes) 1545212071.248 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545212071.248 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.248 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.249 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.253 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.259 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.266 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.273 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.273 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545212071.274 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1545212071.274 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.274 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.278 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.284 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.291 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.300 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.300 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.300 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.300 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.302 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.305 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.309 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.313 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.313 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545212071.313 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1545212071.313 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545212071.313 * * [misc]simplify: iters left: 4 (5 enodes) 1545212071.314 * * [misc]simplify: iters left: 3 (7 enodes) 1545212071.315 * * [misc]simplify: iters left: 2 (9 enodes) 1545212071.316 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212071.316 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545212071.316 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.316 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.318 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.321 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.325 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.329 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545212071.329 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.329 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1545212071.329 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545212071.329 * * [misc]simplify: iters left: 6 (9 enodes) 1545212071.331 * * [misc]simplify: iters left: 5 (16 enodes) 1545212071.333 * * [misc]simplify: iters left: 4 (22 enodes) 1545212071.335 * * [misc]simplify: iters left: 3 (23 enodes) 1545212071.338 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545212071.338 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212071.338 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.338 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.341 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.346 * * [misc]simplify: iters left: 4 (23 enodes) 1545212071.352 * * [misc]simplify: iters left: 3 (24 enodes) 1545212071.358 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545212071.358 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545212071.358 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1545212071.359 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545212071.359 * * [misc]simplify: iters left: 6 (9 enodes) 1545212071.362 * * [misc]simplify: iters left: 5 (16 enodes) 1545212071.365 * * [misc]simplify: iters left: 4 (22 enodes) 1545212071.371 * * [misc]simplify: iters left: 3 (23 enodes) 1545212071.376 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545212071.377 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545212071.377 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.377 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.380 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.385 * * [misc]simplify: iters left: 4 (23 enodes) 1545212071.391 * * [misc]simplify: iters left: 3 (24 enodes) 1545212071.397 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545212071.397 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545212071.397 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1545212071.398 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545212071.398 * * [misc]simplify: iters left: 6 (9 enodes) 1545212071.400 * * [misc]simplify: iters left: 5 (13 enodes) 1545212071.403 * * [misc]simplify: iters left: 4 (16 enodes) 1545212071.408 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545212071.408 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212071.409 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.409 * * [misc]simplify: iters left: 6 (10 enodes) 1545212071.412 * * [misc]simplify: iters left: 5 (13 enodes) 1545212071.415 * * [misc]simplify: iters left: 4 (16 enodes) 1545212071.420 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.420 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212071.420 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1545212071.421 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545212071.421 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.425 * * [misc]simplify: iters left: 5 (24 enodes) 1545212071.432 * * [misc]simplify: iters left: 4 (33 enodes) 1545212071.440 * * [misc]simplify: iters left: 3 (34 enodes) 1545212071.448 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1545212071.448 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.448 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.448 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.452 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.457 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.464 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.469 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.469 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545212071.470 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1545212071.470 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.470 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.472 * * [misc]simplify: iters left: 5 (21 enodes) 1545212071.475 * * [misc]simplify: iters left: 4 (30 enodes) 1545212071.479 * * [misc]simplify: iters left: 3 (31 enodes) 1545212071.483 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1545212071.483 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545212071.483 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.483 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.486 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.489 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.494 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.501 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.501 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545212071.502 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1545212071.502 * [enter]simplify: Simplifying (/ 1 1) 1545212071.502 * * [misc]simplify: iters left: 2 (2 enodes) 1545212071.503 * * [misc]simplify: iters left: 1 (4 enodes) 1545212071.503 * [exit]simplify: Simplified to 1 1545212071.503 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545212071.503 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.504 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.507 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.512 * * [misc]simplify: iters left: 4 (27 enodes) 1545212071.520 * * [misc]simplify: iters left: 3 (29 enodes) 1545212071.527 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.527 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545212071.527 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1545212071.527 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1545212071.527 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1545212071.527 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1545212071.528 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212071.528 * * [misc]simplify: iters left: 5 (9 enodes) 1545212071.531 * * [misc]simplify: iters left: 4 (15 enodes) 1545212071.536 * * [misc]simplify: iters left: 3 (21 enodes) 1545212071.542 * * [misc]simplify: iters left: 2 (22 enodes) 1545212071.547 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212071.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.547 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1545212071.548 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545212071.548 * * [misc]simplify: iters left: 5 (9 enodes) 1545212071.549 * * [misc]simplify: iters left: 4 (15 enodes) 1545212071.551 * * [misc]simplify: iters left: 3 (21 enodes) 1545212071.554 * * [misc]simplify: iters left: 2 (22 enodes) 1545212071.557 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545212071.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.557 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1545212071.557 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545212071.557 * * [misc]simplify: iters left: 5 (8 enodes) 1545212071.558 * * [misc]simplify: iters left: 4 (11 enodes) 1545212071.560 * * [misc]simplify: iters left: 3 (14 enodes) 1545212071.562 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545212071.562 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212071.562 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1545212071.562 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.562 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.564 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.566 * * [misc]simplify: iters left: 4 (26 enodes) 1545212071.570 * * [misc]simplify: iters left: 3 (27 enodes) 1545212071.574 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545212071.574 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.575 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1545212071.575 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.575 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.578 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.584 * * [misc]simplify: iters left: 4 (26 enodes) 1545212071.591 * * [misc]simplify: iters left: 3 (27 enodes) 1545212071.594 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545212071.594 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.594 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1545212071.595 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545212071.595 * * [misc]simplify: iters left: 5 (10 enodes) 1545212071.596 * * [misc]simplify: iters left: 4 (16 enodes) 1545212071.599 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.602 * * [misc]simplify: iters left: 2 (26 enodes) 1545212071.605 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545212071.605 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545212071.605 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1545212071.605 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212071.605 * * [misc]simplify: iters left: 4 (4 enodes) 1545212071.606 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212071.606 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212071.606 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1545212071.606 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545212071.606 * * [misc]simplify: iters left: 2 (3 enodes) 1545212071.607 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212071.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212071.607 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1545212071.607 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1545212071.607 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545212071.607 * * [misc]simplify: iters left: 5 (8 enodes) 1545212071.608 * * [misc]simplify: iters left: 4 (12 enodes) 1545212071.610 * * [misc]simplify: iters left: 3 (18 enodes) 1545212071.612 * * [misc]simplify: iters left: 2 (20 enodes) 1545212071.615 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545212071.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1545212071.615 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1545212071.615 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1545212071.615 * [enter]simplify: Simplifying (- 1) 1545212071.615 * * [misc]simplify: iters left: 2 (2 enodes) 1545212071.617 * * [misc]simplify: iters left: 1 (5 enodes) 1545212071.617 * [exit]simplify: Simplified to -1 1545212071.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1545212071.617 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1545212071.618 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1545212071.619 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.619 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.623 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.628 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.636 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.645 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.645 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1545212071.645 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.645 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.649 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.655 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.662 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.670 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.670 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1545212071.670 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.670 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.674 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.679 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.686 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.693 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.693 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.693 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1545212071.693 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.693 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.697 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.702 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.708 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.714 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.714 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1545212071.715 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.715 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.718 * * [misc]simplify: iters left: 5 (14 enodes) 1545212071.722 * * [misc]simplify: iters left: 4 (17 enodes) 1545212071.726 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212071.726 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1545212071.727 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.727 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.731 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.737 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.744 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.748 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.748 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1545212071.748 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.748 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.750 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.753 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.757 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.761 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.761 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1545212071.762 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.762 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.764 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.767 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.775 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.783 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545212071.783 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545212071.783 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1545212071.783 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.783 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.787 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.792 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.799 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.806 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.806 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1545212071.806 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.806 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.810 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.815 * * [misc]simplify: iters left: 4 (24 enodes) 1545212071.821 * * [misc]simplify: iters left: 3 (25 enodes) 1545212071.827 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545212071.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545212071.828 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1545212071.828 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.828 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.832 * * [misc]simplify: iters left: 5 (14 enodes) 1545212071.836 * * [misc]simplify: iters left: 4 (17 enodes) 1545212071.840 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212071.841 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1545212071.841 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.841 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.845 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.851 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.859 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.866 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.866 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1545212071.867 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.867 * * [misc]simplify: iters left: 6 (14 enodes) 1545212071.871 * * [misc]simplify: iters left: 5 (20 enodes) 1545212071.877 * * [misc]simplify: iters left: 4 (29 enodes) 1545212071.884 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.892 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545212071.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545212071.892 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1545212071.892 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.892 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.896 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.902 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.910 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.918 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545212071.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545212071.918 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1545212071.918 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.918 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.922 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.927 * * [misc]simplify: iters left: 4 (23 enodes) 1545212071.934 * * [misc]simplify: iters left: 3 (24 enodes) 1545212071.940 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545212071.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545212071.940 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1545212071.940 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545212071.940 * * [misc]simplify: iters left: 6 (11 enodes) 1545212071.942 * * [misc]simplify: iters left: 5 (17 enodes) 1545212071.944 * * [misc]simplify: iters left: 4 (23 enodes) 1545212071.947 * * [misc]simplify: iters left: 3 (24 enodes) 1545212071.950 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545212071.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545212071.951 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1545212071.951 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.951 * * [misc]simplify: iters left: 6 (10 enodes) 1545212071.953 * * [misc]simplify: iters left: 5 (13 enodes) 1545212071.954 * * [misc]simplify: iters left: 4 (16 enodes) 1545212071.957 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212071.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212071.957 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1545212071.957 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.957 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.959 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.962 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.966 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.969 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.969 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1545212071.970 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545212071.970 * * [misc]simplify: iters left: 6 (13 enodes) 1545212071.972 * * [misc]simplify: iters left: 5 (19 enodes) 1545212071.974 * * [misc]simplify: iters left: 4 (28 enodes) 1545212071.978 * * [misc]simplify: iters left: 3 (30 enodes) 1545212071.982 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545212071.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545212071.982 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1545212071.982 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212071.982 * * [misc]simplify: iters left: 6 (12 enodes) 1545212071.984 * * [misc]simplify: iters left: 5 (18 enodes) 1545212071.987 * * [misc]simplify: iters left: 4 (27 enodes) 1545212071.993 * * [misc]simplify: iters left: 3 (29 enodes) 1545212072.000 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212072.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545212072.000 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1545212072.000 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212072.000 * * [misc]simplify: iters left: 6 (12 enodes) 1545212072.004 * * [misc]simplify: iters left: 5 (18 enodes) 1545212072.009 * * [misc]simplify: iters left: 4 (27 enodes) 1545212072.015 * * [misc]simplify: iters left: 3 (29 enodes) 1545212072.022 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212072.022 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545212072.022 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1545212072.022 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545212072.022 * * [misc]simplify: iters left: 6 (12 enodes) 1545212072.026 * * [misc]simplify: iters left: 5 (20 enodes) 1545212072.031 * * [misc]simplify: iters left: 4 (29 enodes) 1545212072.038 * * [misc]simplify: iters left: 3 (30 enodes) 1545212072.044 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1545212072.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1545212072.045 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1545212072.045 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545212072.045 * * [misc]simplify: iters left: 5 (8 enodes) 1545212072.047 * * [misc]simplify: iters left: 4 (12 enodes) 1545212072.051 * * [misc]simplify: iters left: 3 (18 enodes) 1545212072.055 * * [misc]simplify: iters left: 2 (20 enodes) 1545212072.060 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545212072.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1545212072.060 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1545212072.060 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545212072.061 * * [misc]simplify: iters left: 5 (10 enodes) 1545212072.063 * * [misc]simplify: iters left: 4 (16 enodes) 1545212072.067 * * [misc]simplify: iters left: 3 (25 enodes) 1545212072.073 * * [misc]simplify: iters left: 2 (26 enodes) 1545212072.078 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545212072.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545212072.078 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1545212072.079 * [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))))) 1545212072.079 * * [misc]simplify: iters left: 6 (37 enodes) 1545212072.093 * * [misc]simplify: iters left: 5 (105 enodes) 1545212072.121 * * [misc]simplify: iters left: 4 (339 enodes) 1545212072.341 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545212072.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1545212072.342 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1545212072.342 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545212072.342 * * [misc]simplify: iters left: 6 (15 enodes) 1545212072.345 * * [misc]simplify: iters left: 5 (33 enodes) 1545212072.352 * * [misc]simplify: iters left: 4 (64 enodes) 1545212072.371 * * [misc]simplify: iters left: 3 (171 enodes) 1545212072.499 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545212072.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1545212072.499 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1545212072.500 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545212072.503 * * [misc]simplify: iters left: 6 (15 enodes) 1545212072.509 * * [misc]simplify: iters left: 5 (30 enodes) 1545212072.520 * * [misc]simplify: iters left: 4 (65 enodes) 1545212072.548 * * [misc]simplify: iters left: 3 (200 enodes) 1545212072.710 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545212072.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1545212072.710 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1545212072.710 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212072.710 * * [misc]simplify: iters left: 4 (5 enodes) 1545212072.712 * * [misc]simplify: iters left: 3 (9 enodes) 1545212072.714 * * [misc]simplify: iters left: 2 (15 enodes) 1545212072.718 * * [misc]simplify: iters left: 1 (17 enodes) 1545212072.721 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212072.721 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545212072.721 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1545212072.722 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212072.722 * * [misc]simplify: iters left: 4 (5 enodes) 1545212072.723 * * [misc]simplify: iters left: 3 (9 enodes) 1545212072.726 * * [misc]simplify: iters left: 2 (15 enodes) 1545212072.730 * * [misc]simplify: iters left: 1 (17 enodes) 1545212072.733 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212072.733 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545212072.733 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1545212072.734 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545212072.734 * * [misc]simplify: iters left: 4 (5 enodes) 1545212072.735 * * [misc]simplify: iters left: 3 (9 enodes) 1545212072.738 * * [misc]simplify: iters left: 2 (15 enodes) 1545212072.741 * * [misc]simplify: iters left: 1 (17 enodes) 1545212072.745 * [exit]simplify: Simplified to (* (* PI n) 2) 1545212072.745 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545212072.745 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1545212072.745 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545212072.745 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545212072.745 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1545212072.746 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545212072.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545212072.746 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1545212072.746 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545212072.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545212072.746 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1545212072.746 * [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))))))))))))) 1545212072.746 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212072.746 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1545212072.747 * [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)))))))) 1545212072.747 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212072.747 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1545212072.747 * [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))))))))))) 1545212072.747 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212072.747 * * * [misc]progress: adding candidates to table 1545212074.557 * * [misc]progress: iteration 3 / 4 1545212074.557 * * * [misc]progress: picking best candidate 1545212074.586 * * * * [misc]pick: Picked # 1545212074.586 * * * [misc]progress: localizing error 1545212074.607 * * * [misc]progress: generating rewritten candidates 1545212074.607 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1545212074.610 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1545212074.612 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545212074.627 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545212074.633 * * * [misc]progress: generating series expansions 1545212074.633 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1545212074.634 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545212074.634 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545212074.634 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.634 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.634 * [misc]taylor: Taking taylor expansion of k in k 1545212074.634 * [misc]backup-simplify: Simplify 0 into 0 1545212074.634 * [misc]backup-simplify: Simplify 1 into 1 1545212074.634 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.634 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.634 * [misc]backup-simplify: Simplify PI into PI 1545212074.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.634 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.635 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.635 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.639 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.639 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212074.639 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212074.639 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212074.639 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212074.639 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.639 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.639 * [misc]taylor: Taking taylor expansion of k in k 1545212074.639 * [misc]backup-simplify: Simplify 0 into 0 1545212074.640 * [misc]backup-simplify: Simplify 1 into 1 1545212074.640 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.640 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.640 * [misc]backup-simplify: Simplify PI into PI 1545212074.640 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.640 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.640 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.640 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.640 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.641 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212074.641 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545212074.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212074.643 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212074.643 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.643 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545212074.645 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212074.646 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212074.648 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545212074.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.649 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545212074.652 * [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))) 1545212074.653 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545212074.655 * [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)))) 1545212074.655 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.655 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545212074.655 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of k in k 1545212074.655 * [misc]backup-simplify: Simplify 0 into 0 1545212074.655 * [misc]backup-simplify: Simplify 1 into 1 1545212074.655 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.655 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.655 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.655 * [misc]backup-simplify: Simplify PI into PI 1545212074.655 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.656 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.656 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.656 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.656 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212074.657 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.657 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.657 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.657 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of k in k 1545212074.657 * [misc]backup-simplify: Simplify 0 into 0 1545212074.657 * [misc]backup-simplify: Simplify 1 into 1 1545212074.657 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.657 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.657 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.657 * [misc]backup-simplify: Simplify PI into PI 1545212074.658 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.658 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.658 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.658 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.658 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212074.659 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.659 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.659 * [misc]backup-simplify: Simplify 0 into 0 1545212074.660 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545212074.660 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.660 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545212074.660 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.660 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of k in k 1545212074.660 * [misc]backup-simplify: Simplify 0 into 0 1545212074.660 * [misc]backup-simplify: Simplify 1 into 1 1545212074.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.660 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.660 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.661 * [misc]backup-simplify: Simplify PI into PI 1545212074.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.661 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.661 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.662 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.662 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.662 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.662 * [misc]taylor: Taking taylor expansion of k in k 1545212074.662 * [misc]backup-simplify: Simplify 0 into 0 1545212074.662 * [misc]backup-simplify: Simplify 1 into 1 1545212074.663 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.663 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.663 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.663 * [misc]backup-simplify: Simplify PI into PI 1545212074.663 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.663 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.663 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.664 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.664 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.664 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.664 * [misc]backup-simplify: Simplify 0 into 0 1545212074.664 * [misc]backup-simplify: Simplify 0 into 0 1545212074.664 * [misc]backup-simplify: Simplify 0 into 0 1545212074.664 * [misc]backup-simplify: Simplify 0 into 0 1545212074.665 * [misc]backup-simplify: Simplify 0 into 0 1545212074.665 * [misc]backup-simplify: Simplify 0 into 0 1545212074.665 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545212074.665 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1545212074.665 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545212074.665 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545212074.665 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.665 * [misc]taylor: Taking taylor expansion of k in k 1545212074.665 * [misc]backup-simplify: Simplify 0 into 0 1545212074.665 * [misc]backup-simplify: Simplify 1 into 1 1545212074.665 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212074.665 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.665 * [misc]backup-simplify: Simplify 2 into 2 1545212074.665 * [misc]taylor: Taking taylor expansion of n in k 1545212074.665 * [misc]backup-simplify: Simplify n into n 1545212074.666 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212074.666 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212074.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.666 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.666 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212074.666 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212074.666 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212074.666 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212074.666 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212074.666 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212074.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.666 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212074.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.667 * [misc]taylor: Taking taylor expansion of k in n 1545212074.667 * [misc]backup-simplify: Simplify k into k 1545212074.667 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.667 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.667 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.667 * [misc]backup-simplify: Simplify 2 into 2 1545212074.667 * [misc]taylor: Taking taylor expansion of n in n 1545212074.667 * [misc]backup-simplify: Simplify 0 into 0 1545212074.667 * [misc]backup-simplify: Simplify 1 into 1 1545212074.667 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.667 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.667 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.667 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212074.667 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212074.668 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212074.668 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.668 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212074.669 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212074.669 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.669 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.669 * [misc]taylor: Taking taylor expansion of k in n 1545212074.669 * [misc]backup-simplify: Simplify k into k 1545212074.669 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.669 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.669 * [misc]backup-simplify: Simplify 2 into 2 1545212074.669 * [misc]taylor: Taking taylor expansion of n in n 1545212074.669 * [misc]backup-simplify: Simplify 0 into 0 1545212074.669 * [misc]backup-simplify: Simplify 1 into 1 1545212074.669 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.669 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.670 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.670 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212074.670 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212074.670 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212074.670 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.670 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212074.671 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212074.671 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.671 * [misc]backup-simplify: Simplify 2 into 2 1545212074.671 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.671 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of n in k 1545212074.671 * [misc]backup-simplify: Simplify n into n 1545212074.671 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212074.671 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.671 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.672 * [misc]taylor: Taking taylor expansion of k in k 1545212074.672 * [misc]backup-simplify: Simplify 0 into 0 1545212074.672 * [misc]backup-simplify: Simplify 1 into 1 1545212074.672 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545212074.672 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.672 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.672 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.673 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545212074.673 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545212074.673 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545212074.673 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.676 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212074.676 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545212074.676 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.677 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.677 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545212074.678 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212074.678 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.678 * [misc]backup-simplify: Simplify 0 into 0 1545212074.678 * [misc]backup-simplify: Simplify 0 into 0 1545212074.679 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212074.679 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.679 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.682 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212074.682 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545212074.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.683 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545212074.684 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545212074.684 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545212074.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212074.689 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212074.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545212074.690 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.690 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.691 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545212074.693 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212074.693 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.693 * [misc]backup-simplify: Simplify 0 into 0 1545212074.693 * [misc]backup-simplify: Simplify 0 into 0 1545212074.693 * [misc]backup-simplify: Simplify 0 into 0 1545212074.693 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.694 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.698 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212074.699 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545212074.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.700 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545212074.701 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545212074.702 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545212074.703 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545212074.704 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.704 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545212074.704 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of k in k 1545212074.704 * [misc]backup-simplify: Simplify 0 into 0 1545212074.704 * [misc]backup-simplify: Simplify 1 into 1 1545212074.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.704 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212074.704 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.704 * [misc]backup-simplify: Simplify 2 into 2 1545212074.704 * [misc]taylor: Taking taylor expansion of n in k 1545212074.704 * [misc]backup-simplify: Simplify n into n 1545212074.704 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212074.704 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212074.704 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.704 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.704 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.705 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212074.705 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.705 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.705 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of k in n 1545212074.705 * [misc]backup-simplify: Simplify k into k 1545212074.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.705 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.705 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.705 * [misc]backup-simplify: Simplify 2 into 2 1545212074.705 * [misc]taylor: Taking taylor expansion of n in n 1545212074.705 * [misc]backup-simplify: Simplify 0 into 0 1545212074.705 * [misc]backup-simplify: Simplify 1 into 1 1545212074.705 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.705 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.705 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.705 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.705 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.706 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.706 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.706 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of k in n 1545212074.706 * [misc]backup-simplify: Simplify k into k 1545212074.706 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.706 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.706 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.706 * [misc]backup-simplify: Simplify 2 into 2 1545212074.706 * [misc]taylor: Taking taylor expansion of n in n 1545212074.706 * [misc]backup-simplify: Simplify 0 into 0 1545212074.706 * [misc]backup-simplify: Simplify 1 into 1 1545212074.706 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.707 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.707 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.707 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.707 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.707 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.707 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.707 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.708 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of k in k 1545212074.708 * [misc]backup-simplify: Simplify 0 into 0 1545212074.708 * [misc]backup-simplify: Simplify 1 into 1 1545212074.708 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.708 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.708 * [misc]backup-simplify: Simplify 2 into 2 1545212074.708 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.708 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212074.708 * [misc]taylor: Taking taylor expansion of n in k 1545212074.708 * [misc]backup-simplify: Simplify n into n 1545212074.708 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212074.708 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.708 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.708 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.708 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212074.709 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545212074.709 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545212074.709 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.709 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212074.711 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212074.711 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212074.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212074.711 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.712 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.712 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212074.713 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212074.713 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.713 * [misc]backup-simplify: Simplify 0 into 0 1545212074.713 * [misc]backup-simplify: Simplify 0 into 0 1545212074.713 * [misc]backup-simplify: Simplify 0 into 0 1545212074.713 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212074.716 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212074.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212074.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212074.716 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.717 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545212074.718 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212074.718 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.718 * [misc]backup-simplify: Simplify 0 into 0 1545212074.718 * [misc]backup-simplify: Simplify 0 into 0 1545212074.718 * [misc]backup-simplify: Simplify 0 into 0 1545212074.718 * [misc]backup-simplify: Simplify 0 into 0 1545212074.718 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212074.722 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545212074.722 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212074.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212074.723 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.723 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.723 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545212074.725 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545212074.726 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.726 * [misc]backup-simplify: Simplify 0 into 0 1545212074.726 * [misc]backup-simplify: Simplify 0 into 0 1545212074.726 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545212074.726 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.726 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545212074.726 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of k in k 1545212074.726 * [misc]backup-simplify: Simplify 0 into 0 1545212074.726 * [misc]backup-simplify: Simplify 1 into 1 1545212074.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.726 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212074.726 * [misc]taylor: Taking taylor expansion of -2 in k 1545212074.726 * [misc]backup-simplify: Simplify -2 into -2 1545212074.726 * [misc]taylor: Taking taylor expansion of n in k 1545212074.726 * [misc]backup-simplify: Simplify n into n 1545212074.726 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212074.727 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212074.727 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.727 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.727 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212074.727 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.727 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of k in n 1545212074.727 * [misc]backup-simplify: Simplify k into k 1545212074.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.727 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212074.727 * [misc]taylor: Taking taylor expansion of -2 in n 1545212074.727 * [misc]backup-simplify: Simplify -2 into -2 1545212074.727 * [misc]taylor: Taking taylor expansion of n in n 1545212074.727 * [misc]backup-simplify: Simplify 0 into 0 1545212074.727 * [misc]backup-simplify: Simplify 1 into 1 1545212074.727 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212074.727 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212074.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.728 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212074.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.728 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212074.728 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212074.728 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of k in n 1545212074.728 * [misc]backup-simplify: Simplify k into k 1545212074.728 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.728 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212074.728 * [misc]taylor: Taking taylor expansion of -2 in n 1545212074.729 * [misc]backup-simplify: Simplify -2 into -2 1545212074.729 * [misc]taylor: Taking taylor expansion of n in n 1545212074.729 * [misc]backup-simplify: Simplify 0 into 0 1545212074.729 * [misc]backup-simplify: Simplify 1 into 1 1545212074.729 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212074.729 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212074.729 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.729 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212074.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.729 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212074.729 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212074.730 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of k in k 1545212074.730 * [misc]backup-simplify: Simplify 0 into 0 1545212074.730 * [misc]backup-simplify: Simplify 1 into 1 1545212074.730 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.730 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of -2 in k 1545212074.730 * [misc]backup-simplify: Simplify -2 into -2 1545212074.730 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212074.730 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212074.730 * [misc]taylor: Taking taylor expansion of n in k 1545212074.730 * [misc]backup-simplify: Simplify n into n 1545212074.730 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212074.730 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.730 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212074.731 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545212074.731 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545212074.731 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212074.731 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212074.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212074.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212074.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212074.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212074.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.733 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.733 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212074.734 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212074.734 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.734 * [misc]backup-simplify: Simplify 0 into 0 1545212074.734 * [misc]backup-simplify: Simplify 0 into 0 1545212074.734 * [misc]backup-simplify: Simplify 0 into 0 1545212074.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212074.737 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545212074.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212074.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212074.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.738 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.738 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545212074.739 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212074.739 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.739 * [misc]backup-simplify: Simplify 0 into 0 1545212074.739 * [misc]backup-simplify: Simplify 0 into 0 1545212074.739 * [misc]backup-simplify: Simplify 0 into 0 1545212074.739 * [misc]backup-simplify: Simplify 0 into 0 1545212074.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212074.744 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545212074.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212074.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212074.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.745 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545212074.747 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545212074.747 * [misc]taylor: Taking taylor expansion of 0 in k 1545212074.747 * [misc]backup-simplify: Simplify 0 into 0 1545212074.747 * [misc]backup-simplify: Simplify 0 into 0 1545212074.748 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545212074.748 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545212074.748 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545212074.748 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545212074.748 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.748 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.748 * [misc]taylor: Taking taylor expansion of k in n 1545212074.748 * [misc]backup-simplify: Simplify k into k 1545212074.748 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.748 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.748 * [misc]backup-simplify: Simplify 2 into 2 1545212074.748 * [misc]taylor: Taking taylor expansion of n in n 1545212074.748 * [misc]backup-simplify: Simplify 0 into 0 1545212074.748 * [misc]backup-simplify: Simplify 1 into 1 1545212074.748 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.748 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.749 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.749 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212074.749 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212074.749 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212074.749 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.749 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212074.749 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212074.749 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545212074.749 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545212074.749 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545212074.749 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212074.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.749 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212074.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.749 * [misc]taylor: Taking taylor expansion of k in n 1545212074.750 * [misc]backup-simplify: Simplify k into k 1545212074.750 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.750 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.750 * [misc]backup-simplify: Simplify PI into PI 1545212074.750 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.750 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212074.750 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212074.750 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212074.750 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545212074.750 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545212074.750 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212074.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.750 * [misc]taylor: Taking taylor expansion of k in n 1545212074.750 * [misc]backup-simplify: Simplify k into k 1545212074.751 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.751 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212074.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212074.751 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212074.751 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.751 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.751 * [misc]taylor: Taking taylor expansion of k in k 1545212074.751 * [misc]backup-simplify: Simplify 0 into 0 1545212074.751 * [misc]backup-simplify: Simplify 1 into 1 1545212074.751 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212074.751 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.751 * [misc]backup-simplify: Simplify 2 into 2 1545212074.751 * [misc]taylor: Taking taylor expansion of n in k 1545212074.751 * [misc]backup-simplify: Simplify n into n 1545212074.751 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212074.751 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212074.751 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.751 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.751 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.752 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212074.752 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212074.752 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.752 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.752 * [misc]taylor: Taking taylor expansion of k in k 1545212074.752 * [misc]backup-simplify: Simplify 0 into 0 1545212074.752 * [misc]backup-simplify: Simplify 1 into 1 1545212074.752 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.752 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.752 * [misc]backup-simplify: Simplify PI into PI 1545212074.752 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.752 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.752 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.752 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.753 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.753 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212074.753 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212074.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.753 * [misc]taylor: Taking taylor expansion of k in k 1545212074.753 * [misc]backup-simplify: Simplify 0 into 0 1545212074.753 * [misc]backup-simplify: Simplify 1 into 1 1545212074.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.754 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212074.754 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.754 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.754 * [misc]taylor: Taking taylor expansion of k in k 1545212074.754 * [misc]backup-simplify: Simplify 0 into 0 1545212074.754 * [misc]backup-simplify: Simplify 1 into 1 1545212074.754 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212074.754 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.754 * [misc]backup-simplify: Simplify 2 into 2 1545212074.754 * [misc]taylor: Taking taylor expansion of n in k 1545212074.754 * [misc]backup-simplify: Simplify n into n 1545212074.754 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212074.754 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212074.754 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.754 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.754 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.754 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212074.754 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212074.754 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.755 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.755 * [misc]taylor: Taking taylor expansion of k in k 1545212074.755 * [misc]backup-simplify: Simplify 0 into 0 1545212074.755 * [misc]backup-simplify: Simplify 1 into 1 1545212074.755 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.755 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.755 * [misc]backup-simplify: Simplify PI into PI 1545212074.755 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.755 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212074.755 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.755 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.756 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.756 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212074.756 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212074.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.756 * [misc]taylor: Taking taylor expansion of k in k 1545212074.756 * [misc]backup-simplify: Simplify 0 into 0 1545212074.756 * [misc]backup-simplify: Simplify 1 into 1 1545212074.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.756 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.757 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212074.757 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545212074.757 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545212074.757 * [misc]taylor: Taking taylor expansion of 0 in n 1545212074.757 * [misc]backup-simplify: Simplify 0 into 0 1545212074.757 * [misc]backup-simplify: Simplify 0 into 0 1545212074.760 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212074.760 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212074.760 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.760 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545212074.762 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212074.763 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545212074.763 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545212074.763 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212074.763 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.764 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545212074.764 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545212074.765 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545212074.766 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545212074.766 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.766 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.766 * [misc]backup-simplify: Simplify 2 into 2 1545212074.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.766 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212074.766 * [misc]taylor: Taking taylor expansion of n in n 1545212074.766 * [misc]backup-simplify: Simplify 0 into 0 1545212074.766 * [misc]backup-simplify: Simplify 1 into 1 1545212074.766 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.766 * [misc]backup-simplify: Simplify PI into PI 1545212074.767 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212074.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212074.767 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.768 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.768 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212074.768 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.768 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.768 * [misc]backup-simplify: Simplify 0 into 0 1545212074.768 * [misc]backup-simplify: Simplify 0 into 0 1545212074.768 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212074.769 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212074.771 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545212074.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.772 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.772 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.773 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545212074.775 * [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))) 1545212074.776 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545212074.777 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545212074.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.778 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545212074.780 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545212074.783 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545212074.788 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545212074.788 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.788 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.788 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.788 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.788 * [misc]backup-simplify: Simplify 2 into 2 1545212074.788 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.788 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.789 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.789 * [misc]backup-simplify: Simplify PI into PI 1545212074.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.789 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.789 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.789 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.789 * [misc]backup-simplify: Simplify PI into PI 1545212074.789 * [misc]taylor: Taking taylor expansion of n in n 1545212074.789 * [misc]backup-simplify: Simplify 0 into 0 1545212074.789 * [misc]backup-simplify: Simplify 1 into 1 1545212074.789 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.790 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.790 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.790 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.791 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.791 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.791 * [misc]backup-simplify: Simplify 2 into 2 1545212074.791 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.791 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.791 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212074.791 * [misc]taylor: Taking taylor expansion of n in n 1545212074.791 * [misc]backup-simplify: Simplify 0 into 0 1545212074.791 * [misc]backup-simplify: Simplify 1 into 1 1545212074.791 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.791 * [misc]backup-simplify: Simplify PI into PI 1545212074.791 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212074.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212074.792 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.793 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.793 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.793 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.793 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.793 * [misc]backup-simplify: Simplify 2 into 2 1545212074.793 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.793 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.793 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.793 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.794 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.794 * [misc]backup-simplify: Simplify 2 into 2 1545212074.794 * [misc]taylor: Taking taylor expansion of n in n 1545212074.794 * [misc]backup-simplify: Simplify 0 into 0 1545212074.794 * [misc]backup-simplify: Simplify 1 into 1 1545212074.794 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.794 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.794 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.794 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.794 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.794 * [misc]backup-simplify: Simplify PI into PI 1545212074.794 * [misc]taylor: Taking taylor expansion of n in n 1545212074.794 * [misc]backup-simplify: Simplify 0 into 0 1545212074.794 * [misc]backup-simplify: Simplify 1 into 1 1545212074.795 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.795 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.795 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.796 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.797 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545212074.798 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545212074.798 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.798 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212074.798 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.798 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.799 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545212074.799 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545212074.799 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.799 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.800 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.800 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.800 * [misc]backup-simplify: Simplify 0 into 0 1545212074.801 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.803 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.805 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.806 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.806 * [misc]backup-simplify: Simplify 0 into 0 1545212074.806 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212074.807 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212074.814 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545212074.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212074.815 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545212074.824 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545212074.825 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545212074.827 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545212074.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212074.828 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545212074.830 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545212074.836 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545212074.845 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545212074.845 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.846 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.846 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.846 * [misc]backup-simplify: Simplify 2 into 2 1545212074.846 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.846 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.846 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.846 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.846 * [misc]backup-simplify: Simplify PI into PI 1545212074.847 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.847 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.847 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.847 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.847 * [misc]backup-simplify: Simplify PI into PI 1545212074.847 * [misc]taylor: Taking taylor expansion of n in n 1545212074.847 * [misc]backup-simplify: Simplify 0 into 0 1545212074.847 * [misc]backup-simplify: Simplify 1 into 1 1545212074.847 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.848 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.849 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.849 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.849 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.849 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.849 * [misc]backup-simplify: Simplify 2 into 2 1545212074.849 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.849 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.849 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.849 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.849 * [misc]backup-simplify: Simplify PI into PI 1545212074.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.850 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.850 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.850 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.850 * [misc]backup-simplify: Simplify PI into PI 1545212074.850 * [misc]taylor: Taking taylor expansion of n in n 1545212074.850 * [misc]backup-simplify: Simplify 0 into 0 1545212074.850 * [misc]backup-simplify: Simplify 1 into 1 1545212074.850 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.851 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.851 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.851 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545212074.851 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.852 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.852 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.852 * [misc]backup-simplify: Simplify 2 into 2 1545212074.852 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.852 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.852 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.852 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.852 * [misc]backup-simplify: Simplify 2 into 2 1545212074.852 * [misc]taylor: Taking taylor expansion of n in n 1545212074.852 * [misc]backup-simplify: Simplify 0 into 0 1545212074.852 * [misc]backup-simplify: Simplify 1 into 1 1545212074.853 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.853 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.853 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.853 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.853 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.853 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.853 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.853 * [misc]backup-simplify: Simplify PI into PI 1545212074.853 * [misc]taylor: Taking taylor expansion of n in n 1545212074.854 * [misc]backup-simplify: Simplify 0 into 0 1545212074.854 * [misc]backup-simplify: Simplify 1 into 1 1545212074.854 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.854 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.855 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.855 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.855 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.855 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.855 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.855 * [misc]backup-simplify: Simplify 2 into 2 1545212074.856 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.856 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.856 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545212074.856 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.856 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.856 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.856 * [misc]backup-simplify: Simplify 2 into 2 1545212074.856 * [misc]taylor: Taking taylor expansion of n in n 1545212074.856 * [misc]backup-simplify: Simplify 0 into 0 1545212074.856 * [misc]backup-simplify: Simplify 1 into 1 1545212074.856 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.856 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.857 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.857 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.857 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.857 * [misc]backup-simplify: Simplify PI into PI 1545212074.857 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.857 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212074.857 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212074.857 * [misc]taylor: Taking taylor expansion of n in n 1545212074.857 * [misc]backup-simplify: Simplify 0 into 0 1545212074.857 * [misc]backup-simplify: Simplify 1 into 1 1545212074.857 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.857 * [misc]backup-simplify: Simplify PI into PI 1545212074.857 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212074.858 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212074.858 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.859 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.859 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.859 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.859 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.859 * [misc]backup-simplify: Simplify 2 into 2 1545212074.859 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.859 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.859 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212074.859 * [misc]taylor: Taking taylor expansion of n in n 1545212074.859 * [misc]backup-simplify: Simplify 0 into 0 1545212074.859 * [misc]backup-simplify: Simplify 1 into 1 1545212074.859 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.860 * [misc]backup-simplify: Simplify PI into PI 1545212074.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212074.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212074.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.861 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.861 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545212074.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545212074.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.861 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545212074.861 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545212074.861 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212074.861 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.861 * [misc]backup-simplify: Simplify 2 into 2 1545212074.861 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212074.862 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212074.862 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212074.862 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212074.862 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.862 * [misc]backup-simplify: Simplify 2 into 2 1545212074.862 * [misc]taylor: Taking taylor expansion of n in n 1545212074.862 * [misc]backup-simplify: Simplify 0 into 0 1545212074.862 * [misc]backup-simplify: Simplify 1 into 1 1545212074.862 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212074.862 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212074.862 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.863 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212074.863 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212074.863 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.863 * [misc]backup-simplify: Simplify PI into PI 1545212074.863 * [misc]taylor: Taking taylor expansion of n in n 1545212074.863 * [misc]backup-simplify: Simplify 0 into 0 1545212074.863 * [misc]backup-simplify: Simplify 1 into 1 1545212074.863 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212074.864 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212074.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.864 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212074.865 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545212074.866 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545212074.866 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.867 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545212074.868 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545212074.869 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545212074.869 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.870 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.870 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.871 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545212074.871 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545212074.872 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545212074.872 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.872 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.873 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545212074.873 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545212074.874 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545212074.874 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.875 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212074.875 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.875 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.875 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545212074.876 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545212074.876 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212074.876 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.876 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.876 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.877 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.878 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.878 * [misc]backup-simplify: Simplify 0 into 0 1545212074.880 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212074.881 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545212074.883 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545212074.886 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545212074.887 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.889 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212074.889 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212074.892 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212074.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212074.893 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545212074.893 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212074.895 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212074.897 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212074.900 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545212074.904 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545212074.911 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212074.918 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212074.923 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212074.924 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212074.925 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545212074.925 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545212074.927 * [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)))) 1545212074.929 * [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)))) 1545212074.930 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212074.931 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212074.937 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545212074.937 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545212074.937 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545212074.937 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.938 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.938 * [misc]taylor: Taking taylor expansion of k in n 1545212074.938 * [misc]backup-simplify: Simplify k into k 1545212074.938 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.938 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.938 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.938 * [misc]backup-simplify: Simplify PI into PI 1545212074.938 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.938 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.938 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.938 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.938 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212074.939 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.939 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.939 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of k in n 1545212074.939 * [misc]backup-simplify: Simplify k into k 1545212074.939 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.939 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.939 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.939 * [misc]backup-simplify: Simplify 2 into 2 1545212074.939 * [misc]taylor: Taking taylor expansion of n in n 1545212074.939 * [misc]backup-simplify: Simplify 0 into 0 1545212074.939 * [misc]backup-simplify: Simplify 1 into 1 1545212074.939 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.939 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.939 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.939 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.939 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.940 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.940 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.940 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.940 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212074.940 * [misc]taylor: Taking taylor expansion of k in n 1545212074.940 * [misc]backup-simplify: Simplify k into k 1545212074.940 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212074.940 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212074.940 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.940 * [misc]taylor: Taking taylor expansion of k in k 1545212074.940 * [misc]backup-simplify: Simplify 0 into 0 1545212074.940 * [misc]backup-simplify: Simplify 1 into 1 1545212074.941 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.941 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.941 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.941 * [misc]backup-simplify: Simplify PI into PI 1545212074.941 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.941 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.941 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.941 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.941 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212074.942 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.942 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.942 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of k in k 1545212074.942 * [misc]backup-simplify: Simplify 0 into 0 1545212074.942 * [misc]backup-simplify: Simplify 1 into 1 1545212074.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.942 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212074.942 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.942 * [misc]backup-simplify: Simplify 2 into 2 1545212074.942 * [misc]taylor: Taking taylor expansion of n in k 1545212074.942 * [misc]backup-simplify: Simplify n into n 1545212074.942 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212074.942 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212074.942 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.942 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.943 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.943 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212074.943 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.943 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of k in k 1545212074.943 * [misc]backup-simplify: Simplify 0 into 0 1545212074.943 * [misc]backup-simplify: Simplify 1 into 1 1545212074.943 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.943 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212074.943 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.943 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.943 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.943 * [misc]taylor: Taking taylor expansion of k in k 1545212074.943 * [misc]backup-simplify: Simplify 0 into 0 1545212074.943 * [misc]backup-simplify: Simplify 1 into 1 1545212074.944 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.944 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.944 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.944 * [misc]backup-simplify: Simplify PI into PI 1545212074.944 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.944 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.944 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.944 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.944 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212074.945 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.945 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of k in k 1545212074.945 * [misc]backup-simplify: Simplify 0 into 0 1545212074.945 * [misc]backup-simplify: Simplify 1 into 1 1545212074.945 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.945 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212074.945 * [misc]taylor: Taking taylor expansion of 2 in k 1545212074.945 * [misc]backup-simplify: Simplify 2 into 2 1545212074.945 * [misc]taylor: Taking taylor expansion of n in k 1545212074.945 * [misc]backup-simplify: Simplify n into n 1545212074.945 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212074.945 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212074.945 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.945 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212074.945 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212074.946 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212074.946 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.946 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212074.946 * [misc]taylor: Taking taylor expansion of k in k 1545212074.946 * [misc]backup-simplify: Simplify 0 into 0 1545212074.946 * [misc]backup-simplify: Simplify 1 into 1 1545212074.946 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.946 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212074.946 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212074.946 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545212074.946 * [misc]taylor: Taking taylor expansion of 0 in n 1545212074.947 * [misc]backup-simplify: Simplify 0 into 0 1545212074.947 * [misc]backup-simplify: Simplify 0 into 0 1545212074.947 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545212074.947 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212074.947 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.947 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.947 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.947 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.947 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.947 * [misc]taylor: Taking taylor expansion of k in n 1545212074.947 * [misc]backup-simplify: Simplify k into k 1545212074.947 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.948 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.948 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.948 * [misc]backup-simplify: Simplify PI into PI 1545212074.948 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.948 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.948 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.948 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.948 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212074.949 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.949 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of k in n 1545212074.949 * [misc]backup-simplify: Simplify k into k 1545212074.949 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.949 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.949 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.949 * [misc]backup-simplify: Simplify 2 into 2 1545212074.949 * [misc]taylor: Taking taylor expansion of n in n 1545212074.949 * [misc]backup-simplify: Simplify 0 into 0 1545212074.949 * [misc]backup-simplify: Simplify 1 into 1 1545212074.950 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.950 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.950 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.950 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.950 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.951 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.951 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.951 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.952 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212074.952 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212074.953 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.953 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.954 * [misc]backup-simplify: Simplify 0 into 0 1545212074.955 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212074.955 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545212074.956 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212074.956 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.956 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.956 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.957 * [misc]taylor: Taking taylor expansion of k in n 1545212074.957 * [misc]backup-simplify: Simplify k into k 1545212074.957 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.957 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.957 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.957 * [misc]backup-simplify: Simplify PI into PI 1545212074.957 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.957 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.957 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.957 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.958 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212074.958 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.958 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.958 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.958 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.958 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.958 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.958 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.959 * [misc]taylor: Taking taylor expansion of k in n 1545212074.959 * [misc]backup-simplify: Simplify k into k 1545212074.959 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.959 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.959 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.959 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.959 * [misc]backup-simplify: Simplify 2 into 2 1545212074.959 * [misc]taylor: Taking taylor expansion of n in n 1545212074.959 * [misc]backup-simplify: Simplify 0 into 0 1545212074.959 * [misc]backup-simplify: Simplify 1 into 1 1545212074.959 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.959 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.959 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.959 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.959 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.960 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.960 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.960 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.961 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212074.961 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212074.962 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.962 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212074.965 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212074.965 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212074.965 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212074.966 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.966 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.966 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212074.968 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212074.970 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212074.970 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212074.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212074.971 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212074.972 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545212074.973 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212074.974 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545212074.974 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545212074.975 * [misc]backup-simplify: Simplify (- 0) into 0 1545212074.975 * [misc]backup-simplify: Simplify 0 into 0 1545212074.975 * [misc]backup-simplify: Simplify 0 into 0 1545212074.976 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212074.977 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212074.977 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212074.977 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212074.977 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212074.978 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212074.978 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of k in n 1545212074.978 * [misc]backup-simplify: Simplify k into k 1545212074.978 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.978 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.978 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.978 * [misc]backup-simplify: Simplify PI into PI 1545212074.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.978 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.979 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.979 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.979 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212074.979 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212074.979 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of k in n 1545212074.980 * [misc]backup-simplify: Simplify k into k 1545212074.980 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.980 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212074.980 * [misc]taylor: Taking taylor expansion of 2 in n 1545212074.980 * [misc]backup-simplify: Simplify 2 into 2 1545212074.980 * [misc]taylor: Taking taylor expansion of n in n 1545212074.980 * [misc]backup-simplify: Simplify 0 into 0 1545212074.980 * [misc]backup-simplify: Simplify 1 into 1 1545212074.980 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212074.980 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212074.980 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.981 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212074.981 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212074.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212074.981 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212074.982 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212074.982 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212074.983 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212074.983 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.984 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212074.986 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545212074.987 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545212074.987 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545212074.987 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.987 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of k in n 1545212074.987 * [misc]backup-simplify: Simplify k into k 1545212074.987 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.987 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212074.987 * [misc]taylor: Taking taylor expansion of -2 in n 1545212074.987 * [misc]backup-simplify: Simplify -2 into -2 1545212074.987 * [misc]taylor: Taking taylor expansion of n in n 1545212074.987 * [misc]backup-simplify: Simplify 0 into 0 1545212074.987 * [misc]backup-simplify: Simplify 1 into 1 1545212074.988 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212074.988 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212074.988 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.988 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212074.988 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212074.989 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212074.989 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212074.989 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.989 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of k in n 1545212074.989 * [misc]backup-simplify: Simplify k into k 1545212074.989 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212074.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212074.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.989 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212074.989 * [misc]taylor: Taking taylor expansion of PI in n 1545212074.990 * [misc]backup-simplify: Simplify PI into PI 1545212074.990 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.990 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212074.990 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212074.990 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212074.991 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.991 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212074.991 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212074.991 * [misc]taylor: Taking taylor expansion of -1 in n 1545212074.991 * [misc]backup-simplify: Simplify -1 into -1 1545212074.991 * [misc]taylor: Taking taylor expansion of k in n 1545212074.991 * [misc]backup-simplify: Simplify k into k 1545212074.991 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212074.991 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212074.991 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212074.991 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212074.992 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212074.992 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545212074.992 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545212074.992 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of k in k 1545212074.993 * [misc]backup-simplify: Simplify 0 into 0 1545212074.993 * [misc]backup-simplify: Simplify 1 into 1 1545212074.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.993 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212074.993 * [misc]taylor: Taking taylor expansion of -2 in k 1545212074.993 * [misc]backup-simplify: Simplify -2 into -2 1545212074.993 * [misc]taylor: Taking taylor expansion of n in k 1545212074.993 * [misc]backup-simplify: Simplify n into n 1545212074.993 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212074.993 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212074.994 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.994 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.994 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212074.994 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.994 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.994 * [misc]taylor: Taking taylor expansion of k in k 1545212074.994 * [misc]backup-simplify: Simplify 0 into 0 1545212074.994 * [misc]backup-simplify: Simplify 1 into 1 1545212074.994 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.995 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212074.995 * [misc]taylor: Taking taylor expansion of PI in k 1545212074.995 * [misc]backup-simplify: Simplify PI into PI 1545212074.995 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212074.995 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.995 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.996 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212074.996 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.996 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212074.996 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212074.996 * [misc]taylor: Taking taylor expansion of -1 in k 1545212074.996 * [misc]backup-simplify: Simplify -1 into -1 1545212074.996 * [misc]taylor: Taking taylor expansion of k in k 1545212074.996 * [misc]backup-simplify: Simplify 0 into 0 1545212074.996 * [misc]backup-simplify: Simplify 1 into 1 1545212074.996 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212074.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212074.997 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212074.997 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212074.998 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212074.998 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of k in k 1545212074.998 * [misc]backup-simplify: Simplify 0 into 0 1545212074.998 * [misc]backup-simplify: Simplify 1 into 1 1545212074.998 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212074.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.998 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212074.998 * [misc]taylor: Taking taylor expansion of -2 in k 1545212074.998 * [misc]backup-simplify: Simplify -2 into -2 1545212074.998 * [misc]taylor: Taking taylor expansion of n in k 1545212074.998 * [misc]backup-simplify: Simplify n into n 1545212074.998 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212074.999 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212074.999 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212074.999 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212074.999 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212074.999 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212074.999 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212074.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212074.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212074.999 * [misc]taylor: Taking taylor expansion of k in k 1545212074.999 * [misc]backup-simplify: Simplify 0 into 0 1545212074.999 * [misc]backup-simplify: Simplify 1 into 1 1545212075.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.000 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212075.000 * [misc]taylor: Taking taylor expansion of PI in k 1545212075.000 * [misc]backup-simplify: Simplify PI into PI 1545212075.000 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212075.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212075.000 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212075.001 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212075.001 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.001 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212075.001 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212075.001 * [misc]taylor: Taking taylor expansion of -1 in k 1545212075.001 * [misc]backup-simplify: Simplify -1 into -1 1545212075.001 * [misc]taylor: Taking taylor expansion of k in k 1545212075.001 * [misc]backup-simplify: Simplify 0 into 0 1545212075.001 * [misc]backup-simplify: Simplify 1 into 1 1545212075.002 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212075.002 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.002 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212075.002 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.003 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212075.003 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.003 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.003 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of k in n 1545212075.003 * [misc]backup-simplify: Simplify k into k 1545212075.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.003 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.003 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.003 * [misc]backup-simplify: Simplify -2 into -2 1545212075.003 * [misc]taylor: Taking taylor expansion of n in n 1545212075.003 * [misc]backup-simplify: Simplify 0 into 0 1545212075.004 * [misc]backup-simplify: Simplify 1 into 1 1545212075.004 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.004 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.004 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.005 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.005 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.005 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.005 * [misc]taylor: Taking taylor expansion of k in n 1545212075.005 * [misc]backup-simplify: Simplify k into k 1545212075.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.005 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212075.006 * [misc]taylor: Taking taylor expansion of PI in n 1545212075.006 * [misc]backup-simplify: Simplify PI into PI 1545212075.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212075.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.006 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212075.007 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.007 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.008 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212075.008 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212075.008 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545212075.009 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212075.010 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212075.011 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.011 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.011 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.011 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of k in n 1545212075.011 * [misc]backup-simplify: Simplify k into k 1545212075.011 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.011 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.011 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.011 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.011 * [misc]backup-simplify: Simplify -2 into -2 1545212075.011 * [misc]taylor: Taking taylor expansion of n in n 1545212075.011 * [misc]backup-simplify: Simplify 0 into 0 1545212075.011 * [misc]backup-simplify: Simplify 1 into 1 1545212075.012 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.012 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.012 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.012 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.013 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.013 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.013 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.013 * [misc]taylor: Taking taylor expansion of k in n 1545212075.013 * [misc]backup-simplify: Simplify k into k 1545212075.013 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.014 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212075.014 * [misc]taylor: Taking taylor expansion of PI in n 1545212075.014 * [misc]backup-simplify: Simplify PI into PI 1545212075.014 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212075.014 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.014 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.014 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212075.015 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.015 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.016 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212075.016 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.017 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212075.020 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212075.020 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212075.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212075.021 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545212075.022 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212075.023 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212075.025 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212075.025 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212075.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212075.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212075.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.026 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212075.028 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212075.028 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545212075.029 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545212075.029 * [misc]backup-simplify: Simplify 0 into 0 1545212075.029 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545212075.030 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212075.031 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212075.032 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.032 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212075.032 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212075.032 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.032 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.032 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.032 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.032 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of k in n 1545212075.033 * [misc]backup-simplify: Simplify k into k 1545212075.033 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.033 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.033 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.033 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.033 * [misc]backup-simplify: Simplify -2 into -2 1545212075.033 * [misc]taylor: Taking taylor expansion of n in n 1545212075.033 * [misc]backup-simplify: Simplify 0 into 0 1545212075.033 * [misc]backup-simplify: Simplify 1 into 1 1545212075.033 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.033 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.033 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.034 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.034 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.034 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.034 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.035 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of k in n 1545212075.035 * [misc]backup-simplify: Simplify k into k 1545212075.035 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.035 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212075.035 * [misc]taylor: Taking taylor expansion of PI in n 1545212075.035 * [misc]backup-simplify: Simplify PI into PI 1545212075.035 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212075.035 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.035 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.036 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212075.036 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.037 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.037 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212075.038 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.038 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.040 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545212075.040 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545212075.041 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545212075.041 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545212075.041 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.041 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.041 * [misc]taylor: Taking taylor expansion of k in n 1545212075.041 * [misc]backup-simplify: Simplify k into k 1545212075.041 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212075.041 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.041 * [misc]backup-simplify: Simplify 2 into 2 1545212075.041 * [misc]taylor: Taking taylor expansion of n in n 1545212075.041 * [misc]backup-simplify: Simplify 0 into 0 1545212075.041 * [misc]backup-simplify: Simplify 1 into 1 1545212075.041 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212075.042 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212075.042 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.042 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212075.042 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212075.042 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212075.042 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212075.043 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212075.043 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212075.043 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545212075.043 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212075.043 * [misc]taylor: Taking taylor expansion of k in n 1545212075.043 * [misc]backup-simplify: Simplify k into k 1545212075.044 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212075.044 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212075.044 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.044 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.044 * [misc]taylor: Taking taylor expansion of k in k 1545212075.044 * [misc]backup-simplify: Simplify 0 into 0 1545212075.044 * [misc]backup-simplify: Simplify 1 into 1 1545212075.044 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212075.044 * [misc]taylor: Taking taylor expansion of 2 in k 1545212075.044 * [misc]backup-simplify: Simplify 2 into 2 1545212075.044 * [misc]taylor: Taking taylor expansion of n in k 1545212075.044 * [misc]backup-simplify: Simplify n into n 1545212075.044 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212075.044 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212075.044 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212075.045 * [misc]backup-simplify: Simplify (- 0) into 0 1545212075.045 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212075.045 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212075.045 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212075.045 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545212075.045 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212075.045 * [misc]taylor: Taking taylor expansion of k in k 1545212075.045 * [misc]backup-simplify: Simplify 0 into 0 1545212075.045 * [misc]backup-simplify: Simplify 1 into 1 1545212075.045 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.046 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.046 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.046 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.046 * [misc]taylor: Taking taylor expansion of k in k 1545212075.046 * [misc]backup-simplify: Simplify 0 into 0 1545212075.046 * [misc]backup-simplify: Simplify 1 into 1 1545212075.046 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212075.046 * [misc]taylor: Taking taylor expansion of 2 in k 1545212075.047 * [misc]backup-simplify: Simplify 2 into 2 1545212075.047 * [misc]taylor: Taking taylor expansion of n in k 1545212075.047 * [misc]backup-simplify: Simplify n into n 1545212075.047 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212075.047 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212075.047 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212075.047 * [misc]backup-simplify: Simplify (- 0) into 0 1545212075.047 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212075.047 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212075.047 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212075.047 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545212075.048 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212075.048 * [misc]taylor: Taking taylor expansion of k in k 1545212075.048 * [misc]backup-simplify: Simplify 0 into 0 1545212075.048 * [misc]backup-simplify: Simplify 1 into 1 1545212075.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.048 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.048 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545212075.048 * [misc]taylor: Taking taylor expansion of 0 in n 1545212075.048 * [misc]backup-simplify: Simplify 0 into 0 1545212075.049 * [misc]backup-simplify: Simplify 0 into 0 1545212075.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545212075.050 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545212075.050 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212075.050 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212075.050 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212075.050 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545212075.051 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545212075.051 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545212075.052 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545212075.052 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545212075.052 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545212075.052 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.052 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.052 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545212075.052 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212075.052 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212075.052 * [misc]taylor: Taking taylor expansion of n in n 1545212075.052 * [misc]backup-simplify: Simplify 0 into 0 1545212075.052 * [misc]backup-simplify: Simplify 1 into 1 1545212075.053 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.053 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.053 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212075.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.053 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212075.054 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212075.054 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.055 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212075.056 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545212075.056 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.057 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.057 * [misc]backup-simplify: Simplify 0 into 0 1545212075.058 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212075.058 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545212075.061 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545212075.061 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212075.062 * [misc]backup-simplify: Simplify (- 0) into 0 1545212075.062 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212075.062 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545212075.063 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545212075.065 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545212075.069 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545212075.069 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.069 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.069 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.069 * [misc]backup-simplify: Simplify 2 into 2 1545212075.069 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212075.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212075.069 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545212075.069 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212075.070 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212075.070 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.070 * [misc]backup-simplify: Simplify 2 into 2 1545212075.070 * [misc]taylor: Taking taylor expansion of n in n 1545212075.070 * [misc]backup-simplify: Simplify 0 into 0 1545212075.070 * [misc]backup-simplify: Simplify 1 into 1 1545212075.070 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212075.070 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212075.070 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.070 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545212075.070 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212075.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.071 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212075.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212075.071 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212075.071 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212075.071 * [misc]taylor: Taking taylor expansion of n in n 1545212075.071 * [misc]backup-simplify: Simplify 0 into 0 1545212075.071 * [misc]backup-simplify: Simplify 1 into 1 1545212075.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.072 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.072 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545212075.072 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545212075.072 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.072 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.072 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545212075.072 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212075.072 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212075.072 * [misc]taylor: Taking taylor expansion of n in n 1545212075.072 * [misc]backup-simplify: Simplify 0 into 0 1545212075.072 * [misc]backup-simplify: Simplify 1 into 1 1545212075.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.072 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.073 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.073 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212075.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.073 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212075.073 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212075.074 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212075.074 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545212075.075 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545212075.076 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545212075.076 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212075.077 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545212075.077 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212075.079 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212075.080 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545212075.081 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545212075.082 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545212075.083 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545212075.086 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545212075.087 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.087 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212075.088 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545212075.088 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.090 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545212075.092 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545212075.094 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545212075.095 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545212075.095 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212075.096 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212075.097 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.097 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.098 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.098 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212075.101 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545212075.102 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545212075.102 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545212075.102 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of k in n 1545212075.102 * [misc]backup-simplify: Simplify k into k 1545212075.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.102 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212075.102 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.102 * [misc]backup-simplify: Simplify 2 into 2 1545212075.102 * [misc]taylor: Taking taylor expansion of n in n 1545212075.102 * [misc]backup-simplify: Simplify 0 into 0 1545212075.102 * [misc]backup-simplify: Simplify 1 into 1 1545212075.102 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212075.102 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.102 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.102 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212075.103 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212075.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212075.103 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212075.103 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212075.103 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212075.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.103 * [misc]taylor: Taking taylor expansion of k in n 1545212075.103 * [misc]backup-simplify: Simplify k into k 1545212075.104 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.104 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212075.104 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212075.104 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212075.104 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of k in k 1545212075.104 * [misc]backup-simplify: Simplify 0 into 0 1545212075.104 * [misc]backup-simplify: Simplify 1 into 1 1545212075.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.104 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212075.104 * [misc]taylor: Taking taylor expansion of 2 in k 1545212075.104 * [misc]backup-simplify: Simplify 2 into 2 1545212075.104 * [misc]taylor: Taking taylor expansion of n in k 1545212075.104 * [misc]backup-simplify: Simplify n into n 1545212075.104 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212075.104 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212075.104 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212075.104 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212075.105 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212075.105 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212075.105 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212075.105 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212075.105 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212075.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.105 * [misc]taylor: Taking taylor expansion of k in k 1545212075.105 * [misc]backup-simplify: Simplify 0 into 0 1545212075.105 * [misc]backup-simplify: Simplify 1 into 1 1545212075.105 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.105 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.106 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.106 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.106 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of k in k 1545212075.106 * [misc]backup-simplify: Simplify 0 into 0 1545212075.106 * [misc]backup-simplify: Simplify 1 into 1 1545212075.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.106 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212075.106 * [misc]taylor: Taking taylor expansion of 2 in k 1545212075.106 * [misc]backup-simplify: Simplify 2 into 2 1545212075.106 * [misc]taylor: Taking taylor expansion of n in k 1545212075.106 * [misc]backup-simplify: Simplify n into n 1545212075.106 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212075.106 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212075.106 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212075.106 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212075.106 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212075.107 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212075.107 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212075.107 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212075.107 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212075.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.107 * [misc]taylor: Taking taylor expansion of k in k 1545212075.107 * [misc]backup-simplify: Simplify 0 into 0 1545212075.107 * [misc]backup-simplify: Simplify 1 into 1 1545212075.107 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.107 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.107 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212075.108 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545212075.108 * [misc]taylor: Taking taylor expansion of 0 in n 1545212075.108 * [misc]backup-simplify: Simplify 0 into 0 1545212075.108 * [misc]backup-simplify: Simplify 0 into 0 1545212075.108 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212075.108 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212075.108 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.108 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.108 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.108 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of k in n 1545212075.108 * [misc]backup-simplify: Simplify k into k 1545212075.108 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.108 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212075.108 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.108 * [misc]backup-simplify: Simplify 2 into 2 1545212075.108 * [misc]taylor: Taking taylor expansion of n in n 1545212075.108 * [misc]backup-simplify: Simplify 0 into 0 1545212075.108 * [misc]backup-simplify: Simplify 1 into 1 1545212075.109 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212075.109 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.109 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.109 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212075.109 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212075.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212075.109 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212075.110 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212075.110 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.110 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.110 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.110 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.110 * [misc]backup-simplify: Simplify 0 into 0 1545212075.111 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212075.111 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212075.112 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212075.112 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212075.112 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.112 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.112 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of k in n 1545212075.112 * [misc]backup-simplify: Simplify k into k 1545212075.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.112 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212075.112 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.112 * [misc]backup-simplify: Simplify 2 into 2 1545212075.112 * [misc]taylor: Taking taylor expansion of n in n 1545212075.112 * [misc]backup-simplify: Simplify 0 into 0 1545212075.112 * [misc]backup-simplify: Simplify 1 into 1 1545212075.112 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212075.113 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.113 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.113 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212075.113 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212075.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212075.113 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212075.113 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212075.114 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.114 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.114 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.114 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212075.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212075.117 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212075.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212075.117 * [misc]backup-simplify: Simplify (- 0) into 0 1545212075.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212075.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212075.118 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212075.119 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212075.120 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545212075.120 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545212075.121 * [misc]backup-simplify: Simplify (- 0) into 0 1545212075.121 * [misc]backup-simplify: Simplify 0 into 0 1545212075.121 * [misc]backup-simplify: Simplify 0 into 0 1545212075.121 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212075.122 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212075.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212075.123 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212075.123 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212075.123 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212075.123 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.123 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.124 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of k in n 1545212075.124 * [misc]backup-simplify: Simplify k into k 1545212075.124 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.124 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212075.124 * [misc]taylor: Taking taylor expansion of 2 in n 1545212075.124 * [misc]backup-simplify: Simplify 2 into 2 1545212075.124 * [misc]taylor: Taking taylor expansion of n in n 1545212075.124 * [misc]backup-simplify: Simplify 0 into 0 1545212075.124 * [misc]backup-simplify: Simplify 1 into 1 1545212075.124 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212075.124 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212075.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.125 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212075.125 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212075.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212075.125 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212075.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212075.126 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.127 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212075.127 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.127 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212075.129 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545212075.130 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.130 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545212075.130 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of -1 in n 1545212075.130 * [misc]backup-simplify: Simplify -1 into -1 1545212075.130 * [misc]taylor: Taking taylor expansion of k in n 1545212075.130 * [misc]backup-simplify: Simplify k into k 1545212075.130 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212075.130 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212075.130 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212075.130 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212075.130 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.131 * [misc]taylor: Taking taylor expansion of k in n 1545212075.131 * [misc]backup-simplify: Simplify k into k 1545212075.131 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.131 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.131 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.131 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.131 * [misc]backup-simplify: Simplify -2 into -2 1545212075.131 * [misc]taylor: Taking taylor expansion of n in n 1545212075.131 * [misc]backup-simplify: Simplify 0 into 0 1545212075.131 * [misc]backup-simplify: Simplify 1 into 1 1545212075.131 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.131 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.131 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.132 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.132 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.133 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.133 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.133 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.133 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212075.133 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212075.133 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212075.134 * [misc]taylor: Taking taylor expansion of -1 in k 1545212075.134 * [misc]backup-simplify: Simplify -1 into -1 1545212075.134 * [misc]taylor: Taking taylor expansion of k in k 1545212075.134 * [misc]backup-simplify: Simplify 0 into 0 1545212075.134 * [misc]backup-simplify: Simplify 1 into 1 1545212075.134 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212075.134 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.135 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212075.135 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.135 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of k in k 1545212075.135 * [misc]backup-simplify: Simplify 0 into 0 1545212075.135 * [misc]backup-simplify: Simplify 1 into 1 1545212075.135 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.135 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.135 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.135 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212075.135 * [misc]taylor: Taking taylor expansion of -2 in k 1545212075.135 * [misc]backup-simplify: Simplify -2 into -2 1545212075.135 * [misc]taylor: Taking taylor expansion of n in k 1545212075.135 * [misc]backup-simplify: Simplify n into n 1545212075.135 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212075.136 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212075.136 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212075.136 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212075.136 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212075.136 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.136 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.136 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212075.136 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212075.137 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212075.137 * [misc]taylor: Taking taylor expansion of -1 in k 1545212075.137 * [misc]backup-simplify: Simplify -1 into -1 1545212075.137 * [misc]taylor: Taking taylor expansion of k in k 1545212075.137 * [misc]backup-simplify: Simplify 0 into 0 1545212075.137 * [misc]backup-simplify: Simplify 1 into 1 1545212075.137 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212075.137 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212075.137 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212075.138 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.138 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of k in k 1545212075.138 * [misc]backup-simplify: Simplify 0 into 0 1545212075.138 * [misc]backup-simplify: Simplify 1 into 1 1545212075.138 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212075.138 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212075.138 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.138 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212075.138 * [misc]taylor: Taking taylor expansion of -2 in k 1545212075.138 * [misc]backup-simplify: Simplify -2 into -2 1545212075.138 * [misc]taylor: Taking taylor expansion of n in k 1545212075.138 * [misc]backup-simplify: Simplify n into n 1545212075.138 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212075.138 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212075.139 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212075.139 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212075.139 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212075.139 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212075.139 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212075.139 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.139 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.139 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.139 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.139 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.139 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.139 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.140 * [misc]taylor: Taking taylor expansion of k in n 1545212075.140 * [misc]backup-simplify: Simplify k into k 1545212075.140 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.140 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.140 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.140 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.140 * [misc]backup-simplify: Simplify -2 into -2 1545212075.140 * [misc]taylor: Taking taylor expansion of n in n 1545212075.140 * [misc]backup-simplify: Simplify 0 into 0 1545212075.140 * [misc]backup-simplify: Simplify 1 into 1 1545212075.140 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.140 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.140 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.140 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.141 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.141 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.141 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.142 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.142 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212075.144 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212075.144 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.144 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.144 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.144 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.145 * [misc]taylor: Taking taylor expansion of k in n 1545212075.145 * [misc]backup-simplify: Simplify k into k 1545212075.145 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.145 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.145 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.145 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.145 * [misc]backup-simplify: Simplify -2 into -2 1545212075.145 * [misc]taylor: Taking taylor expansion of n in n 1545212075.145 * [misc]backup-simplify: Simplify 0 into 0 1545212075.145 * [misc]backup-simplify: Simplify 1 into 1 1545212075.145 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.145 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.145 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.146 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.147 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.147 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.148 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212075.148 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212075.148 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212075.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212075.151 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212075.151 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212075.151 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212075.152 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.152 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212075.153 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212075.154 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545212075.154 * [misc]backup-simplify: Simplify 0 into 0 1545212075.155 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212075.156 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212075.157 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212075.157 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212075.157 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212075.157 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of k in n 1545212075.157 * [misc]backup-simplify: Simplify k into k 1545212075.157 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212075.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212075.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212075.157 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212075.157 * [misc]taylor: Taking taylor expansion of -2 in n 1545212075.157 * [misc]backup-simplify: Simplify -2 into -2 1545212075.157 * [misc]taylor: Taking taylor expansion of n in n 1545212075.157 * [misc]backup-simplify: Simplify 0 into 0 1545212075.157 * [misc]backup-simplify: Simplify 1 into 1 1545212075.158 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212075.158 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212075.158 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212075.158 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212075.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212075.159 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212075.159 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212075.159 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.160 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212075.160 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212075.160 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212075.162 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545212075.162 * * * [misc]progress: simplifying candidates 1545212075.162 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1545212075.162 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1545212075.163 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545212075.163 * * [misc]simplify: iters left: 3 (5 enodes) 1545212075.164 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545212075.164 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.164 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1545212075.165 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212075.165 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.167 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.168 * * [misc]simplify: iters left: 3 (11 enodes) 1545212075.169 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212075.169 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.169 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1545212075.170 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212075.170 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.171 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.172 * * [misc]simplify: iters left: 3 (11 enodes) 1545212075.173 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212075.173 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.173 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1545212075.173 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212075.173 * * [misc]simplify: iters left: 4 (5 enodes) 1545212075.174 * * [misc]simplify: iters left: 3 (7 enodes) 1545212075.175 * * [misc]simplify: iters left: 2 (10 enodes) 1545212075.177 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212075.177 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.177 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1545212075.177 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545212075.177 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.178 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.179 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545212075.179 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.179 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1545212075.179 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545212075.179 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.180 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.181 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545212075.181 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.181 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1545212075.181 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1545212075.181 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1545212075.181 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1545212075.182 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1545212075.182 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1545212075.182 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1545212075.182 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1545212075.182 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545212075.182 * * [misc]simplify: iters left: 6 (9 enodes) 1545212075.185 * * [misc]simplify: iters left: 5 (16 enodes) 1545212075.187 * * [misc]simplify: iters left: 4 (32 enodes) 1545212075.193 * * [misc]simplify: iters left: 3 (68 enodes) 1545212075.209 * * [misc]simplify: iters left: 2 (171 enodes) 1545212075.276 * * [misc]simplify: iters left: 1 (342 enodes) 1545212075.463 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545212075.463 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545212075.463 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1545212075.463 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1545212075.464 * [enter]simplify: Simplifying (* n 2) 1545212075.464 * * [misc]simplify: iters left: 2 (3 enodes) 1545212075.465 * * [misc]simplify: iters left: 1 (4 enodes) 1545212075.466 * [exit]simplify: Simplified to (* n 2) 1545212075.466 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1545212075.466 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1545212075.466 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212075.466 * * [misc]simplify: iters left: 3 (6 enodes) 1545212075.468 * * [misc]simplify: iters left: 2 (7 enodes) 1545212075.470 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212075.470 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1545212075.470 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1545212075.471 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212075.471 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.472 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.475 * * [misc]simplify: iters left: 3 (11 enodes) 1545212075.478 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212075.478 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545212075.478 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1545212075.478 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212075.478 * * [misc]simplify: iters left: 5 (6 enodes) 1545212075.480 * * [misc]simplify: iters left: 4 (8 enodes) 1545212075.482 * * [misc]simplify: iters left: 3 (11 enodes) 1545212075.485 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212075.486 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545212075.486 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1545212075.486 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212075.486 * * [misc]simplify: iters left: 4 (5 enodes) 1545212075.488 * * [misc]simplify: iters left: 3 (7 enodes) 1545212075.490 * * [misc]simplify: iters left: 2 (10 enodes) 1545212075.493 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212075.493 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1545212075.493 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1545212075.494 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212075.494 * * [misc]simplify: iters left: 5 (7 enodes) 1545212075.496 * * [misc]simplify: iters left: 4 (10 enodes) 1545212075.497 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212075.497 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545212075.497 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1545212075.497 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212075.497 * * [misc]simplify: iters left: 5 (7 enodes) 1545212075.498 * * [misc]simplify: iters left: 4 (10 enodes) 1545212075.500 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212075.500 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545212075.500 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1545212075.500 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545212075.500 * * [misc]simplify: iters left: 5 (7 enodes) 1545212075.501 * * [misc]simplify: iters left: 4 (9 enodes) 1545212075.502 * * [misc]simplify: iters left: 3 (12 enodes) 1545212075.504 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212075.504 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545212075.504 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1545212075.504 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1545212075.505 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212075.505 * * [misc]simplify: iters left: 6 (18 enodes) 1545212075.508 * * [misc]simplify: iters left: 5 (36 enodes) 1545212075.515 * * [misc]simplify: iters left: 4 (90 enodes) 1545212075.540 * * [misc]simplify: iters left: 3 (297 enodes) 1545212075.691 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212075.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212075.692 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1545212075.692 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212075.692 * * [misc]simplify: iters left: 6 (18 enodes) 1545212075.695 * * [misc]simplify: iters left: 5 (36 enodes) 1545212075.702 * * [misc]simplify: iters left: 4 (90 enodes) 1545212075.734 * * [misc]simplify: iters left: 3 (297 enodes) 1545212075.881 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212075.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212075.881 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1545212075.882 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212075.882 * * [misc]simplify: iters left: 6 (18 enodes) 1545212075.888 * * [misc]simplify: iters left: 5 (34 enodes) 1545212075.900 * * [misc]simplify: iters left: 4 (78 enodes) 1545212075.917 * * [misc]simplify: iters left: 3 (217 enodes) 1545212076.026 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212076.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212076.026 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1545212076.027 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212076.027 * * [misc]simplify: iters left: 6 (17 enodes) 1545212076.029 * * [misc]simplify: iters left: 5 (30 enodes) 1545212076.035 * * [misc]simplify: iters left: 4 (65 enodes) 1545212076.050 * * [misc]simplify: iters left: 3 (170 enodes) 1545212076.096 * * [misc]simplify: iters left: 2 (315 enodes) 1545212076.210 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1545212076.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1545212076.210 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1545212076.211 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212076.211 * * [misc]simplify: iters left: 6 (18 enodes) 1545212076.216 * * [misc]simplify: iters left: 5 (33 enodes) 1545212076.222 * * [misc]simplify: iters left: 4 (68 enodes) 1545212076.240 * * [misc]simplify: iters left: 3 (204 enodes) 1545212076.360 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545212076.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545212076.360 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1545212076.360 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212076.361 * * [misc]simplify: iters left: 6 (18 enodes) 1545212076.364 * * [misc]simplify: iters left: 5 (33 enodes) 1545212076.370 * * [misc]simplify: iters left: 4 (68 enodes) 1545212076.396 * * [misc]simplify: iters left: 3 (204 enodes) 1545212076.492 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545212076.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545212076.493 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1545212076.493 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212076.493 * * [misc]simplify: iters left: 6 (18 enodes) 1545212076.496 * * [misc]simplify: iters left: 5 (31 enodes) 1545212076.501 * * [misc]simplify: iters left: 4 (56 enodes) 1545212076.519 * * [misc]simplify: iters left: 3 (127 enodes) 1545212076.594 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545212076.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545212076.594 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1545212076.595 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212076.595 * * [misc]simplify: iters left: 6 (17 enodes) 1545212076.600 * * [misc]simplify: iters left: 5 (27 enodes) 1545212076.608 * * [misc]simplify: iters left: 4 (44 enodes) 1545212076.622 * * [misc]simplify: iters left: 3 (84 enodes) 1545212076.646 * * [misc]simplify: iters left: 2 (222 enodes) 1545212076.758 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1545212076.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1545212076.759 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1545212076.759 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212076.759 * * [misc]simplify: iters left: 6 (19 enodes) 1545212076.767 * * [misc]simplify: iters left: 5 (38 enodes) 1545212076.779 * * [misc]simplify: iters left: 4 (77 enodes) 1545212076.810 * * [misc]simplify: iters left: 3 (215 enodes) 1545212076.949 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212076.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212076.949 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1545212076.950 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212076.950 * * [misc]simplify: iters left: 6 (19 enodes) 1545212076.954 * * [misc]simplify: iters left: 5 (38 enodes) 1545212076.960 * * [misc]simplify: iters left: 4 (77 enodes) 1545212076.980 * * [misc]simplify: iters left: 3 (215 enodes) 1545212077.096 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212077.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212077.096 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1545212077.096 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212077.096 * * [misc]simplify: iters left: 6 (19 enodes) 1545212077.103 * * [misc]simplify: iters left: 5 (36 enodes) 1545212077.114 * * [misc]simplify: iters left: 4 (65 enodes) 1545212077.126 * * [misc]simplify: iters left: 3 (130 enodes) 1545212077.194 * * [misc]simplify: iters left: 2 (462 enodes) 1545212077.656 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545212077.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545212077.657 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1545212077.657 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212077.657 * * [misc]simplify: iters left: 6 (18 enodes) 1545212077.664 * * [misc]simplify: iters left: 5 (32 enodes) 1545212077.672 * * [misc]simplify: iters left: 4 (47 enodes) 1545212077.686 * * [misc]simplify: iters left: 3 (73 enodes) 1545212077.710 * * [misc]simplify: iters left: 2 (156 enodes) 1545212077.806 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1545212077.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1545212077.806 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1545212077.806 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212077.806 * * [misc]simplify: iters left: 6 (19 enodes) 1545212077.811 * * [misc]simplify: iters left: 5 (40 enodes) 1545212077.820 * * [misc]simplify: iters left: 4 (82 enodes) 1545212077.851 * * [misc]simplify: iters left: 3 (210 enodes) 1545212077.986 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212077.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212077.986 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1545212077.986 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212077.986 * * [misc]simplify: iters left: 6 (19 enodes) 1545212077.991 * * [misc]simplify: iters left: 5 (40 enodes) 1545212077.997 * * [misc]simplify: iters left: 4 (82 enodes) 1545212078.024 * * [misc]simplify: iters left: 3 (210 enodes) 1545212078.200 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212078.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212078.200 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1545212078.201 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212078.201 * * [misc]simplify: iters left: 6 (19 enodes) 1545212078.209 * * [misc]simplify: iters left: 5 (38 enodes) 1545212078.221 * * [misc]simplify: iters left: 4 (70 enodes) 1545212078.245 * * [misc]simplify: iters left: 3 (133 enodes) 1545212078.359 * * [misc]simplify: iters left: 2 (490 enodes) 1545212078.685 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212078.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212078.686 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1545212078.686 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212078.686 * * [misc]simplify: iters left: 6 (18 enodes) 1545212078.690 * * [misc]simplify: iters left: 5 (34 enodes) 1545212078.695 * * [misc]simplify: iters left: 4 (56 enodes) 1545212078.704 * * [misc]simplify: iters left: 3 (83 enodes) 1545212078.745 * * [misc]simplify: iters left: 2 (189 enodes) 1545212078.882 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1545212078.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1545212078.882 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1545212078.882 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1545212078.882 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1545212078.882 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212078.883 * * [misc]simplify: iters left: 6 (22 enodes) 1545212078.887 * * [misc]simplify: iters left: 5 (49 enodes) 1545212078.897 * * [misc]simplify: iters left: 4 (146 enodes) 1545212078.988 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212078.988 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212078.988 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1545212078.988 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212078.988 * * [misc]simplify: iters left: 6 (20 enodes) 1545212078.997 * * [misc]simplify: iters left: 5 (48 enodes) 1545212079.013 * * [misc]simplify: iters left: 4 (131 enodes) 1545212079.084 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212079.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212079.084 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1545212079.084 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1545212079.084 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1545212079.084 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1545212079.085 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1545212079.086 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212079.086 * * [misc]simplify: iters left: 6 (20 enodes) 1545212079.090 * * [misc]simplify: iters left: 5 (33 enodes) 1545212079.094 * * [misc]simplify: iters left: 4 (46 enodes) 1545212079.101 * * [misc]simplify: iters left: 3 (53 enodes) 1545212079.107 * * [misc]simplify: iters left: 2 (56 enodes) 1545212079.118 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212079.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212079.118 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212079.118 * * [misc]simplify: iters left: 6 (18 enodes) 1545212079.125 * * [misc]simplify: iters left: 5 (25 enodes) 1545212079.129 * * [misc]simplify: iters left: 4 (29 enodes) 1545212079.134 * * [misc]simplify: iters left: 3 (33 enodes) 1545212079.138 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212079.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212079.138 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1545212079.138 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212079.138 * * [misc]simplify: iters left: 6 (19 enodes) 1545212079.141 * * [misc]simplify: iters left: 5 (28 enodes) 1545212079.145 * * [misc]simplify: iters left: 4 (34 enodes) 1545212079.150 * * [misc]simplify: iters left: 3 (39 enodes) 1545212079.156 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212079.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212079.156 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212079.156 * * [misc]simplify: iters left: 6 (18 enodes) 1545212079.159 * * [misc]simplify: iters left: 5 (25 enodes) 1545212079.165 * * [misc]simplify: iters left: 4 (29 enodes) 1545212079.173 * * [misc]simplify: iters left: 3 (33 enodes) 1545212079.182 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212079.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212079.182 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1545212079.182 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212079.183 * * [misc]simplify: iters left: 6 (20 enodes) 1545212079.191 * * [misc]simplify: iters left: 5 (34 enodes) 1545212079.198 * * [misc]simplify: iters left: 4 (53 enodes) 1545212079.207 * * [misc]simplify: iters left: 3 (98 enodes) 1545212079.227 * * [misc]simplify: iters left: 2 (155 enodes) 1545212079.270 * * [misc]simplify: iters left: 1 (186 enodes) 1545212079.327 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212079.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212079.327 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212079.328 * * [misc]simplify: iters left: 6 (19 enodes) 1545212079.334 * * [misc]simplify: iters left: 5 (29 enodes) 1545212079.342 * * [misc]simplify: iters left: 4 (34 enodes) 1545212079.348 * * [misc]simplify: iters left: 3 (40 enodes) 1545212079.353 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212079.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212079.353 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1545212079.353 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212079.353 * * [misc]simplify: iters left: 6 (20 enodes) 1545212079.357 * * [misc]simplify: iters left: 5 (34 enodes) 1545212079.362 * * [misc]simplify: iters left: 4 (53 enodes) 1545212079.371 * * [misc]simplify: iters left: 3 (98 enodes) 1545212079.404 * * [misc]simplify: iters left: 2 (155 enodes) 1545212079.460 * * [misc]simplify: iters left: 1 (186 enodes) 1545212079.529 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212079.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212079.529 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212079.529 * * [misc]simplify: iters left: 6 (19 enodes) 1545212079.536 * * [misc]simplify: iters left: 5 (29 enodes) 1545212079.544 * * [misc]simplify: iters left: 4 (34 enodes) 1545212079.554 * * [misc]simplify: iters left: 3 (40 enodes) 1545212079.563 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212079.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212079.563 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1545212079.564 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212079.564 * * [misc]simplify: iters left: 6 (19 enodes) 1545212079.571 * * [misc]simplify: iters left: 5 (31 enodes) 1545212079.579 * * [misc]simplify: iters left: 4 (50 enodes) 1545212079.596 * * [misc]simplify: iters left: 3 (95 enodes) 1545212079.613 * * [misc]simplify: iters left: 2 (150 enodes) 1545212079.658 * * [misc]simplify: iters left: 1 (181 enodes) 1545212079.715 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212079.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212079.716 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212079.716 * * [misc]simplify: iters left: 6 (16 enodes) 1545212079.719 * * [misc]simplify: iters left: 5 (24 enodes) 1545212079.722 * * [misc]simplify: iters left: 4 (31 enodes) 1545212079.727 * * [misc]simplify: iters left: 3 (37 enodes) 1545212079.731 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212079.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212079.732 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1545212079.732 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212079.732 * * [misc]simplify: iters left: 6 (22 enodes) 1545212079.736 * * [misc]simplify: iters left: 5 (39 enodes) 1545212079.742 * * [misc]simplify: iters left: 4 (74 enodes) 1545212079.758 * * [misc]simplify: iters left: 3 (149 enodes) 1545212079.793 * * [misc]simplify: iters left: 2 (277 enodes) 1545212079.929 * * [misc]simplify: iters left: 1 (387 enodes) 1545212080.104 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545212080.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212080.104 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.104 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.109 * * [misc]simplify: iters left: 5 (28 enodes) 1545212080.116 * * [misc]simplify: iters left: 4 (35 enodes) 1545212080.126 * * [misc]simplify: iters left: 3 (41 enodes) 1545212080.131 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212080.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212080.131 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1545212080.132 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.132 * * [misc]simplify: iters left: 6 (21 enodes) 1545212080.136 * * [misc]simplify: iters left: 5 (34 enodes) 1545212080.141 * * [misc]simplify: iters left: 4 (53 enodes) 1545212080.150 * * [misc]simplify: iters left: 3 (98 enodes) 1545212080.173 * * [misc]simplify: iters left: 2 (151 enodes) 1545212080.212 * * [misc]simplify: iters left: 1 (184 enodes) 1545212080.260 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212080.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212080.261 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.261 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.264 * * [misc]simplify: iters left: 5 (28 enodes) 1545212080.268 * * [misc]simplify: iters left: 4 (35 enodes) 1545212080.273 * * [misc]simplify: iters left: 3 (41 enodes) 1545212080.278 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212080.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212080.278 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1545212080.279 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212080.279 * * [misc]simplify: iters left: 6 (17 enodes) 1545212080.287 * * [misc]simplify: iters left: 5 (29 enodes) 1545212080.296 * * [misc]simplify: iters left: 4 (51 enodes) 1545212080.311 * * [misc]simplify: iters left: 3 (95 enodes) 1545212080.338 * * [misc]simplify: iters left: 2 (277 enodes) 1545212080.462 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212080.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212080.462 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212080.462 * * [misc]simplify: iters left: 6 (18 enodes) 1545212080.469 * * [misc]simplify: iters left: 5 (27 enodes) 1545212080.475 * * [misc]simplify: iters left: 4 (34 enodes) 1545212080.480 * * [misc]simplify: iters left: 3 (40 enodes) 1545212080.485 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212080.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212080.485 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1545212080.486 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212080.486 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.489 * * [misc]simplify: iters left: 5 (31 enodes) 1545212080.494 * * [misc]simplify: iters left: 4 (42 enodes) 1545212080.500 * * [misc]simplify: iters left: 3 (58 enodes) 1545212080.512 * * [misc]simplify: iters left: 2 (70 enodes) 1545212080.529 * * [misc]simplify: iters left: 1 (76 enodes) 1545212080.549 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545212080.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212080.549 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212080.549 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.555 * * [misc]simplify: iters left: 5 (29 enodes) 1545212080.562 * * [misc]simplify: iters left: 4 (34 enodes) 1545212080.571 * * [misc]simplify: iters left: 3 (40 enodes) 1545212080.580 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212080.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212080.580 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1545212080.580 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212080.580 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.588 * * [misc]simplify: iters left: 5 (31 enodes) 1545212080.596 * * [misc]simplify: iters left: 4 (42 enodes) 1545212080.607 * * [misc]simplify: iters left: 3 (58 enodes) 1545212080.621 * * [misc]simplify: iters left: 2 (70 enodes) 1545212080.636 * * [misc]simplify: iters left: 1 (76 enodes) 1545212080.648 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545212080.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212080.648 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212080.649 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.653 * * [misc]simplify: iters left: 5 (29 enodes) 1545212080.656 * * [misc]simplify: iters left: 4 (34 enodes) 1545212080.661 * * [misc]simplify: iters left: 3 (40 enodes) 1545212080.666 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212080.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212080.666 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1545212080.666 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212080.667 * * [misc]simplify: iters left: 6 (18 enodes) 1545212080.670 * * [misc]simplify: iters left: 5 (28 enodes) 1545212080.674 * * [misc]simplify: iters left: 4 (39 enodes) 1545212080.680 * * [misc]simplify: iters left: 3 (55 enodes) 1545212080.686 * * [misc]simplify: iters left: 2 (67 enodes) 1545212080.696 * * [misc]simplify: iters left: 1 (73 enodes) 1545212080.706 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212080.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212080.706 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212080.706 * * [misc]simplify: iters left: 6 (16 enodes) 1545212080.711 * * [misc]simplify: iters left: 5 (24 enodes) 1545212080.717 * * [misc]simplify: iters left: 4 (31 enodes) 1545212080.726 * * [misc]simplify: iters left: 3 (37 enodes) 1545212080.735 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212080.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212080.735 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1545212080.735 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212080.736 * * [misc]simplify: iters left: 6 (21 enodes) 1545212080.743 * * [misc]simplify: iters left: 5 (34 enodes) 1545212080.753 * * [misc]simplify: iters left: 4 (49 enodes) 1545212080.769 * * [misc]simplify: iters left: 3 (79 enodes) 1545212080.793 * * [misc]simplify: iters left: 2 (118 enodes) 1545212080.835 * * [misc]simplify: iters left: 1 (151 enodes) 1545212080.882 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1545212080.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212080.883 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.883 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.890 * * [misc]simplify: iters left: 5 (28 enodes) 1545212080.894 * * [misc]simplify: iters left: 4 (35 enodes) 1545212080.899 * * [misc]simplify: iters left: 3 (41 enodes) 1545212080.904 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212080.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212080.905 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1545212080.905 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.905 * * [misc]simplify: iters left: 6 (20 enodes) 1545212080.908 * * [misc]simplify: iters left: 5 (31 enodes) 1545212080.913 * * [misc]simplify: iters left: 4 (42 enodes) 1545212080.919 * * [misc]simplify: iters left: 3 (58 enodes) 1545212080.926 * * [misc]simplify: iters left: 2 (70 enodes) 1545212080.945 * * [misc]simplify: iters left: 1 (76 enodes) 1545212080.966 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1545212080.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212080.966 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212080.966 * * [misc]simplify: iters left: 6 (19 enodes) 1545212080.973 * * [misc]simplify: iters left: 5 (28 enodes) 1545212080.981 * * [misc]simplify: iters left: 4 (35 enodes) 1545212080.991 * * [misc]simplify: iters left: 3 (41 enodes) 1545212080.998 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212080.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212080.998 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1545212080.998 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1545212080.998 * * [misc]simplify: iters left: 6 (16 enodes) 1545212081.001 * * [misc]simplify: iters left: 5 (26 enodes) 1545212081.006 * * [misc]simplify: iters left: 4 (38 enodes) 1545212081.011 * * [misc]simplify: iters left: 3 (50 enodes) 1545212081.017 * * [misc]simplify: iters left: 2 (51 enodes) 1545212081.021 * * [misc]simplify: iters left: 1 (57 enodes) 1545212081.028 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212081.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212081.028 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212081.028 * * [misc]simplify: iters left: 6 (18 enodes) 1545212081.032 * * [misc]simplify: iters left: 5 (27 enodes) 1545212081.039 * * [misc]simplify: iters left: 4 (34 enodes) 1545212081.048 * * [misc]simplify: iters left: 3 (40 enodes) 1545212081.059 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212081.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212081.059 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1545212081.060 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1545212081.060 * * [misc]simplify: iters left: 6 (17 enodes) 1545212081.065 * * [misc]simplify: iters left: 5 (29 enodes) 1545212081.069 * * [misc]simplify: iters left: 4 (40 enodes) 1545212081.076 * * [misc]simplify: iters left: 3 (59 enodes) 1545212081.083 * * [misc]simplify: iters left: 2 (81 enodes) 1545212081.097 * * [misc]simplify: iters left: 1 (160 enodes) 1545212081.165 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212081.165 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212081.165 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212081.165 * * [misc]simplify: iters left: 6 (18 enodes) 1545212081.172 * * [misc]simplify: iters left: 5 (28 enodes) 1545212081.179 * * [misc]simplify: iters left: 4 (33 enodes) 1545212081.188 * * [misc]simplify: iters left: 3 (39 enodes) 1545212081.194 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212081.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212081.195 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1545212081.195 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1545212081.195 * * [misc]simplify: iters left: 6 (17 enodes) 1545212081.198 * * [misc]simplify: iters left: 5 (29 enodes) 1545212081.203 * * [misc]simplify: iters left: 4 (40 enodes) 1545212081.215 * * [misc]simplify: iters left: 3 (59 enodes) 1545212081.230 * * [misc]simplify: iters left: 2 (81 enodes) 1545212081.256 * * [misc]simplify: iters left: 1 (160 enodes) 1545212081.328 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212081.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212081.328 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212081.328 * * [misc]simplify: iters left: 6 (18 enodes) 1545212081.332 * * [misc]simplify: iters left: 5 (28 enodes) 1545212081.335 * * [misc]simplify: iters left: 4 (33 enodes) 1545212081.340 * * [misc]simplify: iters left: 3 (39 enodes) 1545212081.345 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212081.345 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212081.345 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1545212081.345 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212081.345 * * [misc]simplify: iters left: 6 (16 enodes) 1545212081.348 * * [misc]simplify: iters left: 5 (26 enodes) 1545212081.352 * * [misc]simplify: iters left: 4 (37 enodes) 1545212081.358 * * [misc]simplify: iters left: 3 (56 enodes) 1545212081.366 * * [misc]simplify: iters left: 2 (78 enodes) 1545212081.385 * * [misc]simplify: iters left: 1 (140 enodes) 1545212081.475 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212081.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212081.475 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212081.475 * * [misc]simplify: iters left: 6 (15 enodes) 1545212081.481 * * [misc]simplify: iters left: 5 (23 enodes) 1545212081.487 * * [misc]simplify: iters left: 4 (30 enodes) 1545212081.496 * * [misc]simplify: iters left: 3 (36 enodes) 1545212081.502 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212081.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212081.502 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1545212081.502 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212081.502 * * [misc]simplify: iters left: 6 (19 enodes) 1545212081.508 * * [misc]simplify: iters left: 5 (32 enodes) 1545212081.517 * * [misc]simplify: iters left: 4 (47 enodes) 1545212081.532 * * [misc]simplify: iters left: 3 (78 enodes) 1545212081.557 * * [misc]simplify: iters left: 2 (146 enodes) 1545212081.626 * * [misc]simplify: iters left: 1 (394 enodes) 1545212081.874 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212081.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212081.875 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212081.875 * * [misc]simplify: iters left: 6 (18 enodes) 1545212081.881 * * [misc]simplify: iters left: 5 (27 enodes) 1545212081.888 * * [misc]simplify: iters left: 4 (34 enodes) 1545212081.898 * * [misc]simplify: iters left: 3 (40 enodes) 1545212081.908 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212081.908 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212081.909 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1545212081.909 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212081.909 * * [misc]simplify: iters left: 6 (18 enodes) 1545212081.916 * * [misc]simplify: iters left: 5 (29 enodes) 1545212081.924 * * [misc]simplify: iters left: 4 (40 enodes) 1545212081.937 * * [misc]simplify: iters left: 3 (59 enodes) 1545212081.954 * * [misc]simplify: iters left: 2 (81 enodes) 1545212081.976 * * [misc]simplify: iters left: 1 (161 enodes) 1545212082.023 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212082.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212082.023 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.023 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.030 * * [misc]simplify: iters left: 5 (27 enodes) 1545212082.037 * * [misc]simplify: iters left: 4 (34 enodes) 1545212082.047 * * [misc]simplify: iters left: 3 (40 enodes) 1545212082.056 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212082.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212082.057 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1545212082.057 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1545212082.057 * * [misc]simplify: iters left: 6 (14 enodes) 1545212082.059 * * [misc]simplify: iters left: 5 (21 enodes) 1545212082.063 * * [misc]simplify: iters left: 4 (29 enodes) 1545212082.067 * * [misc]simplify: iters left: 3 (39 enodes) 1545212082.072 * * [misc]simplify: iters left: 2 (51 enodes) 1545212082.078 * * [misc]simplify: iters left: 1 (79 enodes) 1545212082.093 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212082.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.093 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212082.094 * * [misc]simplify: iters left: 6 (17 enodes) 1545212082.100 * * [misc]simplify: iters left: 5 (26 enodes) 1545212082.107 * * [misc]simplify: iters left: 4 (33 enodes) 1545212082.116 * * [misc]simplify: iters left: 3 (39 enodes) 1545212082.121 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212082.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212082.121 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1545212082.122 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1545212082.122 * * [misc]simplify: iters left: 6 (13 enodes) 1545212082.124 * * [misc]simplify: iters left: 5 (21 enodes) 1545212082.128 * * [misc]simplify: iters left: 4 (31 enodes) 1545212082.132 * * [misc]simplify: iters left: 3 (46 enodes) 1545212082.138 * * [misc]simplify: iters left: 2 (72 enodes) 1545212082.148 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212082.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.148 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212082.148 * * [misc]simplify: iters left: 6 (17 enodes) 1545212082.151 * * [misc]simplify: iters left: 5 (26 enodes) 1545212082.155 * * [misc]simplify: iters left: 4 (33 enodes) 1545212082.160 * * [misc]simplify: iters left: 3 (39 enodes) 1545212082.165 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212082.165 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212082.165 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1545212082.165 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1545212082.165 * * [misc]simplify: iters left: 6 (14 enodes) 1545212082.168 * * [misc]simplify: iters left: 5 (22 enodes) 1545212082.171 * * [misc]simplify: iters left: 4 (28 enodes) 1545212082.175 * * [misc]simplify: iters left: 3 (33 enodes) 1545212082.180 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212082.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.180 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212082.180 * * [misc]simplify: iters left: 6 (16 enodes) 1545212082.187 * * [misc]simplify: iters left: 5 (25 enodes) 1545212082.193 * * [misc]simplify: iters left: 4 (32 enodes) 1545212082.202 * * [misc]simplify: iters left: 3 (45 enodes) 1545212082.210 * * [misc]simplify: iters left: 2 (47 enodes) 1545212082.215 * * [misc]simplify: iters left: 1 (52 enodes) 1545212082.220 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212082.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545212082.221 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1545212082.221 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212082.221 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.224 * * [misc]simplify: iters left: 5 (30 enodes) 1545212082.228 * * [misc]simplify: iters left: 4 (41 enodes) 1545212082.235 * * [misc]simplify: iters left: 3 (57 enodes) 1545212082.242 * * [misc]simplify: iters left: 2 (69 enodes) 1545212082.251 * * [misc]simplify: iters left: 1 (75 enodes) 1545212082.262 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1545212082.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1545212082.262 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1545212082.262 * * [misc]simplify: iters left: 6 (15 enodes) 1545212082.268 * * [misc]simplify: iters left: 5 (22 enodes) 1545212082.274 * * [misc]simplify: iters left: 4 (26 enodes) 1545212082.281 * * [misc]simplify: iters left: 3 (30 enodes) 1545212082.290 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212082.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212082.290 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1545212082.291 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.291 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.294 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.298 * * [misc]simplify: iters left: 4 (32 enodes) 1545212082.303 * * [misc]simplify: iters left: 3 (36 enodes) 1545212082.308 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212082.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212082.308 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.308 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.311 * * [misc]simplify: iters left: 5 (25 enodes) 1545212082.315 * * [misc]simplify: iters left: 4 (29 enodes) 1545212082.319 * * [misc]simplify: iters left: 3 (33 enodes) 1545212082.323 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212082.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212082.324 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1545212082.324 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.324 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.327 * * [misc]simplify: iters left: 5 (25 enodes) 1545212082.331 * * [misc]simplify: iters left: 4 (29 enodes) 1545212082.335 * * [misc]simplify: iters left: 3 (33 enodes) 1545212082.339 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212082.339 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212082.339 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.339 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.343 * * [misc]simplify: iters left: 5 (25 enodes) 1545212082.349 * * [misc]simplify: iters left: 4 (29 enodes) 1545212082.357 * * [misc]simplify: iters left: 3 (33 enodes) 1545212082.365 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212082.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212082.365 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1545212082.366 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212082.366 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.373 * * [misc]simplify: iters left: 5 (31 enodes) 1545212082.381 * * [misc]simplify: iters left: 4 (42 enodes) 1545212082.393 * * [misc]simplify: iters left: 3 (58 enodes) 1545212082.410 * * [misc]simplify: iters left: 2 (63 enodes) 1545212082.424 * * [misc]simplify: iters left: 1 (70 enodes) 1545212082.436 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1545212082.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212082.436 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212082.436 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.440 * * [misc]simplify: iters left: 5 (29 enodes) 1545212082.444 * * [misc]simplify: iters left: 4 (34 enodes) 1545212082.449 * * [misc]simplify: iters left: 3 (40 enodes) 1545212082.453 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212082.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212082.453 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1545212082.454 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212082.454 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.457 * * [misc]simplify: iters left: 5 (31 enodes) 1545212082.461 * * [misc]simplify: iters left: 4 (42 enodes) 1545212082.472 * * [misc]simplify: iters left: 3 (58 enodes) 1545212082.483 * * [misc]simplify: iters left: 2 (63 enodes) 1545212082.491 * * [misc]simplify: iters left: 1 (70 enodes) 1545212082.499 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1545212082.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212082.500 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212082.500 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.505 * * [misc]simplify: iters left: 5 (29 enodes) 1545212082.509 * * [misc]simplify: iters left: 4 (34 enodes) 1545212082.519 * * [misc]simplify: iters left: 3 (40 enodes) 1545212082.529 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212082.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212082.529 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1545212082.529 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212082.530 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.536 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.544 * * [misc]simplify: iters left: 4 (39 enodes) 1545212082.555 * * [misc]simplify: iters left: 3 (55 enodes) 1545212082.569 * * [misc]simplify: iters left: 2 (60 enodes) 1545212082.583 * * [misc]simplify: iters left: 1 (67 enodes) 1545212082.599 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212082.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212082.599 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212082.600 * * [misc]simplify: iters left: 6 (16 enodes) 1545212082.605 * * [misc]simplify: iters left: 5 (24 enodes) 1545212082.612 * * [misc]simplify: iters left: 4 (31 enodes) 1545212082.618 * * [misc]simplify: iters left: 3 (37 enodes) 1545212082.623 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212082.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212082.623 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1545212082.623 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.623 * * [misc]simplify: iters left: 6 (21 enodes) 1545212082.627 * * [misc]simplify: iters left: 5 (36 enodes) 1545212082.632 * * [misc]simplify: iters left: 4 (58 enodes) 1545212082.643 * * [misc]simplify: iters left: 3 (85 enodes) 1545212082.668 * * [misc]simplify: iters left: 2 (115 enodes) 1545212082.687 * * [misc]simplify: iters left: 1 (139 enodes) 1545212082.715 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212082.716 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.716 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.722 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.730 * * [misc]simplify: iters left: 4 (35 enodes) 1545212082.737 * * [misc]simplify: iters left: 3 (41 enodes) 1545212082.742 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212082.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212082.742 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1545212082.743 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.743 * * [misc]simplify: iters left: 6 (20 enodes) 1545212082.746 * * [misc]simplify: iters left: 5 (31 enodes) 1545212082.751 * * [misc]simplify: iters left: 4 (42 enodes) 1545212082.757 * * [misc]simplify: iters left: 3 (58 enodes) 1545212082.764 * * [misc]simplify: iters left: 2 (63 enodes) 1545212082.772 * * [misc]simplify: iters left: 1 (70 enodes) 1545212082.786 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212082.786 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212082.786 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.792 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.796 * * [misc]simplify: iters left: 4 (35 enodes) 1545212082.801 * * [misc]simplify: iters left: 3 (41 enodes) 1545212082.806 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212082.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212082.806 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1545212082.806 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212082.806 * * [misc]simplify: iters left: 6 (16 enodes) 1545212082.809 * * [misc]simplify: iters left: 5 (26 enodes) 1545212082.814 * * [misc]simplify: iters left: 4 (41 enodes) 1545212082.819 * * [misc]simplify: iters left: 3 (63 enodes) 1545212082.833 * * [misc]simplify: iters left: 2 (129 enodes) 1545212082.867 * * [misc]simplify: iters left: 1 (190 enodes) 1545212082.900 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212082.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212082.900 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212082.900 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.903 * * [misc]simplify: iters left: 5 (27 enodes) 1545212082.907 * * [misc]simplify: iters left: 4 (34 enodes) 1545212082.912 * * [misc]simplify: iters left: 3 (40 enodes) 1545212082.918 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212082.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212082.919 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1545212082.919 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212082.919 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.922 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.929 * * [misc]simplify: iters left: 4 (35 enodes) 1545212082.938 * * [misc]simplify: iters left: 3 (41 enodes) 1545212082.948 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545212082.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212082.948 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212082.948 * * [misc]simplify: iters left: 6 (19 enodes) 1545212082.955 * * [misc]simplify: iters left: 5 (29 enodes) 1545212082.962 * * [misc]simplify: iters left: 4 (34 enodes) 1545212082.980 * * [misc]simplify: iters left: 3 (40 enodes) 1545212082.985 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212082.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212082.985 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1545212082.986 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212082.986 * * [misc]simplify: iters left: 6 (18 enodes) 1545212082.989 * * [misc]simplify: iters left: 5 (28 enodes) 1545212082.993 * * [misc]simplify: iters left: 4 (35 enodes) 1545212082.998 * * [misc]simplify: iters left: 3 (41 enodes) 1545212083.003 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545212083.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212083.004 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212083.004 * * [misc]simplify: iters left: 6 (19 enodes) 1545212083.007 * * [misc]simplify: iters left: 5 (29 enodes) 1545212083.015 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.025 * * [misc]simplify: iters left: 3 (40 enodes) 1545212083.034 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212083.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212083.034 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1545212083.035 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212083.035 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.041 * * [misc]simplify: iters left: 5 (25 enodes) 1545212083.047 * * [misc]simplify: iters left: 4 (32 enodes) 1545212083.058 * * [misc]simplify: iters left: 3 (38 enodes) 1545212083.067 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212083.067 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212083.068 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212083.068 * * [misc]simplify: iters left: 6 (16 enodes) 1545212083.073 * * [misc]simplify: iters left: 5 (24 enodes) 1545212083.076 * * [misc]simplify: iters left: 4 (31 enodes) 1545212083.081 * * [misc]simplify: iters left: 3 (37 enodes) 1545212083.085 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212083.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212083.085 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1545212083.086 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.086 * * [misc]simplify: iters left: 6 (20 enodes) 1545212083.090 * * [misc]simplify: iters left: 5 (31 enodes) 1545212083.094 * * [misc]simplify: iters left: 4 (40 enodes) 1545212083.101 * * [misc]simplify: iters left: 3 (53 enodes) 1545212083.108 * * [misc]simplify: iters left: 2 (61 enodes) 1545212083.114 * * [misc]simplify: iters left: 1 (63 enodes) 1545212083.122 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212083.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.123 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.123 * * [misc]simplify: iters left: 6 (19 enodes) 1545212083.126 * * [misc]simplify: iters left: 5 (28 enodes) 1545212083.130 * * [misc]simplify: iters left: 4 (35 enodes) 1545212083.135 * * [misc]simplify: iters left: 3 (41 enodes) 1545212083.145 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212083.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212083.146 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1545212083.146 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.146 * * [misc]simplify: iters left: 6 (19 enodes) 1545212083.154 * * [misc]simplify: iters left: 5 (28 enodes) 1545212083.162 * * [misc]simplify: iters left: 4 (35 enodes) 1545212083.172 * * [misc]simplify: iters left: 3 (41 enodes) 1545212083.182 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212083.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.182 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.183 * * [misc]simplify: iters left: 6 (19 enodes) 1545212083.189 * * [misc]simplify: iters left: 5 (28 enodes) 1545212083.197 * * [misc]simplify: iters left: 4 (35 enodes) 1545212083.203 * * [misc]simplify: iters left: 3 (41 enodes) 1545212083.208 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212083.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212083.208 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1545212083.209 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1545212083.209 * * [misc]simplify: iters left: 6 (15 enodes) 1545212083.212 * * [misc]simplify: iters left: 5 (23 enodes) 1545212083.215 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.220 * * [misc]simplify: iters left: 3 (39 enodes) 1545212083.224 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212083.224 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.224 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212083.225 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.228 * * [misc]simplify: iters left: 5 (27 enodes) 1545212083.232 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.238 * * [misc]simplify: iters left: 3 (40 enodes) 1545212083.246 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212083.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212083.246 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1545212083.246 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1545212083.246 * * [misc]simplify: iters left: 6 (16 enodes) 1545212083.249 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.253 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.258 * * [misc]simplify: iters left: 3 (46 enodes) 1545212083.269 * * [misc]simplify: iters left: 2 (48 enodes) 1545212083.278 * * [misc]simplify: iters left: 1 (53 enodes) 1545212083.289 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212083.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212083.290 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212083.290 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.297 * * [misc]simplify: iters left: 5 (28 enodes) 1545212083.304 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.314 * * [misc]simplify: iters left: 3 (39 enodes) 1545212083.323 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212083.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212083.324 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1545212083.324 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1545212083.324 * * [misc]simplify: iters left: 6 (16 enodes) 1545212083.330 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.337 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.347 * * [misc]simplify: iters left: 3 (46 enodes) 1545212083.358 * * [misc]simplify: iters left: 2 (48 enodes) 1545212083.367 * * [misc]simplify: iters left: 1 (53 enodes) 1545212083.379 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212083.379 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212083.380 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212083.380 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.386 * * [misc]simplify: iters left: 5 (28 enodes) 1545212083.394 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.400 * * [misc]simplify: iters left: 3 (39 enodes) 1545212083.405 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212083.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212083.405 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1545212083.405 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212083.405 * * [misc]simplify: iters left: 6 (15 enodes) 1545212083.408 * * [misc]simplify: iters left: 5 (23 enodes) 1545212083.413 * * [misc]simplify: iters left: 4 (30 enodes) 1545212083.418 * * [misc]simplify: iters left: 3 (43 enodes) 1545212083.423 * * [misc]simplify: iters left: 2 (45 enodes) 1545212083.431 * * [misc]simplify: iters left: 1 (50 enodes) 1545212083.442 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212083.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212083.442 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212083.443 * * [misc]simplify: iters left: 6 (15 enodes) 1545212083.448 * * [misc]simplify: iters left: 5 (23 enodes) 1545212083.455 * * [misc]simplify: iters left: 4 (30 enodes) 1545212083.464 * * [misc]simplify: iters left: 3 (36 enodes) 1545212083.473 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212083.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212083.473 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1545212083.474 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.474 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.481 * * [misc]simplify: iters left: 5 (29 enodes) 1545212083.489 * * [misc]simplify: iters left: 4 (38 enodes) 1545212083.499 * * [misc]simplify: iters left: 3 (55 enodes) 1545212083.507 * * [misc]simplify: iters left: 2 (64 enodes) 1545212083.514 * * [misc]simplify: iters left: 1 (74 enodes) 1545212083.525 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.525 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.526 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.530 * * [misc]simplify: iters left: 5 (27 enodes) 1545212083.539 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.548 * * [misc]simplify: iters left: 3 (40 enodes) 1545212083.558 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212083.558 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212083.558 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1545212083.558 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.558 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.565 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.571 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.581 * * [misc]simplify: iters left: 3 (46 enodes) 1545212083.592 * * [misc]simplify: iters left: 2 (48 enodes) 1545212083.600 * * [misc]simplify: iters left: 1 (53 enodes) 1545212083.611 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212083.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.612 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.612 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.619 * * [misc]simplify: iters left: 5 (27 enodes) 1545212083.626 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.636 * * [misc]simplify: iters left: 3 (40 enodes) 1545212083.645 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212083.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212083.645 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1545212083.645 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1545212083.646 * * [misc]simplify: iters left: 6 (13 enodes) 1545212083.649 * * [misc]simplify: iters left: 5 (18 enodes) 1545212083.655 * * [misc]simplify: iters left: 4 (26 enodes) 1545212083.662 * * [misc]simplify: iters left: 3 (30 enodes) 1545212083.669 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212083.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.669 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212083.669 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.675 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.681 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.692 * * [misc]simplify: iters left: 3 (39 enodes) 1545212083.701 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212083.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212083.701 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1545212083.701 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1545212083.702 * * [misc]simplify: iters left: 6 (12 enodes) 1545212083.706 * * [misc]simplify: iters left: 5 (18 enodes) 1545212083.711 * * [misc]simplify: iters left: 4 (24 enodes) 1545212083.716 * * [misc]simplify: iters left: 3 (25 enodes) 1545212083.721 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212083.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.722 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212083.722 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.727 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.734 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.743 * * [misc]simplify: iters left: 3 (39 enodes) 1545212083.749 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212083.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212083.749 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1545212083.750 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1545212083.750 * * [misc]simplify: iters left: 6 (13 enodes) 1545212083.752 * * [misc]simplify: iters left: 5 (19 enodes) 1545212083.755 * * [misc]simplify: iters left: 4 (23 enodes) 1545212083.758 * * [misc]simplify: iters left: 3 (27 enodes) 1545212083.761 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212083.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.762 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212083.762 * * [misc]simplify: iters left: 6 (16 enodes) 1545212083.765 * * [misc]simplify: iters left: 5 (25 enodes) 1545212083.768 * * [misc]simplify: iters left: 4 (32 enodes) 1545212083.773 * * [misc]simplify: iters left: 3 (45 enodes) 1545212083.779 * * [misc]simplify: iters left: 2 (47 enodes) 1545212083.783 * * [misc]simplify: iters left: 1 (52 enodes) 1545212083.789 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212083.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545212083.789 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1545212083.789 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212083.789 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.792 * * [misc]simplify: iters left: 5 (27 enodes) 1545212083.797 * * [misc]simplify: iters left: 4 (34 enodes) 1545212083.802 * * [misc]simplify: iters left: 3 (40 enodes) 1545212083.807 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1545212083.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1545212083.807 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1545212083.807 * * [misc]simplify: iters left: 6 (15 enodes) 1545212083.810 * * [misc]simplify: iters left: 5 (22 enodes) 1545212083.813 * * [misc]simplify: iters left: 4 (26 enodes) 1545212083.817 * * [misc]simplify: iters left: 3 (30 enodes) 1545212083.820 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212083.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212083.820 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1545212083.821 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212083.821 * * [misc]simplify: iters left: 6 (14 enodes) 1545212083.823 * * [misc]simplify: iters left: 5 (21 enodes) 1545212083.825 * * [misc]simplify: iters left: 4 (24 enodes) 1545212083.829 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.829 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.829 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.832 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.836 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.841 * * [misc]simplify: iters left: 3 (45 enodes) 1545212083.848 * * [misc]simplify: iters left: 2 (70 enodes) 1545212083.861 * * [misc]simplify: iters left: 1 (91 enodes) 1545212083.878 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.879 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1545212083.879 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.879 * * [misc]simplify: iters left: 6 (13 enodes) 1545212083.881 * * [misc]simplify: iters left: 5 (18 enodes) 1545212083.883 * * [misc]simplify: iters left: 4 (21 enodes) 1545212083.886 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.886 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.886 * * [misc]simplify: iters left: 6 (17 enodes) 1545212083.892 * * [misc]simplify: iters left: 5 (26 enodes) 1545212083.895 * * [misc]simplify: iters left: 4 (33 enodes) 1545212083.901 * * [misc]simplify: iters left: 3 (45 enodes) 1545212083.907 * * [misc]simplify: iters left: 2 (70 enodes) 1545212083.920 * * [misc]simplify: iters left: 1 (91 enodes) 1545212083.936 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212083.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212083.936 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1545212083.936 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212083.936 * * [misc]simplify: iters left: 6 (12 enodes) 1545212083.938 * * [misc]simplify: iters left: 5 (20 enodes) 1545212083.941 * * [misc]simplify: iters left: 4 (27 enodes) 1545212083.945 * * [misc]simplify: iters left: 3 (37 enodes) 1545212083.951 * * [misc]simplify: iters left: 2 (64 enodes) 1545212083.963 * * [misc]simplify: iters left: 1 (93 enodes) 1545212083.980 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212083.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212083.980 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212083.980 * * [misc]simplify: iters left: 6 (18 enodes) 1545212083.983 * * [misc]simplify: iters left: 5 (30 enodes) 1545212083.987 * * [misc]simplify: iters left: 4 (41 enodes) 1545212083.994 * * [misc]simplify: iters left: 3 (76 enodes) 1545212084.008 * * [misc]simplify: iters left: 2 (142 enodes) 1545212084.086 * * [misc]simplify: iters left: 1 (391 enodes) 1545212084.351 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212084.351 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212084.351 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1545212084.351 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212084.351 * * [misc]simplify: iters left: 6 (12 enodes) 1545212084.353 * * [misc]simplify: iters left: 5 (20 enodes) 1545212084.356 * * [misc]simplify: iters left: 4 (27 enodes) 1545212084.361 * * [misc]simplify: iters left: 3 (37 enodes) 1545212084.369 * * [misc]simplify: iters left: 2 (64 enodes) 1545212084.387 * * [misc]simplify: iters left: 1 (93 enodes) 1545212084.417 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212084.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212084.417 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212084.417 * * [misc]simplify: iters left: 6 (18 enodes) 1545212084.421 * * [misc]simplify: iters left: 5 (30 enodes) 1545212084.425 * * [misc]simplify: iters left: 4 (41 enodes) 1545212084.432 * * [misc]simplify: iters left: 3 (76 enodes) 1545212084.447 * * [misc]simplify: iters left: 2 (142 enodes) 1545212084.536 * * [misc]simplify: iters left: 1 (391 enodes) 1545212084.845 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212084.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212084.845 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1545212084.845 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212084.846 * * [misc]simplify: iters left: 6 (13 enodes) 1545212084.848 * * [misc]simplify: iters left: 5 (21 enodes) 1545212084.851 * * [misc]simplify: iters left: 4 (31 enodes) 1545212084.855 * * [misc]simplify: iters left: 3 (51 enodes) 1545212084.865 * * [misc]simplify: iters left: 2 (90 enodes) 1545212084.892 * * [misc]simplify: iters left: 1 (181 enodes) 1545212084.976 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212084.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212084.976 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212084.976 * * [misc]simplify: iters left: 6 (15 enodes) 1545212084.979 * * [misc]simplify: iters left: 5 (25 enodes) 1545212084.983 * * [misc]simplify: iters left: 4 (38 enodes) 1545212084.989 * * [misc]simplify: iters left: 3 (73 enodes) 1545212085.014 * * [misc]simplify: iters left: 2 (139 enodes) 1545212085.083 * * [misc]simplify: iters left: 1 (375 enodes) 1545212085.344 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545212085.344 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545212085.344 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1545212085.344 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212085.344 * * [misc]simplify: iters left: 6 (16 enodes) 1545212085.347 * * [misc]simplify: iters left: 5 (29 enodes) 1545212085.351 * * [misc]simplify: iters left: 4 (50 enodes) 1545212085.360 * * [misc]simplify: iters left: 3 (70 enodes) 1545212085.378 * * [misc]simplify: iters left: 2 (169 enodes) 1545212085.444 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212085.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212085.444 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212085.444 * * [misc]simplify: iters left: 6 (18 enodes) 1545212085.448 * * [misc]simplify: iters left: 5 (29 enodes) 1545212085.452 * * [misc]simplify: iters left: 4 (42 enodes) 1545212085.460 * * [misc]simplify: iters left: 3 (77 enodes) 1545212085.475 * * [misc]simplify: iters left: 2 (143 enodes) 1545212085.539 * * [misc]simplify: iters left: 1 (394 enodes) 1545212085.847 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212085.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212085.847 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1545212085.848 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212085.848 * * [misc]simplify: iters left: 6 (15 enodes) 1545212085.853 * * [misc]simplify: iters left: 5 (24 enodes) 1545212085.860 * * [misc]simplify: iters left: 4 (34 enodes) 1545212085.870 * * [misc]simplify: iters left: 3 (54 enodes) 1545212085.889 * * [misc]simplify: iters left: 2 (93 enodes) 1545212085.918 * * [misc]simplify: iters left: 1 (182 enodes) 1545212085.982 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212085.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212085.982 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212085.983 * * [misc]simplify: iters left: 6 (18 enodes) 1545212085.989 * * [misc]simplify: iters left: 5 (29 enodes) 1545212085.998 * * [misc]simplify: iters left: 4 (42 enodes) 1545212086.011 * * [misc]simplify: iters left: 3 (77 enodes) 1545212086.029 * * [misc]simplify: iters left: 2 (143 enodes) 1545212086.129 * * [misc]simplify: iters left: 1 (394 enodes) 1545212086.397 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212086.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212086.397 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1545212086.397 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212086.397 * * [misc]simplify: iters left: 6 (7 enodes) 1545212086.399 * * [misc]simplify: iters left: 5 (13 enodes) 1545212086.401 * * [misc]simplify: iters left: 4 (22 enodes) 1545212086.404 * * [misc]simplify: iters left: 3 (24 enodes) 1545212086.406 * * [misc]simplify: iters left: 2 (29 enodes) 1545212086.410 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545212086.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212086.410 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212086.410 * * [misc]simplify: iters left: 6 (17 enodes) 1545212086.414 * * [misc]simplify: iters left: 5 (28 enodes) 1545212086.419 * * [misc]simplify: iters left: 4 (41 enodes) 1545212086.428 * * [misc]simplify: iters left: 3 (76 enodes) 1545212086.442 * * [misc]simplify: iters left: 2 (142 enodes) 1545212086.504 * * [misc]simplify: iters left: 1 (380 enodes) 1545212086.768 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212086.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212086.768 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1545212086.768 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212086.768 * * [misc]simplify: iters left: 6 (11 enodes) 1545212086.770 * * [misc]simplify: iters left: 5 (17 enodes) 1545212086.773 * * [misc]simplify: iters left: 4 (20 enodes) 1545212086.775 * * [misc]simplify: iters left: 3 (22 enodes) 1545212086.779 * * [misc]simplify: iters left: 2 (34 enodes) 1545212086.784 * * [misc]simplify: iters left: 1 (42 enodes) 1545212086.788 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212086.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212086.789 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212086.789 * * [misc]simplify: iters left: 6 (18 enodes) 1545212086.792 * * [misc]simplify: iters left: 5 (30 enodes) 1545212086.796 * * [misc]simplify: iters left: 4 (41 enodes) 1545212086.804 * * [misc]simplify: iters left: 3 (76 enodes) 1545212086.821 * * [misc]simplify: iters left: 2 (142 enodes) 1545212086.914 * * [misc]simplify: iters left: 1 (391 enodes) 1545212087.245 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212087.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212087.245 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1545212087.245 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212087.245 * * [misc]simplify: iters left: 6 (11 enodes) 1545212087.247 * * [misc]simplify: iters left: 5 (17 enodes) 1545212087.249 * * [misc]simplify: iters left: 4 (20 enodes) 1545212087.252 * * [misc]simplify: iters left: 3 (22 enodes) 1545212087.255 * * [misc]simplify: iters left: 2 (34 enodes) 1545212087.260 * * [misc]simplify: iters left: 1 (42 enodes) 1545212087.265 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212087.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212087.266 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212087.266 * * [misc]simplify: iters left: 6 (18 enodes) 1545212087.269 * * [misc]simplify: iters left: 5 (30 enodes) 1545212087.274 * * [misc]simplify: iters left: 4 (41 enodes) 1545212087.281 * * [misc]simplify: iters left: 3 (76 enodes) 1545212087.295 * * [misc]simplify: iters left: 2 (142 enodes) 1545212087.351 * * [misc]simplify: iters left: 1 (391 enodes) 1545212087.610 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212087.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212087.611 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1545212087.611 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212087.611 * * [misc]simplify: iters left: 6 (12 enodes) 1545212087.613 * * [misc]simplify: iters left: 5 (18 enodes) 1545212087.615 * * [misc]simplify: iters left: 4 (24 enodes) 1545212087.619 * * [misc]simplify: iters left: 3 (32 enodes) 1545212087.627 * * [misc]simplify: iters left: 2 (41 enodes) 1545212087.637 * * [misc]simplify: iters left: 1 (51 enodes) 1545212087.649 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212087.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212087.650 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212087.650 * * [misc]simplify: iters left: 6 (15 enodes) 1545212087.656 * * [misc]simplify: iters left: 5 (25 enodes) 1545212087.663 * * [misc]simplify: iters left: 4 (38 enodes) 1545212087.676 * * [misc]simplify: iters left: 3 (73 enodes) 1545212087.704 * * [misc]simplify: iters left: 2 (139 enodes) 1545212087.778 * * [misc]simplify: iters left: 1 (375 enodes) 1545212088.002 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545212088.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545212088.002 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1545212088.002 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212088.002 * * [misc]simplify: iters left: 6 (15 enodes) 1545212088.004 * * [misc]simplify: iters left: 5 (24 enodes) 1545212088.008 * * [misc]simplify: iters left: 4 (32 enodes) 1545212088.013 * * [misc]simplify: iters left: 3 (43 enodes) 1545212088.020 * * [misc]simplify: iters left: 2 (69 enodes) 1545212088.032 * * [misc]simplify: iters left: 1 (119 enodes) 1545212088.064 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212088.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212088.065 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212088.065 * * [misc]simplify: iters left: 6 (18 enodes) 1545212088.068 * * [misc]simplify: iters left: 5 (29 enodes) 1545212088.072 * * [misc]simplify: iters left: 4 (42 enodes) 1545212088.080 * * [misc]simplify: iters left: 3 (77 enodes) 1545212088.094 * * [misc]simplify: iters left: 2 (143 enodes) 1545212088.187 * * [misc]simplify: iters left: 1 (394 enodes) 1545212088.467 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212088.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212088.467 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1545212088.467 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212088.467 * * [misc]simplify: iters left: 6 (14 enodes) 1545212088.469 * * [misc]simplify: iters left: 5 (21 enodes) 1545212088.472 * * [misc]simplify: iters left: 4 (27 enodes) 1545212088.475 * * [misc]simplify: iters left: 3 (35 enodes) 1545212088.481 * * [misc]simplify: iters left: 2 (43 enodes) 1545212088.486 * * [misc]simplify: iters left: 1 (56 enodes) 1545212088.494 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212088.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212088.494 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212088.494 * * [misc]simplify: iters left: 6 (18 enodes) 1545212088.497 * * [misc]simplify: iters left: 5 (29 enodes) 1545212088.504 * * [misc]simplify: iters left: 4 (42 enodes) 1545212088.518 * * [misc]simplify: iters left: 3 (77 enodes) 1545212088.537 * * [misc]simplify: iters left: 2 (143 enodes) 1545212088.595 * * [misc]simplify: iters left: 1 (394 enodes) 1545212088.890 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212088.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212088.890 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1545212088.891 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545212088.891 * * [misc]simplify: iters left: 6 (6 enodes) 1545212088.893 * * [misc]simplify: iters left: 5 (10 enodes) 1545212088.897 * * [misc]simplify: iters left: 4 (16 enodes) 1545212088.901 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545212088.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212088.901 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212088.901 * * [misc]simplify: iters left: 6 (17 enodes) 1545212088.908 * * [misc]simplify: iters left: 5 (28 enodes) 1545212088.916 * * [misc]simplify: iters left: 4 (41 enodes) 1545212088.931 * * [misc]simplify: iters left: 3 (76 enodes) 1545212088.961 * * [misc]simplify: iters left: 2 (142 enodes) 1545212089.058 * * [misc]simplify: iters left: 1 (380 enodes) 1545212089.428 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212089.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212089.429 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1545212089.429 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212089.429 * * [misc]simplify: iters left: 6 (8 enodes) 1545212089.431 * * [misc]simplify: iters left: 5 (14 enodes) 1545212089.432 * * [misc]simplify: iters left: 4 (15 enodes) 1545212089.435 * * [misc]simplify: iters left: 3 (19 enodes) 1545212089.437 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212089.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212089.437 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212089.437 * * [misc]simplify: iters left: 6 (17 enodes) 1545212089.440 * * [misc]simplify: iters left: 5 (29 enodes) 1545212089.444 * * [misc]simplify: iters left: 4 (40 enodes) 1545212089.451 * * [misc]simplify: iters left: 3 (75 enodes) 1545212089.478 * * [misc]simplify: iters left: 2 (141 enodes) 1545212089.574 * * [misc]simplify: iters left: 1 (379 enodes) 1545212089.818 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212089.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212089.818 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1545212089.819 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212089.819 * * [misc]simplify: iters left: 6 (8 enodes) 1545212089.821 * * [misc]simplify: iters left: 5 (14 enodes) 1545212089.822 * * [misc]simplify: iters left: 4 (15 enodes) 1545212089.825 * * [misc]simplify: iters left: 3 (19 enodes) 1545212089.827 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212089.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212089.827 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212089.827 * * [misc]simplify: iters left: 6 (17 enodes) 1545212089.830 * * [misc]simplify: iters left: 5 (29 enodes) 1545212089.834 * * [misc]simplify: iters left: 4 (40 enodes) 1545212089.842 * * [misc]simplify: iters left: 3 (75 enodes) 1545212089.861 * * [misc]simplify: iters left: 2 (141 enodes) 1545212089.936 * * [misc]simplify: iters left: 1 (379 enodes) 1545212090.272 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212090.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212090.272 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1545212090.272 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212090.272 * * [misc]simplify: iters left: 6 (10 enodes) 1545212090.277 * * [misc]simplify: iters left: 5 (16 enodes) 1545212090.281 * * [misc]simplify: iters left: 4 (20 enodes) 1545212090.287 * * [misc]simplify: iters left: 3 (24 enodes) 1545212090.292 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212090.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212090.293 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212090.293 * * [misc]simplify: iters left: 6 (14 enodes) 1545212090.299 * * [misc]simplify: iters left: 5 (24 enodes) 1545212090.306 * * [misc]simplify: iters left: 4 (37 enodes) 1545212090.318 * * [misc]simplify: iters left: 3 (72 enodes) 1545212090.331 * * [misc]simplify: iters left: 2 (138 enodes) 1545212090.394 * * [misc]simplify: iters left: 1 (391 enodes) 1545212090.663 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1545212090.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545212090.663 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1545212090.664 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212090.664 * * [misc]simplify: iters left: 6 (13 enodes) 1545212090.669 * * [misc]simplify: iters left: 5 (22 enodes) 1545212090.675 * * [misc]simplify: iters left: 4 (26 enodes) 1545212090.686 * * [misc]simplify: iters left: 3 (32 enodes) 1545212090.694 * * [misc]simplify: iters left: 2 (34 enodes) 1545212090.703 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212090.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212090.703 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212090.703 * * [misc]simplify: iters left: 6 (17 enodes) 1545212090.709 * * [misc]simplify: iters left: 5 (28 enodes) 1545212090.717 * * [misc]simplify: iters left: 4 (41 enodes) 1545212090.731 * * [misc]simplify: iters left: 3 (76 enodes) 1545212090.758 * * [misc]simplify: iters left: 2 (142 enodes) 1545212090.826 * * [misc]simplify: iters left: 1 (382 enodes) 1545212091.190 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545212091.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545212091.190 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1545212091.190 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212091.190 * * [misc]simplify: iters left: 6 (12 enodes) 1545212091.195 * * [misc]simplify: iters left: 5 (19 enodes) 1545212091.199 * * [misc]simplify: iters left: 4 (23 enodes) 1545212091.206 * * [misc]simplify: iters left: 3 (27 enodes) 1545212091.212 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212091.212 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212091.212 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212091.213 * * [misc]simplify: iters left: 6 (17 enodes) 1545212091.218 * * [misc]simplify: iters left: 5 (28 enodes) 1545212091.227 * * [misc]simplify: iters left: 4 (41 enodes) 1545212091.241 * * [misc]simplify: iters left: 3 (76 enodes) 1545212091.268 * * [misc]simplify: iters left: 2 (142 enodes) 1545212091.346 * * [misc]simplify: iters left: 1 (382 enodes) 1545212091.669 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545212091.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545212091.669 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1545212091.670 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545212091.670 * * [misc]simplify: iters left: 4 (3 enodes) 1545212091.670 * * [misc]simplify: iters left: 3 (5 enodes) 1545212091.671 * [exit]simplify: Simplified to 1 1545212091.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212091.671 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212091.671 * * [misc]simplify: iters left: 6 (16 enodes) 1545212091.674 * * [misc]simplify: iters left: 5 (27 enodes) 1545212091.678 * * [misc]simplify: iters left: 4 (40 enodes) 1545212091.685 * * [misc]simplify: iters left: 3 (75 enodes) 1545212091.699 * * [misc]simplify: iters left: 2 (141 enodes) 1545212091.770 * * [misc]simplify: iters left: 1 (376 enodes) 1545212092.061 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212092.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545212092.061 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1545212092.061 * [enter]simplify: Simplifying (/ 1 1) 1545212092.061 * * [misc]simplify: iters left: 2 (2 enodes) 1545212092.062 * * [misc]simplify: iters left: 1 (4 enodes) 1545212092.062 * [exit]simplify: Simplified to 1 1545212092.062 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212092.062 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212092.062 * * [misc]simplify: iters left: 6 (16 enodes) 1545212092.067 * * [misc]simplify: iters left: 5 (27 enodes) 1545212092.071 * * [misc]simplify: iters left: 4 (40 enodes) 1545212092.078 * * [misc]simplify: iters left: 3 (75 enodes) 1545212092.103 * * [misc]simplify: iters left: 2 (141 enodes) 1545212092.203 * * [misc]simplify: iters left: 1 (376 enodes) 1545212092.534 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212092.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545212092.534 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1545212092.534 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545212092.534 * * [misc]simplify: iters left: 3 (4 enodes) 1545212092.535 * * [misc]simplify: iters left: 2 (6 enodes) 1545212092.536 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545212092.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212092.536 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212092.536 * * [misc]simplify: iters left: 6 (15 enodes) 1545212092.539 * * [misc]simplify: iters left: 5 (26 enodes) 1545212092.543 * * [misc]simplify: iters left: 4 (35 enodes) 1545212092.549 * * [misc]simplify: iters left: 3 (61 enodes) 1545212092.560 * * [misc]simplify: iters left: 2 (82 enodes) 1545212092.574 * * [misc]simplify: iters left: 1 (85 enodes) 1545212092.597 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545212092.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545212092.597 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1545212092.597 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545212092.597 * * [misc]simplify: iters left: 6 (10 enodes) 1545212092.600 * * [misc]simplify: iters left: 5 (16 enodes) 1545212092.605 * * [misc]simplify: iters left: 4 (19 enodes) 1545212092.610 * * [misc]simplify: iters left: 3 (21 enodes) 1545212092.616 * * [misc]simplify: iters left: 2 (33 enodes) 1545212092.625 * * [misc]simplify: iters left: 1 (41 enodes) 1545212092.634 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545212092.634 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1545212092.634 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1545212092.634 * * [misc]simplify: iters left: 6 (14 enodes) 1545212092.639 * * [misc]simplify: iters left: 5 (23 enodes) 1545212092.646 * * [misc]simplify: iters left: 4 (30 enodes) 1545212092.653 * * [misc]simplify: iters left: 3 (42 enodes) 1545212092.660 * * [misc]simplify: iters left: 2 (67 enodes) 1545212092.672 * * [misc]simplify: iters left: 1 (88 enodes) 1545212092.687 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545212092.687 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545212092.687 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1545212092.687 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212092.687 * * [misc]simplify: iters left: 6 (14 enodes) 1545212092.689 * * [misc]simplify: iters left: 5 (21 enodes) 1545212092.693 * * [misc]simplify: iters left: 4 (24 enodes) 1545212092.700 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.700 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212092.700 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.700 * * [misc]simplify: iters left: 6 (17 enodes) 1545212092.708 * * [misc]simplify: iters left: 5 (26 enodes) 1545212092.715 * * [misc]simplify: iters left: 4 (33 enodes) 1545212092.725 * * [misc]simplify: iters left: 3 (45 enodes) 1545212092.737 * * [misc]simplify: iters left: 2 (70 enodes) 1545212092.762 * * [misc]simplify: iters left: 1 (91 enodes) 1545212092.779 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212092.779 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1545212092.779 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.780 * * [misc]simplify: iters left: 6 (13 enodes) 1545212092.781 * * [misc]simplify: iters left: 5 (18 enodes) 1545212092.784 * * [misc]simplify: iters left: 4 (21 enodes) 1545212092.787 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212092.787 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.787 * * [misc]simplify: iters left: 6 (17 enodes) 1545212092.793 * * [misc]simplify: iters left: 5 (26 enodes) 1545212092.800 * * [misc]simplify: iters left: 4 (33 enodes) 1545212092.810 * * [misc]simplify: iters left: 3 (45 enodes) 1545212092.823 * * [misc]simplify: iters left: 2 (70 enodes) 1545212092.850 * * [misc]simplify: iters left: 1 (91 enodes) 1545212092.882 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212092.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212092.883 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1545212092.883 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212092.883 * * [misc]simplify: iters left: 6 (12 enodes) 1545212092.885 * * [misc]simplify: iters left: 5 (20 enodes) 1545212092.888 * * [misc]simplify: iters left: 4 (27 enodes) 1545212092.892 * * [misc]simplify: iters left: 3 (37 enodes) 1545212092.899 * * [misc]simplify: iters left: 2 (64 enodes) 1545212092.911 * * [misc]simplify: iters left: 1 (93 enodes) 1545212092.935 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212092.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212092.936 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212092.936 * * [misc]simplify: iters left: 6 (18 enodes) 1545212092.942 * * [misc]simplify: iters left: 5 (30 enodes) 1545212092.952 * * [misc]simplify: iters left: 4 (41 enodes) 1545212092.966 * * [misc]simplify: iters left: 3 (76 enodes) 1545212092.993 * * [misc]simplify: iters left: 2 (142 enodes) 1545212093.092 * * [misc]simplify: iters left: 1 (391 enodes) 1545212093.403 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212093.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212093.403 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1545212093.404 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212093.404 * * [misc]simplify: iters left: 6 (12 enodes) 1545212093.408 * * [misc]simplify: iters left: 5 (20 enodes) 1545212093.413 * * [misc]simplify: iters left: 4 (27 enodes) 1545212093.421 * * [misc]simplify: iters left: 3 (37 enodes) 1545212093.434 * * [misc]simplify: iters left: 2 (64 enodes) 1545212093.454 * * [misc]simplify: iters left: 1 (93 enodes) 1545212093.472 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212093.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212093.472 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212093.472 * * [misc]simplify: iters left: 6 (18 enodes) 1545212093.475 * * [misc]simplify: iters left: 5 (30 enodes) 1545212093.480 * * [misc]simplify: iters left: 4 (41 enodes) 1545212093.490 * * [misc]simplify: iters left: 3 (76 enodes) 1545212093.504 * * [misc]simplify: iters left: 2 (142 enodes) 1545212093.586 * * [misc]simplify: iters left: 1 (391 enodes) 1545212093.931 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212093.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212093.931 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1545212093.931 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212093.931 * * [misc]simplify: iters left: 6 (13 enodes) 1545212093.935 * * [misc]simplify: iters left: 5 (21 enodes) 1545212093.938 * * [misc]simplify: iters left: 4 (31 enodes) 1545212093.943 * * [misc]simplify: iters left: 3 (51 enodes) 1545212093.952 * * [misc]simplify: iters left: 2 (90 enodes) 1545212093.969 * * [misc]simplify: iters left: 1 (181 enodes) 1545212094.021 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212094.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212094.021 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212094.021 * * [misc]simplify: iters left: 6 (15 enodes) 1545212094.025 * * [misc]simplify: iters left: 5 (25 enodes) 1545212094.032 * * [misc]simplify: iters left: 4 (38 enodes) 1545212094.045 * * [misc]simplify: iters left: 3 (73 enodes) 1545212094.065 * * [misc]simplify: iters left: 2 (139 enodes) 1545212094.132 * * [misc]simplify: iters left: 1 (375 enodes) 1545212094.418 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545212094.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545212094.418 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1545212094.418 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212094.418 * * [misc]simplify: iters left: 6 (16 enodes) 1545212094.424 * * [misc]simplify: iters left: 5 (29 enodes) 1545212094.430 * * [misc]simplify: iters left: 4 (50 enodes) 1545212094.440 * * [misc]simplify: iters left: 3 (70 enodes) 1545212094.454 * * [misc]simplify: iters left: 2 (169 enodes) 1545212094.520 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212094.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212094.520 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212094.520 * * [misc]simplify: iters left: 6 (18 enodes) 1545212094.529 * * [misc]simplify: iters left: 5 (29 enodes) 1545212094.537 * * [misc]simplify: iters left: 4 (42 enodes) 1545212094.549 * * [misc]simplify: iters left: 3 (77 enodes) 1545212094.563 * * [misc]simplify: iters left: 2 (143 enodes) 1545212094.634 * * [misc]simplify: iters left: 1 (394 enodes) 1545212094.934 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212094.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212094.934 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1545212094.934 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212094.934 * * [misc]simplify: iters left: 6 (15 enodes) 1545212094.936 * * [misc]simplify: iters left: 5 (24 enodes) 1545212094.940 * * [misc]simplify: iters left: 4 (34 enodes) 1545212094.945 * * [misc]simplify: iters left: 3 (54 enodes) 1545212094.955 * * [misc]simplify: iters left: 2 (93 enodes) 1545212094.970 * * [misc]simplify: iters left: 1 (182 enodes) 1545212095.049 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212095.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212095.050 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212095.050 * * [misc]simplify: iters left: 6 (18 enodes) 1545212095.056 * * [misc]simplify: iters left: 5 (29 enodes) 1545212095.064 * * [misc]simplify: iters left: 4 (42 enodes) 1545212095.078 * * [misc]simplify: iters left: 3 (77 enodes) 1545212095.097 * * [misc]simplify: iters left: 2 (143 enodes) 1545212095.166 * * [misc]simplify: iters left: 1 (394 enodes) 1545212095.440 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212095.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212095.440 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1545212095.441 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212095.441 * * [misc]simplify: iters left: 6 (7 enodes) 1545212095.443 * * [misc]simplify: iters left: 5 (13 enodes) 1545212095.447 * * [misc]simplify: iters left: 4 (22 enodes) 1545212095.452 * * [misc]simplify: iters left: 3 (24 enodes) 1545212095.456 * * [misc]simplify: iters left: 2 (29 enodes) 1545212095.462 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545212095.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212095.462 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212095.462 * * [misc]simplify: iters left: 6 (17 enodes) 1545212095.468 * * [misc]simplify: iters left: 5 (28 enodes) 1545212095.475 * * [misc]simplify: iters left: 4 (41 enodes) 1545212095.488 * * [misc]simplify: iters left: 3 (76 enodes) 1545212095.513 * * [misc]simplify: iters left: 2 (142 enodes) 1545212095.599 * * [misc]simplify: iters left: 1 (380 enodes) 1545212095.930 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212095.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212095.930 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1545212095.931 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212095.931 * * [misc]simplify: iters left: 6 (11 enodes) 1545212095.934 * * [misc]simplify: iters left: 5 (17 enodes) 1545212095.938 * * [misc]simplify: iters left: 4 (20 enodes) 1545212095.943 * * [misc]simplify: iters left: 3 (22 enodes) 1545212095.949 * * [misc]simplify: iters left: 2 (34 enodes) 1545212095.957 * * [misc]simplify: iters left: 1 (42 enodes) 1545212095.966 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212095.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212095.966 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212095.966 * * [misc]simplify: iters left: 6 (18 enodes) 1545212095.972 * * [misc]simplify: iters left: 5 (30 enodes) 1545212095.980 * * [misc]simplify: iters left: 4 (41 enodes) 1545212095.992 * * [misc]simplify: iters left: 3 (76 enodes) 1545212096.014 * * [misc]simplify: iters left: 2 (142 enodes) 1545212096.087 * * [misc]simplify: iters left: 1 (391 enodes) 1545212096.413 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212096.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212096.413 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1545212096.413 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212096.413 * * [misc]simplify: iters left: 6 (11 enodes) 1545212096.417 * * [misc]simplify: iters left: 5 (17 enodes) 1545212096.421 * * [misc]simplify: iters left: 4 (20 enodes) 1545212096.427 * * [misc]simplify: iters left: 3 (22 enodes) 1545212096.430 * * [misc]simplify: iters left: 2 (34 enodes) 1545212096.437 * * [misc]simplify: iters left: 1 (42 enodes) 1545212096.442 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212096.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212096.442 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212096.442 * * [misc]simplify: iters left: 6 (18 enodes) 1545212096.446 * * [misc]simplify: iters left: 5 (30 enodes) 1545212096.450 * * [misc]simplify: iters left: 4 (41 enodes) 1545212096.457 * * [misc]simplify: iters left: 3 (76 enodes) 1545212096.472 * * [misc]simplify: iters left: 2 (142 enodes) 1545212096.529 * * [misc]simplify: iters left: 1 (391 enodes) 1545212096.782 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212096.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212096.782 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1545212096.782 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212096.782 * * [misc]simplify: iters left: 6 (12 enodes) 1545212096.786 * * [misc]simplify: iters left: 5 (18 enodes) 1545212096.791 * * [misc]simplify: iters left: 4 (24 enodes) 1545212096.797 * * [misc]simplify: iters left: 3 (32 enodes) 1545212096.807 * * [misc]simplify: iters left: 2 (41 enodes) 1545212096.817 * * [misc]simplify: iters left: 1 (51 enodes) 1545212096.829 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212096.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212096.829 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212096.829 * * [misc]simplify: iters left: 6 (15 enodes) 1545212096.835 * * [misc]simplify: iters left: 5 (25 enodes) 1545212096.844 * * [misc]simplify: iters left: 4 (38 enodes) 1545212096.856 * * [misc]simplify: iters left: 3 (73 enodes) 1545212096.871 * * [misc]simplify: iters left: 2 (139 enodes) 1545212096.955 * * [misc]simplify: iters left: 1 (375 enodes) 1545212097.205 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1545212097.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1545212097.205 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1545212097.205 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212097.205 * * [misc]simplify: iters left: 6 (15 enodes) 1545212097.208 * * [misc]simplify: iters left: 5 (24 enodes) 1545212097.213 * * [misc]simplify: iters left: 4 (32 enodes) 1545212097.217 * * [misc]simplify: iters left: 3 (43 enodes) 1545212097.224 * * [misc]simplify: iters left: 2 (69 enodes) 1545212097.240 * * [misc]simplify: iters left: 1 (119 enodes) 1545212097.285 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212097.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212097.285 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212097.286 * * [misc]simplify: iters left: 6 (18 enodes) 1545212097.289 * * [misc]simplify: iters left: 5 (29 enodes) 1545212097.293 * * [misc]simplify: iters left: 4 (42 enodes) 1545212097.300 * * [misc]simplify: iters left: 3 (77 enodes) 1545212097.328 * * [misc]simplify: iters left: 2 (143 enodes) 1545212097.386 * * [misc]simplify: iters left: 1 (394 enodes) 1545212097.683 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212097.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212097.683 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1545212097.684 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212097.684 * * [misc]simplify: iters left: 6 (14 enodes) 1545212097.686 * * [misc]simplify: iters left: 5 (21 enodes) 1545212097.689 * * [misc]simplify: iters left: 4 (27 enodes) 1545212097.692 * * [misc]simplify: iters left: 3 (35 enodes) 1545212097.699 * * [misc]simplify: iters left: 2 (43 enodes) 1545212097.705 * * [misc]simplify: iters left: 1 (56 enodes) 1545212097.713 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212097.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212097.713 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212097.713 * * [misc]simplify: iters left: 6 (18 enodes) 1545212097.719 * * [misc]simplify: iters left: 5 (29 enodes) 1545212097.728 * * [misc]simplify: iters left: 4 (42 enodes) 1545212097.741 * * [misc]simplify: iters left: 3 (77 enodes) 1545212097.771 * * [misc]simplify: iters left: 2 (143 enodes) 1545212097.842 * * [misc]simplify: iters left: 1 (394 enodes) 1545212098.088 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212098.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212098.088 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1545212098.088 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545212098.088 * * [misc]simplify: iters left: 6 (6 enodes) 1545212098.089 * * [misc]simplify: iters left: 5 (10 enodes) 1545212098.092 * * [misc]simplify: iters left: 4 (16 enodes) 1545212098.095 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545212098.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212098.095 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212098.096 * * [misc]simplify: iters left: 6 (17 enodes) 1545212098.101 * * [misc]simplify: iters left: 5 (28 enodes) 1545212098.105 * * [misc]simplify: iters left: 4 (41 enodes) 1545212098.112 * * [misc]simplify: iters left: 3 (76 enodes) 1545212098.126 * * [misc]simplify: iters left: 2 (142 enodes) 1545212098.189 * * [misc]simplify: iters left: 1 (380 enodes) 1545212098.533 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1545212098.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1545212098.533 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1545212098.533 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212098.533 * * [misc]simplify: iters left: 6 (8 enodes) 1545212098.537 * * [misc]simplify: iters left: 5 (14 enodes) 1545212098.540 * * [misc]simplify: iters left: 4 (15 enodes) 1545212098.542 * * [misc]simplify: iters left: 3 (19 enodes) 1545212098.546 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212098.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212098.546 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212098.546 * * [misc]simplify: iters left: 6 (17 enodes) 1545212098.549 * * [misc]simplify: iters left: 5 (29 enodes) 1545212098.553 * * [misc]simplify: iters left: 4 (40 enodes) 1545212098.561 * * [misc]simplify: iters left: 3 (75 enodes) 1545212098.582 * * [misc]simplify: iters left: 2 (141 enodes) 1545212098.656 * * [misc]simplify: iters left: 1 (379 enodes) 1545212099.345 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212099.345 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212099.345 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1545212099.345 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212099.345 * * [misc]simplify: iters left: 6 (8 enodes) 1545212099.347 * * [misc]simplify: iters left: 5 (14 enodes) 1545212099.349 * * [misc]simplify: iters left: 4 (15 enodes) 1545212099.351 * * [misc]simplify: iters left: 3 (19 enodes) 1545212099.353 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212099.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212099.354 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212099.354 * * [misc]simplify: iters left: 6 (17 enodes) 1545212099.357 * * [misc]simplify: iters left: 5 (29 enodes) 1545212099.361 * * [misc]simplify: iters left: 4 (40 enodes) 1545212099.373 * * [misc]simplify: iters left: 3 (75 enodes) 1545212099.398 * * [misc]simplify: iters left: 2 (141 enodes) 1545212099.471 * * [misc]simplify: iters left: 1 (379 enodes) 1545212099.724 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212099.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212099.724 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1545212099.724 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212099.724 * * [misc]simplify: iters left: 6 (10 enodes) 1545212099.726 * * [misc]simplify: iters left: 5 (16 enodes) 1545212099.728 * * [misc]simplify: iters left: 4 (20 enodes) 1545212099.732 * * [misc]simplify: iters left: 3 (24 enodes) 1545212099.734 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212099.735 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212099.735 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212099.735 * * [misc]simplify: iters left: 6 (14 enodes) 1545212099.738 * * [misc]simplify: iters left: 5 (24 enodes) 1545212099.741 * * [misc]simplify: iters left: 4 (37 enodes) 1545212099.748 * * [misc]simplify: iters left: 3 (72 enodes) 1545212099.763 * * [misc]simplify: iters left: 2 (138 enodes) 1545212099.821 * * [misc]simplify: iters left: 1 (391 enodes) 1545212100.164 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1545212100.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545212100.164 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1545212100.164 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212100.164 * * [misc]simplify: iters left: 6 (13 enodes) 1545212100.167 * * [misc]simplify: iters left: 5 (22 enodes) 1545212100.170 * * [misc]simplify: iters left: 4 (26 enodes) 1545212100.174 * * [misc]simplify: iters left: 3 (32 enodes) 1545212100.178 * * [misc]simplify: iters left: 2 (34 enodes) 1545212100.182 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212100.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212100.183 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212100.183 * * [misc]simplify: iters left: 6 (17 enodes) 1545212100.186 * * [misc]simplify: iters left: 5 (28 enodes) 1545212100.192 * * [misc]simplify: iters left: 4 (41 enodes) 1545212100.206 * * [misc]simplify: iters left: 3 (76 enodes) 1545212100.237 * * [misc]simplify: iters left: 2 (142 enodes) 1545212100.299 * * [misc]simplify: iters left: 1 (382 enodes) 1545212100.617 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545212100.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545212100.617 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1545212100.617 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212100.618 * * [misc]simplify: iters left: 6 (12 enodes) 1545212100.622 * * [misc]simplify: iters left: 5 (19 enodes) 1545212100.627 * * [misc]simplify: iters left: 4 (23 enodes) 1545212100.634 * * [misc]simplify: iters left: 3 (27 enodes) 1545212100.640 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212100.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212100.641 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212100.641 * * [misc]simplify: iters left: 6 (17 enodes) 1545212100.649 * * [misc]simplify: iters left: 5 (28 enodes) 1545212100.657 * * [misc]simplify: iters left: 4 (41 enodes) 1545212100.669 * * [misc]simplify: iters left: 3 (76 enodes) 1545212100.684 * * [misc]simplify: iters left: 2 (142 enodes) 1545212100.740 * * [misc]simplify: iters left: 1 (382 enodes) 1545212101.082 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1545212101.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1545212101.083 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1545212101.083 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545212101.083 * * [misc]simplify: iters left: 4 (3 enodes) 1545212101.083 * * [misc]simplify: iters left: 3 (5 enodes) 1545212101.084 * [exit]simplify: Simplified to 1 1545212101.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212101.084 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212101.084 * * [misc]simplify: iters left: 6 (16 enodes) 1545212101.087 * * [misc]simplify: iters left: 5 (27 enodes) 1545212101.091 * * [misc]simplify: iters left: 4 (40 enodes) 1545212101.099 * * [misc]simplify: iters left: 3 (75 enodes) 1545212101.113 * * [misc]simplify: iters left: 2 (141 enodes) 1545212101.173 * * [misc]simplify: iters left: 1 (376 enodes) 1545212101.554 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212101.554 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545212101.554 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1545212101.554 * [enter]simplify: Simplifying (/ 1 1) 1545212101.554 * * [misc]simplify: iters left: 2 (2 enodes) 1545212101.555 * * [misc]simplify: iters left: 1 (4 enodes) 1545212101.556 * [exit]simplify: Simplified to 1 1545212101.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212101.556 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212101.556 * * [misc]simplify: iters left: 6 (16 enodes) 1545212101.562 * * [misc]simplify: iters left: 5 (27 enodes) 1545212101.570 * * [misc]simplify: iters left: 4 (40 enodes) 1545212101.583 * * [misc]simplify: iters left: 3 (75 enodes) 1545212101.611 * * [misc]simplify: iters left: 2 (141 enodes) 1545212101.692 * * [misc]simplify: iters left: 1 (376 enodes) 1545212101.970 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545212101.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1545212101.970 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1545212101.970 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545212101.970 * * [misc]simplify: iters left: 3 (4 enodes) 1545212101.971 * * [misc]simplify: iters left: 2 (6 enodes) 1545212101.974 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545212101.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212101.975 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212101.975 * * [misc]simplify: iters left: 6 (15 enodes) 1545212101.980 * * [misc]simplify: iters left: 5 (26 enodes) 1545212101.986 * * [misc]simplify: iters left: 4 (35 enodes) 1545212101.992 * * [misc]simplify: iters left: 3 (61 enodes) 1545212102.003 * * [misc]simplify: iters left: 2 (82 enodes) 1545212102.016 * * [misc]simplify: iters left: 1 (85 enodes) 1545212102.035 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545212102.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545212102.035 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1545212102.036 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545212102.036 * * [misc]simplify: iters left: 6 (10 enodes) 1545212102.039 * * [misc]simplify: iters left: 5 (16 enodes) 1545212102.043 * * [misc]simplify: iters left: 4 (19 enodes) 1545212102.048 * * [misc]simplify: iters left: 3 (21 enodes) 1545212102.055 * * [misc]simplify: iters left: 2 (33 enodes) 1545212102.064 * * [misc]simplify: iters left: 1 (41 enodes) 1545212102.072 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545212102.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1545212102.073 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1545212102.073 * * [misc]simplify: iters left: 6 (14 enodes) 1545212102.078 * * [misc]simplify: iters left: 5 (23 enodes) 1545212102.085 * * [misc]simplify: iters left: 4 (30 enodes) 1545212102.095 * * [misc]simplify: iters left: 3 (42 enodes) 1545212102.107 * * [misc]simplify: iters left: 2 (67 enodes) 1545212102.131 * * [misc]simplify: iters left: 1 (88 enodes) 1545212102.160 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545212102.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545212102.160 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1545212102.161 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212102.161 * * [misc]simplify: iters left: 6 (15 enodes) 1545212102.164 * * [misc]simplify: iters left: 5 (22 enodes) 1545212102.167 * * [misc]simplify: iters left: 4 (25 enodes) 1545212102.171 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212102.171 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212102.171 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.171 * * [misc]simplify: iters left: 6 (14 enodes) 1545212102.173 * * [misc]simplify: iters left: 5 (17 enodes) 1545212102.176 * * [misc]simplify: iters left: 4 (20 enodes) 1545212102.179 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212102.179 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1545212102.179 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.179 * * [misc]simplify: iters left: 6 (14 enodes) 1545212102.181 * * [misc]simplify: iters left: 5 (19 enodes) 1545212102.184 * * [misc]simplify: iters left: 4 (22 enodes) 1545212102.187 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212102.187 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.187 * * [misc]simplify: iters left: 6 (14 enodes) 1545212102.189 * * [misc]simplify: iters left: 5 (17 enodes) 1545212102.192 * * [misc]simplify: iters left: 4 (20 enodes) 1545212102.194 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212102.195 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1545212102.195 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212102.195 * * [misc]simplify: iters left: 6 (13 enodes) 1545212102.197 * * [misc]simplify: iters left: 5 (21 enodes) 1545212102.200 * * [misc]simplify: iters left: 4 (28 enodes) 1545212102.203 * * [misc]simplify: iters left: 3 (36 enodes) 1545212102.211 * * [misc]simplify: iters left: 2 (62 enodes) 1545212102.222 * * [misc]simplify: iters left: 1 (94 enodes) 1545212102.256 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545212102.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212102.256 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212102.256 * * [misc]simplify: iters left: 6 (15 enodes) 1545212102.259 * * [misc]simplify: iters left: 5 (21 enodes) 1545212102.261 * * [misc]simplify: iters left: 4 (25 enodes) 1545212102.265 * * [misc]simplify: iters left: 3 (27 enodes) 1545212102.268 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212102.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212102.268 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1545212102.269 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212102.269 * * [misc]simplify: iters left: 6 (13 enodes) 1545212102.271 * * [misc]simplify: iters left: 5 (21 enodes) 1545212102.273 * * [misc]simplify: iters left: 4 (28 enodes) 1545212102.277 * * [misc]simplify: iters left: 3 (36 enodes) 1545212102.283 * * [misc]simplify: iters left: 2 (62 enodes) 1545212102.300 * * [misc]simplify: iters left: 1 (94 enodes) 1545212102.326 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545212102.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212102.326 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212102.327 * * [misc]simplify: iters left: 6 (15 enodes) 1545212102.329 * * [misc]simplify: iters left: 5 (21 enodes) 1545212102.332 * * [misc]simplify: iters left: 4 (25 enodes) 1545212102.335 * * [misc]simplify: iters left: 3 (27 enodes) 1545212102.339 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212102.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212102.339 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1545212102.339 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212102.340 * * [misc]simplify: iters left: 6 (14 enodes) 1545212102.342 * * [misc]simplify: iters left: 5 (22 enodes) 1545212102.345 * * [misc]simplify: iters left: 4 (32 enodes) 1545212102.352 * * [misc]simplify: iters left: 3 (55 enodes) 1545212102.372 * * [misc]simplify: iters left: 2 (97 enodes) 1545212102.406 * * [misc]simplify: iters left: 1 (209 enodes) 1545212102.493 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212102.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212102.494 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212102.494 * * [misc]simplify: iters left: 6 (12 enodes) 1545212102.496 * * [misc]simplify: iters left: 5 (16 enodes) 1545212102.498 * * [misc]simplify: iters left: 4 (22 enodes) 1545212102.501 * * [misc]simplify: iters left: 3 (24 enodes) 1545212102.504 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212102.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212102.504 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1545212102.504 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212102.504 * * [misc]simplify: iters left: 6 (17 enodes) 1545212102.507 * * [misc]simplify: iters left: 5 (30 enodes) 1545212102.512 * * [misc]simplify: iters left: 4 (51 enodes) 1545212102.521 * * [misc]simplify: iters left: 3 (67 enodes) 1545212102.544 * * [misc]simplify: iters left: 2 (156 enodes) 1545212102.595 * * [misc]simplify: iters left: 1 (456 enodes) 1545212102.982 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212102.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212102.982 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212102.982 * * [misc]simplify: iters left: 6 (15 enodes) 1545212102.985 * * [misc]simplify: iters left: 5 (20 enodes) 1545212102.991 * * [misc]simplify: iters left: 4 (26 enodes) 1545212102.998 * * [misc]simplify: iters left: 3 (28 enodes) 1545212103.005 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212103.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212103.006 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1545212103.006 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.006 * * [misc]simplify: iters left: 6 (16 enodes) 1545212103.011 * * [misc]simplify: iters left: 5 (25 enodes) 1545212103.017 * * [misc]simplify: iters left: 4 (35 enodes) 1545212103.027 * * [misc]simplify: iters left: 3 (58 enodes) 1545212103.039 * * [misc]simplify: iters left: 2 (99 enodes) 1545212103.056 * * [misc]simplify: iters left: 1 (192 enodes) 1545212103.149 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212103.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212103.149 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.150 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.154 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.160 * * [misc]simplify: iters left: 4 (26 enodes) 1545212103.163 * * [misc]simplify: iters left: 3 (28 enodes) 1545212103.167 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212103.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212103.167 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1545212103.167 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212103.168 * * [misc]simplify: iters left: 6 (8 enodes) 1545212103.169 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.171 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.174 * * [misc]simplify: iters left: 3 (29 enodes) 1545212103.178 * * [misc]simplify: iters left: 2 (45 enodes) 1545212103.186 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545212103.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.186 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.186 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.188 * * [misc]simplify: iters left: 5 (19 enodes) 1545212103.191 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.194 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.198 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212103.198 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212103.198 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1545212103.198 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212103.198 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.200 * * [misc]simplify: iters left: 5 (18 enodes) 1545212103.202 * * [misc]simplify: iters left: 4 (21 enodes) 1545212103.207 * * [misc]simplify: iters left: 3 (23 enodes) 1545212103.214 * * [misc]simplify: iters left: 2 (35 enodes) 1545212103.223 * * [misc]simplify: iters left: 1 (43 enodes) 1545212103.232 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212103.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212103.232 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212103.232 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.237 * * [misc]simplify: iters left: 5 (21 enodes) 1545212103.243 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.249 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.252 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212103.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212103.252 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1545212103.252 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212103.252 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.254 * * [misc]simplify: iters left: 5 (18 enodes) 1545212103.256 * * [misc]simplify: iters left: 4 (21 enodes) 1545212103.259 * * [misc]simplify: iters left: 3 (23 enodes) 1545212103.263 * * [misc]simplify: iters left: 2 (35 enodes) 1545212103.267 * * [misc]simplify: iters left: 1 (43 enodes) 1545212103.272 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212103.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212103.272 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212103.272 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.274 * * [misc]simplify: iters left: 5 (21 enodes) 1545212103.279 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.287 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.294 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212103.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212103.294 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1545212103.295 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212103.295 * * [misc]simplify: iters left: 6 (13 enodes) 1545212103.299 * * [misc]simplify: iters left: 5 (19 enodes) 1545212103.304 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.310 * * [misc]simplify: iters left: 3 (34 enodes) 1545212103.321 * * [misc]simplify: iters left: 2 (44 enodes) 1545212103.330 * * [misc]simplify: iters left: 1 (59 enodes) 1545212103.338 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212103.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212103.338 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212103.339 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.340 * * [misc]simplify: iters left: 5 (16 enodes) 1545212103.343 * * [misc]simplify: iters left: 4 (22 enodes) 1545212103.346 * * [misc]simplify: iters left: 3 (24 enodes) 1545212103.349 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212103.349 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212103.349 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1545212103.349 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.349 * * [misc]simplify: iters left: 6 (16 enodes) 1545212103.352 * * [misc]simplify: iters left: 5 (25 enodes) 1545212103.355 * * [misc]simplify: iters left: 4 (33 enodes) 1545212103.359 * * [misc]simplify: iters left: 3 (41 enodes) 1545212103.366 * * [misc]simplify: iters left: 2 (64 enodes) 1545212103.376 * * [misc]simplify: iters left: 1 (95 enodes) 1545212103.392 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212103.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212103.393 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.393 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.395 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.398 * * [misc]simplify: iters left: 4 (26 enodes) 1545212103.403 * * [misc]simplify: iters left: 3 (28 enodes) 1545212103.410 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212103.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212103.410 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1545212103.410 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.411 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.416 * * [misc]simplify: iters left: 5 (22 enodes) 1545212103.420 * * [misc]simplify: iters left: 4 (28 enodes) 1545212103.424 * * [misc]simplify: iters left: 3 (37 enodes) 1545212103.430 * * [misc]simplify: iters left: 2 (47 enodes) 1545212103.436 * * [misc]simplify: iters left: 1 (62 enodes) 1545212103.445 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212103.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212103.445 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.445 * * [misc]simplify: iters left: 6 (15 enodes) 1545212103.447 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.453 * * [misc]simplify: iters left: 4 (26 enodes) 1545212103.460 * * [misc]simplify: iters left: 3 (28 enodes) 1545212103.467 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212103.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212103.468 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1545212103.468 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1545212103.468 * * [misc]simplify: iters left: 6 (7 enodes) 1545212103.470 * * [misc]simplify: iters left: 5 (11 enodes) 1545212103.474 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.476 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545212103.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.477 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.477 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.479 * * [misc]simplify: iters left: 5 (19 enodes) 1545212103.481 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.486 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.489 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212103.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212103.489 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1545212103.489 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1545212103.489 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.492 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.493 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545212103.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212103.494 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212103.494 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.496 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.498 * * [misc]simplify: iters left: 4 (24 enodes) 1545212103.502 * * [misc]simplify: iters left: 3 (26 enodes) 1545212103.505 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212103.505 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212103.505 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1545212103.506 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1545212103.506 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.508 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.509 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545212103.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212103.510 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212103.510 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.512 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.515 * * [misc]simplify: iters left: 4 (24 enodes) 1545212103.518 * * [misc]simplify: iters left: 3 (26 enodes) 1545212103.521 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212103.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212103.521 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1545212103.522 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212103.522 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.524 * * [misc]simplify: iters left: 5 (17 enodes) 1545212103.526 * * [misc]simplify: iters left: 4 (20 enodes) 1545212103.529 * * [misc]simplify: iters left: 3 (24 enodes) 1545212103.531 * * [misc]simplify: iters left: 2 (26 enodes) 1545212103.534 * * [misc]simplify: iters left: 1 (28 enodes) 1545212103.541 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212103.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212103.541 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212103.541 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.545 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.549 * * [misc]simplify: iters left: 4 (21 enodes) 1545212103.555 * * [misc]simplify: iters left: 3 (23 enodes) 1545212103.561 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212103.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212103.561 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1545212103.561 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.561 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.567 * * [misc]simplify: iters left: 5 (23 enodes) 1545212103.573 * * [misc]simplify: iters left: 4 (26 enodes) 1545212103.580 * * [misc]simplify: iters left: 3 (31 enodes) 1545212103.587 * * [misc]simplify: iters left: 2 (34 enodes) 1545212103.598 * * [misc]simplify: iters left: 1 (48 enodes) 1545212103.613 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212103.614 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.614 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.618 * * [misc]simplify: iters left: 5 (19 enodes) 1545212103.624 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.631 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.638 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.638 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1545212103.638 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.639 * * [misc]simplify: iters left: 6 (13 enodes) 1545212103.644 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.649 * * [misc]simplify: iters left: 4 (23 enodes) 1545212103.655 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.661 * * [misc]simplify: iters left: 2 (29 enodes) 1545212103.667 * * [misc]simplify: iters left: 1 (31 enodes) 1545212103.676 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212103.676 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212103.676 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.676 * * [misc]simplify: iters left: 6 (14 enodes) 1545212103.680 * * [misc]simplify: iters left: 5 (19 enodes) 1545212103.686 * * [misc]simplify: iters left: 4 (25 enodes) 1545212103.693 * * [misc]simplify: iters left: 3 (27 enodes) 1545212103.700 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.700 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1545212103.700 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1545212103.700 * * [misc]simplify: iters left: 4 (3 enodes) 1545212103.702 * * [misc]simplify: iters left: 3 (5 enodes) 1545212103.702 * [exit]simplify: Simplified to 1 1545212103.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.703 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.703 * * [misc]simplify: iters left: 6 (13 enodes) 1545212103.707 * * [misc]simplify: iters left: 5 (18 enodes) 1545212103.712 * * [misc]simplify: iters left: 4 (24 enodes) 1545212103.718 * * [misc]simplify: iters left: 3 (26 enodes) 1545212103.725 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212103.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212103.725 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1545212103.726 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1545212103.726 * * [misc]simplify: iters left: 4 (3 enodes) 1545212103.727 * * [misc]simplify: iters left: 3 (5 enodes) 1545212103.727 * [exit]simplify: Simplified to 1 1545212103.728 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.728 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.728 * * [misc]simplify: iters left: 6 (13 enodes) 1545212103.732 * * [misc]simplify: iters left: 5 (18 enodes) 1545212103.738 * * [misc]simplify: iters left: 4 (24 enodes) 1545212103.744 * * [misc]simplify: iters left: 3 (26 enodes) 1545212103.748 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212103.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212103.748 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1545212103.749 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1545212103.749 * * [misc]simplify: iters left: 4 (5 enodes) 1545212103.749 * * [misc]simplify: iters left: 3 (7 enodes) 1545212103.750 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545212103.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.750 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.750 * * [misc]simplify: iters left: 6 (13 enodes) 1545212103.752 * * [misc]simplify: iters left: 5 (20 enodes) 1545212103.755 * * [misc]simplify: iters left: 4 (26 enodes) 1545212103.759 * * [misc]simplify: iters left: 3 (36 enodes) 1545212103.764 * * [misc]simplify: iters left: 2 (38 enodes) 1545212103.768 * * [misc]simplify: iters left: 1 (43 enodes) 1545212103.774 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545212103.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545212103.774 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1545212103.774 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212103.774 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.778 * * [misc]simplify: iters left: 5 (17 enodes) 1545212103.782 * * [misc]simplify: iters left: 4 (20 enodes) 1545212103.787 * * [misc]simplify: iters left: 3 (22 enodes) 1545212103.793 * * [misc]simplify: iters left: 2 (34 enodes) 1545212103.802 * * [misc]simplify: iters left: 1 (42 enodes) 1545212103.811 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545212103.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1545212103.811 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1545212103.811 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.815 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.819 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.824 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545212103.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545212103.824 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1545212103.824 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1545212103.824 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1545212103.824 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1545212103.824 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.824 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.828 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.832 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.836 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.837 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.837 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1545212103.837 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.837 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.840 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.844 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.849 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.849 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1545212103.850 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212103.850 * * [misc]simplify: iters left: 6 (10 enodes) 1545212103.853 * * [misc]simplify: iters left: 5 (13 enodes) 1545212103.856 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212103.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212103.857 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1545212103.857 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212103.857 * * [misc]simplify: iters left: 6 (10 enodes) 1545212103.860 * * [misc]simplify: iters left: 5 (13 enodes) 1545212103.864 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212103.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212103.864 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1545212103.865 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212103.865 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.868 * * [misc]simplify: iters left: 5 (11 enodes) 1545212103.871 * * [misc]simplify: iters left: 4 (14 enodes) 1545212103.875 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212103.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212103.875 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1545212103.875 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.875 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.880 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.884 * * [misc]simplify: iters left: 4 (18 enodes) 1545212103.890 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.890 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1545212103.890 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.890 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.894 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.898 * * [misc]simplify: iters left: 4 (18 enodes) 1545212103.903 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.903 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1545212103.904 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212103.904 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.907 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.911 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.916 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212103.916 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.916 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1545212103.917 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212103.917 * * [misc]simplify: iters left: 6 (10 enodes) 1545212103.920 * * [misc]simplify: iters left: 5 (13 enodes) 1545212103.923 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212103.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212103.924 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1545212103.924 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212103.924 * * [misc]simplify: iters left: 6 (10 enodes) 1545212103.927 * * [misc]simplify: iters left: 5 (13 enodes) 1545212103.931 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212103.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212103.931 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1545212103.931 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212103.931 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.934 * * [misc]simplify: iters left: 5 (11 enodes) 1545212103.937 * * [misc]simplify: iters left: 4 (14 enodes) 1545212103.941 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212103.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212103.942 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1545212103.942 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.942 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.946 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.950 * * [misc]simplify: iters left: 4 (18 enodes) 1545212103.955 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.955 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1545212103.956 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.956 * * [misc]simplify: iters left: 6 (12 enodes) 1545212103.959 * * [misc]simplify: iters left: 5 (15 enodes) 1545212103.964 * * [misc]simplify: iters left: 4 (18 enodes) 1545212103.969 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212103.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212103.969 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1545212103.969 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212103.969 * * [misc]simplify: iters left: 6 (11 enodes) 1545212103.972 * * [misc]simplify: iters left: 5 (14 enodes) 1545212103.976 * * [misc]simplify: iters left: 4 (17 enodes) 1545212103.981 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212103.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212103.981 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1545212103.982 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212103.982 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.984 * * [misc]simplify: iters left: 5 (12 enodes) 1545212103.988 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212103.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545212103.988 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1545212103.989 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212103.989 * * [misc]simplify: iters left: 6 (9 enodes) 1545212103.991 * * [misc]simplify: iters left: 5 (12 enodes) 1545212103.995 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212103.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545212103.995 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1545212103.995 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212103.995 * * [misc]simplify: iters left: 6 (8 enodes) 1545212103.996 * * [misc]simplify: iters left: 5 (10 enodes) 1545212103.998 * * [misc]simplify: iters left: 4 (13 enodes) 1545212104.000 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212104.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545212104.000 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1545212104.000 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.000 * * [misc]simplify: iters left: 6 (11 enodes) 1545212104.002 * * [misc]simplify: iters left: 5 (14 enodes) 1545212104.004 * * [misc]simplify: iters left: 4 (17 enodes) 1545212104.006 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212104.006 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1545212104.007 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.007 * * [misc]simplify: iters left: 6 (11 enodes) 1545212104.008 * * [misc]simplify: iters left: 5 (14 enodes) 1545212104.010 * * [misc]simplify: iters left: 4 (17 enodes) 1545212104.013 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212104.013 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1545212104.013 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.013 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.015 * * [misc]simplify: iters left: 5 (13 enodes) 1545212104.017 * * [misc]simplify: iters left: 4 (16 enodes) 1545212104.019 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212104.020 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1545212104.020 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.020 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.021 * * [misc]simplify: iters left: 5 (13 enodes) 1545212104.023 * * [misc]simplify: iters left: 4 (16 enodes) 1545212104.025 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.025 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212104.026 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1545212104.026 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.026 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.027 * * [misc]simplify: iters left: 5 (15 enodes) 1545212104.030 * * [misc]simplify: iters left: 4 (18 enodes) 1545212104.032 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212104.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212104.032 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1545212104.032 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212104.032 * * [misc]simplify: iters left: 3 (6 enodes) 1545212104.033 * * [misc]simplify: iters left: 2 (7 enodes) 1545212104.034 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212104.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1545212104.034 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1545212104.035 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1545212104.035 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.039 * * [misc]simplify: iters left: 5 (18 enodes) 1545212104.044 * * [misc]simplify: iters left: 4 (22 enodes) 1545212104.050 * * [misc]simplify: iters left: 3 (26 enodes) 1545212104.056 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212104.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1545212104.056 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1545212104.057 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1545212104.057 * * [misc]simplify: iters left: 6 (11 enodes) 1545212104.061 * * [misc]simplify: iters left: 5 (17 enodes) 1545212104.065 * * [misc]simplify: iters left: 4 (21 enodes) 1545212104.072 * * [misc]simplify: iters left: 3 (25 enodes) 1545212104.078 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212104.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1545212104.078 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1545212104.078 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1545212104.078 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1545212104.078 * [enter]simplify: Simplifying (/ 1 1) 1545212104.078 * * [misc]simplify: iters left: 2 (2 enodes) 1545212104.079 * * [misc]simplify: iters left: 1 (4 enodes) 1545212104.080 * [exit]simplify: Simplified to 1 1545212104.080 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1545212104.080 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1545212104.080 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545212104.080 * * [misc]simplify: iters left: 5 (8 enodes) 1545212104.083 * * [misc]simplify: iters left: 4 (11 enodes) 1545212104.086 * * [misc]simplify: iters left: 3 (14 enodes) 1545212104.088 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545212104.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.089 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1545212104.089 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1545212104.089 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1545212104.089 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212104.089 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.091 * * [misc]simplify: iters left: 5 (21 enodes) 1545212104.095 * * [misc]simplify: iters left: 4 (44 enodes) 1545212104.104 * * [misc]simplify: iters left: 3 (125 enodes) 1545212104.151 * * [misc]simplify: iters left: 2 (343 enodes) 1545212104.274 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545212104.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1545212104.274 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1545212104.274 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212104.274 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.277 * * [misc]simplify: iters left: 5 (21 enodes) 1545212104.281 * * [misc]simplify: iters left: 4 (44 enodes) 1545212104.296 * * [misc]simplify: iters left: 3 (125 enodes) 1545212104.336 * * [misc]simplify: iters left: 2 (343 enodes) 1545212104.449 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545212104.449 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1545212104.449 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1545212104.449 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.449 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.453 * * [misc]simplify: iters left: 5 (19 enodes) 1545212104.460 * * [misc]simplify: iters left: 4 (32 enodes) 1545212104.470 * * [misc]simplify: iters left: 3 (67 enodes) 1545212104.491 * * [misc]simplify: iters left: 2 (194 enodes) 1545212104.564 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212104.564 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545212104.564 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1545212104.564 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1545212104.564 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1545212104.564 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.565 * * [misc]simplify: iters left: 6 (14 enodes) 1545212104.567 * * [misc]simplify: iters left: 5 (26 enodes) 1545212104.575 * * [misc]simplify: iters left: 4 (58 enodes) 1545212104.596 * * [misc]simplify: iters left: 3 (117 enodes) 1545212104.643 * * [misc]simplify: iters left: 2 (193 enodes) 1545212104.715 * * [misc]simplify: iters left: 1 (263 enodes) 1545212104.839 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.839 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212104.839 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1545212104.839 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1545212104.839 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1545212104.839 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1545212104.839 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1545212104.839 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545212104.840 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.843 * * [misc]simplify: iters left: 5 (14 enodes) 1545212104.847 * * [misc]simplify: iters left: 4 (16 enodes) 1545212104.851 * * [misc]simplify: iters left: 3 (17 enodes) 1545212104.854 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545212104.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212104.854 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212104.854 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.856 * * [misc]simplify: iters left: 5 (13 enodes) 1545212104.858 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212104.858 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212104.858 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1545212104.858 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545212104.858 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.859 * * [misc]simplify: iters left: 5 (14 enodes) 1545212104.861 * * [misc]simplify: iters left: 4 (16 enodes) 1545212104.864 * * [misc]simplify: iters left: 3 (17 enodes) 1545212104.866 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545212104.866 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212104.866 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212104.866 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.868 * * [misc]simplify: iters left: 5 (13 enodes) 1545212104.870 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212104.870 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212104.870 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1545212104.870 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212104.870 * * [misc]simplify: iters left: 6 (11 enodes) 1545212104.872 * * [misc]simplify: iters left: 5 (15 enodes) 1545212104.874 * * [misc]simplify: iters left: 4 (20 enodes) 1545212104.877 * * [misc]simplify: iters left: 3 (21 enodes) 1545212104.880 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212104.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212104.880 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212104.881 * * [misc]simplify: iters left: 6 (9 enodes) 1545212104.883 * * [misc]simplify: iters left: 5 (11 enodes) 1545212104.886 * * [misc]simplify: iters left: 4 (14 enodes) 1545212104.890 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212104.890 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212104.890 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1545212104.891 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212104.891 * * [misc]simplify: iters left: 6 (14 enodes) 1545212104.895 * * [misc]simplify: iters left: 5 (23 enodes) 1545212104.902 * * [misc]simplify: iters left: 4 (35 enodes) 1545212104.912 * * [misc]simplify: iters left: 3 (38 enodes) 1545212104.922 * * [misc]simplify: iters left: 2 (41 enodes) 1545212104.933 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212104.934 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212104.934 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.934 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.937 * * [misc]simplify: iters left: 5 (15 enodes) 1545212104.942 * * [misc]simplify: iters left: 4 (18 enodes) 1545212104.945 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.945 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212104.945 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1545212104.945 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.945 * * [misc]simplify: iters left: 6 (13 enodes) 1545212104.948 * * [misc]simplify: iters left: 5 (18 enodes) 1545212104.950 * * [misc]simplify: iters left: 4 (23 enodes) 1545212104.954 * * [misc]simplify: iters left: 3 (24 enodes) 1545212104.957 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.958 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212104.958 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.958 * * [misc]simplify: iters left: 6 (12 enodes) 1545212104.960 * * [misc]simplify: iters left: 5 (15 enodes) 1545212104.962 * * [misc]simplify: iters left: 4 (18 enodes) 1545212104.964 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212104.964 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212104.964 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1545212104.965 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545212104.965 * * [misc]simplify: iters left: 6 (6 enodes) 1545212104.966 * * [misc]simplify: iters left: 5 (10 enodes) 1545212104.968 * * [misc]simplify: iters left: 4 (16 enodes) 1545212104.970 * * [misc]simplify: iters left: 3 (18 enodes) 1545212104.972 * * [misc]simplify: iters left: 2 (23 enodes) 1545212104.977 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212104.977 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212104.978 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.978 * * [misc]simplify: iters left: 6 (11 enodes) 1545212104.981 * * [misc]simplify: iters left: 5 (14 enodes) 1545212104.985 * * [misc]simplify: iters left: 4 (17 enodes) 1545212104.990 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212104.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212104.990 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1545212104.990 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545212104.990 * * [misc]simplify: iters left: 5 (9 enodes) 1545212104.993 * * [misc]simplify: iters left: 4 (11 enodes) 1545212104.996 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545212104.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212104.996 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212104.996 * * [misc]simplify: iters left: 6 (10 enodes) 1545212104.999 * * [misc]simplify: iters left: 5 (13 enodes) 1545212105.003 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212105.003 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212105.003 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1545212105.004 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545212105.004 * * [misc]simplify: iters left: 5 (9 enodes) 1545212105.007 * * [misc]simplify: iters left: 4 (11 enodes) 1545212105.010 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545212105.010 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212105.010 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212105.010 * * [misc]simplify: iters left: 6 (10 enodes) 1545212105.013 * * [misc]simplify: iters left: 5 (13 enodes) 1545212105.017 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212105.017 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212105.017 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1545212105.017 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545212105.017 * * [misc]simplify: iters left: 6 (10 enodes) 1545212105.020 * * [misc]simplify: iters left: 5 (12 enodes) 1545212105.023 * * [misc]simplify: iters left: 4 (15 enodes) 1545212105.026 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545212105.026 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212105.026 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212105.026 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.027 * * [misc]simplify: iters left: 5 (11 enodes) 1545212105.029 * * [misc]simplify: iters left: 4 (14 enodes) 1545212105.031 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212105.031 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212105.031 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1545212105.031 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.031 * * [misc]simplify: iters left: 6 (13 enodes) 1545212105.033 * * [misc]simplify: iters left: 5 (18 enodes) 1545212105.036 * * [misc]simplify: iters left: 4 (21 enodes) 1545212105.039 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.039 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.039 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.039 * * [misc]simplify: iters left: 6 (12 enodes) 1545212105.041 * * [misc]simplify: iters left: 5 (15 enodes) 1545212105.043 * * [misc]simplify: iters left: 4 (18 enodes) 1545212105.046 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.046 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.046 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1545212105.046 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.046 * * [misc]simplify: iters left: 6 (12 enodes) 1545212105.048 * * [misc]simplify: iters left: 5 (15 enodes) 1545212105.050 * * [misc]simplify: iters left: 4 (18 enodes) 1545212105.053 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.053 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.053 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.053 * * [misc]simplify: iters left: 6 (12 enodes) 1545212105.056 * * [misc]simplify: iters left: 5 (15 enodes) 1545212105.061 * * [misc]simplify: iters left: 4 (18 enodes) 1545212105.066 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.066 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1545212105.067 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545212105.067 * * [misc]simplify: iters left: 4 (5 enodes) 1545212105.068 * * [misc]simplify: iters left: 3 (7 enodes) 1545212105.071 * * [misc]simplify: iters left: 2 (9 enodes) 1545212105.072 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212105.072 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.073 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.073 * * [misc]simplify: iters left: 6 (11 enodes) 1545212105.076 * * [misc]simplify: iters left: 5 (14 enodes) 1545212105.080 * * [misc]simplify: iters left: 4 (17 enodes) 1545212105.085 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.085 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.085 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1545212105.085 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545212105.085 * * [misc]simplify: iters left: 5 (7 enodes) 1545212105.087 * * [misc]simplify: iters left: 4 (11 enodes) 1545212105.090 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545212105.090 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212105.090 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212105.091 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.093 * * [misc]simplify: iters left: 5 (12 enodes) 1545212105.097 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212105.097 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545212105.097 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1545212105.097 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545212105.097 * * [misc]simplify: iters left: 5 (7 enodes) 1545212105.099 * * [misc]simplify: iters left: 4 (11 enodes) 1545212105.102 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545212105.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212105.102 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212105.102 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.105 * * [misc]simplify: iters left: 5 (12 enodes) 1545212105.109 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212105.109 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545212105.109 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1545212105.109 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545212105.109 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.112 * * [misc]simplify: iters left: 5 (13 enodes) 1545212105.116 * * [misc]simplify: iters left: 4 (16 enodes) 1545212105.120 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545212105.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212105.120 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212105.121 * * [misc]simplify: iters left: 6 (8 enodes) 1545212105.123 * * [misc]simplify: iters left: 5 (10 enodes) 1545212105.126 * * [misc]simplify: iters left: 4 (13 enodes) 1545212105.129 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212105.130 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212105.130 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1545212105.130 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.130 * * [misc]simplify: iters left: 6 (12 enodes) 1545212105.134 * * [misc]simplify: iters left: 5 (19 enodes) 1545212105.139 * * [misc]simplify: iters left: 4 (22 enodes) 1545212105.145 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212105.145 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.145 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.146 * * [misc]simplify: iters left: 6 (11 enodes) 1545212105.148 * * [misc]simplify: iters left: 5 (14 enodes) 1545212105.150 * * [misc]simplify: iters left: 4 (17 enodes) 1545212105.152 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.152 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.152 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1545212105.153 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.153 * * [misc]simplify: iters left: 6 (11 enodes) 1545212105.154 * * [misc]simplify: iters left: 5 (16 enodes) 1545212105.157 * * [misc]simplify: iters left: 4 (19 enodes) 1545212105.159 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212105.159 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.159 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.159 * * [misc]simplify: iters left: 6 (11 enodes) 1545212105.161 * * [misc]simplify: iters left: 5 (14 enodes) 1545212105.163 * * [misc]simplify: iters left: 4 (17 enodes) 1545212105.165 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212105.165 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212105.165 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1545212105.166 * [enter]simplify: Simplifying (/ 1 1) 1545212105.166 * * [misc]simplify: iters left: 2 (2 enodes) 1545212105.166 * * [misc]simplify: iters left: 1 (4 enodes) 1545212105.166 * [exit]simplify: Simplified to 1 1545212105.166 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.167 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.167 * * [misc]simplify: iters left: 6 (10 enodes) 1545212105.168 * * [misc]simplify: iters left: 5 (13 enodes) 1545212105.170 * * [misc]simplify: iters left: 4 (16 enodes) 1545212105.172 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.172 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.172 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1545212105.172 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1545212105.172 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1545212105.172 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1545212105.172 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212105.173 * * [misc]simplify: iters left: 5 (7 enodes) 1545212105.174 * * [misc]simplify: iters left: 4 (10 enodes) 1545212105.175 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212105.175 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545212105.175 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1545212105.175 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212105.175 * * [misc]simplify: iters left: 5 (7 enodes) 1545212105.176 * * [misc]simplify: iters left: 4 (10 enodes) 1545212105.178 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212105.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545212105.178 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1545212105.178 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545212105.178 * * [misc]simplify: iters left: 5 (6 enodes) 1545212105.179 * * [misc]simplify: iters left: 4 (8 enodes) 1545212105.180 * * [misc]simplify: iters left: 3 (11 enodes) 1545212105.182 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545212105.182 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545212105.183 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1545212105.183 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.183 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.185 * * [misc]simplify: iters left: 5 (12 enodes) 1545212105.188 * * [misc]simplify: iters left: 4 (15 enodes) 1545212105.193 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.193 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.193 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1545212105.193 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.193 * * [misc]simplify: iters left: 6 (9 enodes) 1545212105.196 * * [misc]simplify: iters left: 5 (12 enodes) 1545212105.199 * * [misc]simplify: iters left: 4 (15 enodes) 1545212105.203 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212105.204 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212105.204 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1545212105.204 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545212105.204 * * [misc]simplify: iters left: 5 (8 enodes) 1545212105.207 * * [misc]simplify: iters left: 4 (11 enodes) 1545212105.210 * * [misc]simplify: iters left: 3 (14 enodes) 1545212105.213 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545212105.213 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.213 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1545212105.213 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212105.213 * * [misc]simplify: iters left: 4 (4 enodes) 1545212105.214 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212105.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212105.214 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1545212105.214 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545212105.214 * * [misc]simplify: iters left: 2 (3 enodes) 1545212105.214 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212105.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212105.214 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1545212105.214 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1545212105.215 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212105.215 * * [misc]simplify: iters left: 3 (6 enodes) 1545212105.216 * * [misc]simplify: iters left: 2 (7 enodes) 1545212105.217 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212105.217 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1545212105.217 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1545212105.217 * [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)))) 1545212105.217 * * [misc]simplify: iters left: 6 (18 enodes) 1545212105.220 * * [misc]simplify: iters left: 5 (39 enodes) 1545212105.228 * * [misc]simplify: iters left: 4 (104 enodes) 1545212105.250 * * [misc]simplify: iters left: 3 (275 enodes) 1545212105.393 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545212105.393 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.393 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1545212105.393 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545212105.394 * * [misc]simplify: iters left: 5 (6 enodes) 1545212105.396 * * [misc]simplify: iters left: 4 (9 enodes) 1545212105.399 * * [misc]simplify: iters left: 3 (17 enodes) 1545212105.404 * * [misc]simplify: iters left: 2 (20 enodes) 1545212105.408 * * [misc]simplify: iters left: 1 (24 enodes) 1545212105.418 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545212105.418 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.418 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1545212105.419 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545212105.419 * * [misc]simplify: iters left: 5 (6 enodes) 1545212105.421 * * [misc]simplify: iters left: 4 (9 enodes) 1545212105.425 * * [misc]simplify: iters left: 3 (17 enodes) 1545212105.429 * * [misc]simplify: iters left: 2 (20 enodes) 1545212105.434 * * [misc]simplify: iters left: 1 (24 enodes) 1545212105.442 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545212105.442 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212105.442 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1545212105.442 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545212105.443 * * [misc]simplify: iters left: 6 (35 enodes) 1545212105.450 * * [misc]simplify: iters left: 5 (99 enodes) 1545212105.472 * * [misc]simplify: iters left: 4 (298 enodes) 1545212105.629 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545212105.629 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1545212105.629 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1545212105.629 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545212105.629 * * [misc]simplify: iters left: 6 (13 enodes) 1545212105.633 * * [misc]simplify: iters left: 5 (27 enodes) 1545212105.642 * * [misc]simplify: iters left: 4 (53 enodes) 1545212105.656 * * [misc]simplify: iters left: 3 (116 enodes) 1545212105.699 * * [misc]simplify: iters left: 2 (362 enodes) 1545212105.933 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545212105.933 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1545212105.933 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1545212105.933 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545212105.934 * * [misc]simplify: iters left: 6 (13 enodes) 1545212105.939 * * [misc]simplify: iters left: 5 (24 enodes) 1545212105.948 * * [misc]simplify: iters left: 4 (54 enodes) 1545212105.974 * * [misc]simplify: iters left: 3 (143 enodes) 1545212106.030 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545212106.030 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1545212106.030 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1545212106.030 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545212106.030 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212106.030 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1545212106.030 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545212106.030 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212106.030 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1545212106.031 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545212106.031 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212106.031 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1545212106.031 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545212106.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545212106.031 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1545212106.031 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545212106.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545212106.031 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1545212106.031 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545212106.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1545212106.032 * * * [misc]progress: adding candidates to table 1545212110.326 * * [misc]progress: iteration 4 / 4 1545212110.326 * * * [misc]progress: picking best candidate 1545212110.360 * * * * [misc]pick: Picked # 1545212110.360 * * * [misc]progress: localizing error 1545212110.363 * * * [misc]progress: generating rewritten candidates 1545212110.363 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1545212110.365 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1545212110.368 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545212110.380 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1545212110.387 * * * [misc]progress: generating series expansions 1545212110.387 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1545212110.387 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545212110.387 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545212110.387 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.387 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.387 * [misc]taylor: Taking taylor expansion of k in k 1545212110.387 * [misc]backup-simplify: Simplify 0 into 0 1545212110.387 * [misc]backup-simplify: Simplify 1 into 1 1545212110.387 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.387 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.387 * [misc]backup-simplify: Simplify PI into PI 1545212110.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.388 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.388 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.388 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.388 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.389 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212110.389 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.389 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.389 * [misc]taylor: Taking taylor expansion of k in k 1545212110.389 * [misc]backup-simplify: Simplify 0 into 0 1545212110.389 * [misc]backup-simplify: Simplify 1 into 1 1545212110.389 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.389 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.389 * [misc]backup-simplify: Simplify PI into PI 1545212110.389 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.389 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.389 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.389 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.390 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.390 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212110.390 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545212110.392 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212110.392 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212110.392 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.392 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545212110.396 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212110.397 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212110.402 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545212110.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.402 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545212110.408 * [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))) 1545212110.409 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545212110.412 * [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)))) 1545212110.412 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.412 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545212110.412 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.412 * [misc]taylor: Taking taylor expansion of k in k 1545212110.412 * [misc]backup-simplify: Simplify 0 into 0 1545212110.412 * [misc]backup-simplify: Simplify 1 into 1 1545212110.412 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.412 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.413 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.413 * [misc]backup-simplify: Simplify PI into PI 1545212110.413 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.413 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.413 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.413 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.414 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212110.414 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.414 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.414 * [misc]taylor: Taking taylor expansion of k in k 1545212110.414 * [misc]backup-simplify: Simplify 0 into 0 1545212110.414 * [misc]backup-simplify: Simplify 1 into 1 1545212110.415 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.415 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.415 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.415 * [misc]backup-simplify: Simplify PI into PI 1545212110.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.415 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.415 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.415 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.416 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212110.416 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.416 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545212110.417 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.417 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545212110.417 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.417 * [misc]taylor: Taking taylor expansion of k in k 1545212110.417 * [misc]backup-simplify: Simplify 0 into 0 1545212110.417 * [misc]backup-simplify: Simplify 1 into 1 1545212110.418 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.418 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.418 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.418 * [misc]backup-simplify: Simplify PI into PI 1545212110.418 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.418 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.418 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.419 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.419 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of k in k 1545212110.419 * [misc]backup-simplify: Simplify 0 into 0 1545212110.419 * [misc]backup-simplify: Simplify 1 into 1 1545212110.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.419 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.419 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.419 * [misc]backup-simplify: Simplify PI into PI 1545212110.420 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.420 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.420 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.420 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.420 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.420 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545212110.421 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1545212110.421 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545212110.421 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545212110.421 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.421 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.421 * [misc]taylor: Taking taylor expansion of k in k 1545212110.421 * [misc]backup-simplify: Simplify 0 into 0 1545212110.421 * [misc]backup-simplify: Simplify 1 into 1 1545212110.421 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212110.421 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.421 * [misc]backup-simplify: Simplify 2 into 2 1545212110.421 * [misc]taylor: Taking taylor expansion of n in k 1545212110.421 * [misc]backup-simplify: Simplify n into n 1545212110.421 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212110.421 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212110.421 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.421 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.422 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.422 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212110.422 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212110.422 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.422 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.422 * [misc]taylor: Taking taylor expansion of k in n 1545212110.422 * [misc]backup-simplify: Simplify k into k 1545212110.422 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.422 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.422 * [misc]backup-simplify: Simplify 2 into 2 1545212110.422 * [misc]taylor: Taking taylor expansion of n in n 1545212110.422 * [misc]backup-simplify: Simplify 0 into 0 1545212110.422 * [misc]backup-simplify: Simplify 1 into 1 1545212110.422 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.422 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.422 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.422 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212110.422 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212110.423 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212110.423 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.423 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212110.423 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212110.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.423 * [misc]taylor: Taking taylor expansion of k in n 1545212110.423 * [misc]backup-simplify: Simplify k into k 1545212110.423 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.423 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.423 * [misc]backup-simplify: Simplify 2 into 2 1545212110.423 * [misc]taylor: Taking taylor expansion of n in n 1545212110.423 * [misc]backup-simplify: Simplify 0 into 0 1545212110.423 * [misc]backup-simplify: Simplify 1 into 1 1545212110.423 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.424 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.424 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.424 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212110.424 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212110.424 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212110.424 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.424 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212110.424 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212110.425 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.425 * [misc]backup-simplify: Simplify 2 into 2 1545212110.425 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.425 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of n in k 1545212110.425 * [misc]backup-simplify: Simplify n into n 1545212110.425 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212110.425 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.425 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.425 * [misc]taylor: Taking taylor expansion of k in k 1545212110.425 * [misc]backup-simplify: Simplify 0 into 0 1545212110.425 * [misc]backup-simplify: Simplify 1 into 1 1545212110.425 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545212110.425 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.425 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.426 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545212110.426 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545212110.426 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545212110.426 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.428 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545212110.428 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.428 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.428 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545212110.429 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.429 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.429 * [misc]backup-simplify: Simplify 0 into 0 1545212110.429 * [misc]backup-simplify: Simplify 0 into 0 1545212110.429 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212110.429 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.429 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.431 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.431 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545212110.431 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.432 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545212110.432 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545212110.433 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545212110.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212110.435 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212110.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545212110.436 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.436 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.436 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545212110.438 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212110.438 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.438 * [misc]backup-simplify: Simplify 0 into 0 1545212110.438 * [misc]backup-simplify: Simplify 0 into 0 1545212110.438 * [misc]backup-simplify: Simplify 0 into 0 1545212110.438 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.438 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.438 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.441 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212110.442 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545212110.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.442 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545212110.443 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545212110.444 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545212110.445 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545212110.446 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.446 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545212110.446 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.446 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.446 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of k in k 1545212110.446 * [misc]backup-simplify: Simplify 0 into 0 1545212110.446 * [misc]backup-simplify: Simplify 1 into 1 1545212110.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.446 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212110.446 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.446 * [misc]backup-simplify: Simplify 2 into 2 1545212110.446 * [misc]taylor: Taking taylor expansion of n in k 1545212110.446 * [misc]backup-simplify: Simplify n into n 1545212110.446 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212110.446 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212110.446 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.446 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.447 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.447 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212110.447 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.447 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of k in n 1545212110.447 * [misc]backup-simplify: Simplify k into k 1545212110.447 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.447 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.447 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.447 * [misc]backup-simplify: Simplify 2 into 2 1545212110.447 * [misc]taylor: Taking taylor expansion of n in n 1545212110.447 * [misc]backup-simplify: Simplify 0 into 0 1545212110.447 * [misc]backup-simplify: Simplify 1 into 1 1545212110.447 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.447 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.447 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.447 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.447 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.448 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.448 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.448 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.448 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of k in n 1545212110.448 * [misc]backup-simplify: Simplify k into k 1545212110.448 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.448 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.448 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.448 * [misc]backup-simplify: Simplify 2 into 2 1545212110.448 * [misc]taylor: Taking taylor expansion of n in n 1545212110.448 * [misc]backup-simplify: Simplify 0 into 0 1545212110.448 * [misc]backup-simplify: Simplify 1 into 1 1545212110.449 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.449 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.449 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.449 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.449 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.449 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.449 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.450 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of k in k 1545212110.450 * [misc]backup-simplify: Simplify 0 into 0 1545212110.450 * [misc]backup-simplify: Simplify 1 into 1 1545212110.450 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.450 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.450 * [misc]backup-simplify: Simplify 2 into 2 1545212110.450 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.450 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212110.450 * [misc]taylor: Taking taylor expansion of n in k 1545212110.450 * [misc]backup-simplify: Simplify n into n 1545212110.450 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212110.450 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.450 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.450 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.450 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212110.451 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545212110.451 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545212110.451 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.451 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.451 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212110.455 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.455 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.456 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212110.457 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.457 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.457 * [misc]backup-simplify: Simplify 0 into 0 1545212110.457 * [misc]backup-simplify: Simplify 0 into 0 1545212110.457 * [misc]backup-simplify: Simplify 0 into 0 1545212110.457 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.460 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545212110.460 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212110.460 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212110.460 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.460 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.461 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.461 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545212110.462 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212110.462 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.462 * [misc]backup-simplify: Simplify 0 into 0 1545212110.462 * [misc]backup-simplify: Simplify 0 into 0 1545212110.462 * [misc]backup-simplify: Simplify 0 into 0 1545212110.462 * [misc]backup-simplify: Simplify 0 into 0 1545212110.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.466 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545212110.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212110.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212110.467 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.468 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545212110.470 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545212110.470 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.470 * [misc]backup-simplify: Simplify 0 into 0 1545212110.470 * [misc]backup-simplify: Simplify 0 into 0 1545212110.470 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545212110.470 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.470 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545212110.470 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.470 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.470 * [misc]taylor: Taking taylor expansion of k in k 1545212110.470 * [misc]backup-simplify: Simplify 0 into 0 1545212110.470 * [misc]backup-simplify: Simplify 1 into 1 1545212110.470 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.470 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.471 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212110.471 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212110.471 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.471 * [misc]backup-simplify: Simplify -2 into -2 1545212110.471 * [misc]taylor: Taking taylor expansion of n in k 1545212110.471 * [misc]backup-simplify: Simplify n into n 1545212110.471 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212110.471 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212110.471 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.471 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.471 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212110.471 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.471 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of k in n 1545212110.471 * [misc]backup-simplify: Simplify k into k 1545212110.471 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.471 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.471 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.471 * [misc]backup-simplify: Simplify -2 into -2 1545212110.471 * [misc]taylor: Taking taylor expansion of n in n 1545212110.471 * [misc]backup-simplify: Simplify 0 into 0 1545212110.471 * [misc]backup-simplify: Simplify 1 into 1 1545212110.472 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.472 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.472 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.472 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.472 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.472 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.472 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.472 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.472 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.472 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.472 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.473 * [misc]taylor: Taking taylor expansion of k in n 1545212110.473 * [misc]backup-simplify: Simplify k into k 1545212110.473 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.473 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.473 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.473 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.473 * [misc]backup-simplify: Simplify -2 into -2 1545212110.473 * [misc]taylor: Taking taylor expansion of n in n 1545212110.473 * [misc]backup-simplify: Simplify 0 into 0 1545212110.473 * [misc]backup-simplify: Simplify 1 into 1 1545212110.473 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.473 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.473 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.473 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.473 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.473 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.474 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.474 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of k in k 1545212110.474 * [misc]backup-simplify: Simplify 0 into 0 1545212110.474 * [misc]backup-simplify: Simplify 1 into 1 1545212110.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.474 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.474 * [misc]backup-simplify: Simplify -2 into -2 1545212110.474 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.474 * [misc]taylor: Taking taylor expansion of (log n) in k 1545212110.474 * [misc]taylor: Taking taylor expansion of n in k 1545212110.474 * [misc]backup-simplify: Simplify n into n 1545212110.474 * [misc]backup-simplify: Simplify (log n) into (log n) 1545212110.474 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.474 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.475 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545212110.475 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545212110.475 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545212110.475 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.475 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212110.477 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212110.477 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.477 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.477 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.478 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212110.478 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.478 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.478 * [misc]backup-simplify: Simplify 0 into 0 1545212110.479 * [misc]backup-simplify: Simplify 0 into 0 1545212110.479 * [misc]backup-simplify: Simplify 0 into 0 1545212110.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.483 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545212110.483 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212110.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545212110.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.484 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.484 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545212110.487 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545212110.487 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.487 * [misc]backup-simplify: Simplify 0 into 0 1545212110.487 * [misc]backup-simplify: Simplify 0 into 0 1545212110.487 * [misc]backup-simplify: Simplify 0 into 0 1545212110.487 * [misc]backup-simplify: Simplify 0 into 0 1545212110.487 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.493 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545212110.494 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545212110.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545212110.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.495 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545212110.498 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545212110.498 * [misc]taylor: Taking taylor expansion of 0 in k 1545212110.498 * [misc]backup-simplify: Simplify 0 into 0 1545212110.498 * [misc]backup-simplify: Simplify 0 into 0 1545212110.498 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545212110.499 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545212110.499 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545212110.499 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545212110.499 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.499 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.499 * [misc]taylor: Taking taylor expansion of k in n 1545212110.499 * [misc]backup-simplify: Simplify k into k 1545212110.499 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.499 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.499 * [misc]backup-simplify: Simplify 2 into 2 1545212110.499 * [misc]taylor: Taking taylor expansion of n in n 1545212110.499 * [misc]backup-simplify: Simplify 0 into 0 1545212110.499 * [misc]backup-simplify: Simplify 1 into 1 1545212110.500 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.500 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.500 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.500 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212110.500 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212110.500 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212110.500 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.501 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212110.501 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212110.501 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.501 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.501 * [misc]taylor: Taking taylor expansion of k in n 1545212110.501 * [misc]backup-simplify: Simplify k into k 1545212110.501 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.501 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.501 * [misc]backup-simplify: Simplify PI into PI 1545212110.502 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.502 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212110.502 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212110.502 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212110.502 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545212110.502 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545212110.502 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212110.502 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.503 * [misc]taylor: Taking taylor expansion of k in n 1545212110.503 * [misc]backup-simplify: Simplify k into k 1545212110.503 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.503 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212110.503 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212110.503 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.503 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.503 * [misc]taylor: Taking taylor expansion of k in k 1545212110.503 * [misc]backup-simplify: Simplify 0 into 0 1545212110.503 * [misc]backup-simplify: Simplify 1 into 1 1545212110.503 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212110.503 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.503 * [misc]backup-simplify: Simplify 2 into 2 1545212110.503 * [misc]taylor: Taking taylor expansion of n in k 1545212110.503 * [misc]backup-simplify: Simplify n into n 1545212110.503 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212110.503 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212110.504 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.504 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.504 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.504 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212110.504 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212110.504 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.504 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.504 * [misc]taylor: Taking taylor expansion of k in k 1545212110.504 * [misc]backup-simplify: Simplify 0 into 0 1545212110.504 * [misc]backup-simplify: Simplify 1 into 1 1545212110.504 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.504 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.504 * [misc]backup-simplify: Simplify PI into PI 1545212110.505 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.505 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.505 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.505 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.505 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.506 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212110.506 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212110.506 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.506 * [misc]taylor: Taking taylor expansion of k in k 1545212110.506 * [misc]backup-simplify: Simplify 0 into 0 1545212110.506 * [misc]backup-simplify: Simplify 1 into 1 1545212110.506 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.507 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.507 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.507 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.507 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.507 * [misc]taylor: Taking taylor expansion of k in k 1545212110.507 * [misc]backup-simplify: Simplify 0 into 0 1545212110.507 * [misc]backup-simplify: Simplify 1 into 1 1545212110.507 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212110.507 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.507 * [misc]backup-simplify: Simplify 2 into 2 1545212110.507 * [misc]taylor: Taking taylor expansion of n in k 1545212110.507 * [misc]backup-simplify: Simplify n into n 1545212110.508 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212110.508 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212110.508 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.508 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.508 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.508 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212110.508 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212110.508 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545212110.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545212110.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545212110.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.508 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.509 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.509 * [misc]taylor: Taking taylor expansion of k in k 1545212110.509 * [misc]backup-simplify: Simplify 0 into 0 1545212110.509 * [misc]backup-simplify: Simplify 1 into 1 1545212110.509 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.509 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.509 * [misc]backup-simplify: Simplify PI into PI 1545212110.509 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.509 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.509 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.509 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.510 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.510 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545212110.511 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212110.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.511 * [misc]taylor: Taking taylor expansion of k in k 1545212110.511 * [misc]backup-simplify: Simplify 0 into 0 1545212110.511 * [misc]backup-simplify: Simplify 1 into 1 1545212110.511 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.511 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.511 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.512 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545212110.512 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545212110.512 * [misc]taylor: Taking taylor expansion of 0 in n 1545212110.512 * [misc]backup-simplify: Simplify 0 into 0 1545212110.512 * [misc]backup-simplify: Simplify 0 into 0 1545212110.514 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212110.515 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212110.515 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.515 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.516 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545212110.519 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545212110.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545212110.520 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545212110.521 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212110.521 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.521 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.521 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545212110.522 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545212110.523 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545212110.525 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545212110.525 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.525 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.525 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.525 * [misc]backup-simplify: Simplify 2 into 2 1545212110.525 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.525 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.525 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212110.525 * [misc]taylor: Taking taylor expansion of n in n 1545212110.525 * [misc]backup-simplify: Simplify 0 into 0 1545212110.525 * [misc]backup-simplify: Simplify 1 into 1 1545212110.526 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.526 * [misc]backup-simplify: Simplify PI into PI 1545212110.526 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212110.526 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212110.527 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.527 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.527 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212110.527 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.528 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.528 * [misc]backup-simplify: Simplify 0 into 0 1545212110.528 * [misc]backup-simplify: Simplify 0 into 0 1545212110.528 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212110.529 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.533 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545212110.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.534 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545212110.539 * [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))) 1545212110.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545212110.541 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545212110.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.542 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545212110.543 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545212110.547 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545212110.551 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545212110.551 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545212110.551 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.552 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.552 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.552 * [misc]backup-simplify: Simplify 2 into 2 1545212110.552 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.552 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.552 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.552 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.552 * [misc]backup-simplify: Simplify PI into PI 1545212110.553 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.553 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.553 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.553 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.553 * [misc]backup-simplify: Simplify PI into PI 1545212110.553 * [misc]taylor: Taking taylor expansion of n in n 1545212110.553 * [misc]backup-simplify: Simplify 0 into 0 1545212110.553 * [misc]backup-simplify: Simplify 1 into 1 1545212110.553 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.554 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.554 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.554 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.554 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545212110.554 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545212110.554 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212110.554 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.555 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.555 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212110.555 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.555 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.555 * [misc]backup-simplify: Simplify 2 into 2 1545212110.555 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.555 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.555 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212110.555 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212110.555 * [misc]taylor: Taking taylor expansion of n in n 1545212110.555 * [misc]backup-simplify: Simplify 0 into 0 1545212110.555 * [misc]backup-simplify: Simplify 1 into 1 1545212110.555 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.555 * [misc]backup-simplify: Simplify PI into PI 1545212110.556 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212110.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212110.556 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.557 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.557 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545212110.557 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545212110.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.557 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545212110.557 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545212110.557 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.557 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.557 * [misc]backup-simplify: Simplify 2 into 2 1545212110.557 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.558 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.558 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.558 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.558 * [misc]backup-simplify: Simplify 2 into 2 1545212110.558 * [misc]taylor: Taking taylor expansion of n in n 1545212110.558 * [misc]backup-simplify: Simplify 0 into 0 1545212110.558 * [misc]backup-simplify: Simplify 1 into 1 1545212110.558 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.558 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.558 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.558 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.558 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.558 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.558 * [misc]backup-simplify: Simplify PI into PI 1545212110.558 * [misc]taylor: Taking taylor expansion of n in n 1545212110.558 * [misc]backup-simplify: Simplify 0 into 0 1545212110.558 * [misc]backup-simplify: Simplify 1 into 1 1545212110.559 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.559 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.560 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.561 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545212110.562 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545212110.562 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.562 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212110.562 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.563 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.563 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545212110.563 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545212110.563 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.564 * [misc]backup-simplify: Simplify 0 into 0 1545212110.566 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.567 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.569 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.570 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.570 * [misc]backup-simplify: Simplify 0 into 0 1545212110.570 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.571 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212110.578 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545212110.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212110.579 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.581 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545212110.588 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545212110.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545212110.592 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545212110.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545212110.592 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545212110.595 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545212110.601 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545212110.611 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545212110.612 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.612 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.612 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.612 * [misc]backup-simplify: Simplify 2 into 2 1545212110.612 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.612 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.612 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.612 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.613 * [misc]backup-simplify: Simplify PI into PI 1545212110.613 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.613 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.613 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.613 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.613 * [misc]backup-simplify: Simplify PI into PI 1545212110.613 * [misc]taylor: Taking taylor expansion of n in n 1545212110.613 * [misc]backup-simplify: Simplify 0 into 0 1545212110.613 * [misc]backup-simplify: Simplify 1 into 1 1545212110.613 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.614 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.614 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.614 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.615 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.615 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.615 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.615 * [misc]backup-simplify: Simplify 2 into 2 1545212110.615 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.615 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.615 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.615 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.615 * [misc]backup-simplify: Simplify PI into PI 1545212110.616 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.616 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.616 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.616 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.616 * [misc]backup-simplify: Simplify PI into PI 1545212110.616 * [misc]taylor: Taking taylor expansion of n in n 1545212110.616 * [misc]backup-simplify: Simplify 0 into 0 1545212110.616 * [misc]backup-simplify: Simplify 1 into 1 1545212110.616 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.617 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.617 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.617 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545212110.617 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.618 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.618 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.618 * [misc]backup-simplify: Simplify 2 into 2 1545212110.618 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.618 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.618 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.618 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.618 * [misc]backup-simplify: Simplify 2 into 2 1545212110.618 * [misc]taylor: Taking taylor expansion of n in n 1545212110.618 * [misc]backup-simplify: Simplify 0 into 0 1545212110.618 * [misc]backup-simplify: Simplify 1 into 1 1545212110.619 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.619 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.619 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.619 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.619 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.619 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.619 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.619 * [misc]backup-simplify: Simplify PI into PI 1545212110.619 * [misc]taylor: Taking taylor expansion of n in n 1545212110.620 * [misc]backup-simplify: Simplify 0 into 0 1545212110.620 * [misc]backup-simplify: Simplify 1 into 1 1545212110.620 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.620 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.621 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.621 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545212110.621 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545212110.621 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545212110.621 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.621 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.621 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545212110.621 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545212110.621 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.622 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.622 * [misc]backup-simplify: Simplify 2 into 2 1545212110.622 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.622 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.622 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545212110.622 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.622 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.622 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.622 * [misc]backup-simplify: Simplify 2 into 2 1545212110.622 * [misc]taylor: Taking taylor expansion of n in n 1545212110.622 * [misc]backup-simplify: Simplify 0 into 0 1545212110.622 * [misc]backup-simplify: Simplify 1 into 1 1545212110.622 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.623 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.623 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.623 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.623 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.623 * [misc]backup-simplify: Simplify PI into PI 1545212110.623 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.623 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212110.623 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212110.623 * [misc]taylor: Taking taylor expansion of n in n 1545212110.623 * [misc]backup-simplify: Simplify 0 into 0 1545212110.623 * [misc]backup-simplify: Simplify 1 into 1 1545212110.623 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.623 * [misc]backup-simplify: Simplify PI into PI 1545212110.624 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212110.624 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212110.624 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.625 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.625 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545212110.625 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545212110.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545212110.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.625 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545212110.625 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.625 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.625 * [misc]backup-simplify: Simplify 2 into 2 1545212110.625 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.625 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.625 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545212110.626 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545212110.626 * [misc]taylor: Taking taylor expansion of n in n 1545212110.626 * [misc]backup-simplify: Simplify 0 into 0 1545212110.626 * [misc]backup-simplify: Simplify 1 into 1 1545212110.626 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.626 * [misc]backup-simplify: Simplify PI into PI 1545212110.626 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545212110.627 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545212110.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.627 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.627 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545212110.627 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545212110.627 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.627 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.627 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545212110.627 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545212110.627 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.628 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.628 * [misc]backup-simplify: Simplify 2 into 2 1545212110.628 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.628 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.628 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.628 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.628 * [misc]backup-simplify: Simplify 2 into 2 1545212110.628 * [misc]taylor: Taking taylor expansion of n in n 1545212110.628 * [misc]backup-simplify: Simplify 0 into 0 1545212110.628 * [misc]backup-simplify: Simplify 1 into 1 1545212110.628 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.629 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.629 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.629 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545212110.629 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545212110.629 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.629 * [misc]backup-simplify: Simplify PI into PI 1545212110.629 * [misc]taylor: Taking taylor expansion of n in n 1545212110.629 * [misc]backup-simplify: Simplify 0 into 0 1545212110.629 * [misc]backup-simplify: Simplify 1 into 1 1545212110.629 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545212110.630 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545212110.630 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.630 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545212110.631 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545212110.632 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545212110.633 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.633 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545212110.634 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545212110.635 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545212110.636 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.636 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.636 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.637 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545212110.638 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545212110.638 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545212110.638 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.639 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.639 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545212110.640 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545212110.641 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545212110.641 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.641 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545212110.641 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.641 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.642 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545212110.642 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545212110.642 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545212110.642 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.643 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.644 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.644 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.644 * [misc]backup-simplify: Simplify 0 into 0 1545212110.647 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212110.648 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545212110.649 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545212110.652 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545212110.654 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.655 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545212110.656 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.659 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.659 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545212110.660 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212110.662 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212110.664 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545212110.665 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545212110.668 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545212110.671 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212110.674 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212110.678 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545212110.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545212110.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545212110.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545212110.682 * [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)))) 1545212110.684 * [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)))) 1545212110.686 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212110.686 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545212110.694 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545212110.694 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545212110.695 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545212110.695 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.695 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of k in n 1545212110.695 * [misc]backup-simplify: Simplify k into k 1545212110.695 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.695 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.695 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.695 * [misc]backup-simplify: Simplify PI into PI 1545212110.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.696 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.696 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.696 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212110.697 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.697 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.697 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of k in n 1545212110.697 * [misc]backup-simplify: Simplify k into k 1545212110.697 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.697 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.697 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.697 * [misc]backup-simplify: Simplify 2 into 2 1545212110.697 * [misc]taylor: Taking taylor expansion of n in n 1545212110.697 * [misc]backup-simplify: Simplify 0 into 0 1545212110.697 * [misc]backup-simplify: Simplify 1 into 1 1545212110.697 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.697 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.698 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.698 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.698 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.698 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.699 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.699 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.699 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212110.699 * [misc]taylor: Taking taylor expansion of k in n 1545212110.699 * [misc]backup-simplify: Simplify k into k 1545212110.699 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212110.699 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212110.699 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545212110.699 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212110.699 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.699 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212110.699 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212110.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.700 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.700 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.700 * [misc]taylor: Taking taylor expansion of k in k 1545212110.700 * [misc]backup-simplify: Simplify 0 into 0 1545212110.700 * [misc]backup-simplify: Simplify 1 into 1 1545212110.700 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.700 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.700 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.700 * [misc]backup-simplify: Simplify PI into PI 1545212110.700 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.701 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.701 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.701 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.701 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212110.702 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.702 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.702 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.702 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of k in k 1545212110.702 * [misc]backup-simplify: Simplify 0 into 0 1545212110.702 * [misc]backup-simplify: Simplify 1 into 1 1545212110.702 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.702 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212110.702 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.702 * [misc]backup-simplify: Simplify 2 into 2 1545212110.702 * [misc]taylor: Taking taylor expansion of n in k 1545212110.702 * [misc]backup-simplify: Simplify n into n 1545212110.702 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212110.703 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212110.703 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.703 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.703 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.703 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212110.703 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.703 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212110.703 * [misc]taylor: Taking taylor expansion of k in k 1545212110.703 * [misc]backup-simplify: Simplify 0 into 0 1545212110.703 * [misc]backup-simplify: Simplify 1 into 1 1545212110.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.704 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.704 * [misc]taylor: Taking taylor expansion of k in k 1545212110.704 * [misc]backup-simplify: Simplify 0 into 0 1545212110.705 * [misc]backup-simplify: Simplify 1 into 1 1545212110.705 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.705 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.705 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.705 * [misc]backup-simplify: Simplify PI into PI 1545212110.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.705 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.705 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.706 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.706 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545212110.706 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.706 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212110.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.707 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.707 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of k in k 1545212110.707 * [misc]backup-simplify: Simplify 0 into 0 1545212110.707 * [misc]backup-simplify: Simplify 1 into 1 1545212110.707 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.707 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212110.707 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.707 * [misc]backup-simplify: Simplify 2 into 2 1545212110.707 * [misc]taylor: Taking taylor expansion of n in k 1545212110.707 * [misc]backup-simplify: Simplify n into n 1545212110.707 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212110.707 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212110.707 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.708 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.708 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.708 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212110.708 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.708 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212110.708 * [misc]taylor: Taking taylor expansion of k in k 1545212110.708 * [misc]backup-simplify: Simplify 0 into 0 1545212110.708 * [misc]backup-simplify: Simplify 1 into 1 1545212110.708 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.709 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.709 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212110.709 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545212110.709 * [misc]taylor: Taking taylor expansion of 0 in n 1545212110.709 * [misc]backup-simplify: Simplify 0 into 0 1545212110.710 * [misc]backup-simplify: Simplify 0 into 0 1545212110.710 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545212110.710 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.710 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.710 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.710 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.710 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.710 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of k in n 1545212110.711 * [misc]backup-simplify: Simplify k into k 1545212110.711 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.711 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.711 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.711 * [misc]backup-simplify: Simplify PI into PI 1545212110.711 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.711 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.711 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.712 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.712 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212110.712 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.712 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.712 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.713 * [misc]taylor: Taking taylor expansion of k in n 1545212110.713 * [misc]backup-simplify: Simplify k into k 1545212110.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.713 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.713 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.713 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.713 * [misc]backup-simplify: Simplify 2 into 2 1545212110.713 * [misc]taylor: Taking taylor expansion of n in n 1545212110.713 * [misc]backup-simplify: Simplify 0 into 0 1545212110.713 * [misc]backup-simplify: Simplify 1 into 1 1545212110.713 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.713 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.713 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.713 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.713 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.714 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.714 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.715 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.715 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212110.716 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.716 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.717 * [misc]backup-simplify: Simplify 0 into 0 1545212110.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.718 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545212110.719 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.719 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.719 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.719 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of k in n 1545212110.719 * [misc]backup-simplify: Simplify k into k 1545212110.719 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.719 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.719 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.719 * [misc]backup-simplify: Simplify PI into PI 1545212110.720 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.720 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.720 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.720 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.720 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212110.721 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.721 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of k in n 1545212110.721 * [misc]backup-simplify: Simplify k into k 1545212110.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.721 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.721 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.721 * [misc]backup-simplify: Simplify 2 into 2 1545212110.721 * [misc]taylor: Taking taylor expansion of n in n 1545212110.721 * [misc]backup-simplify: Simplify 0 into 0 1545212110.721 * [misc]backup-simplify: Simplify 1 into 1 1545212110.721 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.722 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.722 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.722 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.722 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.723 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.723 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.724 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212110.724 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.725 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.725 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212110.727 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.728 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.728 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.728 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.728 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.729 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212110.730 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.732 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212110.733 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.733 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.734 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545212110.735 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.735 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545212110.736 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545212110.736 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.736 * [misc]backup-simplify: Simplify 0 into 0 1545212110.736 * [misc]backup-simplify: Simplify 0 into 0 1545212110.738 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212110.738 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212110.739 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.739 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.739 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.739 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of k in n 1545212110.739 * [misc]backup-simplify: Simplify k into k 1545212110.739 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.739 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.739 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.739 * [misc]backup-simplify: Simplify PI into PI 1545212110.740 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.740 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.740 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.740 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545212110.741 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.741 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.741 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of k in n 1545212110.741 * [misc]backup-simplify: Simplify k into k 1545212110.741 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.741 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.741 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.741 * [misc]backup-simplify: Simplify 2 into 2 1545212110.741 * [misc]taylor: Taking taylor expansion of n in n 1545212110.741 * [misc]backup-simplify: Simplify 0 into 0 1545212110.741 * [misc]backup-simplify: Simplify 1 into 1 1545212110.742 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.742 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.742 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.742 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.742 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.744 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.744 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.745 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.745 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545212110.746 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.746 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.749 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545212110.750 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545212110.750 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545212110.750 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of k in n 1545212110.750 * [misc]backup-simplify: Simplify k into k 1545212110.750 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.750 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.750 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.750 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.750 * [misc]backup-simplify: Simplify -2 into -2 1545212110.750 * [misc]taylor: Taking taylor expansion of n in n 1545212110.750 * [misc]backup-simplify: Simplify 0 into 0 1545212110.750 * [misc]backup-simplify: Simplify 1 into 1 1545212110.751 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.751 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.751 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.751 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.751 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.752 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.752 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.752 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of k in n 1545212110.752 * [misc]backup-simplify: Simplify k into k 1545212110.752 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.752 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.752 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.752 * [misc]backup-simplify: Simplify PI into PI 1545212110.753 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.753 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.753 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.753 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212110.754 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.754 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212110.754 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212110.754 * [misc]taylor: Taking taylor expansion of -1 in n 1545212110.754 * [misc]backup-simplify: Simplify -1 into -1 1545212110.754 * [misc]taylor: Taking taylor expansion of k in n 1545212110.754 * [misc]backup-simplify: Simplify k into k 1545212110.754 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212110.754 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212110.754 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212110.754 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212110.755 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.755 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545212110.755 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545212110.755 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212110.755 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of k in k 1545212110.756 * [misc]backup-simplify: Simplify 0 into 0 1545212110.756 * [misc]backup-simplify: Simplify 1 into 1 1545212110.756 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.756 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.756 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212110.756 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.756 * [misc]backup-simplify: Simplify -2 into -2 1545212110.756 * [misc]taylor: Taking taylor expansion of n in k 1545212110.756 * [misc]backup-simplify: Simplify n into n 1545212110.756 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212110.756 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212110.757 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.757 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.757 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212110.757 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.757 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.757 * [misc]taylor: Taking taylor expansion of k in k 1545212110.757 * [misc]backup-simplify: Simplify 0 into 0 1545212110.757 * [misc]backup-simplify: Simplify 1 into 1 1545212110.757 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.758 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.758 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.758 * [misc]backup-simplify: Simplify PI into PI 1545212110.758 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.758 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.759 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.759 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.759 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212110.759 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212110.759 * [misc]taylor: Taking taylor expansion of -1 in k 1545212110.759 * [misc]backup-simplify: Simplify -1 into -1 1545212110.759 * [misc]taylor: Taking taylor expansion of k in k 1545212110.759 * [misc]backup-simplify: Simplify 0 into 0 1545212110.759 * [misc]backup-simplify: Simplify 1 into 1 1545212110.759 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212110.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.760 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212110.760 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.761 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.761 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of k in k 1545212110.761 * [misc]backup-simplify: Simplify 0 into 0 1545212110.761 * [misc]backup-simplify: Simplify 1 into 1 1545212110.761 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.761 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212110.761 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.761 * [misc]backup-simplify: Simplify -2 into -2 1545212110.761 * [misc]taylor: Taking taylor expansion of n in k 1545212110.761 * [misc]backup-simplify: Simplify n into n 1545212110.762 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212110.762 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212110.762 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.762 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.762 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212110.762 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.762 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.762 * [misc]taylor: Taking taylor expansion of k in k 1545212110.763 * [misc]backup-simplify: Simplify 0 into 0 1545212110.763 * [misc]backup-simplify: Simplify 1 into 1 1545212110.763 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.763 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545212110.763 * [misc]taylor: Taking taylor expansion of PI in k 1545212110.763 * [misc]backup-simplify: Simplify PI into PI 1545212110.763 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.763 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.764 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545212110.764 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.764 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212110.764 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212110.764 * [misc]taylor: Taking taylor expansion of -1 in k 1545212110.764 * [misc]backup-simplify: Simplify -1 into -1 1545212110.764 * [misc]taylor: Taking taylor expansion of k in k 1545212110.764 * [misc]backup-simplify: Simplify 0 into 0 1545212110.764 * [misc]backup-simplify: Simplify 1 into 1 1545212110.765 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212110.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.765 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212110.765 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.766 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.766 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.766 * [misc]taylor: Taking taylor expansion of k in n 1545212110.766 * [misc]backup-simplify: Simplify k into k 1545212110.766 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.766 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.767 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.767 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.767 * [misc]backup-simplify: Simplify -2 into -2 1545212110.767 * [misc]taylor: Taking taylor expansion of n in n 1545212110.767 * [misc]backup-simplify: Simplify 0 into 0 1545212110.767 * [misc]backup-simplify: Simplify 1 into 1 1545212110.767 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.767 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.767 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.767 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.768 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.768 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.768 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.768 * [misc]taylor: Taking taylor expansion of k in n 1545212110.769 * [misc]backup-simplify: Simplify k into k 1545212110.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.769 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.769 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.769 * [misc]backup-simplify: Simplify PI into PI 1545212110.769 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.769 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.770 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212110.770 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.770 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.771 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.771 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.772 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545212110.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212110.773 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.774 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.774 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.774 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.774 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of k in n 1545212110.774 * [misc]backup-simplify: Simplify k into k 1545212110.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.774 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.774 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.774 * [misc]backup-simplify: Simplify -2 into -2 1545212110.774 * [misc]taylor: Taking taylor expansion of n in n 1545212110.775 * [misc]backup-simplify: Simplify 0 into 0 1545212110.775 * [misc]backup-simplify: Simplify 1 into 1 1545212110.775 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.775 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.775 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.775 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.776 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.776 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.776 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.776 * [misc]taylor: Taking taylor expansion of k in n 1545212110.776 * [misc]backup-simplify: Simplify k into k 1545212110.776 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.776 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.777 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.777 * [misc]backup-simplify: Simplify PI into PI 1545212110.777 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.777 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.777 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.777 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212110.778 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.778 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.779 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.779 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.780 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.782 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545212110.782 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.784 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545212110.785 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.785 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212110.786 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212110.786 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.786 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.787 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212110.788 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.788 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545212110.788 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545212110.789 * [misc]backup-simplify: Simplify 0 into 0 1545212110.789 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545212110.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.790 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212110.790 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.790 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212110.790 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.791 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.791 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of k in n 1545212110.791 * [misc]backup-simplify: Simplify k into k 1545212110.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.791 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.791 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.791 * [misc]backup-simplify: Simplify -2 into -2 1545212110.791 * [misc]taylor: Taking taylor expansion of n in n 1545212110.791 * [misc]backup-simplify: Simplify 0 into 0 1545212110.791 * [misc]backup-simplify: Simplify 1 into 1 1545212110.791 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.791 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.791 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.791 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.792 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of k in n 1545212110.792 * [misc]backup-simplify: Simplify k into k 1545212110.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.792 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545212110.792 * [misc]taylor: Taking taylor expansion of PI in n 1545212110.792 * [misc]backup-simplify: Simplify PI into PI 1545212110.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545212110.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.792 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.793 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545212110.793 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.793 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.793 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545212110.794 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.794 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.795 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545212110.795 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1545212110.796 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545212110.796 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545212110.796 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.796 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.796 * [misc]taylor: Taking taylor expansion of k in n 1545212110.796 * [misc]backup-simplify: Simplify k into k 1545212110.796 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.796 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.796 * [misc]backup-simplify: Simplify 2 into 2 1545212110.796 * [misc]taylor: Taking taylor expansion of n in n 1545212110.796 * [misc]backup-simplify: Simplify 0 into 0 1545212110.796 * [misc]backup-simplify: Simplify 1 into 1 1545212110.796 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.796 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.796 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.796 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545212110.796 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545212110.796 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545212110.797 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.797 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545212110.797 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545212110.797 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545212110.797 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545212110.797 * [misc]taylor: Taking taylor expansion of k in n 1545212110.797 * [misc]backup-simplify: Simplify k into k 1545212110.797 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545212110.797 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545212110.797 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212110.797 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545212110.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.798 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.798 * [misc]taylor: Taking taylor expansion of k in k 1545212110.798 * [misc]backup-simplify: Simplify 0 into 0 1545212110.798 * [misc]backup-simplify: Simplify 1 into 1 1545212110.798 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.798 * [misc]backup-simplify: Simplify 2 into 2 1545212110.798 * [misc]taylor: Taking taylor expansion of n in k 1545212110.798 * [misc]backup-simplify: Simplify n into n 1545212110.798 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212110.798 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212110.798 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.798 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.798 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.798 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212110.798 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212110.798 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545212110.798 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212110.798 * [misc]taylor: Taking taylor expansion of k in k 1545212110.798 * [misc]backup-simplify: Simplify 0 into 0 1545212110.798 * [misc]backup-simplify: Simplify 1 into 1 1545212110.799 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.799 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.799 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.799 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.799 * [misc]taylor: Taking taylor expansion of k in k 1545212110.799 * [misc]backup-simplify: Simplify 0 into 0 1545212110.799 * [misc]backup-simplify: Simplify 1 into 1 1545212110.799 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545212110.799 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.799 * [misc]backup-simplify: Simplify 2 into 2 1545212110.799 * [misc]taylor: Taking taylor expansion of n in k 1545212110.799 * [misc]backup-simplify: Simplify n into n 1545212110.799 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545212110.799 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545212110.800 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545212110.800 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.800 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.800 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545212110.800 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545212110.800 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545212110.800 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545212110.800 * [misc]taylor: Taking taylor expansion of k in k 1545212110.800 * [misc]backup-simplify: Simplify 0 into 0 1545212110.800 * [misc]backup-simplify: Simplify 1 into 1 1545212110.800 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.801 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.801 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545212110.801 * [misc]taylor: Taking taylor expansion of 0 in n 1545212110.801 * [misc]backup-simplify: Simplify 0 into 0 1545212110.801 * [misc]backup-simplify: Simplify 0 into 0 1545212110.801 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545212110.801 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545212110.802 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545212110.802 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.802 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545212110.802 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545212110.802 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545212110.803 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545212110.803 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545212110.803 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545212110.803 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.803 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.803 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545212110.803 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212110.803 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212110.803 * [misc]taylor: Taking taylor expansion of n in n 1545212110.803 * [misc]backup-simplify: Simplify 0 into 0 1545212110.803 * [misc]backup-simplify: Simplify 1 into 1 1545212110.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.804 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.804 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212110.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.804 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212110.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212110.804 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.805 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212110.805 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545212110.806 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.806 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.806 * [misc]backup-simplify: Simplify 0 into 0 1545212110.807 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545212110.808 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545212110.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.808 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545212110.809 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545212110.810 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545212110.812 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545212110.812 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545212110.812 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545212110.812 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.813 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.813 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.813 * [misc]backup-simplify: Simplify 2 into 2 1545212110.813 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545212110.813 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545212110.813 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.813 * [misc]backup-simplify: Simplify 2 into 2 1545212110.813 * [misc]taylor: Taking taylor expansion of n in n 1545212110.813 * [misc]backup-simplify: Simplify 0 into 0 1545212110.813 * [misc]backup-simplify: Simplify 1 into 1 1545212110.813 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545212110.813 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545212110.813 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.813 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212110.813 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.814 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212110.814 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212110.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of n in n 1545212110.814 * [misc]backup-simplify: Simplify 0 into 0 1545212110.814 * [misc]backup-simplify: Simplify 1 into 1 1545212110.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.814 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.814 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.814 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.814 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545212110.814 * [misc]taylor: Taking taylor expansion of n in n 1545212110.814 * [misc]backup-simplify: Simplify 0 into 0 1545212110.814 * [misc]backup-simplify: Simplify 1 into 1 1545212110.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.815 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.815 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545212110.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.815 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545212110.815 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545212110.816 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.816 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545212110.817 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545212110.817 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545212110.818 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545212110.818 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545212110.818 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545212110.820 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.821 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545212110.822 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545212110.823 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545212110.824 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545212110.827 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545212110.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.828 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545212110.829 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545212110.830 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.833 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545212110.836 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545212110.838 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545212110.839 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545212110.839 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212110.839 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.840 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.841 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.841 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.842 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545212110.845 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545212110.845 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545212110.845 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545212110.845 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of k in n 1545212110.845 * [misc]backup-simplify: Simplify k into k 1545212110.845 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.845 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.845 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.845 * [misc]backup-simplify: Simplify 2 into 2 1545212110.845 * [misc]taylor: Taking taylor expansion of n in n 1545212110.845 * [misc]backup-simplify: Simplify 0 into 0 1545212110.845 * [misc]backup-simplify: Simplify 1 into 1 1545212110.846 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.846 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.846 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.846 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.846 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.846 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.846 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.847 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545212110.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.847 * [misc]taylor: Taking taylor expansion of k in n 1545212110.847 * [misc]backup-simplify: Simplify k into k 1545212110.847 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.847 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545212110.847 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.847 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545212110.847 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.847 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of k in k 1545212110.847 * [misc]backup-simplify: Simplify 0 into 0 1545212110.847 * [misc]backup-simplify: Simplify 1 into 1 1545212110.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.847 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212110.847 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.847 * [misc]backup-simplify: Simplify 2 into 2 1545212110.847 * [misc]taylor: Taking taylor expansion of n in k 1545212110.848 * [misc]backup-simplify: Simplify n into n 1545212110.848 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212110.848 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212110.848 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.848 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.848 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.848 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212110.848 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.848 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212110.848 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212110.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.848 * [misc]taylor: Taking taylor expansion of k in k 1545212110.848 * [misc]backup-simplify: Simplify 0 into 0 1545212110.848 * [misc]backup-simplify: Simplify 1 into 1 1545212110.848 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.849 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.849 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of k in k 1545212110.849 * [misc]backup-simplify: Simplify 0 into 0 1545212110.849 * [misc]backup-simplify: Simplify 1 into 1 1545212110.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.849 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545212110.849 * [misc]taylor: Taking taylor expansion of 2 in k 1545212110.849 * [misc]backup-simplify: Simplify 2 into 2 1545212110.849 * [misc]taylor: Taking taylor expansion of n in k 1545212110.849 * [misc]backup-simplify: Simplify n into n 1545212110.849 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545212110.849 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545212110.849 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.850 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545212110.850 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545212110.850 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545212110.850 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545212110.850 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545212110.850 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545212110.850 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.850 * [misc]taylor: Taking taylor expansion of k in k 1545212110.850 * [misc]backup-simplify: Simplify 0 into 0 1545212110.850 * [misc]backup-simplify: Simplify 1 into 1 1545212110.850 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.850 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.850 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545212110.851 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545212110.851 * [misc]taylor: Taking taylor expansion of 0 in n 1545212110.851 * [misc]backup-simplify: Simplify 0 into 0 1545212110.851 * [misc]backup-simplify: Simplify 0 into 0 1545212110.851 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212110.851 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.851 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.851 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.851 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.851 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.851 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of k in n 1545212110.851 * [misc]backup-simplify: Simplify k into k 1545212110.851 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.851 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.851 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.851 * [misc]backup-simplify: Simplify 2 into 2 1545212110.852 * [misc]taylor: Taking taylor expansion of n in n 1545212110.852 * [misc]backup-simplify: Simplify 0 into 0 1545212110.852 * [misc]backup-simplify: Simplify 1 into 1 1545212110.852 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.852 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.852 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.852 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.852 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.852 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.852 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.853 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.853 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.853 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.853 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.853 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.854 * [misc]backup-simplify: Simplify 0 into 0 1545212110.854 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545212110.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.855 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212110.855 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.855 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.855 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.855 * [misc]taylor: Taking taylor expansion of k in n 1545212110.855 * [misc]backup-simplify: Simplify k into k 1545212110.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.855 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.856 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.856 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.856 * [misc]backup-simplify: Simplify 2 into 2 1545212110.856 * [misc]taylor: Taking taylor expansion of n in n 1545212110.856 * [misc]backup-simplify: Simplify 0 into 0 1545212110.856 * [misc]backup-simplify: Simplify 1 into 1 1545212110.856 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.856 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.856 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.856 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.856 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.857 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.857 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.857 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.857 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.858 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545212110.859 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545212110.859 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.860 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.860 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.860 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545212110.861 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545212110.862 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545212110.862 * [misc]backup-simplify: Simplify (- 0) into 0 1545212110.862 * [misc]backup-simplify: Simplify 0 into 0 1545212110.862 * [misc]backup-simplify: Simplify 0 into 0 1545212110.862 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.863 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212110.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545212110.865 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545212110.865 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.865 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.865 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of k in n 1545212110.865 * [misc]backup-simplify: Simplify k into k 1545212110.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.865 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545212110.865 * [misc]taylor: Taking taylor expansion of 2 in n 1545212110.865 * [misc]backup-simplify: Simplify 2 into 2 1545212110.865 * [misc]taylor: Taking taylor expansion of n in n 1545212110.865 * [misc]backup-simplify: Simplify 0 into 0 1545212110.865 * [misc]backup-simplify: Simplify 1 into 1 1545212110.865 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545212110.865 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545212110.865 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.865 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545212110.866 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545212110.866 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545212110.866 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545212110.866 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545212110.866 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.867 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545212110.867 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.867 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545212110.868 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545212110.868 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.868 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545212110.868 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.868 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545212110.868 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545212110.868 * [misc]taylor: Taking taylor expansion of -1 in n 1545212110.868 * [misc]backup-simplify: Simplify -1 into -1 1545212110.868 * [misc]taylor: Taking taylor expansion of k in n 1545212110.869 * [misc]backup-simplify: Simplify k into k 1545212110.869 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545212110.869 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545212110.869 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545212110.869 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545212110.869 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of k in n 1545212110.869 * [misc]backup-simplify: Simplify k into k 1545212110.869 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.869 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.869 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.869 * [misc]backup-simplify: Simplify -2 into -2 1545212110.869 * [misc]taylor: Taking taylor expansion of n in n 1545212110.869 * [misc]backup-simplify: Simplify 0 into 0 1545212110.869 * [misc]backup-simplify: Simplify 1 into 1 1545212110.869 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.869 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.869 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.869 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.870 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.870 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.870 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.870 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212110.870 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212110.870 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212110.870 * [misc]taylor: Taking taylor expansion of -1 in k 1545212110.870 * [misc]backup-simplify: Simplify -1 into -1 1545212110.870 * [misc]taylor: Taking taylor expansion of k in k 1545212110.870 * [misc]backup-simplify: Simplify 0 into 0 1545212110.870 * [misc]backup-simplify: Simplify 1 into 1 1545212110.871 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212110.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.871 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212110.871 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.871 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of k in k 1545212110.871 * [misc]backup-simplify: Simplify 0 into 0 1545212110.871 * [misc]backup-simplify: Simplify 1 into 1 1545212110.871 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.871 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212110.871 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212110.872 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.872 * [misc]backup-simplify: Simplify -2 into -2 1545212110.872 * [misc]taylor: Taking taylor expansion of n in k 1545212110.872 * [misc]backup-simplify: Simplify n into n 1545212110.872 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212110.872 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212110.872 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.872 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.872 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212110.872 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.872 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.872 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545212110.872 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545212110.872 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545212110.872 * [misc]taylor: Taking taylor expansion of -1 in k 1545212110.872 * [misc]backup-simplify: Simplify -1 into -1 1545212110.872 * [misc]taylor: Taking taylor expansion of k in k 1545212110.872 * [misc]backup-simplify: Simplify 0 into 0 1545212110.872 * [misc]backup-simplify: Simplify 1 into 1 1545212110.872 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545212110.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545212110.873 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545212110.873 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545212110.873 * [misc]taylor: Taking taylor expansion of k in k 1545212110.873 * [misc]backup-simplify: Simplify 0 into 0 1545212110.873 * [misc]backup-simplify: Simplify 1 into 1 1545212110.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545212110.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545212110.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.874 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545212110.874 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545212110.874 * [misc]taylor: Taking taylor expansion of -2 in k 1545212110.874 * [misc]backup-simplify: Simplify -2 into -2 1545212110.874 * [misc]taylor: Taking taylor expansion of n in k 1545212110.874 * [misc]backup-simplify: Simplify n into n 1545212110.874 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545212110.874 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545212110.874 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545212110.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545212110.874 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545212110.874 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545212110.874 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545212110.874 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.874 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.874 * [misc]taylor: Taking taylor expansion of k in n 1545212110.875 * [misc]backup-simplify: Simplify k into k 1545212110.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.875 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.875 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.875 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.875 * [misc]backup-simplify: Simplify -2 into -2 1545212110.875 * [misc]taylor: Taking taylor expansion of n in n 1545212110.875 * [misc]backup-simplify: Simplify 0 into 0 1545212110.875 * [misc]backup-simplify: Simplify 1 into 1 1545212110.875 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.875 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.875 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.875 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.875 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.876 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.876 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.876 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545212110.877 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545212110.877 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.877 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212110.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212110.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.877 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.877 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.877 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.877 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of k in n 1545212110.878 * [misc]backup-simplify: Simplify k into k 1545212110.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.878 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.878 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.878 * [misc]backup-simplify: Simplify -2 into -2 1545212110.878 * [misc]taylor: Taking taylor expansion of n in n 1545212110.878 * [misc]backup-simplify: Simplify 0 into 0 1545212110.878 * [misc]backup-simplify: Simplify 1 into 1 1545212110.878 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.878 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.878 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.878 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.879 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.879 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.879 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.879 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.879 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212110.880 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212110.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545212110.881 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545212110.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545212110.882 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545212110.882 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545212110.882 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.882 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545212110.883 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545212110.884 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545212110.884 * [misc]backup-simplify: Simplify 0 into 0 1545212110.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545212110.884 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545212110.885 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545212110.885 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545212110.885 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545212110.885 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of k in n 1545212110.885 * [misc]backup-simplify: Simplify k into k 1545212110.885 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545212110.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545212110.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545212110.885 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545212110.885 * [misc]taylor: Taking taylor expansion of -2 in n 1545212110.885 * [misc]backup-simplify: Simplify -2 into -2 1545212110.885 * [misc]taylor: Taking taylor expansion of n in n 1545212110.885 * [misc]backup-simplify: Simplify 0 into 0 1545212110.885 * [misc]backup-simplify: Simplify 1 into 1 1545212110.886 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545212110.886 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545212110.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545212110.886 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545212110.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545212110.886 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545212110.886 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545212110.887 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.887 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545212110.887 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212110.887 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545212110.888 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545212110.888 * * * [misc]progress: simplifying candidates 1545212110.889 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1545212110.889 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1545212110.889 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545212110.889 * * [misc]simplify: iters left: 3 (5 enodes) 1545212110.890 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545212110.890 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.890 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1545212110.890 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212110.890 * * [misc]simplify: iters left: 5 (6 enodes) 1545212110.891 * * [misc]simplify: iters left: 4 (8 enodes) 1545212110.892 * * [misc]simplify: iters left: 3 (11 enodes) 1545212110.894 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212110.894 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.894 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1545212110.894 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212110.894 * * [misc]simplify: iters left: 5 (6 enodes) 1545212110.895 * * [misc]simplify: iters left: 4 (8 enodes) 1545212110.897 * * [misc]simplify: iters left: 3 (11 enodes) 1545212110.898 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212110.898 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.898 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1545212110.898 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212110.898 * * [misc]simplify: iters left: 4 (5 enodes) 1545212110.899 * * [misc]simplify: iters left: 3 (7 enodes) 1545212110.900 * * [misc]simplify: iters left: 2 (10 enodes) 1545212110.901 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212110.901 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.901 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1545212110.902 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545212110.902 * * [misc]simplify: iters left: 5 (6 enodes) 1545212110.903 * * [misc]simplify: iters left: 4 (8 enodes) 1545212110.904 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545212110.904 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.904 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1545212110.904 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545212110.904 * * [misc]simplify: iters left: 5 (6 enodes) 1545212110.905 * * [misc]simplify: iters left: 4 (8 enodes) 1545212110.906 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545212110.906 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212110.906 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1545212110.906 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1545212110.906 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1545212110.906 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1545212110.907 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1545212110.907 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1545212110.907 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1545212110.907 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1545212110.907 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545212110.907 * * [misc]simplify: iters left: 6 (9 enodes) 1545212110.910 * * [misc]simplify: iters left: 5 (16 enodes) 1545212110.915 * * [misc]simplify: iters left: 4 (32 enodes) 1545212110.927 * * [misc]simplify: iters left: 3 (68 enodes) 1545212110.958 * * [misc]simplify: iters left: 2 (171 enodes) 1545212111.032 * * [misc]simplify: iters left: 1 (342 enodes) 1545212111.162 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545212111.162 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545212111.163 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1545212111.163 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1545212111.163 * [enter]simplify: Simplifying (* n 2) 1545212111.163 * * [misc]simplify: iters left: 2 (3 enodes) 1545212111.163 * * [misc]simplify: iters left: 1 (4 enodes) 1545212111.164 * [exit]simplify: Simplified to (* n 2) 1545212111.164 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1545212111.164 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1545212111.164 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212111.164 * * [misc]simplify: iters left: 3 (6 enodes) 1545212111.165 * * [misc]simplify: iters left: 2 (7 enodes) 1545212111.166 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212111.166 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1545212111.166 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1545212111.166 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545212111.166 * * [misc]simplify: iters left: 5 (6 enodes) 1545212111.167 * * [misc]simplify: iters left: 4 (8 enodes) 1545212111.168 * * [misc]simplify: iters left: 3 (11 enodes) 1545212111.170 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545212111.170 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545212111.170 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1545212111.170 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545212111.170 * * [misc]simplify: iters left: 5 (6 enodes) 1545212111.171 * * [misc]simplify: iters left: 4 (8 enodes) 1545212111.172 * * [misc]simplify: iters left: 3 (11 enodes) 1545212111.174 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545212111.174 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545212111.174 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1545212111.174 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545212111.174 * * [misc]simplify: iters left: 4 (5 enodes) 1545212111.175 * * [misc]simplify: iters left: 3 (7 enodes) 1545212111.178 * * [misc]simplify: iters left: 2 (10 enodes) 1545212111.179 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545212111.179 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1545212111.179 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1545212111.179 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212111.179 * * [misc]simplify: iters left: 5 (7 enodes) 1545212111.180 * * [misc]simplify: iters left: 4 (10 enodes) 1545212111.182 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212111.182 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545212111.182 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1545212111.182 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212111.182 * * [misc]simplify: iters left: 5 (7 enodes) 1545212111.183 * * [misc]simplify: iters left: 4 (10 enodes) 1545212111.186 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212111.186 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1545212111.186 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1545212111.187 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545212111.187 * * [misc]simplify: iters left: 5 (7 enodes) 1545212111.189 * * [misc]simplify: iters left: 4 (9 enodes) 1545212111.191 * * [misc]simplify: iters left: 3 (12 enodes) 1545212111.195 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212111.195 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1545212111.195 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1545212111.195 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1545212111.196 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212111.196 * * [misc]simplify: iters left: 6 (16 enodes) 1545212111.202 * * [misc]simplify: iters left: 5 (30 enodes) 1545212111.212 * * [misc]simplify: iters left: 4 (66 enodes) 1545212111.244 * * [misc]simplify: iters left: 3 (209 enodes) 1545212111.371 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212111.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212111.371 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1545212111.372 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212111.372 * * [misc]simplify: iters left: 6 (16 enodes) 1545212111.378 * * [misc]simplify: iters left: 5 (30 enodes) 1545212111.388 * * [misc]simplify: iters left: 4 (66 enodes) 1545212111.420 * * [misc]simplify: iters left: 3 (209 enodes) 1545212111.540 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1545212111.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1545212111.540 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1545212111.541 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212111.541 * * [misc]simplify: iters left: 6 (16 enodes) 1545212111.545 * * [misc]simplify: iters left: 5 (28 enodes) 1545212111.560 * * [misc]simplify: iters left: 4 (54 enodes) 1545212111.581 * * [misc]simplify: iters left: 3 (132 enodes) 1545212111.660 * * [misc]simplify: iters left: 2 (467 enodes) 1545212112.082 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545212112.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545212112.082 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1545212112.082 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212112.082 * * [misc]simplify: iters left: 6 (15 enodes) 1545212112.091 * * [misc]simplify: iters left: 5 (24 enodes) 1545212112.098 * * [misc]simplify: iters left: 4 (40 enodes) 1545212112.111 * * [misc]simplify: iters left: 3 (81 enodes) 1545212112.137 * * [misc]simplify: iters left: 2 (186 enodes) 1545212112.273 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545212112.273 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545212112.273 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1545212112.274 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212112.274 * * [misc]simplify: iters left: 6 (16 enodes) 1545212112.280 * * [misc]simplify: iters left: 5 (31 enodes) 1545212112.290 * * [misc]simplify: iters left: 4 (62 enodes) 1545212112.314 * * [misc]simplify: iters left: 3 (183 enodes) 1545212112.386 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545212112.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545212112.386 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1545212112.386 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545212112.386 * * [misc]simplify: iters left: 6 (16 enodes) 1545212112.392 * * [misc]simplify: iters left: 5 (31 enodes) 1545212112.402 * * [misc]simplify: iters left: 4 (62 enodes) 1545212112.425 * * [misc]simplify: iters left: 3 (183 enodes) 1545212112.539 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545212112.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545212112.540 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1545212112.540 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212112.540 * * [misc]simplify: iters left: 6 (16 enodes) 1545212112.549 * * [misc]simplify: iters left: 5 (29 enodes) 1545212112.558 * * [misc]simplify: iters left: 4 (50 enodes) 1545212112.567 * * [misc]simplify: iters left: 3 (106 enodes) 1545212112.615 * * [misc]simplify: iters left: 2 (416 enodes) 1545212112.899 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545212112.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545212112.899 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1545212112.900 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212112.900 * * [misc]simplify: iters left: 6 (15 enodes) 1545212112.902 * * [misc]simplify: iters left: 5 (25 enodes) 1545212112.905 * * [misc]simplify: iters left: 4 (36 enodes) 1545212112.911 * * [misc]simplify: iters left: 3 (59 enodes) 1545212112.927 * * [misc]simplify: iters left: 2 (151 enodes) 1545212113.003 * * [misc]simplify: iters left: 1 (498 enodes) 1545212113.370 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545212113.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545212113.371 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1545212113.371 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1545212113.371 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1545212113.371 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212113.371 * * [misc]simplify: iters left: 6 (19 enodes) 1545212113.378 * * [misc]simplify: iters left: 5 (36 enodes) 1545212113.389 * * [misc]simplify: iters left: 4 (112 enodes) 1545212113.432 * * [misc]simplify: iters left: 3 (434 enodes) 1545212113.898 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545212113.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545212113.898 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1545212113.898 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212113.898 * * [misc]simplify: iters left: 6 (17 enodes) 1545212113.902 * * [misc]simplify: iters left: 5 (35 enodes) 1545212113.912 * * [misc]simplify: iters left: 4 (92 enodes) 1545212113.933 * * [misc]simplify: iters left: 3 (254 enodes) 1545212114.132 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.132 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.132 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1545212114.132 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1545212114.133 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1545212114.133 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1545212114.133 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1545212114.133 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.133 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.138 * * [misc]simplify: iters left: 5 (21 enodes) 1545212114.144 * * [misc]simplify: iters left: 4 (24 enodes) 1545212114.151 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.151 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.152 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.156 * * [misc]simplify: iters left: 5 (19 enodes) 1545212114.161 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.167 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.167 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1545212114.168 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.168 * * [misc]simplify: iters left: 6 (14 enodes) 1545212114.172 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.177 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.182 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.183 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.183 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.185 * * [misc]simplify: iters left: 5 (19 enodes) 1545212114.188 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.191 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.191 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1545212114.191 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212114.191 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.193 * * [misc]simplify: iters left: 5 (20 enodes) 1545212114.196 * * [misc]simplify: iters left: 4 (27 enodes) 1545212114.200 * * [misc]simplify: iters left: 3 (39 enodes) 1545212114.205 * * [misc]simplify: iters left: 2 (44 enodes) 1545212114.213 * * [misc]simplify: iters left: 1 (51 enodes) 1545212114.219 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545212114.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212114.220 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212114.220 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.224 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.228 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.234 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.240 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212114.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212114.241 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1545212114.241 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212114.241 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.245 * * [misc]simplify: iters left: 5 (20 enodes) 1545212114.251 * * [misc]simplify: iters left: 4 (27 enodes) 1545212114.259 * * [misc]simplify: iters left: 3 (39 enodes) 1545212114.270 * * [misc]simplify: iters left: 2 (44 enodes) 1545212114.281 * * [misc]simplify: iters left: 1 (51 enodes) 1545212114.293 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545212114.293 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212114.294 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212114.294 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.297 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.302 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.308 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.314 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212114.314 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212114.314 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1545212114.314 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212114.314 * * [misc]simplify: iters left: 6 (14 enodes) 1545212114.318 * * [misc]simplify: iters left: 5 (21 enodes) 1545212114.323 * * [misc]simplify: iters left: 4 (31 enodes) 1545212114.331 * * [misc]simplify: iters left: 3 (43 enodes) 1545212114.343 * * [misc]simplify: iters left: 2 (48 enodes) 1545212114.355 * * [misc]simplify: iters left: 1 (55 enodes) 1545212114.370 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545212114.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212114.370 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212114.371 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.374 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.380 * * [misc]simplify: iters left: 4 (22 enodes) 1545212114.386 * * [misc]simplify: iters left: 3 (24 enodes) 1545212114.392 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212114.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212114.392 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1545212114.392 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.392 * * [misc]simplify: iters left: 6 (17 enodes) 1545212114.398 * * [misc]simplify: iters left: 5 (29 enodes) 1545212114.407 * * [misc]simplify: iters left: 4 (50 enodes) 1545212114.422 * * [misc]simplify: iters left: 3 (73 enodes) 1545212114.445 * * [misc]simplify: iters left: 2 (103 enodes) 1545212114.477 * * [misc]simplify: iters left: 1 (127 enodes) 1545212114.522 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212114.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.522 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.523 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.527 * * [misc]simplify: iters left: 5 (22 enodes) 1545212114.534 * * [misc]simplify: iters left: 4 (26 enodes) 1545212114.541 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.549 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212114.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212114.549 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1545212114.549 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.549 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.554 * * [misc]simplify: iters left: 5 (24 enodes) 1545212114.560 * * [misc]simplify: iters left: 4 (34 enodes) 1545212114.565 * * [misc]simplify: iters left: 3 (46 enodes) 1545212114.572 * * [misc]simplify: iters left: 2 (51 enodes) 1545212114.579 * * [misc]simplify: iters left: 1 (58 enodes) 1545212114.586 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1545212114.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.586 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.587 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.591 * * [misc]simplify: iters left: 5 (22 enodes) 1545212114.597 * * [misc]simplify: iters left: 4 (26 enodes) 1545212114.604 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.612 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212114.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212114.612 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1545212114.612 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212114.612 * * [misc]simplify: iters left: 6 (10 enodes) 1545212114.616 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.623 * * [misc]simplify: iters left: 4 (28 enodes) 1545212114.630 * * [misc]simplify: iters left: 3 (33 enodes) 1545212114.637 * * [misc]simplify: iters left: 2 (50 enodes) 1545212114.646 * * [misc]simplify: iters left: 1 (65 enodes) 1545212114.655 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545212114.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.655 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212114.656 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.658 * * [misc]simplify: iters left: 5 (21 enodes) 1545212114.661 * * [misc]simplify: iters left: 4 (25 enodes) 1545212114.664 * * [misc]simplify: iters left: 3 (27 enodes) 1545212114.668 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1545212114.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1545212114.668 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1545212114.668 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212114.669 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.672 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.677 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.683 * * [misc]simplify: iters left: 3 (22 enodes) 1545212114.686 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545212114.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212114.686 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212114.686 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.688 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.690 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.693 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.696 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212114.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212114.696 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1545212114.697 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212114.697 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.698 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.701 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.703 * * [misc]simplify: iters left: 3 (22 enodes) 1545212114.706 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545212114.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212114.706 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212114.706 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.708 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.711 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.717 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.723 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212114.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212114.723 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1545212114.724 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212114.724 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.728 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.733 * * [misc]simplify: iters left: 4 (24 enodes) 1545212114.737 * * [misc]simplify: iters left: 3 (26 enodes) 1545212114.741 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212114.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212114.741 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212114.741 * * [misc]simplify: iters left: 6 (13 enodes) 1545212114.743 * * [misc]simplify: iters left: 5 (18 enodes) 1545212114.745 * * [misc]simplify: iters left: 4 (22 enodes) 1545212114.748 * * [misc]simplify: iters left: 3 (24 enodes) 1545212114.752 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212114.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212114.752 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1545212114.752 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.752 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.754 * * [misc]simplify: iters left: 5 (24 enodes) 1545212114.758 * * [misc]simplify: iters left: 4 (32 enodes) 1545212114.762 * * [misc]simplify: iters left: 3 (41 enodes) 1545212114.768 * * [misc]simplify: iters left: 2 (49 enodes) 1545212114.774 * * [misc]simplify: iters left: 1 (51 enodes) 1545212114.784 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212114.784 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.784 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.785 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.790 * * [misc]simplify: iters left: 5 (22 enodes) 1545212114.797 * * [misc]simplify: iters left: 4 (26 enodes) 1545212114.804 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.808 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212114.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212114.809 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1545212114.809 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.809 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.811 * * [misc]simplify: iters left: 5 (21 enodes) 1545212114.814 * * [misc]simplify: iters left: 4 (27 enodes) 1545212114.819 * * [misc]simplify: iters left: 3 (29 enodes) 1545212114.822 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1545212114.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212114.823 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212114.823 * * [misc]simplify: iters left: 6 (16 enodes) 1545212114.827 * * [misc]simplify: iters left: 5 (22 enodes) 1545212114.834 * * [misc]simplify: iters left: 4 (26 enodes) 1545212114.841 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.848 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212114.848 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212114.848 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1545212114.849 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1545212114.849 * * [misc]simplify: iters left: 6 (9 enodes) 1545212114.850 * * [misc]simplify: iters left: 5 (14 enodes) 1545212114.852 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.855 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.857 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1545212114.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.857 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212114.857 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.860 * * [misc]simplify: iters left: 5 (21 enodes) 1545212114.863 * * [misc]simplify: iters left: 4 (25 enodes) 1545212114.866 * * [misc]simplify: iters left: 3 (27 enodes) 1545212114.870 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1545212114.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1545212114.870 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1545212114.870 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545212114.870 * * [misc]simplify: iters left: 6 (10 enodes) 1545212114.872 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.874 * * [misc]simplify: iters left: 4 (19 enodes) 1545212114.879 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.886 * * [misc]simplify: iters left: 2 (31 enodes) 1545212114.893 * * [misc]simplify: iters left: 1 (33 enodes) 1545212114.900 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545212114.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212114.900 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212114.900 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.904 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.908 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.911 * * [misc]simplify: iters left: 3 (22 enodes) 1545212114.914 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212114.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212114.914 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1545212114.914 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545212114.914 * * [misc]simplify: iters left: 6 (10 enodes) 1545212114.916 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.918 * * [misc]simplify: iters left: 4 (19 enodes) 1545212114.921 * * [misc]simplify: iters left: 3 (28 enodes) 1545212114.925 * * [misc]simplify: iters left: 2 (31 enodes) 1545212114.929 * * [misc]simplify: iters left: 1 (33 enodes) 1545212114.933 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545212114.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212114.933 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212114.933 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.935 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.939 * * [misc]simplify: iters left: 4 (20 enodes) 1545212114.944 * * [misc]simplify: iters left: 3 (22 enodes) 1545212114.947 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212114.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212114.947 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1545212114.947 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212114.947 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.949 * * [misc]simplify: iters left: 5 (19 enodes) 1545212114.952 * * [misc]simplify: iters left: 4 (24 enodes) 1545212114.956 * * [misc]simplify: iters left: 3 (33 enodes) 1545212114.960 * * [misc]simplify: iters left: 2 (36 enodes) 1545212114.964 * * [misc]simplify: iters left: 1 (39 enodes) 1545212114.969 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1545212114.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212114.969 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212114.969 * * [misc]simplify: iters left: 6 (12 enodes) 1545212114.971 * * [misc]simplify: iters left: 5 (17 enodes) 1545212114.974 * * [misc]simplify: iters left: 4 (21 enodes) 1545212114.978 * * [misc]simplify: iters left: 3 (23 enodes) 1545212114.984 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212114.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212114.984 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1545212114.985 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212114.985 * * [misc]simplify: iters left: 6 (15 enodes) 1545212114.990 * * [misc]simplify: iters left: 5 (25 enodes) 1545212114.997 * * [misc]simplify: iters left: 4 (32 enodes) 1545212115.006 * * [misc]simplify: iters left: 3 (47 enodes) 1545212115.012 * * [misc]simplify: iters left: 2 (62 enodes) 1545212115.022 * * [misc]simplify: iters left: 1 (76 enodes) 1545212115.037 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1545212115.038 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.038 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.038 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.043 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.049 * * [misc]simplify: iters left: 4 (25 enodes) 1545212115.056 * * [misc]simplify: iters left: 3 (27 enodes) 1545212115.062 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545212115.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545212115.063 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1545212115.063 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.063 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.067 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.074 * * [misc]simplify: iters left: 4 (27 enodes) 1545212115.082 * * [misc]simplify: iters left: 3 (36 enodes) 1545212115.091 * * [misc]simplify: iters left: 2 (39 enodes) 1545212115.096 * * [misc]simplify: iters left: 1 (42 enodes) 1545212115.101 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1545212115.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.101 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.101 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.104 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.107 * * [misc]simplify: iters left: 4 (25 enodes) 1545212115.110 * * [misc]simplify: iters left: 3 (27 enodes) 1545212115.114 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545212115.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545212115.114 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1545212115.114 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1545212115.114 * * [misc]simplify: iters left: 4 (6 enodes) 1545212115.115 * * [misc]simplify: iters left: 3 (9 enodes) 1545212115.116 * [exit]simplify: Simplified to (sqrt PI) 1545212115.116 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.116 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.116 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.118 * * [misc]simplify: iters left: 5 (20 enodes) 1545212115.123 * * [misc]simplify: iters left: 4 (24 enodes) 1545212115.130 * * [misc]simplify: iters left: 3 (26 enodes) 1545212115.136 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.136 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1545212115.137 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1545212115.137 * * [misc]simplify: iters left: 3 (5 enodes) 1545212115.138 * * [misc]simplify: iters left: 2 (8 enodes) 1545212115.140 * * [misc]simplify: iters left: 1 (10 enodes) 1545212115.141 * [exit]simplify: Simplified to (sqrt PI) 1545212115.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.141 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.141 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.143 * * [misc]simplify: iters left: 5 (20 enodes) 1545212115.146 * * [misc]simplify: iters left: 4 (24 enodes) 1545212115.149 * * [misc]simplify: iters left: 3 (26 enodes) 1545212115.153 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.153 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1545212115.153 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1545212115.153 * * [misc]simplify: iters left: 3 (6 enodes) 1545212115.154 * * [misc]simplify: iters left: 2 (7 enodes) 1545212115.155 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1545212115.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.155 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.155 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.157 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.161 * * [misc]simplify: iters left: 4 (26 enodes) 1545212115.165 * * [misc]simplify: iters left: 3 (36 enodes) 1545212115.170 * * [misc]simplify: iters left: 2 (38 enodes) 1545212115.175 * * [misc]simplify: iters left: 1 (43 enodes) 1545212115.184 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1545212115.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1545212115.184 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1545212115.185 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212115.185 * * [misc]simplify: iters left: 6 (11 enodes) 1545212115.188 * * [misc]simplify: iters left: 5 (16 enodes) 1545212115.192 * * [misc]simplify: iters left: 4 (19 enodes) 1545212115.197 * * [misc]simplify: iters left: 3 (21 enodes) 1545212115.202 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1545212115.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1545212115.202 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1545212115.202 * * [misc]simplify: iters left: 6 (10 enodes) 1545212115.205 * * [misc]simplify: iters left: 5 (13 enodes) 1545212115.209 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1545212115.209 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1545212115.209 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1545212115.210 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.210 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.214 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.220 * * [misc]simplify: iters left: 4 (24 enodes) 1545212115.223 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.223 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.223 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.224 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.226 * * [misc]simplify: iters left: 5 (19 enodes) 1545212115.228 * * [misc]simplify: iters left: 4 (20 enodes) 1545212115.231 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.231 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1545212115.232 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.232 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.234 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.236 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.239 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.239 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.240 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.245 * * [misc]simplify: iters left: 5 (19 enodes) 1545212115.250 * * [misc]simplify: iters left: 4 (20 enodes) 1545212115.256 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.256 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1545212115.256 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212115.256 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.258 * * [misc]simplify: iters left: 5 (20 enodes) 1545212115.261 * * [misc]simplify: iters left: 4 (27 enodes) 1545212115.265 * * [misc]simplify: iters left: 3 (39 enodes) 1545212115.271 * * [misc]simplify: iters left: 2 (44 enodes) 1545212115.276 * * [misc]simplify: iters left: 1 (51 enodes) 1545212115.283 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545212115.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212115.283 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212115.283 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.287 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.291 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.296 * * [misc]simplify: iters left: 3 (23 enodes) 1545212115.302 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212115.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212115.303 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1545212115.303 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212115.303 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.307 * * [misc]simplify: iters left: 5 (20 enodes) 1545212115.313 * * [misc]simplify: iters left: 4 (27 enodes) 1545212115.322 * * [misc]simplify: iters left: 3 (39 enodes) 1545212115.333 * * [misc]simplify: iters left: 2 (44 enodes) 1545212115.344 * * [misc]simplify: iters left: 1 (51 enodes) 1545212115.377 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1545212115.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212115.377 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212115.378 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.381 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.386 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.393 * * [misc]simplify: iters left: 3 (23 enodes) 1545212115.397 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212115.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212115.397 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1545212115.397 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212115.397 * * [misc]simplify: iters left: 6 (14 enodes) 1545212115.399 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.402 * * [misc]simplify: iters left: 4 (31 enodes) 1545212115.407 * * [misc]simplify: iters left: 3 (43 enodes) 1545212115.414 * * [misc]simplify: iters left: 2 (48 enodes) 1545212115.420 * * [misc]simplify: iters left: 1 (55 enodes) 1545212115.427 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1545212115.427 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212115.427 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212115.428 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.429 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.432 * * [misc]simplify: iters left: 4 (22 enodes) 1545212115.435 * * [misc]simplify: iters left: 3 (24 enodes) 1545212115.438 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1545212115.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1545212115.438 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1545212115.439 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.439 * * [misc]simplify: iters left: 6 (17 enodes) 1545212115.444 * * [misc]simplify: iters left: 5 (29 enodes) 1545212115.453 * * [misc]simplify: iters left: 4 (50 enodes) 1545212115.468 * * [misc]simplify: iters left: 3 (73 enodes) 1545212115.485 * * [misc]simplify: iters left: 2 (103 enodes) 1545212115.502 * * [misc]simplify: iters left: 1 (127 enodes) 1545212115.525 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212115.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.525 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.525 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.528 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.531 * * [misc]simplify: iters left: 4 (26 enodes) 1545212115.534 * * [misc]simplify: iters left: 3 (28 enodes) 1545212115.541 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212115.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212115.541 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1545212115.542 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.542 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.547 * * [misc]simplify: iters left: 5 (24 enodes) 1545212115.553 * * [misc]simplify: iters left: 4 (34 enodes) 1545212115.563 * * [misc]simplify: iters left: 3 (46 enodes) 1545212115.575 * * [misc]simplify: iters left: 2 (51 enodes) 1545212115.589 * * [misc]simplify: iters left: 1 (58 enodes) 1545212115.604 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1545212115.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.604 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.604 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.609 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.613 * * [misc]simplify: iters left: 4 (26 enodes) 1545212115.617 * * [misc]simplify: iters left: 3 (28 enodes) 1545212115.621 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212115.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212115.621 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1545212115.621 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212115.621 * * [misc]simplify: iters left: 6 (10 enodes) 1545212115.623 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.626 * * [misc]simplify: iters left: 4 (28 enodes) 1545212115.630 * * [misc]simplify: iters left: 3 (33 enodes) 1545212115.634 * * [misc]simplify: iters left: 2 (50 enodes) 1545212115.645 * * [misc]simplify: iters left: 1 (65 enodes) 1545212115.663 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1545212115.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.663 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.663 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.668 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.674 * * [misc]simplify: iters left: 4 (25 enodes) 1545212115.681 * * [misc]simplify: iters left: 3 (27 enodes) 1545212115.688 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1545212115.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1545212115.688 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1545212115.689 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212115.689 * * [misc]simplify: iters left: 6 (12 enodes) 1545212115.692 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.697 * * [misc]simplify: iters left: 4 (20 enodes) 1545212115.702 * * [misc]simplify: iters left: 3 (22 enodes) 1545212115.708 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545212115.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212115.708 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212115.708 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.712 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.719 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.725 * * [misc]simplify: iters left: 3 (23 enodes) 1545212115.731 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212115.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212115.731 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1545212115.732 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212115.732 * * [misc]simplify: iters left: 6 (12 enodes) 1545212115.736 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.740 * * [misc]simplify: iters left: 4 (20 enodes) 1545212115.746 * * [misc]simplify: iters left: 3 (22 enodes) 1545212115.751 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1545212115.751 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212115.752 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212115.752 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.756 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.761 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.766 * * [misc]simplify: iters left: 3 (23 enodes) 1545212115.773 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212115.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212115.773 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1545212115.773 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212115.773 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.777 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.782 * * [misc]simplify: iters left: 4 (24 enodes) 1545212115.788 * * [misc]simplify: iters left: 3 (26 enodes) 1545212115.795 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212115.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212115.795 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212115.795 * * [misc]simplify: iters left: 6 (13 enodes) 1545212115.799 * * [misc]simplify: iters left: 5 (18 enodes) 1545212115.804 * * [misc]simplify: iters left: 4 (22 enodes) 1545212115.810 * * [misc]simplify: iters left: 3 (24 enodes) 1545212115.817 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1545212115.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1545212115.817 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1545212115.818 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.818 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.823 * * [misc]simplify: iters left: 5 (24 enodes) 1545212115.830 * * [misc]simplify: iters left: 4 (32 enodes) 1545212115.840 * * [misc]simplify: iters left: 3 (41 enodes) 1545212115.852 * * [misc]simplify: iters left: 2 (49 enodes) 1545212115.864 * * [misc]simplify: iters left: 1 (51 enodes) 1545212115.879 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212115.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.879 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.879 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.884 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.891 * * [misc]simplify: iters left: 4 (26 enodes) 1545212115.898 * * [misc]simplify: iters left: 3 (28 enodes) 1545212115.906 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212115.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212115.906 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1545212115.906 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.906 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.909 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.912 * * [misc]simplify: iters left: 4 (27 enodes) 1545212115.916 * * [misc]simplify: iters left: 3 (29 enodes) 1545212115.919 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1545212115.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212115.920 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212115.920 * * [misc]simplify: iters left: 6 (16 enodes) 1545212115.922 * * [misc]simplify: iters left: 5 (22 enodes) 1545212115.925 * * [misc]simplify: iters left: 4 (26 enodes) 1545212115.929 * * [misc]simplify: iters left: 3 (28 enodes) 1545212115.933 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212115.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212115.933 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1545212115.933 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1545212115.933 * * [misc]simplify: iters left: 6 (9 enodes) 1545212115.934 * * [misc]simplify: iters left: 5 (14 enodes) 1545212115.937 * * [misc]simplify: iters left: 4 (21 enodes) 1545212115.939 * * [misc]simplify: iters left: 3 (23 enodes) 1545212115.941 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1545212115.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212115.942 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212115.942 * * [misc]simplify: iters left: 6 (15 enodes) 1545212115.945 * * [misc]simplify: iters left: 5 (21 enodes) 1545212115.951 * * [misc]simplify: iters left: 4 (25 enodes) 1545212115.958 * * [misc]simplify: iters left: 3 (27 enodes) 1545212115.965 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1545212115.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1545212115.965 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1545212115.965 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545212115.965 * * [misc]simplify: iters left: 6 (10 enodes) 1545212115.968 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.970 * * [misc]simplify: iters left: 4 (19 enodes) 1545212115.973 * * [misc]simplify: iters left: 3 (28 enodes) 1545212115.976 * * [misc]simplify: iters left: 2 (31 enodes) 1545212115.980 * * [misc]simplify: iters left: 1 (33 enodes) 1545212115.984 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545212115.984 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212115.984 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212115.985 * * [misc]simplify: iters left: 6 (12 enodes) 1545212115.986 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.989 * * [misc]simplify: iters left: 4 (20 enodes) 1545212115.991 * * [misc]simplify: iters left: 3 (22 enodes) 1545212115.995 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212115.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212115.995 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1545212115.995 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1545212115.995 * * [misc]simplify: iters left: 6 (10 enodes) 1545212115.996 * * [misc]simplify: iters left: 5 (17 enodes) 1545212115.999 * * [misc]simplify: iters left: 4 (19 enodes) 1545212116.002 * * [misc]simplify: iters left: 3 (28 enodes) 1545212116.005 * * [misc]simplify: iters left: 2 (31 enodes) 1545212116.009 * * [misc]simplify: iters left: 1 (33 enodes) 1545212116.012 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545212116.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212116.013 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212116.013 * * [misc]simplify: iters left: 6 (12 enodes) 1545212116.015 * * [misc]simplify: iters left: 5 (17 enodes) 1545212116.019 * * [misc]simplify: iters left: 4 (20 enodes) 1545212116.025 * * [misc]simplify: iters left: 3 (22 enodes) 1545212116.031 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212116.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212116.031 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1545212116.031 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212116.031 * * [misc]simplify: iters left: 6 (12 enodes) 1545212116.035 * * [misc]simplify: iters left: 5 (19 enodes) 1545212116.040 * * [misc]simplify: iters left: 4 (24 enodes) 1545212116.048 * * [misc]simplify: iters left: 3 (33 enodes) 1545212116.056 * * [misc]simplify: iters left: 2 (36 enodes) 1545212116.065 * * [misc]simplify: iters left: 1 (39 enodes) 1545212116.074 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1545212116.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212116.074 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212116.074 * * [misc]simplify: iters left: 6 (12 enodes) 1545212116.077 * * [misc]simplify: iters left: 5 (17 enodes) 1545212116.079 * * [misc]simplify: iters left: 4 (21 enodes) 1545212116.082 * * [misc]simplify: iters left: 3 (23 enodes) 1545212116.085 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212116.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212116.085 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1545212116.085 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.085 * * [misc]simplify: iters left: 6 (15 enodes) 1545212116.087 * * [misc]simplify: iters left: 5 (25 enodes) 1545212116.092 * * [misc]simplify: iters left: 4 (32 enodes) 1545212116.097 * * [misc]simplify: iters left: 3 (47 enodes) 1545212116.104 * * [misc]simplify: iters left: 2 (62 enodes) 1545212116.116 * * [misc]simplify: iters left: 1 (76 enodes) 1545212116.130 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1545212116.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212116.130 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.130 * * [misc]simplify: iters left: 6 (15 enodes) 1545212116.132 * * [misc]simplify: iters left: 5 (21 enodes) 1545212116.135 * * [misc]simplify: iters left: 4 (25 enodes) 1545212116.139 * * [misc]simplify: iters left: 3 (27 enodes) 1545212116.145 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545212116.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545212116.146 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1545212116.146 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.146 * * [misc]simplify: iters left: 6 (14 enodes) 1545212116.150 * * [misc]simplify: iters left: 5 (22 enodes) 1545212116.157 * * [misc]simplify: iters left: 4 (27 enodes) 1545212116.165 * * [misc]simplify: iters left: 3 (36 enodes) 1545212116.174 * * [misc]simplify: iters left: 2 (39 enodes) 1545212116.184 * * [misc]simplify: iters left: 1 (42 enodes) 1545212116.194 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1545212116.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212116.195 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.195 * * [misc]simplify: iters left: 6 (15 enodes) 1545212116.197 * * [misc]simplify: iters left: 5 (21 enodes) 1545212116.200 * * [misc]simplify: iters left: 4 (25 enodes) 1545212116.205 * * [misc]simplify: iters left: 3 (27 enodes) 1545212116.208 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1545212116.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1545212116.208 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1545212116.209 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1545212116.209 * * [misc]simplify: iters left: 4 (6 enodes) 1545212116.210 * * [misc]simplify: iters left: 3 (9 enodes) 1545212116.211 * [exit]simplify: Simplified to (sqrt PI) 1545212116.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.211 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212116.211 * * [misc]simplify: iters left: 6 (14 enodes) 1545212116.213 * * [misc]simplify: iters left: 5 (20 enodes) 1545212116.216 * * [misc]simplify: iters left: 4 (24 enodes) 1545212116.220 * * [misc]simplify: iters left: 3 (26 enodes) 1545212116.223 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212116.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.223 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1545212116.223 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1545212116.223 * * [misc]simplify: iters left: 3 (5 enodes) 1545212116.224 * * [misc]simplify: iters left: 2 (8 enodes) 1545212116.226 * * [misc]simplify: iters left: 1 (10 enodes) 1545212116.227 * [exit]simplify: Simplified to (sqrt PI) 1545212116.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.227 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212116.227 * * [misc]simplify: iters left: 6 (14 enodes) 1545212116.231 * * [misc]simplify: iters left: 5 (20 enodes) 1545212116.237 * * [misc]simplify: iters left: 4 (24 enodes) 1545212116.243 * * [misc]simplify: iters left: 3 (26 enodes) 1545212116.251 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212116.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.251 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1545212116.251 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1545212116.251 * * [misc]simplify: iters left: 3 (6 enodes) 1545212116.253 * * [misc]simplify: iters left: 2 (7 enodes) 1545212116.255 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1545212116.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.255 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212116.255 * * [misc]simplify: iters left: 6 (14 enodes) 1545212116.260 * * [misc]simplify: iters left: 5 (22 enodes) 1545212116.266 * * [misc]simplify: iters left: 4 (26 enodes) 1545212116.274 * * [misc]simplify: iters left: 3 (36 enodes) 1545212116.284 * * [misc]simplify: iters left: 2 (38 enodes) 1545212116.291 * * [misc]simplify: iters left: 1 (43 enodes) 1545212116.297 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1545212116.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1545212116.297 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1545212116.297 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212116.297 * * [misc]simplify: iters left: 6 (11 enodes) 1545212116.299 * * [misc]simplify: iters left: 5 (16 enodes) 1545212116.301 * * [misc]simplify: iters left: 4 (19 enodes) 1545212116.304 * * [misc]simplify: iters left: 3 (21 enodes) 1545212116.306 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1545212116.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1545212116.306 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1545212116.306 * * [misc]simplify: iters left: 6 (10 enodes) 1545212116.308 * * [misc]simplify: iters left: 5 (13 enodes) 1545212116.310 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1545212116.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1545212116.310 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1545212116.310 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.310 * * [misc]simplify: iters left: 6 (17 enodes) 1545212116.313 * * [misc]simplify: iters left: 5 (26 enodes) 1545212116.318 * * [misc]simplify: iters left: 4 (38 enodes) 1545212116.327 * * [misc]simplify: iters left: 3 (41 enodes) 1545212116.339 * * [misc]simplify: iters left: 2 (44 enodes) 1545212116.345 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212116.345 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.346 * * [misc]simplify: iters left: 6 (15 enodes) 1545212116.348 * * [misc]simplify: iters left: 5 (18 enodes) 1545212116.350 * * [misc]simplify: iters left: 4 (21 enodes) 1545212116.353 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212116.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212116.353 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1545212116.354 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.354 * * [misc]simplify: iters left: 6 (16 enodes) 1545212116.356 * * [misc]simplify: iters left: 5 (21 enodes) 1545212116.359 * * [misc]simplify: iters left: 4 (26 enodes) 1545212116.362 * * [misc]simplify: iters left: 3 (27 enodes) 1545212116.366 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212116.367 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212116.367 * * [misc]simplify: iters left: 6 (15 enodes) 1545212116.369 * * [misc]simplify: iters left: 5 (18 enodes) 1545212116.371 * * [misc]simplify: iters left: 4 (21 enodes) 1545212116.374 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212116.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212116.375 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1545212116.375 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212116.375 * * [misc]simplify: iters left: 6 (17 enodes) 1545212116.380 * * [misc]simplify: iters left: 5 (27 enodes) 1545212116.388 * * [misc]simplify: iters left: 4 (45 enodes) 1545212116.403 * * [misc]simplify: iters left: 3 (86 enodes) 1545212116.435 * * [misc]simplify: iters left: 2 (137 enodes) 1545212116.469 * * [misc]simplify: iters left: 1 (166 enodes) 1545212116.501 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212116.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212116.501 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212116.501 * * [misc]simplify: iters left: 6 (16 enodes) 1545212116.504 * * [misc]simplify: iters left: 5 (22 enodes) 1545212116.507 * * [misc]simplify: iters left: 4 (26 enodes) 1545212116.511 * * [misc]simplify: iters left: 3 (28 enodes) 1545212116.514 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212116.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212116.515 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1545212116.515 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212116.515 * * [misc]simplify: iters left: 6 (17 enodes) 1545212116.518 * * [misc]simplify: iters left: 5 (27 enodes) 1545212116.522 * * [misc]simplify: iters left: 4 (45 enodes) 1545212116.531 * * [misc]simplify: iters left: 3 (86 enodes) 1545212116.559 * * [misc]simplify: iters left: 2 (137 enodes) 1545212116.588 * * [misc]simplify: iters left: 1 (166 enodes) 1545212116.636 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212116.636 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212116.637 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212116.637 * * [misc]simplify: iters left: 6 (16 enodes) 1545212116.642 * * [misc]simplify: iters left: 5 (22 enodes) 1545212116.648 * * [misc]simplify: iters left: 4 (26 enodes) 1545212116.655 * * [misc]simplify: iters left: 3 (28 enodes) 1545212116.662 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212116.662 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212116.662 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1545212116.663 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212116.663 * * [misc]simplify: iters left: 6 (16 enodes) 1545212116.668 * * [misc]simplify: iters left: 5 (24 enodes) 1545212116.676 * * [misc]simplify: iters left: 4 (42 enodes) 1545212116.685 * * [misc]simplify: iters left: 3 (83 enodes) 1545212116.700 * * [misc]simplify: iters left: 2 (134 enodes) 1545212116.741 * * [misc]simplify: iters left: 1 (163 enodes) 1545212116.774 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212116.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212116.774 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212116.774 * * [misc]simplify: iters left: 6 (13 enodes) 1545212116.776 * * [misc]simplify: iters left: 5 (17 enodes) 1545212116.779 * * [misc]simplify: iters left: 4 (23 enodes) 1545212116.782 * * [misc]simplify: iters left: 3 (25 enodes) 1545212116.786 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212116.786 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212116.786 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1545212116.786 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212116.786 * * [misc]simplify: iters left: 6 (19 enodes) 1545212116.789 * * [misc]simplify: iters left: 5 (32 enodes) 1545212116.795 * * [misc]simplify: iters left: 4 (66 enodes) 1545212116.807 * * [misc]simplify: iters left: 3 (135 enodes) 1545212116.863 * * [misc]simplify: iters left: 2 (266 enodes) 1545212116.978 * * [misc]simplify: iters left: 1 (376 enodes) 1545212117.177 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545212117.177 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212117.178 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.178 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.183 * * [misc]simplify: iters left: 5 (21 enodes) 1545212117.189 * * [misc]simplify: iters left: 4 (27 enodes) 1545212117.196 * * [misc]simplify: iters left: 3 (29 enodes) 1545212117.204 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212117.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212117.204 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1545212117.204 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.204 * * [misc]simplify: iters left: 6 (18 enodes) 1545212117.207 * * [misc]simplify: iters left: 5 (27 enodes) 1545212117.211 * * [misc]simplify: iters left: 4 (45 enodes) 1545212117.219 * * [misc]simplify: iters left: 3 (86 enodes) 1545212117.235 * * [misc]simplify: iters left: 2 (137 enodes) 1545212117.287 * * [misc]simplify: iters left: 1 (166 enodes) 1545212117.329 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212117.329 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.330 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.332 * * [misc]simplify: iters left: 5 (21 enodes) 1545212117.335 * * [misc]simplify: iters left: 4 (27 enodes) 1545212117.339 * * [misc]simplify: iters left: 3 (29 enodes) 1545212117.342 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212117.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212117.343 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1545212117.343 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212117.343 * * [misc]simplify: iters left: 6 (15 enodes) 1545212117.345 * * [misc]simplify: iters left: 5 (25 enodes) 1545212117.351 * * [misc]simplify: iters left: 4 (46 enodes) 1545212117.360 * * [misc]simplify: iters left: 3 (70 enodes) 1545212117.376 * * [misc]simplify: iters left: 2 (144 enodes) 1545212117.433 * * [misc]simplify: iters left: 1 (214 enodes) 1545212117.490 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212117.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212117.491 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212117.491 * * [misc]simplify: iters left: 6 (15 enodes) 1545212117.493 * * [misc]simplify: iters left: 5 (20 enodes) 1545212117.496 * * [misc]simplify: iters left: 4 (26 enodes) 1545212117.500 * * [misc]simplify: iters left: 3 (28 enodes) 1545212117.504 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212117.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212117.504 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1545212117.504 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212117.504 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.507 * * [misc]simplify: iters left: 5 (24 enodes) 1545212117.510 * * [misc]simplify: iters left: 4 (34 enodes) 1545212117.515 * * [misc]simplify: iters left: 3 (46 enodes) 1545212117.521 * * [misc]simplify: iters left: 2 (58 enodes) 1545212117.529 * * [misc]simplify: iters left: 1 (64 enodes) 1545212117.539 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545212117.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212117.539 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212117.539 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.543 * * [misc]simplify: iters left: 5 (22 enodes) 1545212117.546 * * [misc]simplify: iters left: 4 (26 enodes) 1545212117.550 * * [misc]simplify: iters left: 3 (28 enodes) 1545212117.553 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212117.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212117.553 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1545212117.554 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212117.554 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.556 * * [misc]simplify: iters left: 5 (24 enodes) 1545212117.560 * * [misc]simplify: iters left: 4 (34 enodes) 1545212117.569 * * [misc]simplify: iters left: 3 (46 enodes) 1545212117.582 * * [misc]simplify: iters left: 2 (58 enodes) 1545212117.598 * * [misc]simplify: iters left: 1 (64 enodes) 1545212117.616 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1545212117.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212117.617 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212117.617 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.622 * * [misc]simplify: iters left: 5 (22 enodes) 1545212117.628 * * [misc]simplify: iters left: 4 (26 enodes) 1545212117.635 * * [misc]simplify: iters left: 3 (28 enodes) 1545212117.643 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212117.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212117.643 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1545212117.643 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212117.643 * * [misc]simplify: iters left: 6 (15 enodes) 1545212117.648 * * [misc]simplify: iters left: 5 (21 enodes) 1545212117.654 * * [misc]simplify: iters left: 4 (31 enodes) 1545212117.664 * * [misc]simplify: iters left: 3 (43 enodes) 1545212117.675 * * [misc]simplify: iters left: 2 (55 enodes) 1545212117.689 * * [misc]simplify: iters left: 1 (61 enodes) 1545212117.705 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212117.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212117.705 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212117.705 * * [misc]simplify: iters left: 6 (13 enodes) 1545212117.709 * * [misc]simplify: iters left: 5 (17 enodes) 1545212117.714 * * [misc]simplify: iters left: 4 (23 enodes) 1545212117.719 * * [misc]simplify: iters left: 3 (25 enodes) 1545212117.725 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212117.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212117.725 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1545212117.725 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212117.726 * * [misc]simplify: iters left: 6 (18 enodes) 1545212117.731 * * [misc]simplify: iters left: 5 (27 enodes) 1545212117.738 * * [misc]simplify: iters left: 4 (41 enodes) 1545212117.749 * * [misc]simplify: iters left: 3 (67 enodes) 1545212117.771 * * [misc]simplify: iters left: 2 (106 enodes) 1545212117.809 * * [misc]simplify: iters left: 1 (137 enodes) 1545212117.839 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545212117.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212117.839 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.840 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.842 * * [misc]simplify: iters left: 5 (21 enodes) 1545212117.845 * * [misc]simplify: iters left: 4 (27 enodes) 1545212117.850 * * [misc]simplify: iters left: 3 (29 enodes) 1545212117.858 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212117.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212117.858 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1545212117.858 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.859 * * [misc]simplify: iters left: 6 (17 enodes) 1545212117.863 * * [misc]simplify: iters left: 5 (24 enodes) 1545212117.869 * * [misc]simplify: iters left: 4 (34 enodes) 1545212117.875 * * [misc]simplify: iters left: 3 (46 enodes) 1545212117.882 * * [misc]simplify: iters left: 2 (58 enodes) 1545212117.890 * * [misc]simplify: iters left: 1 (64 enodes) 1545212117.900 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212117.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212117.900 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212117.900 * * [misc]simplify: iters left: 6 (16 enodes) 1545212117.905 * * [misc]simplify: iters left: 5 (21 enodes) 1545212117.910 * * [misc]simplify: iters left: 4 (27 enodes) 1545212117.917 * * [misc]simplify: iters left: 3 (29 enodes) 1545212117.925 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212117.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212117.925 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1545212117.925 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1545212117.925 * * [misc]simplify: iters left: 6 (14 enodes) 1545212117.930 * * [misc]simplify: iters left: 5 (22 enodes) 1545212117.936 * * [misc]simplify: iters left: 4 (33 enodes) 1545212117.944 * * [misc]simplify: iters left: 3 (44 enodes) 1545212117.953 * * [misc]simplify: iters left: 2 (45 enodes) 1545212117.960 * * [misc]simplify: iters left: 1 (51 enodes) 1545212117.971 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212117.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212117.971 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212117.971 * * [misc]simplify: iters left: 6 (15 enodes) 1545212117.975 * * [misc]simplify: iters left: 5 (20 enodes) 1545212117.981 * * [misc]simplify: iters left: 4 (26 enodes) 1545212117.987 * * [misc]simplify: iters left: 3 (28 enodes) 1545212117.992 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212117.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212117.993 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1545212117.993 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1545212117.993 * * [misc]simplify: iters left: 6 (15 enodes) 1545212117.995 * * [misc]simplify: iters left: 5 (25 enodes) 1545212117.999 * * [misc]simplify: iters left: 4 (35 enodes) 1545212118.005 * * [misc]simplify: iters left: 3 (50 enodes) 1545212118.014 * * [misc]simplify: iters left: 2 (98 enodes) 1545212118.063 * * [misc]simplify: iters left: 1 (235 enodes) 1545212118.153 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1545212118.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212118.154 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212118.154 * * [misc]simplify: iters left: 6 (15 enodes) 1545212118.158 * * [misc]simplify: iters left: 5 (21 enodes) 1545212118.164 * * [misc]simplify: iters left: 4 (25 enodes) 1545212118.171 * * [misc]simplify: iters left: 3 (27 enodes) 1545212118.178 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212118.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212118.178 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1545212118.178 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1545212118.179 * * [misc]simplify: iters left: 6 (15 enodes) 1545212118.183 * * [misc]simplify: iters left: 5 (25 enodes) 1545212118.190 * * [misc]simplify: iters left: 4 (35 enodes) 1545212118.200 * * [misc]simplify: iters left: 3 (50 enodes) 1545212118.217 * * [misc]simplify: iters left: 2 (98 enodes) 1545212118.242 * * [misc]simplify: iters left: 1 (235 enodes) 1545212118.351 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1545212118.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212118.352 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212118.352 * * [misc]simplify: iters left: 6 (15 enodes) 1545212118.357 * * [misc]simplify: iters left: 5 (21 enodes) 1545212118.363 * * [misc]simplify: iters left: 4 (25 enodes) 1545212118.370 * * [misc]simplify: iters left: 3 (27 enodes) 1545212118.377 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212118.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212118.377 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1545212118.378 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212118.378 * * [misc]simplify: iters left: 6 (14 enodes) 1545212118.384 * * [misc]simplify: iters left: 5 (22 enodes) 1545212118.390 * * [misc]simplify: iters left: 4 (32 enodes) 1545212118.400 * * [misc]simplify: iters left: 3 (47 enodes) 1545212118.415 * * [misc]simplify: iters left: 2 (95 enodes) 1545212118.459 * * [misc]simplify: iters left: 1 (215 enodes) 1545212118.570 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212118.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212118.571 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212118.571 * * [misc]simplify: iters left: 6 (12 enodes) 1545212118.574 * * [misc]simplify: iters left: 5 (16 enodes) 1545212118.577 * * [misc]simplify: iters left: 4 (22 enodes) 1545212118.580 * * [misc]simplify: iters left: 3 (24 enodes) 1545212118.584 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212118.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212118.584 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1545212118.584 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212118.584 * * [misc]simplify: iters left: 6 (17 enodes) 1545212118.587 * * [misc]simplify: iters left: 5 (28 enodes) 1545212118.591 * * [misc]simplify: iters left: 4 (42 enodes) 1545212118.598 * * [misc]simplify: iters left: 3 (69 enodes) 1545212118.616 * * [misc]simplify: iters left: 2 (137 enodes) 1545212118.707 * * [misc]simplify: iters left: 1 (398 enodes) 1545212119.023 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.023 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.023 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.027 * * [misc]simplify: iters left: 5 (20 enodes) 1545212119.033 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.040 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.049 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212119.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212119.049 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1545212119.049 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.049 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.054 * * [misc]simplify: iters left: 5 (25 enodes) 1545212119.062 * * [misc]simplify: iters left: 4 (35 enodes) 1545212119.075 * * [misc]simplify: iters left: 3 (50 enodes) 1545212119.090 * * [misc]simplify: iters left: 2 (73 enodes) 1545212119.117 * * [misc]simplify: iters left: 1 (148 enodes) 1545212119.168 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212119.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.169 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.169 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.174 * * [misc]simplify: iters left: 5 (20 enodes) 1545212119.179 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.186 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.194 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212119.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212119.194 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1545212119.194 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1545212119.194 * * [misc]simplify: iters left: 6 (12 enodes) 1545212119.200 * * [misc]simplify: iters left: 5 (18 enodes) 1545212119.202 * * [misc]simplify: iters left: 4 (21 enodes) 1545212119.205 * * [misc]simplify: iters left: 3 (29 enodes) 1545212119.209 * * [misc]simplify: iters left: 2 (31 enodes) 1545212119.212 * * [misc]simplify: iters left: 1 (38 enodes) 1545212119.217 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212119.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.218 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212119.218 * * [misc]simplify: iters left: 6 (14 enodes) 1545212119.220 * * [misc]simplify: iters left: 5 (19 enodes) 1545212119.223 * * [misc]simplify: iters left: 4 (25 enodes) 1545212119.226 * * [misc]simplify: iters left: 3 (27 enodes) 1545212119.232 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212119.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212119.232 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1545212119.232 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1545212119.232 * * [misc]simplify: iters left: 6 (11 enodes) 1545212119.236 * * [misc]simplify: iters left: 5 (17 enodes) 1545212119.242 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.248 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.255 * * [misc]simplify: iters left: 2 (33 enodes) 1545212119.263 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212119.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.264 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212119.264 * * [misc]simplify: iters left: 6 (14 enodes) 1545212119.268 * * [misc]simplify: iters left: 5 (19 enodes) 1545212119.274 * * [misc]simplify: iters left: 4 (25 enodes) 1545212119.281 * * [misc]simplify: iters left: 3 (27 enodes) 1545212119.288 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212119.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212119.288 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1545212119.288 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1545212119.288 * * [misc]simplify: iters left: 6 (11 enodes) 1545212119.291 * * [misc]simplify: iters left: 5 (15 enodes) 1545212119.295 * * [misc]simplify: iters left: 4 (20 enodes) 1545212119.300 * * [misc]simplify: iters left: 3 (21 enodes) 1545212119.306 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212119.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.307 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212119.307 * * [misc]simplify: iters left: 6 (14 enodes) 1545212119.311 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.317 * * [misc]simplify: iters left: 4 (27 enodes) 1545212119.325 * * [misc]simplify: iters left: 3 (37 enodes) 1545212119.330 * * [misc]simplify: iters left: 2 (39 enodes) 1545212119.334 * * [misc]simplify: iters left: 1 (44 enodes) 1545212119.340 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212119.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545212119.340 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1545212119.340 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212119.340 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.342 * * [misc]simplify: iters left: 5 (23 enodes) 1545212119.346 * * [misc]simplify: iters left: 4 (33 enodes) 1545212119.350 * * [misc]simplify: iters left: 3 (45 enodes) 1545212119.356 * * [misc]simplify: iters left: 2 (57 enodes) 1545212119.364 * * [misc]simplify: iters left: 1 (63 enodes) 1545212119.373 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545212119.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212119.374 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212119.374 * * [misc]simplify: iters left: 6 (12 enodes) 1545212119.375 * * [misc]simplify: iters left: 5 (15 enodes) 1545212119.378 * * [misc]simplify: iters left: 4 (18 enodes) 1545212119.380 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212119.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212119.381 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1545212119.381 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.381 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.383 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.389 * * [misc]simplify: iters left: 4 (24 enodes) 1545212119.396 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212119.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.397 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.397 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.401 * * [misc]simplify: iters left: 5 (18 enodes) 1545212119.406 * * [misc]simplify: iters left: 4 (21 enodes) 1545212119.412 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212119.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212119.412 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1545212119.412 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.412 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.415 * * [misc]simplify: iters left: 5 (18 enodes) 1545212119.418 * * [misc]simplify: iters left: 4 (21 enodes) 1545212119.421 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212119.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.421 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.421 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.424 * * [misc]simplify: iters left: 5 (18 enodes) 1545212119.426 * * [misc]simplify: iters left: 4 (21 enodes) 1545212119.429 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212119.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545212119.429 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1545212119.430 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212119.430 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.432 * * [misc]simplify: iters left: 5 (24 enodes) 1545212119.436 * * [misc]simplify: iters left: 4 (34 enodes) 1545212119.441 * * [misc]simplify: iters left: 3 (46 enodes) 1545212119.449 * * [misc]simplify: iters left: 2 (51 enodes) 1545212119.461 * * [misc]simplify: iters left: 1 (58 enodes) 1545212119.476 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1545212119.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.476 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.476 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.481 * * [misc]simplify: iters left: 5 (22 enodes) 1545212119.487 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.494 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.501 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.501 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1545212119.502 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212119.502 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.507 * * [misc]simplify: iters left: 5 (24 enodes) 1545212119.514 * * [misc]simplify: iters left: 4 (34 enodes) 1545212119.524 * * [misc]simplify: iters left: 3 (46 enodes) 1545212119.536 * * [misc]simplify: iters left: 2 (51 enodes) 1545212119.550 * * [misc]simplify: iters left: 1 (58 enodes) 1545212119.564 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1545212119.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.565 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.565 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.570 * * [misc]simplify: iters left: 5 (22 enodes) 1545212119.573 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.577 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.580 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.581 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1545212119.581 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212119.581 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.583 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.586 * * [misc]simplify: iters left: 4 (31 enodes) 1545212119.591 * * [misc]simplify: iters left: 3 (43 enodes) 1545212119.597 * * [misc]simplify: iters left: 2 (48 enodes) 1545212119.603 * * [misc]simplify: iters left: 1 (55 enodes) 1545212119.617 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212119.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212119.618 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212119.618 * * [misc]simplify: iters left: 6 (13 enodes) 1545212119.622 * * [misc]simplify: iters left: 5 (17 enodes) 1545212119.627 * * [misc]simplify: iters left: 4 (23 enodes) 1545212119.633 * * [misc]simplify: iters left: 3 (25 enodes) 1545212119.640 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212119.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212119.640 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1545212119.640 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.640 * * [misc]simplify: iters left: 6 (18 enodes) 1545212119.646 * * [misc]simplify: iters left: 5 (29 enodes) 1545212119.653 * * [misc]simplify: iters left: 4 (50 enodes) 1545212119.662 * * [misc]simplify: iters left: 3 (73 enodes) 1545212119.673 * * [misc]simplify: iters left: 2 (103 enodes) 1545212119.689 * * [misc]simplify: iters left: 1 (127 enodes) 1545212119.724 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1545212119.725 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.725 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.725 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.727 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.730 * * [misc]simplify: iters left: 4 (27 enodes) 1545212119.734 * * [misc]simplify: iters left: 3 (29 enodes) 1545212119.738 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212119.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212119.738 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1545212119.738 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.738 * * [misc]simplify: iters left: 6 (17 enodes) 1545212119.742 * * [misc]simplify: iters left: 5 (24 enodes) 1545212119.745 * * [misc]simplify: iters left: 4 (34 enodes) 1545212119.750 * * [misc]simplify: iters left: 3 (46 enodes) 1545212119.758 * * [misc]simplify: iters left: 2 (51 enodes) 1545212119.770 * * [misc]simplify: iters left: 1 (58 enodes) 1545212119.786 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212119.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212119.786 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212119.786 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.791 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.794 * * [misc]simplify: iters left: 4 (27 enodes) 1545212119.798 * * [misc]simplify: iters left: 3 (29 enodes) 1545212119.802 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1545212119.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1545212119.802 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1545212119.802 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212119.802 * * [misc]simplify: iters left: 6 (14 enodes) 1545212119.804 * * [misc]simplify: iters left: 5 (22 enodes) 1545212119.808 * * [misc]simplify: iters left: 4 (36 enodes) 1545212119.813 * * [misc]simplify: iters left: 3 (57 enodes) 1545212119.828 * * [misc]simplify: iters left: 2 (119 enodes) 1545212119.871 * * [misc]simplify: iters left: 1 (178 enodes) 1545212119.890 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212119.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.890 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212119.890 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.895 * * [misc]simplify: iters left: 5 (20 enodes) 1545212119.901 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.909 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.917 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212119.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212119.917 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1545212119.918 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212119.918 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.923 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.929 * * [misc]simplify: iters left: 4 (27 enodes) 1545212119.937 * * [misc]simplify: iters left: 3 (29 enodes) 1545212119.945 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1545212119.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.945 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.945 * * [misc]simplify: iters left: 6 (16 enodes) 1545212119.950 * * [misc]simplify: iters left: 5 (22 enodes) 1545212119.957 * * [misc]simplify: iters left: 4 (26 enodes) 1545212119.964 * * [misc]simplify: iters left: 3 (28 enodes) 1545212119.971 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.971 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1545212119.972 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212119.972 * * [misc]simplify: iters left: 6 (15 enodes) 1545212119.977 * * [misc]simplify: iters left: 5 (21 enodes) 1545212119.983 * * [misc]simplify: iters left: 4 (27 enodes) 1545212119.991 * * [misc]simplify: iters left: 3 (29 enodes) 1545212119.998 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1545212119.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212119.999 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212119.999 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.004 * * [misc]simplify: iters left: 5 (22 enodes) 1545212120.010 * * [misc]simplify: iters left: 4 (26 enodes) 1545212120.017 * * [misc]simplify: iters left: 3 (28 enodes) 1545212120.025 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212120.025 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212120.026 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1545212120.026 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212120.026 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.030 * * [misc]simplify: iters left: 5 (18 enodes) 1545212120.036 * * [misc]simplify: iters left: 4 (24 enodes) 1545212120.042 * * [misc]simplify: iters left: 3 (26 enodes) 1545212120.049 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212120.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212120.049 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212120.050 * * [misc]simplify: iters left: 6 (13 enodes) 1545212120.053 * * [misc]simplify: iters left: 5 (17 enodes) 1545212120.058 * * [misc]simplify: iters left: 4 (23 enodes) 1545212120.065 * * [misc]simplify: iters left: 3 (25 enodes) 1545212120.072 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212120.072 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212120.072 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1545212120.073 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.073 * * [misc]simplify: iters left: 6 (17 enodes) 1545212120.078 * * [misc]simplify: iters left: 5 (24 enodes) 1545212120.086 * * [misc]simplify: iters left: 4 (32 enodes) 1545212120.096 * * [misc]simplify: iters left: 3 (41 enodes) 1545212120.108 * * [misc]simplify: iters left: 2 (49 enodes) 1545212120.120 * * [misc]simplify: iters left: 1 (51 enodes) 1545212120.136 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.137 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.137 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.142 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.149 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.156 * * [misc]simplify: iters left: 3 (29 enodes) 1545212120.164 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212120.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212120.164 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1545212120.165 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.165 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.170 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.176 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.179 * * [misc]simplify: iters left: 3 (29 enodes) 1545212120.183 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212120.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.184 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.184 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.186 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.189 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.192 * * [misc]simplify: iters left: 3 (29 enodes) 1545212120.196 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545212120.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1545212120.196 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1545212120.197 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1545212120.197 * * [misc]simplify: iters left: 6 (13 enodes) 1545212120.199 * * [misc]simplify: iters left: 5 (19 enodes) 1545212120.202 * * [misc]simplify: iters left: 4 (29 enodes) 1545212120.205 * * [misc]simplify: iters left: 3 (33 enodes) 1545212120.211 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212120.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.211 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212120.211 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.216 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.221 * * [misc]simplify: iters left: 4 (26 enodes) 1545212120.228 * * [misc]simplify: iters left: 3 (28 enodes) 1545212120.235 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212120.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.235 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1545212120.236 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1545212120.236 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.240 * * [misc]simplify: iters left: 5 (22 enodes) 1545212120.247 * * [misc]simplify: iters left: 4 (28 enodes) 1545212120.255 * * [misc]simplify: iters left: 3 (38 enodes) 1545212120.263 * * [misc]simplify: iters left: 2 (40 enodes) 1545212120.267 * * [misc]simplify: iters left: 1 (45 enodes) 1545212120.273 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212120.273 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212120.273 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212120.273 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.276 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.279 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.282 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.286 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212120.286 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212120.286 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1545212120.286 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1545212120.286 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.288 * * [misc]simplify: iters left: 5 (22 enodes) 1545212120.291 * * [misc]simplify: iters left: 4 (28 enodes) 1545212120.297 * * [misc]simplify: iters left: 3 (38 enodes) 1545212120.306 * * [misc]simplify: iters left: 2 (40 enodes) 1545212120.315 * * [misc]simplify: iters left: 1 (45 enodes) 1545212120.324 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212120.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212120.324 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212120.325 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.327 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.330 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.333 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.337 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1545212120.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1545212120.337 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1545212120.337 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212120.337 * * [misc]simplify: iters left: 6 (13 enodes) 1545212120.339 * * [misc]simplify: iters left: 5 (19 enodes) 1545212120.342 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.346 * * [misc]simplify: iters left: 3 (35 enodes) 1545212120.351 * * [misc]simplify: iters left: 2 (37 enodes) 1545212120.355 * * [misc]simplify: iters left: 1 (42 enodes) 1545212120.366 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212120.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212120.366 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212120.366 * * [misc]simplify: iters left: 6 (12 enodes) 1545212120.368 * * [misc]simplify: iters left: 5 (16 enodes) 1545212120.371 * * [misc]simplify: iters left: 4 (22 enodes) 1545212120.374 * * [misc]simplify: iters left: 3 (24 enodes) 1545212120.377 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212120.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212120.377 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1545212120.377 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.377 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.380 * * [misc]simplify: iters left: 5 (25 enodes) 1545212120.383 * * [misc]simplify: iters left: 4 (33 enodes) 1545212120.389 * * [misc]simplify: iters left: 3 (47 enodes) 1545212120.395 * * [misc]simplify: iters left: 2 (56 enodes) 1545212120.406 * * [misc]simplify: iters left: 1 (66 enodes) 1545212120.426 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212120.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.427 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.427 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.431 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.437 * * [misc]simplify: iters left: 4 (26 enodes) 1545212120.444 * * [misc]simplify: iters left: 3 (28 enodes) 1545212120.452 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212120.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212120.452 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1545212120.452 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.452 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.456 * * [misc]simplify: iters left: 5 (22 enodes) 1545212120.462 * * [misc]simplify: iters left: 4 (28 enodes) 1545212120.470 * * [misc]simplify: iters left: 3 (38 enodes) 1545212120.479 * * [misc]simplify: iters left: 2 (40 enodes) 1545212120.487 * * [misc]simplify: iters left: 1 (45 enodes) 1545212120.497 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212120.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.498 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.498 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.501 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.504 * * [misc]simplify: iters left: 4 (26 enodes) 1545212120.508 * * [misc]simplify: iters left: 3 (28 enodes) 1545212120.511 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212120.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212120.511 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1545212120.512 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1545212120.512 * * [misc]simplify: iters left: 6 (11 enodes) 1545212120.513 * * [misc]simplify: iters left: 5 (15 enodes) 1545212120.516 * * [misc]simplify: iters left: 4 (18 enodes) 1545212120.519 * * [misc]simplify: iters left: 3 (20 enodes) 1545212120.521 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212120.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.521 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212120.521 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.524 * * [misc]simplify: iters left: 5 (19 enodes) 1545212120.526 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.530 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.533 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212120.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212120.533 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1545212120.534 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1545212120.534 * * [misc]simplify: iters left: 6 (10 enodes) 1545212120.535 * * [misc]simplify: iters left: 5 (14 enodes) 1545212120.538 * * [misc]simplify: iters left: 4 (19 enodes) 1545212120.540 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212120.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.540 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212120.540 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.542 * * [misc]simplify: iters left: 5 (19 enodes) 1545212120.545 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.548 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.553 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212120.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212120.553 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1545212120.554 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212120.554 * * [misc]simplify: iters left: 6 (10 enodes) 1545212120.556 * * [misc]simplify: iters left: 5 (12 enodes) 1545212120.560 * * [misc]simplify: iters left: 4 (15 enodes) 1545212120.563 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212120.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.564 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212120.564 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.568 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.573 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.581 * * [misc]simplify: iters left: 3 (37 enodes) 1545212120.589 * * [misc]simplify: iters left: 2 (39 enodes) 1545212120.596 * * [misc]simplify: iters left: 1 (44 enodes) 1545212120.605 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1545212120.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545212120.605 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1545212120.605 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1545212120.605 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.609 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.614 * * [misc]simplify: iters left: 4 (26 enodes) 1545212120.620 * * [misc]simplify: iters left: 3 (28 enodes) 1545212120.625 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1545212120.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212120.625 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212120.625 * * [misc]simplify: iters left: 6 (12 enodes) 1545212120.627 * * [misc]simplify: iters left: 5 (15 enodes) 1545212120.629 * * [misc]simplify: iters left: 4 (18 enodes) 1545212120.632 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1545212120.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1545212120.632 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1545212120.632 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.632 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.634 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.637 * * [misc]simplify: iters left: 4 (24 enodes) 1545212120.640 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.641 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.641 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.643 * * [misc]simplify: iters left: 5 (17 enodes) 1545212120.645 * * [misc]simplify: iters left: 4 (20 enodes) 1545212120.648 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.648 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1545212120.648 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.649 * * [misc]simplify: iters left: 6 (13 enodes) 1545212120.650 * * [misc]simplify: iters left: 5 (18 enodes) 1545212120.655 * * [misc]simplify: iters left: 4 (21 enodes) 1545212120.661 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.661 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.661 * * [misc]simplify: iters left: 6 (14 enodes) 1545212120.666 * * [misc]simplify: iters left: 5 (17 enodes) 1545212120.671 * * [misc]simplify: iters left: 4 (20 enodes) 1545212120.676 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212120.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212120.677 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1545212120.677 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212120.677 * * [misc]simplify: iters left: 6 (12 enodes) 1545212120.680 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.685 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.691 * * [misc]simplify: iters left: 3 (37 enodes) 1545212120.704 * * [misc]simplify: iters left: 2 (64 enodes) 1545212120.720 * * [misc]simplify: iters left: 1 (93 enodes) 1545212120.736 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212120.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212120.737 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212120.737 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.739 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.745 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.751 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.759 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212120.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212120.759 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1545212120.759 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1545212120.759 * * [misc]simplify: iters left: 6 (12 enodes) 1545212120.763 * * [misc]simplify: iters left: 5 (20 enodes) 1545212120.769 * * [misc]simplify: iters left: 4 (27 enodes) 1545212120.777 * * [misc]simplify: iters left: 3 (37 enodes) 1545212120.787 * * [misc]simplify: iters left: 2 (64 enodes) 1545212120.797 * * [misc]simplify: iters left: 1 (93 enodes) 1545212120.815 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212120.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212120.815 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212120.815 * * [misc]simplify: iters left: 6 (15 enodes) 1545212120.817 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.820 * * [misc]simplify: iters left: 4 (25 enodes) 1545212120.824 * * [misc]simplify: iters left: 3 (27 enodes) 1545212120.827 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212120.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212120.827 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1545212120.828 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1545212120.828 * * [misc]simplify: iters left: 6 (13 enodes) 1545212120.830 * * [misc]simplify: iters left: 5 (21 enodes) 1545212120.833 * * [misc]simplify: iters left: 4 (31 enodes) 1545212120.837 * * [misc]simplify: iters left: 3 (51 enodes) 1545212120.846 * * [misc]simplify: iters left: 2 (90 enodes) 1545212120.861 * * [misc]simplify: iters left: 1 (181 enodes) 1545212120.913 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212120.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212120.913 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212120.913 * * [misc]simplify: iters left: 6 (12 enodes) 1545212120.917 * * [misc]simplify: iters left: 5 (16 enodes) 1545212120.922 * * [misc]simplify: iters left: 4 (22 enodes) 1545212120.928 * * [misc]simplify: iters left: 3 (24 enodes) 1545212120.935 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1545212120.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545212120.935 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1545212120.935 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212120.935 * * [misc]simplify: iters left: 6 (16 enodes) 1545212120.940 * * [misc]simplify: iters left: 5 (29 enodes) 1545212120.949 * * [misc]simplify: iters left: 4 (50 enodes) 1545212120.963 * * [misc]simplify: iters left: 3 (70 enodes) 1545212120.991 * * [misc]simplify: iters left: 2 (169 enodes) 1545212121.066 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545212121.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.067 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.067 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.071 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.077 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.086 * * [misc]simplify: iters left: 3 (28 enodes) 1545212121.093 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212121.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212121.094 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1545212121.094 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.094 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.102 * * [misc]simplify: iters left: 5 (24 enodes) 1545212121.108 * * [misc]simplify: iters left: 4 (34 enodes) 1545212121.119 * * [misc]simplify: iters left: 3 (54 enodes) 1545212121.138 * * [misc]simplify: iters left: 2 (93 enodes) 1545212121.168 * * [misc]simplify: iters left: 1 (182 enodes) 1545212121.258 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545212121.259 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.259 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.259 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.261 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.264 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.268 * * [misc]simplify: iters left: 3 (28 enodes) 1545212121.271 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212121.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212121.272 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1545212121.272 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1545212121.272 * * [misc]simplify: iters left: 6 (7 enodes) 1545212121.273 * * [misc]simplify: iters left: 5 (13 enodes) 1545212121.276 * * [misc]simplify: iters left: 4 (22 enodes) 1545212121.279 * * [misc]simplify: iters left: 3 (24 enodes) 1545212121.281 * * [misc]simplify: iters left: 2 (29 enodes) 1545212121.285 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1545212121.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.285 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.285 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.287 * * [misc]simplify: iters left: 5 (19 enodes) 1545212121.290 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.294 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.298 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212121.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212121.298 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1545212121.298 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212121.298 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.301 * * [misc]simplify: iters left: 5 (17 enodes) 1545212121.306 * * [misc]simplify: iters left: 4 (20 enodes) 1545212121.312 * * [misc]simplify: iters left: 3 (22 enodes) 1545212121.319 * * [misc]simplify: iters left: 2 (34 enodes) 1545212121.328 * * [misc]simplify: iters left: 1 (42 enodes) 1545212121.338 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212121.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212121.338 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212121.338 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.343 * * [misc]simplify: iters left: 5 (21 enodes) 1545212121.349 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.358 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.365 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212121.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212121.365 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1545212121.366 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1545212121.366 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.369 * * [misc]simplify: iters left: 5 (17 enodes) 1545212121.373 * * [misc]simplify: iters left: 4 (20 enodes) 1545212121.379 * * [misc]simplify: iters left: 3 (22 enodes) 1545212121.386 * * [misc]simplify: iters left: 2 (34 enodes) 1545212121.395 * * [misc]simplify: iters left: 1 (42 enodes) 1545212121.405 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545212121.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212121.405 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1545212121.405 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.410 * * [misc]simplify: iters left: 5 (21 enodes) 1545212121.416 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.423 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.430 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1545212121.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1545212121.430 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1545212121.430 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1545212121.430 * * [misc]simplify: iters left: 6 (12 enodes) 1545212121.434 * * [misc]simplify: iters left: 5 (18 enodes) 1545212121.439 * * [misc]simplify: iters left: 4 (24 enodes) 1545212121.446 * * [misc]simplify: iters left: 3 (32 enodes) 1545212121.455 * * [misc]simplify: iters left: 2 (41 enodes) 1545212121.465 * * [misc]simplify: iters left: 1 (51 enodes) 1545212121.477 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545212121.477 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212121.477 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1545212121.477 * * [misc]simplify: iters left: 6 (12 enodes) 1545212121.481 * * [misc]simplify: iters left: 5 (16 enodes) 1545212121.486 * * [misc]simplify: iters left: 4 (22 enodes) 1545212121.492 * * [misc]simplify: iters left: 3 (24 enodes) 1545212121.500 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1545212121.500 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545212121.500 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1545212121.500 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.500 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.505 * * [misc]simplify: iters left: 5 (24 enodes) 1545212121.511 * * [misc]simplify: iters left: 4 (32 enodes) 1545212121.520 * * [misc]simplify: iters left: 3 (43 enodes) 1545212121.551 * * [misc]simplify: iters left: 2 (69 enodes) 1545212121.571 * * [misc]simplify: iters left: 1 (119 enodes) 1545212121.603 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.603 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.603 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.605 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.608 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.612 * * [misc]simplify: iters left: 3 (28 enodes) 1545212121.619 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212121.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212121.619 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1545212121.620 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.620 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.624 * * [misc]simplify: iters left: 5 (21 enodes) 1545212121.629 * * [misc]simplify: iters left: 4 (27 enodes) 1545212121.638 * * [misc]simplify: iters left: 3 (35 enodes) 1545212121.648 * * [misc]simplify: iters left: 2 (43 enodes) 1545212121.658 * * [misc]simplify: iters left: 1 (56 enodes) 1545212121.668 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545212121.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.669 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.669 * * [misc]simplify: iters left: 6 (15 enodes) 1545212121.671 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.674 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.678 * * [misc]simplify: iters left: 3 (28 enodes) 1545212121.681 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212121.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1545212121.682 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1545212121.682 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1545212121.682 * * [misc]simplify: iters left: 6 (6 enodes) 1545212121.683 * * [misc]simplify: iters left: 5 (10 enodes) 1545212121.685 * * [misc]simplify: iters left: 4 (16 enodes) 1545212121.687 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545212121.687 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.687 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.687 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.690 * * [misc]simplify: iters left: 5 (19 enodes) 1545212121.694 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.701 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.708 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212121.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212121.708 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1545212121.708 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212121.709 * * [misc]simplify: iters left: 6 (8 enodes) 1545212121.712 * * [misc]simplify: iters left: 5 (14 enodes) 1545212121.715 * * [misc]simplify: iters left: 4 (15 enodes) 1545212121.720 * * [misc]simplify: iters left: 3 (19 enodes) 1545212121.724 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212121.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212121.724 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212121.724 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.728 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.731 * * [misc]simplify: iters left: 4 (24 enodes) 1545212121.734 * * [misc]simplify: iters left: 3 (26 enodes) 1545212121.737 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212121.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212121.737 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1545212121.738 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1545212121.738 * * [misc]simplify: iters left: 6 (8 enodes) 1545212121.740 * * [misc]simplify: iters left: 5 (14 enodes) 1545212121.741 * * [misc]simplify: iters left: 4 (15 enodes) 1545212121.744 * * [misc]simplify: iters left: 3 (19 enodes) 1545212121.746 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1545212121.746 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212121.746 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1545212121.746 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.749 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.753 * * [misc]simplify: iters left: 4 (24 enodes) 1545212121.756 * * [misc]simplify: iters left: 3 (26 enodes) 1545212121.763 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212121.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212121.763 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1545212121.764 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1545212121.764 * * [misc]simplify: iters left: 6 (10 enodes) 1545212121.768 * * [misc]simplify: iters left: 5 (16 enodes) 1545212121.772 * * [misc]simplify: iters left: 4 (20 enodes) 1545212121.778 * * [misc]simplify: iters left: 3 (24 enodes) 1545212121.781 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545212121.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212121.782 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212121.782 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.783 * * [misc]simplify: iters left: 5 (15 enodes) 1545212121.786 * * [misc]simplify: iters left: 4 (21 enodes) 1545212121.788 * * [misc]simplify: iters left: 3 (23 enodes) 1545212121.791 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1545212121.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212121.791 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1545212121.792 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.792 * * [misc]simplify: iters left: 6 (13 enodes) 1545212121.794 * * [misc]simplify: iters left: 5 (22 enodes) 1545212121.797 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.801 * * [misc]simplify: iters left: 3 (32 enodes) 1545212121.805 * * [misc]simplify: iters left: 2 (34 enodes) 1545212121.811 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212121.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.811 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.811 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.816 * * [misc]simplify: iters left: 5 (19 enodes) 1545212121.821 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.828 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.833 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.833 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1545212121.833 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.833 * * [misc]simplify: iters left: 6 (12 enodes) 1545212121.836 * * [misc]simplify: iters left: 5 (19 enodes) 1545212121.838 * * [misc]simplify: iters left: 4 (23 enodes) 1545212121.842 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.845 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212121.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212121.845 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212121.845 * * [misc]simplify: iters left: 6 (14 enodes) 1545212121.847 * * [misc]simplify: iters left: 5 (19 enodes) 1545212121.850 * * [misc]simplify: iters left: 4 (25 enodes) 1545212121.854 * * [misc]simplify: iters left: 3 (27 enodes) 1545212121.858 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.858 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1545212121.858 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1545212121.858 * * [misc]simplify: iters left: 4 (3 enodes) 1545212121.859 * * [misc]simplify: iters left: 3 (5 enodes) 1545212121.860 * [exit]simplify: Simplified to 1 1545212121.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.860 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.860 * * [misc]simplify: iters left: 6 (13 enodes) 1545212121.865 * * [misc]simplify: iters left: 5 (18 enodes) 1545212121.870 * * [misc]simplify: iters left: 4 (24 enodes) 1545212121.877 * * [misc]simplify: iters left: 3 (26 enodes) 1545212121.884 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212121.884 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212121.884 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1545212121.885 * [enter]simplify: Simplifying (/ 1 1) 1545212121.885 * * [misc]simplify: iters left: 2 (2 enodes) 1545212121.886 * * [misc]simplify: iters left: 1 (4 enodes) 1545212121.886 * [exit]simplify: Simplified to 1 1545212121.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.887 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.887 * * [misc]simplify: iters left: 6 (13 enodes) 1545212121.891 * * [misc]simplify: iters left: 5 (18 enodes) 1545212121.896 * * [misc]simplify: iters left: 4 (24 enodes) 1545212121.902 * * [misc]simplify: iters left: 3 (26 enodes) 1545212121.909 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1545212121.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1545212121.909 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1545212121.910 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545212121.910 * * [misc]simplify: iters left: 3 (4 enodes) 1545212121.911 * * [misc]simplify: iters left: 2 (6 enodes) 1545212121.912 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545212121.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.913 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.913 * * [misc]simplify: iters left: 6 (13 enodes) 1545212121.917 * * [misc]simplify: iters left: 5 (20 enodes) 1545212121.923 * * [misc]simplify: iters left: 4 (26 enodes) 1545212121.927 * * [misc]simplify: iters left: 3 (36 enodes) 1545212121.932 * * [misc]simplify: iters left: 2 (38 enodes) 1545212121.936 * * [misc]simplify: iters left: 1 (43 enodes) 1545212121.941 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545212121.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545212121.941 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1545212121.941 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1545212121.941 * * [misc]simplify: iters left: 6 (10 enodes) 1545212121.943 * * [misc]simplify: iters left: 5 (16 enodes) 1545212121.945 * * [misc]simplify: iters left: 4 (19 enodes) 1545212121.947 * * [misc]simplify: iters left: 3 (21 enodes) 1545212121.951 * * [misc]simplify: iters left: 2 (33 enodes) 1545212121.959 * * [misc]simplify: iters left: 1 (41 enodes) 1545212121.964 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1545212121.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1545212121.964 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1545212121.964 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.966 * * [misc]simplify: iters left: 5 (14 enodes) 1545212121.969 * * [misc]simplify: iters left: 4 (17 enodes) 1545212121.973 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1545212121.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1545212121.973 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1545212121.973 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1545212121.973 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1545212121.973 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1545212121.973 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.973 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.975 * * [misc]simplify: iters left: 5 (14 enodes) 1545212121.977 * * [misc]simplify: iters left: 4 (17 enodes) 1545212121.980 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.980 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1545212121.980 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.980 * * [misc]simplify: iters left: 6 (11 enodes) 1545212121.982 * * [misc]simplify: iters left: 5 (14 enodes) 1545212121.984 * * [misc]simplify: iters left: 4 (17 enodes) 1545212121.986 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212121.986 * [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) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212121.986 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1545212121.986 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212121.986 * * [misc]simplify: iters left: 6 (10 enodes) 1545212121.989 * * [misc]simplify: iters left: 5 (13 enodes) 1545212121.992 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212121.992 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212121.993 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1545212121.993 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212121.993 * * [misc]simplify: iters left: 6 (10 enodes) 1545212121.996 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.000 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212122.000 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212122.000 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1545212122.000 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.000 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.003 * * [misc]simplify: iters left: 5 (11 enodes) 1545212122.006 * * [misc]simplify: iters left: 4 (14 enodes) 1545212122.010 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.010 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212122.010 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1545212122.010 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.010 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.013 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.015 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.017 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.018 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.018 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1545212122.018 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.018 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.020 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.022 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.024 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.024 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1545212122.024 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.024 * * [misc]simplify: iters left: 6 (11 enodes) 1545212122.026 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.028 * * [misc]simplify: iters left: 4 (17 enodes) 1545212122.030 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.030 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1545212122.031 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212122.031 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.032 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.034 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212122.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212122.034 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1545212122.034 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212122.034 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.036 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.038 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212122.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1545212122.038 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1545212122.038 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.038 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.039 * * [misc]simplify: iters left: 5 (11 enodes) 1545212122.041 * * [misc]simplify: iters left: 4 (14 enodes) 1545212122.043 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1545212122.043 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1545212122.043 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.043 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.045 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.047 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.051 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.051 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1545212122.052 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.052 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.055 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.059 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.064 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.065 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1545212122.065 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.065 * * [misc]simplify: iters left: 6 (11 enodes) 1545212122.068 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.070 * * [misc]simplify: iters left: 4 (17 enodes) 1545212122.073 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.073 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1545212122.073 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212122.073 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.075 * * [misc]simplify: iters left: 5 (12 enodes) 1545212122.076 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212122.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545212122.076 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1545212122.076 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212122.077 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.078 * * [misc]simplify: iters left: 5 (12 enodes) 1545212122.080 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212122.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1545212122.080 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1545212122.080 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212122.080 * * [misc]simplify: iters left: 6 (8 enodes) 1545212122.081 * * [misc]simplify: iters left: 5 (10 enodes) 1545212122.083 * * [misc]simplify: iters left: 4 (13 enodes) 1545212122.084 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212122.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545212122.084 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1545212122.085 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.085 * * [misc]simplify: iters left: 6 (11 enodes) 1545212122.086 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.088 * * [misc]simplify: iters left: 4 (17 enodes) 1545212122.091 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.091 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1545212122.091 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.091 * * [misc]simplify: iters left: 6 (11 enodes) 1545212122.093 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.095 * * [misc]simplify: iters left: 4 (17 enodes) 1545212122.097 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212122.097 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1545212122.098 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.098 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.099 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.101 * * [misc]simplify: iters left: 4 (16 enodes) 1545212122.103 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.103 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1545212122.103 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.104 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.105 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.107 * * [misc]simplify: iters left: 4 (16 enodes) 1545212122.109 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.109 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.109 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1545212122.110 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1545212122.110 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.111 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.113 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.116 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1545212122.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545212122.116 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1545212122.116 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212122.116 * * [misc]simplify: iters left: 3 (6 enodes) 1545212122.117 * * [misc]simplify: iters left: 2 (7 enodes) 1545212122.118 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212122.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1545212122.119 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1545212122.119 * [enter]simplify: Simplifying (pow PI 1/2) 1545212122.119 * * [misc]simplify: iters left: 1 (3 enodes) 1545212122.119 * [exit]simplify: Simplified to (sqrt PI) 1545212122.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1545212122.119 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1545212122.120 * [enter]simplify: Simplifying (pow PI 1/2) 1545212122.120 * * [misc]simplify: iters left: 1 (3 enodes) 1545212122.120 * [exit]simplify: Simplified to (sqrt PI) 1545212122.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1545212122.120 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1545212122.120 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212122.120 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.122 * * [misc]simplify: iters left: 5 (11 enodes) 1545212122.124 * * [misc]simplify: iters left: 4 (14 enodes) 1545212122.127 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545212122.128 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1545212122.128 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1545212122.128 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212122.128 * * [misc]simplify: iters left: 6 (8 enodes) 1545212122.130 * * [misc]simplify: iters left: 5 (10 enodes) 1545212122.133 * * [misc]simplify: iters left: 4 (13 enodes) 1545212122.135 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545212122.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1545212122.135 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1545212122.135 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1545212122.135 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545212122.135 * * [misc]simplify: iters left: 5 (8 enodes) 1545212122.136 * * [misc]simplify: iters left: 4 (11 enodes) 1545212122.138 * * [misc]simplify: iters left: 3 (14 enodes) 1545212122.140 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545212122.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.140 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1545212122.140 * [enter]simplify: Simplifying (pow PI 1/2) 1545212122.140 * * [misc]simplify: iters left: 1 (3 enodes) 1545212122.141 * [exit]simplify: Simplified to (sqrt PI) 1545212122.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1545212122.141 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1545212122.141 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1545212122.141 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212122.141 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.143 * * [misc]simplify: iters left: 5 (21 enodes) 1545212122.147 * * [misc]simplify: iters left: 4 (44 enodes) 1545212122.157 * * [misc]simplify: iters left: 3 (125 enodes) 1545212122.206 * * [misc]simplify: iters left: 2 (343 enodes) 1545212122.310 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545212122.310 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1545212122.310 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1545212122.310 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212122.310 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.313 * * [misc]simplify: iters left: 5 (21 enodes) 1545212122.316 * * [misc]simplify: iters left: 4 (44 enodes) 1545212122.326 * * [misc]simplify: iters left: 3 (125 enodes) 1545212122.380 * * [misc]simplify: iters left: 2 (343 enodes) 1545212122.523 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1545212122.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1545212122.523 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1545212122.524 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.524 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.526 * * [misc]simplify: iters left: 5 (19 enodes) 1545212122.530 * * [misc]simplify: iters left: 4 (32 enodes) 1545212122.542 * * [misc]simplify: iters left: 3 (67 enodes) 1545212122.557 * * [misc]simplify: iters left: 2 (194 enodes) 1545212122.638 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545212122.638 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1545212122.638 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1545212122.638 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1545212122.638 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1545212122.639 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.639 * * [misc]simplify: iters left: 6 (14 enodes) 1545212122.644 * * [misc]simplify: iters left: 5 (26 enodes) 1545212122.650 * * [misc]simplify: iters left: 4 (58 enodes) 1545212122.661 * * [misc]simplify: iters left: 3 (117 enodes) 1545212122.695 * * [misc]simplify: iters left: 2 (193 enodes) 1545212122.792 * * [misc]simplify: iters left: 1 (263 enodes) 1545212122.893 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212122.893 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1545212122.894 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1545212122.894 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1545212122.894 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1545212122.894 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1545212122.894 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545212122.894 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.896 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.898 * * [misc]simplify: iters left: 4 (16 enodes) 1545212122.900 * * [misc]simplify: iters left: 3 (17 enodes) 1545212122.902 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545212122.902 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212122.902 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212122.902 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.904 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.906 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212122.906 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212122.906 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1545212122.906 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545212122.906 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.908 * * [misc]simplify: iters left: 5 (14 enodes) 1545212122.910 * * [misc]simplify: iters left: 4 (16 enodes) 1545212122.912 * * [misc]simplify: iters left: 3 (17 enodes) 1545212122.914 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545212122.914 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212122.914 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212122.915 * * [misc]simplify: iters left: 6 (10 enodes) 1545212122.917 * * [misc]simplify: iters left: 5 (13 enodes) 1545212122.920 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212122.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212122.921 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1545212122.921 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212122.921 * * [misc]simplify: iters left: 6 (11 enodes) 1545212122.924 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.926 * * [misc]simplify: iters left: 4 (20 enodes) 1545212122.929 * * [misc]simplify: iters left: 3 (21 enodes) 1545212122.931 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545212122.932 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212122.932 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.932 * * [misc]simplify: iters left: 6 (9 enodes) 1545212122.933 * * [misc]simplify: iters left: 5 (11 enodes) 1545212122.935 * * [misc]simplify: iters left: 4 (14 enodes) 1545212122.937 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212122.937 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212122.937 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1545212122.937 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.937 * * [misc]simplify: iters left: 6 (14 enodes) 1545212122.939 * * [misc]simplify: iters left: 5 (23 enodes) 1545212122.943 * * [misc]simplify: iters left: 4 (35 enodes) 1545212122.949 * * [misc]simplify: iters left: 3 (38 enodes) 1545212122.958 * * [misc]simplify: iters left: 2 (41 enodes) 1545212122.971 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212122.971 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212122.972 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.972 * * [misc]simplify: iters left: 6 (12 enodes) 1545212122.976 * * [misc]simplify: iters left: 5 (15 enodes) 1545212122.980 * * [misc]simplify: iters left: 4 (18 enodes) 1545212122.985 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.985 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212122.985 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1545212122.986 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212122.986 * * [misc]simplify: iters left: 6 (13 enodes) 1545212122.990 * * [misc]simplify: iters left: 5 (18 enodes) 1545212122.995 * * [misc]simplify: iters left: 4 (23 enodes) 1545212123.002 * * [misc]simplify: iters left: 3 (24 enodes) 1545212123.009 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.009 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.009 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.009 * * [misc]simplify: iters left: 6 (12 enodes) 1545212123.013 * * [misc]simplify: iters left: 5 (15 enodes) 1545212123.017 * * [misc]simplify: iters left: 4 (18 enodes) 1545212123.022 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.022 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.023 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1545212123.023 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545212123.023 * * [misc]simplify: iters left: 6 (6 enodes) 1545212123.025 * * [misc]simplify: iters left: 5 (10 enodes) 1545212123.028 * * [misc]simplify: iters left: 4 (16 enodes) 1545212123.032 * * [misc]simplify: iters left: 3 (18 enodes) 1545212123.036 * * [misc]simplify: iters left: 2 (23 enodes) 1545212123.042 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212123.042 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.042 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.042 * * [misc]simplify: iters left: 6 (11 enodes) 1545212123.046 * * [misc]simplify: iters left: 5 (14 enodes) 1545212123.050 * * [misc]simplify: iters left: 4 (17 enodes) 1545212123.055 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.055 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.055 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1545212123.055 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545212123.055 * * [misc]simplify: iters left: 5 (9 enodes) 1545212123.058 * * [misc]simplify: iters left: 4 (11 enodes) 1545212123.061 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545212123.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212123.061 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212123.062 * * [misc]simplify: iters left: 6 (10 enodes) 1545212123.065 * * [misc]simplify: iters left: 5 (13 enodes) 1545212123.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212123.069 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212123.069 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1545212123.069 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545212123.070 * * [misc]simplify: iters left: 5 (9 enodes) 1545212123.072 * * [misc]simplify: iters left: 4 (11 enodes) 1545212123.075 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545212123.076 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1545212123.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545212123.076 * * [misc]simplify: iters left: 6 (10 enodes) 1545212123.079 * * [misc]simplify: iters left: 5 (13 enodes) 1545212123.083 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545212123.083 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1545212123.083 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1545212123.083 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545212123.083 * * [misc]simplify: iters left: 6 (10 enodes) 1545212123.086 * * [misc]simplify: iters left: 5 (12 enodes) 1545212123.090 * * [misc]simplify: iters left: 4 (15 enodes) 1545212123.094 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545212123.094 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212123.094 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212123.095 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.097 * * [misc]simplify: iters left: 5 (11 enodes) 1545212123.101 * * [misc]simplify: iters left: 4 (14 enodes) 1545212123.105 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545212123.105 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1545212123.105 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1545212123.105 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.105 * * [misc]simplify: iters left: 6 (13 enodes) 1545212123.109 * * [misc]simplify: iters left: 5 (18 enodes) 1545212123.114 * * [misc]simplify: iters left: 4 (21 enodes) 1545212123.122 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.122 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.123 * * [misc]simplify: iters left: 6 (12 enodes) 1545212123.126 * * [misc]simplify: iters left: 5 (15 enodes) 1545212123.130 * * [misc]simplify: iters left: 4 (18 enodes) 1545212123.135 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.136 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.136 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1545212123.136 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.136 * * [misc]simplify: iters left: 6 (12 enodes) 1545212123.140 * * [misc]simplify: iters left: 5 (15 enodes) 1545212123.144 * * [misc]simplify: iters left: 4 (18 enodes) 1545212123.149 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.149 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.149 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.150 * * [misc]simplify: iters left: 6 (12 enodes) 1545212123.153 * * [misc]simplify: iters left: 5 (15 enodes) 1545212123.157 * * [misc]simplify: iters left: 4 (18 enodes) 1545212123.162 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.163 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.163 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1545212123.163 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545212123.163 * * [misc]simplify: iters left: 4 (5 enodes) 1545212123.165 * * [misc]simplify: iters left: 3 (7 enodes) 1545212123.168 * * [misc]simplify: iters left: 2 (9 enodes) 1545212123.169 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212123.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.170 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.170 * * [misc]simplify: iters left: 6 (11 enodes) 1545212123.173 * * [misc]simplify: iters left: 5 (14 enodes) 1545212123.178 * * [misc]simplify: iters left: 4 (17 enodes) 1545212123.183 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.183 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.183 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1545212123.183 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545212123.183 * * [misc]simplify: iters left: 5 (7 enodes) 1545212123.185 * * [misc]simplify: iters left: 4 (11 enodes) 1545212123.188 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545212123.188 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212123.188 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212123.189 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.191 * * [misc]simplify: iters left: 5 (12 enodes) 1545212123.195 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212123.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545212123.195 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1545212123.195 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545212123.196 * * [misc]simplify: iters left: 5 (7 enodes) 1545212123.198 * * [misc]simplify: iters left: 4 (11 enodes) 1545212123.201 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545212123.201 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545212123.201 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545212123.201 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.204 * * [misc]simplify: iters left: 5 (12 enodes) 1545212123.208 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545212123.208 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1545212123.208 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1545212123.209 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545212123.209 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.212 * * [misc]simplify: iters left: 5 (13 enodes) 1545212123.215 * * [misc]simplify: iters left: 4 (16 enodes) 1545212123.219 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545212123.220 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212123.220 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212123.220 * * [misc]simplify: iters left: 6 (8 enodes) 1545212123.222 * * [misc]simplify: iters left: 5 (10 enodes) 1545212123.226 * * [misc]simplify: iters left: 4 (13 enodes) 1545212123.230 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545212123.230 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545212123.230 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1545212123.230 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.230 * * [misc]simplify: iters left: 6 (12 enodes) 1545212123.233 * * [misc]simplify: iters left: 5 (19 enodes) 1545212123.235 * * [misc]simplify: iters left: 4 (22 enodes) 1545212123.238 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212123.238 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.238 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.238 * * [misc]simplify: iters left: 6 (11 enodes) 1545212123.240 * * [misc]simplify: iters left: 5 (14 enodes) 1545212123.242 * * [misc]simplify: iters left: 4 (17 enodes) 1545212123.244 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.245 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.245 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1545212123.245 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.245 * * [misc]simplify: iters left: 6 (11 enodes) 1545212123.247 * * [misc]simplify: iters left: 5 (16 enodes) 1545212123.249 * * [misc]simplify: iters left: 4 (19 enodes) 1545212123.251 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545212123.251 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.251 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.252 * * [misc]simplify: iters left: 6 (11 enodes) 1545212123.253 * * [misc]simplify: iters left: 5 (14 enodes) 1545212123.255 * * [misc]simplify: iters left: 4 (17 enodes) 1545212123.258 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545212123.258 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545212123.258 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1545212123.258 * [enter]simplify: Simplifying (/ 1 1) 1545212123.258 * * [misc]simplify: iters left: 2 (2 enodes) 1545212123.259 * * [misc]simplify: iters left: 1 (4 enodes) 1545212123.259 * [exit]simplify: Simplified to 1 1545212123.259 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.259 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.260 * * [misc]simplify: iters left: 6 (10 enodes) 1545212123.261 * * [misc]simplify: iters left: 5 (13 enodes) 1545212123.263 * * [misc]simplify: iters left: 4 (16 enodes) 1545212123.265 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.265 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.265 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1545212123.265 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1545212123.265 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1545212123.265 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1545212123.265 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212123.266 * * [misc]simplify: iters left: 5 (7 enodes) 1545212123.267 * * [misc]simplify: iters left: 4 (10 enodes) 1545212123.269 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212123.269 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545212123.269 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1545212123.269 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545212123.270 * * [misc]simplify: iters left: 5 (7 enodes) 1545212123.272 * * [misc]simplify: iters left: 4 (10 enodes) 1545212123.275 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545212123.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1545212123.275 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1545212123.275 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545212123.275 * * [misc]simplify: iters left: 5 (6 enodes) 1545212123.277 * * [misc]simplify: iters left: 4 (8 enodes) 1545212123.279 * * [misc]simplify: iters left: 3 (11 enodes) 1545212123.282 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545212123.283 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1545212123.283 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1545212123.283 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.283 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.286 * * [misc]simplify: iters left: 5 (12 enodes) 1545212123.290 * * [misc]simplify: iters left: 4 (15 enodes) 1545212123.294 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.294 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.294 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1545212123.294 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.294 * * [misc]simplify: iters left: 6 (9 enodes) 1545212123.297 * * [misc]simplify: iters left: 5 (12 enodes) 1545212123.301 * * [misc]simplify: iters left: 4 (15 enodes) 1545212123.305 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545212123.305 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1545212123.305 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1545212123.306 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545212123.306 * * [misc]simplify: iters left: 5 (8 enodes) 1545212123.308 * * [misc]simplify: iters left: 4 (11 enodes) 1545212123.311 * * [misc]simplify: iters left: 3 (14 enodes) 1545212123.315 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545212123.315 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.315 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1545212123.316 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212123.316 * * [misc]simplify: iters left: 4 (4 enodes) 1545212123.317 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545212123.317 * [misc]simplify: Simplified (2 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)))))) 1545212123.317 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1545212123.317 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545212123.318 * * [misc]simplify: iters left: 2 (3 enodes) 1545212123.318 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545212123.318 * [misc]simplify: Simplified (2 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)))))) 1545212123.319 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1545212123.319 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1545212123.319 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545212123.319 * * [misc]simplify: iters left: 3 (6 enodes) 1545212123.321 * * [misc]simplify: iters left: 2 (7 enodes) 1545212123.323 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545212123.323 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1545212123.323 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1545212123.323 * [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)))) 1545212123.324 * * [misc]simplify: iters left: 6 (18 enodes) 1545212123.330 * * [misc]simplify: iters left: 5 (39 enodes) 1545212123.345 * * [misc]simplify: iters left: 4 (104 enodes) 1545212123.377 * * [misc]simplify: iters left: 3 (275 enodes) 1545212123.517 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545212123.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.517 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1545212123.518 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545212123.518 * * [misc]simplify: iters left: 5 (6 enodes) 1545212123.520 * * [misc]simplify: iters left: 4 (9 enodes) 1545212123.524 * * [misc]simplify: iters left: 3 (17 enodes) 1545212123.528 * * [misc]simplify: iters left: 2 (20 enodes) 1545212123.533 * * [misc]simplify: iters left: 1 (24 enodes) 1545212123.543 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545212123.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.543 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1545212123.543 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545212123.543 * * [misc]simplify: iters left: 5 (6 enodes) 1545212123.545 * * [misc]simplify: iters left: 4 (9 enodes) 1545212123.549 * * [misc]simplify: iters left: 3 (17 enodes) 1545212123.555 * * [misc]simplify: iters left: 2 (20 enodes) 1545212123.560 * * [misc]simplify: iters left: 1 (24 enodes) 1545212123.570 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545212123.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545212123.570 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1545212123.570 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545212123.571 * * [misc]simplify: iters left: 6 (35 enodes) 1545212123.586 * * [misc]simplify: iters left: 5 (99 enodes) 1545212123.630 * * [misc]simplify: iters left: 4 (298 enodes) 1545212123.802 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545212123.802 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1545212123.803 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1545212123.803 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545212123.803 * * [misc]simplify: iters left: 6 (13 enodes) 1545212123.806 * * [misc]simplify: iters left: 5 (27 enodes) 1545212123.810 * * [misc]simplify: iters left: 4 (53 enodes) 1545212123.819 * * [misc]simplify: iters left: 3 (116 enodes) 1545212123.867 * * [misc]simplify: iters left: 2 (362 enodes) 1545212124.145 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545212124.145 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1545212124.145 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1545212124.145 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545212124.145 * * [misc]simplify: iters left: 6 (13 enodes) 1545212124.148 * * [misc]simplify: iters left: 5 (24 enodes) 1545212124.153 * * [misc]simplify: iters left: 4 (54 enodes) 1545212124.165 * * [misc]simplify: iters left: 3 (143 enodes) 1545212124.256 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545212124.257 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1545212124.257 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1545212124.257 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545212124.257 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212124.257 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1545212124.258 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545212124.258 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212124.258 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1545212124.258 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545212124.258 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545212124.258 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1545212124.258 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545212124.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545212124.258 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1545212124.259 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545212124.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545212124.259 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1545212124.259 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545212124.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545212124.259 * * * [misc]progress: adding candidates to table 1545212128.208 * [misc]progress: [Phase 3 of 3] Extracting. 1545212128.208 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545212128.209 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545212128.209 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545212128.257 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545212128.313 * * * [misc]regime: Found split indices: #